3m + n =7
m + 2n = 9​

Colin will have £1344 in his bank account after 4 years. This is calculated using the simple interest formula I = PRT (Interest = Principal x Rate x Time) yielding an interest earned of £144 over four years, which was then added to the initial investment.

First, understand that simple interest is calculated as (principal amount × interest rate × time in years). The principal amount here is £1200, the interest rate is 3%, and the time period is 4 years.

Before doing the calculation, convert the 3% interest rate into decimal form by dividing by 100, yielding 0.03.

War is represented by the formula I = PRT, which means Interest = Principal x Rate x Time. So, use these values in the formula: £1200 * 0.03 * 4. This gives you £144, which is the interest earned after 4 years.

To find the total amount in Colin's account after 4 years, you need to add the interest earned to the principal amount. Therefore, £1200 (original amount) + £144 (interest) = £1344.

So, after 4 years, Colin will have £1344 in his bank account.

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Answer:

Option D. 5

Step-by-step explanation:

we know that

The initial value of the function is the y-intercept, so is the value of the function when the value of x is equal to zero

In this problem observing the table

For x=0

The value of y is equal to y=5

therefore

The initial value is 5

Answer:

It is 5!

Step-by-step explanation:

I just did the test and got it correct.

Answer:

We could say 10

Step-by-step explanation:

1) Remove unneeded info

2) Divide the length by the distance between posts

68/7

3) Will give you a decimal but ro7nd up to 10

____________________________________________________

Answer:

Your answer would be 0.343.

____________________________________________________

Step-by-step explanation:

In the probability questions like this one, in order to get the answer,we would use the multiplication rule.

In your questions, we are trying to find the probability of ALL of your friends going to the mall with you.

Lets make it easier for you.

Whenever in probability you can say and, you multiply.

This means that you would try to find if friend 1 and friend 2 and friend 3 will say yes.

That's the same as saying friend 1's probability × friend 2's  probability × friend 3's  probability

We know that each friend has a 0.70 chance of saying yes.

Using the multiplication rule, we would just multiply 0.7 three times.

[tex]0.7 *0.7*0.7=0.343[/tex]

When you multiply, you should get 0.343.

There is a 0.343 chance of ALL your friends saying yes to go to the mall with you.

0.343 would be your FINAL answer.

____________________________________________________

To solve this problem, you need to consider the probability of each friend agreeing to go to the mall individually, then multiply these probabilities together to find the probability that all three will say yes.
Since each friend has a 0.70 chance of saying yes, we can calculate the combined probability as follows:
For the first friend, the probability is 0.70.
For the second friend, the probability is also 0.70.
For the third friend, the probability remains 0.70.
To find the combined probability that all three friends will say yes, we multiply the individual probabilities together:
\( Probability (All Say Yes) = Probability (Friend1 says Yes) \times Probability (Friend2 says Yes) \times Probability (Friend3 says Yes) \)
\( Probability (All Say Yes) = 0.70 \times 0.70 \times 0.70 \)
When you calculate this, you get:
\( Probability (All Say Yes) = 0.343 \)
So the answer is c. 0.343.

Answer:

1 5/8 * 1/4 = d

Step-by-step explanation:

Answer:

26.9

Step-by-step explanation:

Right now we have '8' in the tenths place.  That '6' following the '8' requires us to round up.  Thus, 26.86 to the nearest tenth is 26.9.

Answer:

Total = Principal * (1 + 6%/2)^2*years

Total = 11,000 * (1.03)^2*10

Total = 11,000 * (1.03)^20

Total = 11,000 * 1.8061112347

Total = 19,867.22

Step-by-step explanation:

Answer: D. 2.8 - 0.6t

Step-by-step explanation:

The t represents how much time it takes. So, it goes down by 0.6 per second until it gets to 0.

A garage door's bottom is 2.8 meters above the ground. The door descends at a pace of 0.6 meters per second when a button is pressed. The equation for the above situation is 2.8 + 0.6t = 0. Option C is correct.

Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation.

It is given that, the bottom of a garage door is 2.8 meters above the ground. When a button is pushed, the door moves down at a rate of 0.6 meters per second.

The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation. The right side of an equation is typically assumed to be zero.

Suppose t represents the number of seconds, The equation for the given condition is,

2.8 + 0.6t = 0.

Thus, a garage door's bottom is 2.8 meters above the ground. The door descends at a pace of 0.6 meters per second when a button is pressed. The equation for the above situation is 2.8 + 0.6t = 0. Option C is correct.

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Answer:

1008

Step-by-step explanation:

To find the total outfits that can be created, we multiply the different number of stuff together. So the answer is 7*6*6*4 =  1008 outfits.

Answer:

I think it would be 1008.

Step-by-step explanation:

Hope this helps!!

Answer: 627-273

Step-by-step explanation:

Answer:

[tex]\large\boxed{(x^2-3x)(4x^2+2x-9)=4x^4-10x^3-15x^2+27x}[/tex]

Step-by-step explanation:

[tex](x^2-3x)(4x^2+2x-9)\qquad\text{use}\ (a+b)(c+d+e)=ac+ad+ae+bc+bd+be\\\\=(x^2)(4x^2)+(x^2)(2x)+(x^2)(-9)+(-3x)(4x^2)+(-3x)(2x)+(-3x)(-9)\\\\=4x^4+2x^3-9x^2-12x^3-6x^2+27x\qquad\text{combine like terms}\\\\=4x^4+(2x^3-12x^3)+(-9x^2-6x^2)+27x\\\\=4x^4-10x^3-15x^2+27x[/tex]

x -5 > -2

Add 5 to both sides:

x > 3

The answer is the 3rd choice.

Answer:

x>3

Step-by-step explanation:

just add 5 to both sides :p

all you have to do is 524 times 2 and then add m3

there is a formula for the volume of a cylinder. use the given info to plug into formula

Answer:5/12

Step-by-step explanation:2/3-1/4=5/12

For this case we must raise a rule three:

1 recipe ----------------------->[tex]\frac {2} {3}[/tex] butter

[tex]\frac {1} {4}[/tex]recipe -------> x

Where the variable "x" represents the amount of butter that requires a quarter of the cookie recipe.

[tex]x = \frac {\frac {1} {4} * \frac {2} {3}} {1}\\x = \frac {2} {12} = \frac {1} {6}[/tex]

So, Anna requires[tex]\frac {1} {6}[/tex] cup of butter

ANswer:

[tex]\frac {1} {6}[/tex]

Answer: 6/15-5/15=1/5

Answer:

Step-by-step explanation:

To find the common denominator, you must multiply 5 times three to get fifteen. Then you must multiply two times three and then one times three. Your two fractions with the same denominator would be 6/15 minus 5/15 your answer would be 1/15

Answer:

m = - 1/6

Step-by-step explanation:

Since 2/3 is larger than 1/2, m is going to be less than 0 because you have to subtract 2/3 to get to the right. That makes a and b incorrect. I can tell you that the answer doesn't appear to be there.

m + 2/3 = 1/2    Subtract 2/3

m = 1/2 - 2/3     The common denominator is 6

m = 3/6 - 4/6     Do the subtraction

m = - 1/6  

You might want to check out the - 1/8.  

The Answer: m = - 1/6

Slope-Intercept Form: y=mx+b

Standard Form: ax+by=c

Point- Slope: (y-y1)= m(x-x1)

There are multiple answers to your question-

Answer:

Hence final answer is x=46

Step-by-step explanation:

We need to find the value of x using given triangle.

Given that ED is angle bisector of angle E.

