Select all ratios equivalent to 5:15.
2:60, 20:9, 7:21, 1:3

Answers

Answer 1
20:9 and 1:3, it says my character count is too short so I'm writing this LOL

Related Questions

1. Determine which ratio forms a proportion with 9/5 by finding a common multiplier.
a. 54/30 b. 45/50 c. 45/40 d. 90/20 2. Determine which ratio forms a proportion with 15/8 by using cross products.
a. 25/16 b. 30/12 c. 60/32 d. 75/32 3. Solve 3/27 = w/54 a. 2 b. 6 c. 9 d. 18 4. In a survey, 3 out of 10 people names blue as their favorite color. 1 out of 5 named red. If 1,200 people were included in the survey, how many named blue or red as their favorite color?
a. 700 people b. 800 people c. 600 people d. 400 people 5.Solve the proportion using cross products. Round to the nearest hundredth if necessary.
12 miles/27 hours = 4 miles/ h hours a. 28 b. 12 c. 9 d. 18 6. LA is about 385 miles from San F. How far apart would the cities be on the map with a scale of 1 inch = 15 miles. If necessary, round to the nearest hundredth.
a. 26.33 in. b. 25.67 in. c. 24.33 in. d. 27.50 in

Answers

Final answer:

To find the ratio that forms a proportion with 9/5, we can find a common multiplier for each option and check if the resulting ratios are equal to 9/5.

Explanation:

If we want to determine which ratio forms a proportion with 9/5, we can find a common multiplier. We can multiply both the numerator and denominator of each ratio by the same number and check if the resulting ratios are equal to 9/5.

Let's check each option:

a. 54/30: multiplying by 6 gives us 54/30 = 9/5, so this ratio forms a proportion with 9/5.b. 45/50: multiplying by 10 gives us 450/500 = 9/10, so this ratio does not form a proportion with 9/5.c. 45/40: multiplying by 8 gives us 360/320 = 9/8, so this ratio does not form a proportion with 9/5.d. 90/20: multiplying by 2 gives us 180/40 = 9/2, so this ratio does not form a proportion with 9/5.

Therefore, the ratio 54/30 (option a) forms a proportion with 9/5.

What is the expression for "the difference of five times a number and twice that number"?

5(2 - N)
5N - 2N
2N - 5N
5(N - 2)

Answers

"The difference of" means subtraction
"of 5 times a number" means 5N
"and twice that number" means 2N
So the statement is the subtraction of 5N and 2N

5N - 2N
The second option is correct.

Which of the following options best describes an algebraic fraction?

Select All That Apply.

1.) Common denominators
2.) a variable in the numerator
3.) a variable in the denominator
4.) a variable with an exponent.

I already know 4 for sure is one...

Answers

Here is the answer of the given question above. The following options that best describes an algebraic fraction would be a variable in the numerator, a variable in the denominator and a variable with an exponent. By definition, algebraic expression is a mathematical phrase that contains variables, numbers and operations. Hope this helps.

Answer:

Option 1,2 and 3.

Step-by-step explanation:

An algebraic expression is such a mathematical representation of variables

Algebra is relation with variables a,y,z and so on

So, Option 2 is correct that is it will contain variable in numerator.

Similarly, Option 3 is correct that is it will contain variable in denominator.

Option 4 is incorrect because if it  contains variable with an exponent then it will not be algebraic it will become exponent function.

Option 1 is correct because it may have common denominator an algebraic fraction will have common denominator.

When you sign up for a movie service, you get three free months of movies. Then you are charged $15 per month to rent movies. If you pay $90, how many months of use do you get?

Answers

So your base equation would be y = 15x - 45
(The -45 is the free three months)
Then you would substitute 90 into the y position and solve, so your answer would be 9 months.

Answer:

9 months!!

Step-by-step explanation:

Which of the following at the three cs of credit

Answers

the 3 c's of credit are : Character, Capital, and Capacity
Final answer:

The three Cs of credit are character, capacity, and capital, which represent the creditworthiness of an individual or business as assessed by lenders based on reputation, ability to repay, and assets for collateral respectively.

Explanation:

The three Cs of credit refer to character, capacity, and capital. These are the main criteria that lenders consider when assessing the creditworthiness of an individual or business. Character refers to the borrower's reputation and track record for repaying debts. Capacity is the borrower's ability to repay the loan, determined by their income and existing debt levels. And capital relates to the wealth or assets the borrower can offer as collateral. When banks conduct credit checks or require a co-signer, they are evaluating these aspects to decide on lending money.

