cjdolce9790

22.04.2020 •

Mathematics

Which parent function is F(x) = x2?
Absolute value
Linear parent
Quadratic parent
Exponential parent
Witch one my nigs

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Ответ:

shermoisllo3

09.08.2022

Mathematics

Option A - $3,552.72

Step-by-step explanation:

Given :The first is an IRA where monthly payments are made, in the amount of $416.66, for 30 years.

The second is a Roth IRA where annual payments are made, in the amount of $5000, for 30 years.

If both compound interest at a rate of 2.5%

To find : which account will yield the largest future value for Ethan, and how much greater that value will be than that of the other account.

Solution :

We find the future value of both.

Formula of annuity,

$F.V=P[\frac{{1+r}^n-1}{r}]$

1) The first is an IRA where monthly payments are made, in the amount of $416.66, for 30 years and compound interest rate is 2.5%.

Monthly payment are made.

So, P=$416.66

Rate r= $\frac{2.5}{12\times100}=0.0020$

Time t= 30 years

$n=30\times 12=360$

Substitute the value in the formula,

$F.V=416.66[\frac{{1+0.0020}^{360}-1}{0.0020}]$

$F.V=416.66[\frac{{1.0020}^{360}-1}{0.0020}]$

$F.V=416.66[\frac{2.05295-1}{0.0020}]$

$F.V=416.66[\frac{1.0529}{0.0020}]$

$F.V=416.66\times526.45$

F.V=223066.24

Future value of first is $223066.24

2) The second is a Roth IRA where annual payments are made, in the amount of $5000, for 30 years.compound interest rate is 2.5%.

Annual payment are made.

So, P=$5000

Rate r= $\frac{2.5}{100}=0.025$

Time n= 30 years

Substitute the value in the formula,

$F.V=5000[\frac{{1+0.025}^{30}-1}{0.025}]$

$F.V=5000[\frac{{1.025}^{30}-1}{0.025}]$

$F.V=5000[\frac{2.0975-1}{0.025}]$

$F.V=5000[\frac{1.09756}{0.025}]$

$F.V=5000\times43.9027$

F.V= 219513.515

Future value of second is $219513.515

The largest future value is in the first IRA i.e, $223066.240

And how much the greater value is

IRA by 223066.240-219513.515=3552.72

IRA by $3552.72

Therefore, Option A is correct.

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Which parent function is F(x) = x2? Absolute value Linear parent Quadratic parent Exponential parent Witch one my nigs