Answer:
A)$1667 in 7.5%, $833 in 6%
Step-by-step explanation:
You need to average 7% interest.
initial investment = $2500
7% of $2500 = [tex]\frac{7}{100}[/tex] × 2500 ⇒ (0.07 ) × (2500) ⇒ $175
so the combined interest from both accounts should be $175
Checking options:
A)$1667 in 7.5%, $833 in 6% ∵ 7.5 % = 0.075
(1667 × 0.075) + (833 × 0.06) 6 % = 0.06
125.025 + 49.98 ⇒ 175.005
B) $1833 in 7.5%, $667 in 6%
(1833 × 0.075) + (667 × 0.06)
137.475 + 40.02 ⇒ 177.495
C)$667 in 7.5%, $1833 in 6%
(667 × 0.075) + (1833 × 0.06)
50.025 + 109.98 ⇒ 160.005
D)$833 in 7.5%, $1667 in 6%
(833 × 0.075) + (1667 × 0.06)
62.475 + 100.02 ⇒ 162.495
Option A is the closest to average7% interest of $2500, which is $175.
use the data from the table to create a scatter plot. plot all the data points from the table
I'm a bit confused which one goes first do I do B then A or A then B
Answer:
A on the botton axis and B on the left axis
Considering only functions with a greater rate of change than that of the function represented on the graph, which function has the lowest rate of change?
Answer:
a
Step-by-step explanation:
Answer:
C.
but whatever you do, don't put A or E cause it symbolizes a graph that is having a decrease in incline but this graph shows a positive incline
a hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any service . write a function to model the cost of services there and then determine how many services tou had iy you werecharged $25
A. F(x)= 15x+25; f(0)= 25
B.)f(x) = 25x+15;f(.4) =25
C.) f(x) = 15 x +25; f(25) =400
D.) f(x) = 25x +15;f(25) =640
The answer is A, it is 15x because the x is the number of services. The base rate is $25 so f(0) means 0 services so only $25
Answer:The answer is A, it is 15x because the x is the number of services. The base rate is $25 so f(0) means 0 services so only $25
Step-by-step explanation:
Which mathematical sentence is represented by the diagram?
A) 3^2 + 4^2 = 5^2
B) 3^2 + 5^2 = 4^2
C) 8^2 + 12^2 = 14^2
D) 9^2 + 16^2 = 25^2
Answer: A
Step-by-step explanation: It is a PT tripple 3,4,5
Also if you take the legs of the right triangle and square and add they get 5
Answer:
A
Step-by-step explanation:
Your parents ask you to choose between two offers for an allowance.
The first offer is to receive one penny on the first day, 2 penny’s on the second day, 4 pennies on the third day, 8 pennies on the fourth day and so on. (365 days).
Second offer is to receive 10 dollars the first week, 20 dollars the second week, 30 dollars the third week, and so on, for the entire year (52 weeks).
Which offer should you choose to make more money?
Answer:
The pennies
Step-by-step explanation:
We can create a geometric equation for the pennies and an arithmetic equation for the dollars.
The format for a geometric equation is
[tex]y=a_1(\frac{1-r^n}{1-r} )[/tex]
If we plug in the values we already know we should get the equation.
[tex]y=2^x-1[/tex]
Now we can plug in the number of days in a year for [tex]x[/tex] to find how much money we get.
[tex]2^{365}=7.52*10^{109}[/tex]
Which is basically 752 with 107 zeros following it.
Then we can divide this number by 100 to find the number of dollars it is.
We get 752 with 105 zeros following it.
Now we can find the arithmetic equation for the dollars.
We can see that 10 dollars is being added every time.
Use the formula.
[tex]a_n=a_1+m(n-1)[/tex]
We can plug in.
[tex]a_n=10+10(n-1)[/tex]
Now we can substitute 52 for [tex]x[/tex] in the equation.
[tex]a_{52}=10+10(52-1)[/tex]
[tex]a_{52}=10+510 \\ \\a_{52}=520[/tex]
So you'll be getting 520 dollars at the end of the year, which is far less than the amount of money you get from the pennies.
find the volume of the given pyramid
Answer: 147
V= lwh/3 = 7*9*7/3 = 147
let me know if im wrong.