During renovation, a pillar is supported by two braces as shown in the diagram. Based on the diagram, at what height should the short brace touch the pillar to ensure that the short brace is parallel to the long brace?
 
10 feet

12 feet

15 feet

17 feet

Answers

The answer is A. 10 feet, on Plato.


Describe the angle formed by the hands of a clock at 3:00 in the term of degrees and radians ...?

Answers

The minutes hand is at 12 and the hours hand is at 3, meaning the are perpendicular.
This is equivalent to an angle of 90° or π/2 radians.

Answer:

90 degree and  [tex]\frac{pi}{180}[/tex] radians.

Step-by-step explanation:

Given  :  Angle formed by the hands of a clock at 3:00

To find : Write in  term of degrees and radians ...

Solution : We have given that a clock show the time 3 :00

We know that at 3 : 00 clock show hour hand at 3 and minute hand at 12.

Angle formed by the minute hand at 12 and hour hand at 3 is 90 degree.

90 degree =  [tex]\frac{pi}{180}[/tex] radian.

Therefore, 90 degree and  [tex]\frac{pi}{180}[/tex]radians.

The formula D = rt gives the distance traveled in time T at rate R. A bicyclist rides at a constant rate of 15 miles per hour. How many miles will she travel in 3.5 hours?

A. 52.5
B. 4.3
C. 23.3
D. 18.5

Answers

The answer is: [A]:  52.5 (mi.) 
________________________________________
Explanation:
_________________________
Use the formula: D = r*t .
_________________________
{Note of interest: The formula is not unique to this specific problem; but is actually true and will appear in physics and even advanced math and calculus!).
____________________________________________
In which: D = distance traveled (which we want to solve);
                  r = rate of travel; which we are given as: "15 mi / h" ;
                  t  = time traveled; which we are given as: "3.5 h" ,
______________________________________________
We want to solve for "D".
______________________
 Make sure all the units are equal (which they are!). They are all in "mi." and "hours".  And the questions asks for the value in miles
___________________________________
D = r * t ; solve for "D" ; by plugging in our known values of "r" and "t":
____________________________________
→ D = r * t  = [tex] \frac{15 mi}{h} [/tex] * (3.5 h) ;  
____________________________________
→ The 2 "h's" cancel out; and we are left with:
______________________________________
→ D = (15 mi.) * 3.5 = 52.5 mi. → which is answer choice: [A].
______________________________________

32/50 in simplest form

Answers

32 ÷ 2
_____ = 16 over 25
50 ÷ 2

So, 32 over 50 in simplest form is 16 over 25

The maximum distance D(h) in kilometers that a person can see from a height h kilometers above the ground is given by the function D(h)=111.7 times square root of h. Find the height that would allow a person to see 50 kilometers.

Answers

Final answer:

To find the height that allows a person to see 50 kilometers, we set the given function equal to 50 and solve for h. This calculation gives us the height as approximately 0.2 kilometers.

Explanation:

The question requires us to find the height h that would allow a person to see 50 kilometers, given the function D(h)=111.7 * sqrt(h).

We can solve this by setting the function equal to 50 and then solving for h. Like so: 50 = 111.7 * sqrt(h).

To isolate sqrt(h), we divide both sides of the equation by 111.7: sqrt(h) = 50 / 111.7.

Then we square both sides of the equation to solve for h: h = (50 / 111.7)^2.

Upon calculating the right side of this equation, we find that the height is approximately 0.2 kilometers.

Learn more about Height here:

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The answer for this question is 0.2 Kilometers or 200 meters(approx.)

The detailed explanation is as follows :

The maximum distance D(h) in kilometers that a person can see from a height h kilometers above the ground is given by the function D(h)=111.7 times square root of h. We need to find the height that would allow a person to see 50 kilometers.

To solve this problem, we need to find the height h that allows a person to see a distance of 50 kilometers. We start with the given function:

D(h) = 111.7 * sqrt(h)

We set D(h) to 50 kilometers:

50 = 111.7 * sqrt(h)

To isolate sqrt(h), we divide both sides by 111.7:

sqrt(h) = 50 / 111.7

Next, we calculate the division:

sqrt(h) ≈ 0.4475

Now we square both sides to find h:

h = (0.4475)^2 ≈ 0.2002

Therefore, the height that allows a person to see 50 kilometers is approximately 0.2002 kilometers, or 200.2 meters above the ground.

