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3 years ago

A rectangle has a long side of 8.5 cm length. Its perimeter is 24cm Work out the length of the shorter sides

Mathematics

1 answer:

alina1380 [7]3 years ago

4 0

Answer:

x=3.5

Step-by-step explanation:

Perimeter: 8.5+8.5+2x=24

Simplifying we get: 17+2x=24

Subtracting 17 we get: 2x=7

Dividing by 2 we get: x=3.5

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Beginning one month after birth of their son, Noah, the Nelsons deposited $100 each month in an annuity for his college fund. Th

gizmo_the_mogwai [7]

Answer:

$100 * (1 + 6.8%/12)^216 + $100*(1+6.8%/12)^215 + ... + $100*(1+6.8%/12)^1

Now note that

x + x^2 + x^3 + ... + x^N = x ( 1 + x + ... + x^(N-1) )

= x ( (x^N -1)/(x-1) )

Here, x = 1+6.8%1 = 1.00566666 and N = 216, so

$100 * ( 1.00566666 ( 1.00566666^216 -1) / 0.00566666 )

= $ 42398.33

The total interest earned is $42,398 - $21,600 = $20,798

Step-by-step explanation:

The generic formula used in this compound interest calculator is V = P(1+r/n)^(nt)

V = the future value of the investment

P = the principal investment amount

r = the annual interest rate

n = the number of times that interest is compounded per year

t = the number of years the money is invested for

8 0

4 years ago

Which expression is<br> equivalent to -3(4 - 6x)?<br><br><br> show steps please

Ket [755]

Answer:

-3(4 - 6x)

-12 +18x

=18x - 12

Step-by-step explanation:

You multiple the negative 3 with positive 4 to get negative 12.

An you also multiple the negative 3 with negative 6x (a negative multiple a negative changes into positive) giving you 18x as your answer

5 0

3 years ago

Comet cable charges $32.50 a month for basic cable television. Each premium channel selected costs an additional $4.50 per month

Alex_Xolod [135]

32.50+4.50x

You are going to pay $32.50 no matter what, that is what you pay for basic cable. $4.50 is what you pay for the extras, so depending on how many premium channels you want, you will pay $4.50 for every extra channel, which is why it is 4.50x because the x is how many premium channels you purchase that month.

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3 years ago

(-2,-1) (1,-1) find the distance between two points

Daniel [21]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1:}\\\\\text{Use the formula:}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{Substitute the coordinates of the give points:}\\\\d=\sqrt{(1-(-2))^2+(-1-(-1))^2}=\sqrt{(1+2)^2+(-1+1)^2}\\\\=\sqrt{3^2+0^2}=\sqrt9=3$

$\bold{METHOD\ 2:}\\\\\text{We can see that the second coordinates of the points (ordinate) are the same.}\\\text{Therefore, the distance between these points is equal to the distance}\\\text{ between the first coordinates (abscissa).}\\\\d=|1-(-2)|=|1+2|=|3|=3$