Which is the definition of a line segment
Answer:
a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints
Step-by-step explanation:
Answer:
a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints
Sharon purchased a sprinkler system for $1,950 using a six-month deferred payment plan. The interest rate after the introductory period is 23.99%. No down payment is required, but there is a minimum monthly payment of $25. What is the balance at the beginning of the seventh month if only the minimum payment is made each month during the introductory period?(4 points) $1,950.00 $2,045.91 $1,800.00 $2,195.91
Answer:
$1800
Step-by-step explanation:
If we pay $25 monthly, then at the beginning of the seventh month you should have paid:
$25*6 = $150
At the beginning of the seventh month we will have:
$1950 - $150 = $1800.
No interested is charged during the introductory period, so at the beginning of the seventh month the balance will be $1800.
Answer:
it is $2,045.91
Step-by-step explanation:
A 16 oz. package of brown rice costs 79 cents and 32 oz. package of white rice costs $3.49. Which package is a better deal?
Answer:the brow
Step-by-step explanation: you can just make the brown rice weigh as much as the white, 32 or 16.(16x2 is 32 and 32/2 is 16). 79 plus 79 is 1.68. Making the 32 oz of brown 1.68. Showing that the brown is cheaper.
Answer:
A 16 oz. package of brown rice for 79 cents is better deal.
Step-by-step explanation:
79 cents/16 oz≈4.94 cents / oz - 1st package
349 cents/32 oz≈10.91 cents/oz - 2 nd package
For the second package price per oz is more. So 1st package is better deal.
joey can paint a room in 2 hours and chelsea can paint the same room in 3 hours. if they work together how long would it take to paint the room
Answer:
[tex]1.2\ hours[/tex]
Step-by-step explanation:
we know that
Joey can paint a room in 2 hours
That means
Joey can paint the 100% of the room-------> 2 hours
so
In 1 hour ------> can paint 100%/2=50%
Chelsea can paint a room in 3 hours
That means
Chelsea can paint the 100% of the room-------> 3 hours
so
In 1 hour ------> can paint (100%/3)=33.33%
therefore
Joey and Chelsea in 1 hour can paint -----> 50%+33.33%=83.33%
by proportion
[tex]\frac{1}{83.33}\frac{hour}{\%} =\frac{x}{100}\frac{hour}{\%}\\ \\x=100/83.33\\ \\ x=1.2\ hours[/tex]
Write an inequality comparing the rational numbers -3/4 and -2.
Using complete sentences, explain what your inequality means about the position of the two numbers on the number line.
Answer:
Step-by-step explanation:
-2 < -3/4. Another way in which to do this would be to use the LCD:
-8/4 < -3/4.
Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4. On the number line, -8/4 (or -2) is to the left of -3/4.
Answer:
-2 < -3/4. Another way in which to do this would be to use the LCD:
-8/4 < -3/4.
Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4. On the number line, -8/4 (or -2) is to the left of -3/4.
Step-by-step explanation:
Hope this helps darlin
Help me find the lateral and the surface area I have to round to the nearest tenths if necessary
Answer:
L.A. = 188.4 m²S.A. = 266.9 m²Step-by-step explanation:
The formula of a lateral area of a cone:
[tex]L.A.=\pi rs[/tex]
r - radius
s - slant height
We have r = 5m and s = 12m. Substitute:
[tex]L.A.=\pi(5)(12)=60\pi\ m^2\\\\\pi\approx3.14\to L.A.\approx(60)(3.14)=188.4\ m^2[/tex]
The formula of a surface area of a cone:
[tex]S.A.=\pi r(r+s)[/tex]
Substitute:
[tex]S.A.=\pi(5)(5+12)=\pi(5)(17)=85\pi\ m^2\approx(85)(3.14)=266.9\ m^2[/tex]
Translate the sum of 6 and the product of 8 and x into a mathematical expression
8 * x + 6
or
6 + ( 8 * x)
Answer:
[tex]6 + 8 \times x[/tex]
Step-by-step explanation:
Given the statement:
Translate the sum of 6 and the product of 8 and x
"Product of 8 and x" translated to: [tex]8 \times x[/tex]
"Sum of 6 and the product of 8 and x" translated to :
[tex]6 + 8 \times x[/tex]
Therefore, the given statement into a mathematical expression is:
[tex]6 + 8 \times x[/tex]
A right triangle has an area of 120 square units, and a leg length of 24 units. What is the perimeter of the triangle, in units?
Answer:
60 square units.
