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gulaghasi [49]
3 years ago
8

You want $1,000,000 when you retire in 40 years. You decided to save some money every year next 40 years for your retirement. Yo

u are going to open Roth IRA and invest everything in Vanguard S&P 500 Funds that expect to earn 6 percent annually. If your contribution starts a year from today, how much must you contribute every year next 40 years? Round to the nearest cent. Do not include any unit (If your answer is $111.11, then type 111.11 without $ sign.)
You are starting your new career today after graduating. You decided to contribute $500 a month into a fund that is expected to earn 6 percent, compounded monthly. If you start the contribution a month from today for 30 years, how much will you have right after you contribute the last $500 in 30 years? Round to the nearest cent. Do not include any unit (If your answer is $111.11, then type 111.11 without $ sign.)
Business
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer:

Instructions are listed below.

Explanation:

Giving the following information:

A) You want $1,000,000 when you retire in 40 years. It earns 6 percent annually.

We need to use the following version of the final value formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

FV= 1,000,000

n=40

i=0.06

A= (1,000,000*0.06) / [(1.06^40)-1]

A= $6,461.53

B) You decided to contribute $500 a month into a fund that is expected to earn 6 percent, compounded monthly. If you start the contribution a month from today for 30 years.

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

n= 30*12= 360

i= 0.06/12= 0.005

A= 500

FV= {500*[(1.005^360)-1]}/0.005= $502,257.52

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Last year Rocco Corporation's sales were $225 million. If sales grow at 6% per year, how large (in millions) will they be 5 year
cupoosta [38]

Answer:

b. $301.10

Explanation:

Current Sales = P = $225,000,000

Growth rate = g = 6%

Number of year = 5 years

Using simple growth formula we will find the Sales value after 5 years.

Future Sales = Current Sale ( 1 + growth rate )^Number of years

A = P ( 1 + g )^n

A = 225,000,000 x ( 1 + 0.06 )^5

A = 225,000,000 x 1.33823

A = 301,101,750 = 301.10175 Million

So, the correct option is b. $301.10.

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4 years ago
Which of the following statements about Gen Xers is TRUE? A) Gen Xers are often willing to change brands. B) Gen Xers are select
DerKrebs [107]

Answer: d. Gen Xers prize self-sufficiency and are pragmatic.

Explanation:

Gen Xers prize self-sufficiency and are pragmatic. Gen Xers prices are self sufficient that they need no external aid and they are realistic.

5 0
3 years ago
A vendor raises the cost of materials you planned to order, and the increased cost will put your project over budget. Which shou
artcher [175]

Answer:

A. Review the budget to identify other areas where costs can be cut.

Explanation:

In the case when the vendor increased the material cost that planned and the increased cost would also be placed in your project i.e. over budgeted so the first thing you should do is review the budget by identifying the areas where the cost cutting to be done

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3 0
3 years ago
Believing that wealthy people deserve to be robbed because of their ill-gotten gains best illustrates a potential consequence of
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4 0
3 years ago
Charlie Stone wants to retire in 30 years, and he wants to have an annuity of $1,000 a year for 20 years after retirement. Charl
lara [203]

Answer:

Present value Due = $9,364.92

Explanation:

Given:

Number of payment (n) = 20

Periodic payment (PMT) = $1,000

Rate of interest (i) = 10% = 10/100 = 0.1

Present value of annuity = ?

Computation of Present value of annuity:

Present Value = PMT [\frac{1-(1+i)^{-n}}{i}] (1+i)\\

Present Value = 1,000 [\frac{1-(1+0.1)^{-20}}{0.1}] (1+0.1)\\\\Present Value = 1,000 [\frac{1-(1.1)^{-20}}{0.1}] (1.1)\\\\Present Value = 1,000 [\frac{1-0.148643628}{0.1}] (1.1)\\\\Present Value = 1,000 [\frac{0.851356372}{0.1}] (1.1)\\\\Present Value = 1,000 [\frac{0.851356372}{0.1}] (1.1)\\\\Present Value = 9,364.92

Present value Due = $9,364.92

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