24.02.2022

You want to be able to withdraw the specified amount periodically from a payout annuity with the given terms. Find how much the account needs to hold to make this possible. Round your answer to the nearest dollar.

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Business
Step-by-step answer
P Answered by Master

The question is incomplete. The complete question is :

You want to be able to withdraw the specified amount periodically from a payout annuity with the given terms. Find how much the account needs to hold to make this possible. Round your answer to the nearest dollar.

Regular withdrawal    $ 2200

Interest rate                        2%

Frequency                   Monthly

Time                                20 years

Solution :

Given :

Monthly withdrawal = $ 2200

Interest rate = 2%

Frequency = monthly

Time = 20 years

        = 20 x 12 = 240 months

Formula used :

$w=\frac{[PZ^{r-1}(Z-1)]}{[Z^Y-1]}$         with Z = 1 + r

where, w = monthly withdrawal

P = principal amount

r = monthly interest rate

Y = Number of months

So, w = 2200

     r = 2% = 0.02

     Z = 1 + r

        = 1 + 0.02 = 1.02

Y = 240

Therefore,

$2200=\frac{P(1.02)^{240-1}(1.02-1)}{(1.02)^{240-1}(1.02-1)}$

$P=\frac{2200(115.888-1)}{113.6164(0.02)}$

   = 111,231829

   ≈ 111,232 (rounding off)

Thus, the account balance = $ 111,232

Business
Step-by-step answer
P Answered by Specialist

The question is incomplete. The complete question is :

You want to be able to withdraw the specified amount periodically from a payout annuity with the given terms. Find how much the account needs to hold to make this possible. Round your answer to the nearest dollar.

Regular withdrawal    $ 2200

Interest rate                        2%

Frequency                   Monthly

Time                                20 years

Solution :

Given :

Monthly withdrawal = $ 2200

Interest rate = 2%

Frequency = monthly

Time = 20 years

        = 20 x 12 = 240 months

Formula used :

$w=\frac{[PZ^{r-1}(Z-1)]}{[Z^Y-1]}$         with Z = 1 + r

where, w = monthly withdrawal

P = principal amount

r = monthly interest rate

Y = Number of months

So, w = 2200

     r = 2% = 0.02

     Z = 1 + r

        = 1 + 0.02 = 1.02

Y = 240

Therefore,

$2200=\frac{P(1.02)^{240-1}(1.02-1)}{(1.02)^{240-1}(1.02-1)}$

$P=\frac{2200(115.888-1)}{113.6164(0.02)}$

   = 111,231829

   ≈ 111,232 (rounding off)

Thus, the account balance = $ 111,232

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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