Step-by-step explanation:
First, work out what the length of of the other leg is
[tex]120 \times 2 = 240 \: 240 \div \: 24 = 10[/tex]
Next, to work out the hypotenuse you add the squares of the legs.
[tex] {24}^{2} + 10 ^{2} = 676[/tex]
Then square root the answer from the previous calculation.
[tex] \sqrt{676} = 26[/tex]
And finally add the sides together.
26+24+10= 60 square units
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. Then the perimeter of the triangle is 60 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
A right triangle has an area of 120 square units and a leg length of 24 units.
Then the other length of the triangle will be
Area = 1/2 (b x h)
120 = 1/2 (24 h)
240 = 24h
h = 10
Then the third length of the triangle will be given by the Pythagoras theorem.
H² = b² + h²
H² = 24² + 10²
H² = 576 + 100
H² = 676
H = 26
Then the perimeter of the right-angle triangle will be
Perimeter = 10 + 24 + 26
Perimeter = 60 units
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
Please please help me
Answer:
11 hours.
Step-by-step explanation:
One worker worked 6 hours, the other worked 5. 5+6 = 11
1.
When 3x2 - 2x + 7 is subtracted from 57-4x+10, AWO is the difference?
Combine like terms:
3 x 2 - 2x + 7 - 57 - 4x + 10
-34 - 6x
b(1) = -2
b(n) = b(n-1)-7
Find the 3rd term in the sequence.
Answer:
b(3) = -16
Step-by-step explanation:
b(1) = -2
b(n) = b(n-1) - 7
so
b(2) = b(1) - 7 = -2 - 7 = -9
b(3) = b(2) - 7 = -9 - 7 = -16
Students in grade6, 7 and 8 sold a total of 320 concert tickets.
Grade 6 students sold x tickets grade 7 students sold s tickets and grade 8 students sold t tickets use the equation x + s + t = 320 to find x the number of tickets that were sold by grade 6 students
Answer:
x=320+t-s
Step-by-step explanation:
What is 3(x+7) in expanded form?
Your answer will be 3x+21
Answer:
3x+21
Step-by-step explanation:
using the distributive property, you multiply 3 times x and 7 times 3, then add them together
Linda is making a line plot of the data below. 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 What are the least and greatest values in the data set?
Least: 10.5
Greatest: 14.125
Hope that helps!
The least and greatest values in the data set will be 10.5, 11.25, 11.25, 11.25, 12, 12.5, and 14.125.
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The data is given below.
11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12
Arrange the order into ascending order. Then we have
10.5, 11.25, 11.25, 11.25, 12, 12.5, 14.125
The least and greatest values in the data set will be 10.5, 11.25, 11.25, 11.25, 12, 12.5, and 14.125.
More about the ascending order link is given below.
https://brainly.com/question/320500
#SPJ3
What is the solution to
5x + 6 ≥ -34 AND -2x - 2 > -10
PLZ HELP FAST ILL GIVE BRAINLEST
Answer:
-8 ≤ x < 4Step-by-step explanation:
5x + 6 ≥ -34 subtract 6 from both sides
5x + 6 - 6 ≥ -34 - 6
5x ≥ -40 divide both sides by 5
x ≥ -8
and
-2x - 2 > -10 add 2 to both sides
-2x - 2 + 2 > - 10 + 2
-2x > -8 change the signs
2x < 8 divide both sides by 2
x < 4
We have x ≥ -8 and x < 4 ⇒ -8 ≤ x < 4
please help and explain
Answer:
16%
Step-by-step explanation:
What you need to do is add both 48 and 240 together. That gives you a total of 288 flowers. Now you need to divide 48 by 288 because that will give you your percentage. In this case, it's 16%.
Answer:
Here.
Step-by-step explanation:
You add the number of flowers together to get the total number- 48 + 240 is 288.
48 should be 16.66%, as 288 divided by 6 is 48.
(I am not entirely sure about this answer.)
what is the number of grams in 500 kilograms
Answer:
500,000 grams
Step-by-step explanation:
1 kg = 1,000 g
500*1,000=500,000
Please help **** gets brainliest
Answer: I think B is the correct answer, I am not 100% postive though. I am about 98%.
