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mixas84 [53]
3 years ago
10

a tree 7 ft. tall grows an average of 6in. each year. Which equation models the tree's height h after x years?

Mathematics
1 answer:
vazorg [7]3 years ago
6 0
The rate of change or slope is 6 inches or half a foot per year. The initial value, or y intercept is 7 ft. Plug this into mx+b form to get y=.5x+7
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A soup can in the shape of a cylinder is 4 inches tall and has a radius of 2 inches
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Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years af
Leno4ka [110]

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate<em> r </em>of in the time period of <em>t.</em>

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29

In the 10 years, the refund she gets,

A_r=63.29\times12\times100\\A_r=7594.8

Interest paid by her is,

I=7594.8-5500\\I=2094.8

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

brainly.com/question/24274034

3 0
3 years ago
If the perimeter of a square is 68 feet, find the approximate length of its diagonal.A. 17 feet B. 24 feet C. 38 feet D.
Elanso [62]

Find the side length:

Side = 68/4 = 17

Now use Pythagorean theorem:

Diagonal = sqrt(17^2 + 17^2)

Diagonal = sqrt(289 + 289)

Diagonal = sqrt(578)

Diagonal = 24 feet

The answer is B. 24 feet

8 0
3 years ago
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