Then we can apply this formula

[tex]\frac{EG}{EH}=\frac{DG}{DH}[/tex]

[tex]\frac{63.8}{55}=\frac{58}{x+4}[/tex]

[tex]\frac{63.8}{55}=\frac{58}{x+4}[/tex]

Cross multiply

63.8(x+4)=55(58)

63.8(x+4)=3190[tex]x+4=\frac{3190}{63.8}[/tex]

x+4=50

x=50-4

x=46

Hence final answer is x=46

Answer:

The proportion is [tex]\frac{y}{x} =\frac{1}{25}[/tex]

Step-by-step explanation:

We have to:

In June 20 of 500 wagons failed

On July 25 of 625 wagons failed

If we call x the number of wagons and and the number of wagons that had failures then we have to for June:

[tex]\frac{y}{x} = \frac{20}{500}\\\\\frac{y}{x} = \frac{1}{25}[/tex]

For July we have

[tex]\frac{y}{x} = \frac{25}{625}\\\\\frac{y}{x} = \frac{1}{25}[/tex]

The proportions are the same for both months

[tex]\frac{20}{500} = \frac{25}{625}[/tex]

The proportion is [tex]\frac{y}{x} =\frac{1}{25}[/tex]

This means that of every 25 wagons, one has faults

Answer:

its D

Step-by-step explanation:

hope it helps!

took a test!

Answer:

3x+4=22

Step-by-step explanation

So, if you minus 4 from 22 and divided by 3, there will be the answer for x. Which is 6.

The equation that could be formed using the letter x to be represent the unknown number is 3x + 4 = 22

let

x = the unknown number

multiply it by three

= x × 3

= 3x

add four

3x + 4

I get twenty two

3x + 4 = 22

solve for x

3x = 22 - 4

3x = 18

x = 18/3

x = 6

Therefore, the unknown number in the equation 3x + 4 = 22 is 6

check:

3x + 4 = 22

3(6) + 4 = 22

18 + 4 = 22

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y = 2x - 5

Here’s a photo of the math

The equation will be y = 2x - 5

Given Equation: 4x - 2y = 10

Step 1: Move 4x to the other side to isolate -2y: -2y = -4x + 10

Step 2: Divide by -2 to solve for y: y = 2x - 5

Answer:

A

Step-by-step explanation:

To determine the scale factor compare the quotient of the coordinates of the image with the original coordinates

A

[tex]\frac{2}{1}[/tex] = [tex]\frac{4}{2}[/tex] = 2

B

[tex]\frac{4}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

C

[tex]\frac{8}{4}[/tex] = [tex]\frac{16}{8}[/tex] = 2

Hence the scale factor is 2

Answer:

diameter

Step-by-step explanation:

A chord is a line segment connecting any 2 points on the circumference of the circle.

The diameter connects 2 points and also passes through the centre of the circle, making it the longest chord.

We want to find a fraction that is between

[tex]\frac{1}{4}\:and\:\frac{1}{2}[/tex]

There are several ways to go about this.

There are also infinitely many fractions that can be found between the given fractions.

Let us go for the one in the middle of the two fractions.

So we add the two fractions and divide by 2.

a) [tex]\frac{\frac{1}{4} +\frac{1}{2} }{2}[/tex]

Find LCM for the numerator

[tex]\frac{\frac{1+2}{4}}{2}[/tex]

Simplify:

[tex]\frac{\frac{3}{4}}{2}[/tex]

[tex]\frac{\frac{3}{2}}{2}[/tex]

[tex]\frac{3}{8}}[/tex]

b) [tex]\frac{\frac{1}{3} +\frac{3}{4} }{2}=\frac{13}{24}[/tex]

c)[tex]\frac{\frac{1}{2} +\frac{3}{4} }{2}=\frac{5}{8}[/tex]

d)[tex]\frac{\frac{3}{5} +\frac{7}{8} }{2}=\frac{59}{80}[/tex]

Answer:

48

Step-by-step explanation:

Assuming that the numbers went in a pattern instead of a random order it would be 48 because 48 divided by 3 would be 24. 24 would be the first number though, so it would be 48 because 24 plus 24 is 48.