Hence the required answer is 0.2 kilometers or 200 meters(approximately)

What is the sum of 58 76?

Answers

134 is the answer to your question

"The sum of 58 and 76 is 134.

To find the sum of two numbers, one simply needs to add them together. In this case, the numbers are 58 and 76.

The addition can be performed as follows:

[tex]\[ 58 + 76 = 134 \][/tex]

Thus, the correct answer to the question ""What is the sum of 58 and 76?"" is 134."

*Will give brainliest. $1,500 is invested into an account with an interest rate of 6.75%. How many years will it take for the account to reach $7,300? Round to the nearest hundredth

Answers

The formula of a continuous compound interest is
A=p e^rt
A future value 7300
P present value 1500
E constant
R interest rate 0.0675
T time?
Solve the formula for t
T=[log (A/p)÷log (e)]÷r
T=(log(7,300÷1,500)÷log(e))÷0.0675
T=23 years

Using the compound interest formula, it will take approximately 24.53 years for an initial investment of $1,500 to grow to $7,300 at an annual interest rate of 6.75%. This is calculated by solving for t in the rearranged compound interest formula.

To determine how many years it will take for your $1,500 investment to reach $7,300 with an interest rate of 6.75% compounded annually, we use the formula for compound interest:

[tex]A = P(1 + r/n)^{(nt)[/tex]

Where:

A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money, $1,500).r is the annual interest rate (decimal, so 6.75% becomes 0.0675).n is the number of times that interest is compounded per year (since it's annual, n = 1).t is the number of years.

We rearrange the formula to solve for t:

t = (log(A/P) / log(1 + r/n)) / n

Plug in the known values:

t = (log(7300/1500) / log(1 + 0.0675)) / 1

Calculate the logarithms:

t ≈ (log(4.8667) / log(1.0675))

t ≈ (0.6887 / 0.0281)

t ≈ 24.53

It will take approximately 24.53 years for the investment to grow to $7,300.

1) Is it possible to have a function f defined on [ 2 , 4 ] and meets the given conditions?
f is continuous on [ 2 , 4 ), minimum value f(4)=2, and no maximum value.

2) Is it possible to have a function f defined on [ 4 , 5 ] and meets the given conditions?
f is continuous on [ 4 , 5 ], takes on no rational values.

3) Is it possible to have a function f defined on [ 2 , 5 ] and meets the given conditions?
f is continuous on [ 2 ,5 ] and the range of f is an unbounded interval.

Answers

the answer

1 and 2 are possibles, but 3 is not.

The possibility statements are:

PossiblePossibleNot possible

Statement 1

The function is defined on [2.4]

The above means that, the minimum is 2, and the maximum is 4

However, since the function is continuous at [2,4), the close bracket ")" means that the function extends indefinitely i.e. no maximum.

Hence, this statement is possible

Statement 2

The function is defined on [4.5]

The above means that, the minimum is 4, and the maximum is 5

However, since the function is continuous at [4,5], the close brackets "[" and "]" mean that the function have finite values

Hence, this statement is possible

Statement 3

The function is defined on [2,5]

The above means that, the minimum is 2, and the maximum is 5

However, since the function is continuous at [2,5], the close brackets "[" and "]" mean that the function have finite values and it has bounded intervals

Hence, this statement is not possible

Read more about continuous functions at:

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find the x-intercept of the parabola with vertex (4,-1) and y- intercept (0,15). write answer in (x1,y1) (x2,y2) form :D ...?

Answers

Vertex form of the equation:
y = a ( x - h )² + k;
15 = a ( 0 - 4 )² - 1
15 = 16 a - 1
16 a = 16
a = 16 : 16
a = 1
After that we have to transform the equation to the standard form:
y = ( x - 4 )² - 1
y = x² - 8 x + 16 - 1
y = x² - 8 x + 15
Finally we have to find the zeroes:
x² - 8 x + 15 = 0
x² - 5 x - 3 x + 15 = 0
x ( x - 5 ) - 3 ( x - 5 ) = 0
( x - 5 ) ( x - 3 ) = 0
x = 3, x = 5
Answer:
( x 1, y 1 ) ; ( x 2 , y 2 ) = ( 3, 0 ) ; ( 5 , 0 )
 

Answer:

(3,0),(5,0)

Step-by-step explanation:

Add the comma in the middle or Plato will mark it wrong

90 in fraction form show your work

Answers

it would be 90/100 
which could then be simplified to 9/10

hope this helps you

a bowling ball is dropped from a height of 24 feet. write a function that gives the height h (in feet) of the bowling ball after t seconds

