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Suppose $250,000 is used to establish an annuity that earns 6%, compounded quarterly, and pays $6000 at the end of each quarter. It will take about 120 quarters until the account balance reaches $0.
Amount invested (Present value) = $250000
Quarterly payment (At the end of each quarter) (P) = $4500
Interest Rate (Quarterly) (r) = 6% /4
= 1.5% = 0.015
A number of quarters (n) = ?
Future value at the end = 0
Present value of Annuity formula:
Present value = P × 
250000 = 4500 × 
250000 = 300000 × 
250000 / 300000 = 
0.83333 = 
n = 120
Hence is shall take 120 Quarters until the account balance is $0.
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Answer:
$366,287.15
Explanation:
Annual salary = $32000
No. of years (n) = 30 years
Increment in salary = $600
Deposit rate = 10%
Interest rate (r) = 7% or 0.07
Growth rate (g) = Increment in salary \div annual salary
Growth rate = $600 \ $32000
Growth rate = 0.01875
First deposit = $32000 x 10% = $3200
Future worth = [First deposit \ (r - g)] x [(1 + r)n - (1 + g)n]
Future worth = [$3200 \ (0.07 - 0.01875)] x [(1 + 0.07)30 - (1 + 0.01875)30]
Future worth = [$3200 \ 0.05125] x [(1.07)30 - (1.01875)30]
Future worth = $62439.0243902 x [7.6122550423 - 1.7459373366]
Future worth = $62439.0243902 x 5.8663177057
Future worth = $366287.15
Hence, the future worth at retirement is $366,287.15
If Pam and Marian are successful in their application to New Hempshire and Connecticut, they will get a Certificate of Registration.
<h3>What is a certificate of registration?</h3>
This is a legal document that is issued by the government of an area to show that a company can operate in the area because they have met the necessary requirements.
If Pam and Marian are cleared by the Connecticut and New Hampshire states, they will get Certificates of Registration.
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