That means its downgraded to 1/20 of actual height, let actual height is x. Then
(1/20) * x = 8, x = 20 * 8 = 160, actual height = 160 inch
160 inch = 160/12 feet = 13 1/3 feet or 13.333 feet.

3 0

3 years ago

Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until

alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

Month 0 (first payment)

$250

Month 1

$250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})$

Month 2

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)$

Month 3

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)$

Month 24 (2 years)

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})$

The sum

$1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}$

is the sum of the first 24 terms of a geometric sequence with common ratio $\frac{12.04}{12}$ which is

$\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071$

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0

3 years ago

Help please asap i show step by step !

pychu [463]

Answer:

a = $4\sqrt{3}$

b= 4

Step-by-step explanation:

It's a 30-60-90 triangle based on the given picture. A right triangle too

Use sine, cosine, and tangent to solve for the side.

To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.

OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and $x\sqrt{3}$ for long leg

So either way, b = 4

To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.

OR you can use the same rule, 30-60-90 triangle to save time

a will end up = $4\sqrt{3}$

6 0

3 years ago

-5(x+10) please help me

mr_godi [17]

-50x :)
characters bc it has to be 20

6 0

2 years ago

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