Question

**Show the work with formulas.**

- How many years will it take for $100,000 to grow to $500,000 if it is invested at an annual interest rate of 9.15%? Round to the nearest 0.01.

- You are told that if you invest $5,000 per year for 35 years you will have accumulated $1,000,000. What is the annual rate of return on the latter investment? Round to the nearest 0.01%.

Answer #1

We will use TVM formula which is as follows-

Future Value = Present value*((1+interest rate)^time)

Question

We need to find how much time will it take for 100,000 to grow to 500,000 if invested at 9.15%

$500,000 = $100,000*((1+9.15%)^time)

Solving for time we get

Time = 18.38 years

Question

We need to the interest rate in this-

$1,000,000 = ($5000/((1+r)^1) + ($5000/((1+r)^2) + ($5000/((1+r)^3) +......+ ($5000/((1+r)^34) + ($5000/((1+r)^35)

Solving for r

We get r = 8.66%

Show the work with formulas step by step
please.
- How many years will it take for $100,000 to grow to $500,000
if it is invested at an annual interest rate of 9.15%? Round to the
nearest 0.01.
- You are told that if you invest $5,000 per year for 35 years
you will have accumulated $1,000,000. What is the annual rate of
return on the latter investment? Round to the nearest 0.01%.

- How many years will it take for $100,000 to grow to $500,000
if it is invested at an annual interest rate of 9.15%? Round to the
nearest 0.01.
- You are told that if you invest $5,000 per year for 35 years
you will have accumulated $1,000,000. What is the annual rate of
return on the latter investment? Round to the nearest 0.01%.

(Compound
value solving for
n)
How many years will the following take?a.
$500
to grow to
$1,039.50
if invested at
5
percent compounded annuallyb.
$35
to grow to
$53.87
if invested at
9
percent compounded annuallyc.
$100
to grow to
$298.60
if invested at
20
percent compounded annuallyd.
$53
to grow to
$78.76
if invested at
2
percent compounded annuallya. How many years will it take
for
$500
to grow to
$1,039.50
if invested at
5
percent compounded annually?
nothing...

Please show your work. If you don't show your work, you
will not get credit. You can put the number next to the function in
your submission. For example, FV = 150,000, PV = 250,000, i = 10%,
and n = 5. Questions, let me know. If you do not show your work, no
credit.
If you wish to accumulate $325,000 in 15 years, how much must
you deposit today in an account that pays an annual interest rate
of...

Compound
value solving for
n)
How many years will the following take?a.
$510
to grow to
$1,093.23
if invested at
10
percent compounded annuallyb.
$38
to grow to
$60.30
if invested at
8
percent compounded annuallyc.
$110
to grow to
$421.94
if invested at
13
percent compounded annuallyd.
$51
to grow to
$64.39
if invested at
6
percent compounded annually
a. How many years will it take for
$510
to grow to
$1,093.23
if invested at
10
percent compounded annually?...

1. How many years will it take for $480 to grow to $1,061.07 if
it's invested at 7 percent compounded annually?
The number of years it will take for $480 to grow to $1,061.07
at 7 percent compounded annually is ___ years?
2. At what annual interest rate, compounded annually, would
$520 have to be invested for it to grow to $2,008.76 in 10
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The annual interest rate, compounded annually, at which $520
must be invested for it to...

How many years will it take $145,000 to grow to $675,000 if it
is invested in an account with a quoted annual interest rate of 9%
with monthly compounding of interest?

How many years would it take $1,000 to grow to $5,000 assuming
an annual interest rate of 15%?

Q3) How many years would it take an investment of $333 to grow
to $10,789 at an annual rate of return of 11.00%?
Q4) How much money would you need to deposit today at 23.00%
annual interest compounded monthly to have $26,802 in the account
after 13 years?
Q5) If you deposit $729 into an account paying 15.00% annual
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Q6) If you deposit $21,114 at 06.00% annual...

How many years (and months) will it take $2 million to
grow to $4.00 million with an annual interest rate of 7 percent?
(Do not round intermediate calculations. Round "months" to
1 decimal place.)

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