Answer:
The answer is 16 years.
Explanation:
The formula for calculating the value of an investment that is compounded annually is given by:

Where:
is the number of years the investment is compounded,
is the annual interest rate,
is the principal investment.
We know the following:

And we want to clear the value <em>n</em> from the equation.
The problem can be resolved as follows.
<u>First step:</u> divide each member of the equation by
:


<u>Second step:</u> apply logarithms to both members of the equation:

<u>Third step:</u> apply the logarithmic property
in the second member of the equation:

Fourth step: divide both members of the equation by 


We can round up the number and conclude that it will take 16 years for $10,000 invested today in bonds that pay 6% interest compounded annually, to grow to $25,000.
Answer:
$1,720
Explanation:
Total annual premium for both Karen and Mike = $400 + $600 = $1,000
If they insured both cars with the same company, they would save 15% on the annual premiums -> the annual saving = 15% * $1,000 = $150
We use formula FV to calculate the future value of annual payment:
= FV(rate, number of payment, - payment) = FV(3%,10,-150) = $1,720
Answer:
$240,885.11
Explanation:
The formula to be used is = annual payment x annuity factor
Annuity factor = {[(1+r) ^N ] - 1} / r
R = interest rate = 8.2 percent
N = number of years = 25
[(1.082^25) - 1 ] / 0.082 = 75.276598
75.276598 x $3,200 = $240,885.11
I hope my answer helps you