For her 1st birthday, Ruth's grandparents invested $1000 in an 18-year certificate for her that pays 10% compounded annually. How much will the certificate be worth on Ruth's 19th birthday? (Round your answer to the nearest cent.)

On Ruth's 19th birthday the certificate will be worth $ 5,559.91.

Given that for her 1st birthday, Ruth's grandparents invested $ 1000 in an 18-year certificate for her that pays 10% compounded annually, to determine how much will the certificate be worth on Ruth's 19th birthday the following calculation must be performed:

Therefore, on Ruth's 19th birthday the certificate will be worth $ 5,559.91.

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The certificate will be worth $5,559.92 on Ruth's 19th birthday.

Step-by-step explanation:

The compound interest formula is given by:

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

So

The certificate will be worth $5,559.92 on Ruth's 19th birthday.

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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