Answers

gravity pulls at 32 feet per second so it would take .75sec to hit the ground now make an equation that can make this applicable so after .75 second T it would be at 0 feet H

Answer:

[tex]h=16t^2[/tex]

Step-by-step explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration due to gravity = 32 ft/s²

[tex]s=ut+\frac{1}{2}at^2\\\Rightarrow h=ut+\frac{1}{2}32\times t^2\\\Rightarrow h=ut+16t^2[/tex]

Here, u = 0 so,

[tex]h=0t+16t^2\\\Rightarrow h=16t^2[/tex]

The equation is [tex]h=16t^2[/tex]

[tex]24=16t^2\\\Rightarrow t=\sqrt{\frac{24}{16}}\\\Rightarrow t=1.22\ s[/tex]

Time taken by the ball to hit the ground is 1.22 seconds

What are the sine, cosine, and tangent of Θ = 3 pi over 4 radians?

sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = -1

sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = 1

sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = 1

sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = -1

Answers

[tex] \frac{3 \pi }{4} * \frac{180degrees}{ \pi } = 135 degrees[/tex].

Drawing a reference triangle, this is 45 degrees in the second quadrant.
See attached.

Sine theta will be opposite/hypotenuse
[tex]= \frac{1}{ \sqrt{2} } * \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{2} }{2} [/tex]

Cosine will be adjacent/hypotenuse
[tex] \frac{-1}{ \sqrt{2} } * \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{- \sqrt{2} }{2} [/tex]

Tangent will be opposite/adjacent
[tex] \frac{1}{-1}=-1 [/tex]

Why Are Mr. and Mrs. Number so Happy?

Answers

They are going to have a little 1.

Mr. and Mrs. Number are so happy because they are both prime numbers, which are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

For example:

Mr. Number could be 2, as it is divisible only by 1 and 2.

Mrs. Number could be 3, as it is divisible only by 1 and 3.

Prime numbers have unique properties and are considered special in mathematics. They play a fundamental role in number theory and various mathematical algorithms. Additionally, prime numbers are essential in cryptography, ensuring secure communication and data encryption.

So, Mr. and Mrs. Number are happy because they share the special quality of being prime numbers, making them quite unique and valuable in the mathematics.

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289 + 456 x 789 / 489 - 746 + 2457 x 3453 / 3646 =

Answers

just remeber BEDMAS and you can solve this easily

289 + (456 x 789 / 489) - 746 + (2457 x 3453 / 3646) =
289 + (456 x 789 / 489) - 746 + (2457 x 3453 / 3646)=  2605.69

289 + 456 x 789 / 489 - 746 + 2457 x 3453 / 3646
According to Board mass, do all the divisions in the expression,

289 + 456 * 1.61 - 746 + 2457 * 0.94
Now, all the multiplications,

289 + 734.16 - 746 + 2309.58
Now, all the subtraction,

289 - 11.84 + 2309.08
277.16 + 2309.08

Now, Addition,
277.16 + 2309.08 = 2586.24

So, you final answer is 2586.24

Hope this helps!



PLEEEAAASE HEEEELP
what is the cube root of -729a^9 b^6

-9a3b2
-9a2b3

Answers

-9a3b2 is the answer

The Florida tourism board surveyed people on their favorite vacation cities. Half of the people said Orlando, 1/4 said Miami, 1/8 said Kissimmee, 1/16 said Fort Lauderdale, 1/32 said Key West, and the rest said Tampa. If 22 people said Tampa, how many people responded Orlando?

Answers

352? I'm not so sure.
Final answer:

To find out how many people responded Orlando, we need to add up the fractions for Miami, Kissimmee, Fort Lauderdale, Key West, and Tampa and then set up a proportion to find the number of people who said Orlando. The answer is approximately 47 people.

Explanation:

To find out how many people responded Orlando, we need to add up the fractions for Miami, Kissimmee, Fort Lauderdale, Key West, and Tampa since the rest said Tampa. The fractions we need to add are 1/4, 1/8, 1/16, and 1/32. Let's calculate each fraction to get a common denominator.

1/4 = 8/32, 1/8 = 4/32, 1/16 = 2/32, 1/32 = 1/32.

Now we can add them up: 8/32 + 4/32 + 2/32 + 1/32 = 15/32.

Since the remaining fraction is Tampa, which corresponds to 22 people, we can set up a proportion: 15/32 = 22/x to find out how many people said Orlando. Cross-multiply and solve for x: 32 * 22 = 15x, 704 = 15x, x = 704/15, x ≈ 46.93.

