Miranda wants to give her 14-year-old daughter $20,000 when she turns 18. how much does she need to put in the bank now if the interest rate is 10 percent
per year?
future value=px(1+0)
present value = a to
a $12,418.43
b. $13,660.27
c. $15,026.30

The future principal amount invested is $13,660.27 .

Step-by-step explanation:

Given as :

The Amount that saved for future = A = $20,000

The bank applied rate of interest = r = 10%

The time period of loan = t years

Now As Miranda's daughter is 14 year now, and she will give money when her daughter turns 18

∴ The time period of loan = t = 4 years

Let the future principal amount invested = $p

Now, From Compound Interest method  

Amount = principal ×

Or, A = p ×

Or, $20,000 = p ×

Or, $20,000 = p ×

Or, $20,000 = p × 1.4641

∴ p =

i.e p = $13,660.269

So, The future principal amount invested = p = $13,660.27

Hence, The future principal amount invested is $13,660.27 . Answer

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.