A principal of $2900is invested at 3.25% interest, compounded annually. How much will the investment be worth after 9years? Use the calculator provided and round your answer to the nearest dollar.

Given:

Principal = $2900

Rate of interest = 3.25% compounded annually.

Time = 9 years.

To find:

The amount of investment after 9 years.

Solution:

The formula for amount is:

Where, P is principal, r is rate of interest, n number of times interest compounded in an year and t is the number of years.

Substitute P=2900, r=0.0325, n=1 and t=9.

Using calculator, we get

Therefore, the worth of the investment after 9 years will be $3867.

its a trick question

step-by-step explanation:

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(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week