Therefore, approximately 47 people responded Orlando.

What does this mean:

Answers

what does what mean you dont have enything on there



HELPPPPPP
A person can order a new car with a choice of 10 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and with or without a CD player. In how many different ways can a new car be ordered with regard to these options?

Answers

Number of ways a new car can be ordered with regard to the options is 10 x 2! x 2! x 2! x 2! = 10 x 16 = 160 ways.

Final answer:

To find the number of different ways a new car can be ordered with various options, multiply the number of choices for each option.

Explanation:

To find the number of different ways a new car can be ordered with regard to the given options, we need to multiply the number of choices for each option. There are 10 possible colors, 2 choices for air conditioning (with or without), 2 choices for automatic transmission, 2 choices for power windows (with or without), and 2 choices for a CD player (with or without).

Therefore, the total number of different ways a new car can be ordered is:

10 colors × 2 choices for air conditioning × 2 choices for automatic transmission × 2 choices for power windows × 2 choices for a CD player = 10 × 2 × 2 × 2 × 2 = 160

(25ab^3)^1/3 divided by (ab)^-1/2

Answers

First, work on the denominator.
A negative exponent in the denominator is tehe same as a positive exponent in the numerator.
For example

Solve for b2 in A = 1/2 h(b1+b2), if A = 16, h = 4, and b1 = 3. 16= 1/2* 4(3+b2) =6+2b2 or, b2= [16-6]/2= 5

Answers

Assuming you are referring to the area of a "trapezoid"; in which one calculates the Area, "A", as follows:
________________________
 A = 1/2* h(b1+b2) ;

in which: A = Area = 16 (given); 
               h = height = 4 (given);
               b1 = length of one of the two bases = 3 (given);
               b2 = length of the other of the two bases = ? (what we want to solve                                                                                            for) ;
______________________________________________________
Using the formula: A = 1/2 h(b1+b2) ;
________________________________
Let us plug in our known values:
___________________________
 →  16 = (1/2) * 4*(3 + b2) ;  → Solve for "b2".
________________________________
 →Note: On the "right-hand side" on this equation: "(1/2)*(4) = 2 ." 
________________________________
 So, we can rewrite the equation as:
________________________________
 → 16 =   2*(3 + b2) ;  → Solve for "b2".
________________________________
We can divide EACH side of the equation by "2"; to cancel the "2" on the "right-hand side" of the equation:
________________________________
 → 16 / 2 =   [2*(3 + b2)] / 2  ;  → to get:
___________________________
8 = (3 + b2) ;
_________________
 → Rewrite as: 8 = 3 + b2;
_______________________
Subtract "3" from EACH side of the equation; to isolate "b2" on one side of the equation; and to solve for "b2" :
______________________________
 → 8 - 3 = 3 + b2 - 3 ;  → to get:
_____________________
b2 = 5;  From the 2 (TWO) answer choices given, this value,
"b2 = 5", corresponds with the following answer choice:
____________________
b2= [16-6]/2= 5 ; as this is the only answer choice that has: "b2 = 5".
_________________________________________

As far getting "b2 = 5"  from: "b2= [16-6]/2= 5"; (as mentioned in the answer choice), we need simply to approach the problem in a slightly different manner.  Let us do so, as follows:
_____________________________________
Start from: A = 1/2 h(b1+b2); and substitute our known (given) values):
________________________
→ 16 = (1/2) *4 (3 + b2) ; → Solve for "b2".
_____________________________
Note that: (½)*4 = 2;  so we can substitute "2" for: "(1/2) *4" ; 
and rewrite the equation as follows:
_________________________
→ 16 = 2 (3 + b2) ;
____________________
Note: The distributive property of multiplication:
_________________________
a*(b+c) = ab + ac ;
_________
As such: 2*(3 + b2) = (2*3 + 2*b2) = (6 + 2b2). 
_________________
So we can substitute: "(6 + 2b2)" in lieu of "[2*(3 + b2)]"; and can rewrite the equation:
______________________
→ 16 = 6 + 2(b2) ; Now, we can subtract "6" from EACH side of the equation; to attempt to isolate "b2" on one side of the equation:
________________________________________________
 → 16 - 6 =  6 + 2(b2) - 6 ;
      → Since "6-6 = 0"; the "6 - 6" on the "right-hand side" of the equation cancel.
→ We now have: 16 - 6 = 2*b2 ; 
___________
Now divide EACH SIDE of the equation by "2"; to isolate "b2" on one side of the equation; and to solve for "b2":
____________________
   → (16 - 6) / 2 = (2*b2) / 2 ; 
     → (16 - 6) / 2 = b2 ;
       → (10) / 2 = b2 = 5.
______________
NOTE: The other answer choice given: 
_____________
"16= 1/2* 4(3+b2)= 6+2b2" is incorrect; since it does not solve for "b2".

