How much time will be needed for 35,000 to grow to 44,622.09 if deposited at 7% compounded quarterly

It will take 14 quarters (3.5 years) to reach $44,622.09 from $35,000 at an interest rate of 7% compounded quarterly.

Explanation:

Giving the following information:

PV= 35,000

FV= 44,622.09

i= 0.07/4= 0.0175

We need to calculate the number of quarters required to reach the objective. We will use the following formula:

n= ln(FV/PV) / ln(1+i)

n= ln(44,622.09/35,000) / ln(1.0175)

n= 14

It will take 14 quarters (3.5 years) to reach $44,622.09 from $35,000 at an interest rate of 7% compounded quarterly.

start by isolating the variable on one side by adding 43w^2 to both sides.   the equation will read:

25w^2+5=0

*subtract 5 from both sides*

25w^2=-5

*divide both sides by 25*

w^2=-1/5

*take the square root of both sides*

w=√(-1/5)

the square root of -1 is i.   the square root of 5 remains √5

the answer is i/√5.

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