Hope this helps, have a great day!

Thhe answer is 48 :]

12√18-6√20-3√50-8√45

*Break each radical up into the product of a radical of a perfect square and a second radical*

12(√9*√2)-6(√4*√5)-3(√25*√2)-8(√9*√5)

*Simplify the radicals*

12(3√2)-6(2√5)-3(5√2)-8(3√5)

*Distribute*

36√2-12√5-15√2-24√5

*Combine like terms*

21√2-36√5

Hope this helps!!

The simplified form of the expression is 21√2-36√5.

Given,

12√18-6√20-3√50-8√45

Here,

12√18-6√20-3√50-8√45

⇒ Break each radical up into the product of a radical of a perfect square and a second radical.

Rewriting the expression,

12(√9*√2)-6(√4*√5)-3(√25*√2)-8(√9*√5)

⇒ Simplify the radicals

12(3√2)-6(2√5)-3(5√2)-8(3√5)

⇒ Distributive property

36√2-12√5-15√2-24√5

⇒ Combine like terms

21√2-36√5

Thus the simplified expression is 21√2-36√5.

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Less than 95%

Why because if you change .9 into a percentage, it turns into 90%

I hope that was correct

[tex]\text{Hey there!}[/tex]

[tex]\text{Is .9 greater or less than 95\%?}[/tex]

[tex]\bf{.9\rightarrow0.9\rightarrow\frac{18}{20}}[/tex]

[tex]\bf{95\%\rightarrow0.95\rightarrow\frac{19}{20}}[/tex]

[tex]\bf{You\ could\ reask\ yourself\ is\frac{18}{20}\ greater\ or\ less\ than\frac{19}{20}}?[/tex]

[tex]\text{Note: Solve the fractions/ decimals/ percentages to where you can}[/tex] [tex]\text{understand it better}[/tex]

[tex]\text{After that you'd find your result to your question}[/tex]

[tex]\boxed{\boxed{\text{Thus your answer will be: .9 is LESS THAN 95\%}}}[/tex] [tex]\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Equation 1: -x-y = 1y, -x = 2y

Equation 2: 1y = x+3 , y = x+3

Substitute equation 2 into equation 1

-x = 2y

-x = 2(x+3)

-x = 2x + 6

-3x = 6

x = -2

Substitute x=-2 into equation 2

y = x+3

y = -2+3

y = 1

So, (x,y) = (-2,1)

Answer:

V = (1/3)(π)(6 in)²(10 in) = 120π in³

Step-by-step explanation:

The volume of a cone of radius r and height h is V = (1/3)πr²h.

Here, that volume is V = (1/3)(π)(6 in)²(10 in) = 120π in³

Answer:

120pi

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:  f(x)=5x^3-51x^2+77x+100/x^2-11x+24

Please use parentheses to eliminate any ambiguity:

      f(x) = (5x^3-51x^2+77x+100) / (x^2 - 11x + 24)

or (better yet):

                  5x^3-51x^2+77x+100

        f(x) = ---------------------------------

                      x^2 - 11x + 24

The vertical asymptotes here are at the zeros of the denominator:

x^2 - 11x + 24 = 0,  This quadratic equation has coefficients a = 1, b = -11 and c = 24.  Thus, its roots (zeros) are:

       -(-11) ± √( 121 - 4(1)(24) )

x = -------------------------------------

                    2(1)

or:

        11 ± √( 25 )

x = --------------------

                 2

or:  x = 8 and x = 3

The vertical asymptotes are x = 8 and x = 3.

If we attempt to divide x^2 - 11x + 24 into 5x^3 - 51x^2 + 77x + 100, we see that the first term of the quotient is 5x.  As x increases or decreases without bound, 5x goes to either ∞ or -∞, so we conclude that there is no horiz. asymptote.  Continuing this division results in:

5x + 4 + a fraction

This represents the slant asymptote, y = 5x + 4

Answer:

5x+4

Step-by-step explanation:

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