Step-by-step explanation:
For this case we have that, by definition of properties of powers and roots, it is fulfilled that:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
Now, from option B we have:
[tex](\sqrt [m] {x ^ a}) ^ b = (x ^ {\frac {a} {m}) ^ b[/tex]
By definition of power properties we have:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
So:
[tex](x ^ {\frac {a} {m}) ^ b =[/tex]
[tex]x ^ {\frac {ab} {m}} =[/tex]
[tex]\sqrt [m] {x ^ {ab}}[/tex]
Thus, it is observed that equality was demonstrated.
THE correct option is B.
ANswer:
Option B
1.2,3,7.5,18.75, which formula can be used to describe the sequence
Answer:
[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]
Step-by-step explanation:
If we observe the given sequence, we find that the ratio of two consecutive terms is the same. i.e.
[tex]\frac{3}{1.2}=2.5\\\\\frac{7.5}{3}=2.5\\\\ \frac{18.75}{7.5}=2.5[/tex]
Such a sequence in which the ratio of consecutive terms remain the same is know as Geometric Sequence. Following formula is used to represent a Geometric Sequence:
[tex]a_{n}=a_{1}\times(r)^{n-1}[/tex]
Here:
[tex]a_{n}[/tex] is the general term. Using the value of n =1,2,3 ... will give us the term of the sequence.
[tex]a_{1}[/tex] is the first term which is 1.2 in this case.
r represents the common ratio which is 2.5.
Using these values we get:
[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]
This formula can be used to represent the given sequence.
Volume of a polygon
Answer: The formula for the volume of a polygon is 1/2 x perimeter x apothem
11. The scale for a drawing of the tennis court is
1 centimeter = 2 meters. What is the area of
the actual tennis court?
Width
5.5 cm
- Length 10 cm
show steps
Answer:
I believe the correct answer would be 220 meters.
Step-by-step explanation:
If one centimeter equals 2 meters, then you would have to multiply the width (5.5 cm.) by 2 and the length (10 cm.) by 2. After you multiply those, you get 11 meters for the width and 20 meters for the length. You then multiply those by each other, so 11x20, and you get 220.
The actual length and width will be 20 meters and 11 meters. Then the area of the rectangle will be 220 square meters.
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L×W units
The scale for a drawing of the tennis court is 1 centimeter = 2 meters. Then the area of the actual tennis court will be
Width = 5.5 cm
Length = 10 cm
Then the actual length and width will be
L = 10 x 2 = 20 meters
W = 5.5 x 2 = 11 meters
Then the area of the rectangle will be
A = 20 x 11
A = 220 square meters
More about the area of the rectangle link is given below.
https://brainly.com/question/20693059
#SPJ2
Sam spent $16 on a large pizza and two drinks. If the pizza was 75% of the cost, how much did each drink cost?
Each drink costs $2.
TWENTY FIVE POINTS!!!! In Sparrowtown's wig shop, 1/2 of the wigs are blonde and 3/10 of the wigs are brunette. What fraction of the wigs are either blonde or brunette?
Answer:
8/10
Half of 10 is 5 so 5/10 are blonde + 3/10 are brunette so you get 8/10 but in its simplest form would be 4/5
Answer:
8/10
Step-by-step explanation:
we know it is 8/10 because half of ten is five and 5/10 are blonde, then we add 3/10 which are brunette so we therefore get 8/10 or 4/5 if we simplify it to its simplest form!
×║hope this helps you║×
A number plus twice its reciprocal is negative nineteen-thirds
Answer:
The number could be [tex]x=-6[/tex] or [tex]x=-1/3[/tex]
Step-by-step explanation:
Let
x-----> the number
Remember that
The reciprocal of a number is 1 divided by the number
we know that
[tex]x+2(\frac{1}{x})=-\frac{19}{3}[/tex]
Solve for x
Multiply by 3x both sides
[tex]3x^{2} +6=-19x\\ \\ 3x^{2}+19x+6=0[/tex]
Solve the quadratic equation by graphing
The solutions are [tex]x=-6, x=-1/3[/tex]
see the attached figure
Verify both solutions
For [tex]x=-6[/tex]
[tex]-6+2(-\frac{1}{6})=-\frac{19}{3}[/tex]
[tex]-\frac{19}{3}=-\frac{19}{3}[/tex] ----> is true
For [tex]x=-1/3[/tex]
[tex]-(1/3)+2(\frac{1}{(-1/3)})=-\frac{19}{3}[/tex]
[tex]-\frac{19}{3}=-\frac{19}{3}[/tex] ----> is true