A tunnel is in the shape of a parabola. The maximum height is 31 m and it is 13 m wide at the base as shown below.

A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 31 meters and its width from left to right is 13 meters.

What is the vertical clearance 2 m from the edge of the tunnel?

Answers

Answer:

previous is correct

Step-by-step explanation:

Please help! I'm really confused.


Angle A = 8x - 2, angle B = 2x - 8, and angle C = 94 - 4x. List the sides of triangle ABC in order from shortest to longest.

Options: (all are line segments)
o AC, AB, BC
o AC, BC, AB
o AB, AC, BC
o AC, BC, AB

Answers

Answer:

First option is correct.

Step-by-step explanation:

In triangle ABC, [tex]\angle A=8x-2[/tex], [tex]\angle B=2x-8[/tex] and [tex]\angle C=94-4x[/tex].

According to angle sum property of a triangle, the sum of interior angles of a triangle is 180 degree.

[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]

[tex]8x-2+2x-8+94-4x=180[/tex]

[tex]6x+84=180[/tex]

[tex]6x=96[/tex]

Divide both sides by 6.

[tex]x=16[/tex]

Therefore the value of x is 16. The measure of angles are

[tex]\angle A=8(16)-2=126[/tex]

[tex]\angle B=2(16)-8=24[/tex]

[tex]\angle C=94-4(16)=30[/tex]

The opposite angle of shortest side is always smallest interior angle. Similarly the opposite angle of longest side is always largest interior angle.

[tex]\angle B<\angle C<\angle A[/tex]

[tex]AC<AB<BC[/tex]

Therefore option 1 is correct.

Anna has put her money into various investments. Which of the three Cs of credit do these investments fall into?
A. Capital
B. Character
C. Capacity

Answers

The correct answer is:

A) Capital.

Explanation:

Capital is any valuable assets that you have such as real estate, personal property, or savings and investments that you could possibly use to repay credit debts if necessary.

Anna has put her money into various investments. These are Anna's capital.

A capital amount is the money that is needed to start any business venture or investment. Capital is also an asset of any person. Apart from personal money, capital also include funds in ones deposit accounts, tangible things like machinery used for production purposes etc.

Harriet is comparing the costs of calling cards. To use card A, the cost is $1.00 to connect and then $0.04 per minute. To use card B, it costs $0.65 to connect and then $0.06 per minute. For what number of minutes does it cost the same amount to use each card for a single call?

Answers

1 + .04m = .65 + .06m 1 - .65 = .06m - .04m .35 = .02x .35/.02 = x 17.5 = x

Answer: There are 17.5 minutes for which it costs the same amount to use each card for a single call.

Step-by-step explanation:

Let the number of minutes be x

To use card A, the cost is $1.00 to connect and then $0.04 per minute.

So, our expression becomes,

[tex]1+0.04x[/tex]

To use card B, the cost is $0.65 to connect and then $0.06 per minute.

So, our expression becomes,

[tex]0.65+0.06x[/tex]

According to question, if it cost the same amount to use each card for a single call, then it will be

[tex]1+0.04x=0.65+0.06x\\\\1-0.65=0.06x-0.04x\\\\0.35=0.02x\\\\\frac{0.35}{0.02}=x\\\\17.5=x[/tex]

Hence, there are 17.5 minutes for which it costs the same amount to use each card for a single call.

The value of a van depreciates at the rate of 20% per year. Gary buys a new van for £27500. After n years the value of the van is £11264. Find the value of n.

Answers

N = the value after 4 years

Answer:

n = 3years

Step-by-step explanation:

If Gary buys a van £27500 and sell the van at a value of the £11264 after n years, depreciation will give us;

£27500-£11264 = £16236

If the van depreciates by 20% each year, yearly depreciation will be;

20% of £27500 = £5500

To get the total number of years n it takes the van to depreciate to £11264 will give total depreciation amount/yearly depreciation amount which gives;

£16236/£5500 = 2.9years

This means that the van has depreciate from £27500 to £11264 after 3years

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