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mr Goodwill [35]
3 years ago
10

Phillip deposited $7,775 into a savings account 14 years ago. the account has an interest rate of 4.5% and the balance is curren

tly $14,398.87. how often does the interest compound?
Business
1 answer:
Bas_tet [7]3 years ago
3 0
The future amount of an investment with compound interest can be calculated through the equation,

     F = P x (1 + ieff)^n

where F is the future amount, P is the current value of the money, ieff is the effective interest (rate per year), and n is the number of years.

From the equation, all are given except for the effective interest, i. Now, substituting the known values,
  14,398.87 = (7,775) x (1 + ieff)^14

The value of ieff from the equation is 0.044999. 

Since the value of the ieff when translated to percentage is equal to 4.5% as well, the interest rate is compounded yearly. 
You might be interested in
You have a chance to buy an annuity that pays $550 at the beginning of each year for 3 years. You could earn 5.5% on your money
Oliga [24]

Answer:

$1,565

Explanation:

Enter the following inputs into financial calculator, we will have:

n = 3 years

Present value (PV): The amount that you should pay for the annuity. This is the missing value we need to calculate

Future value (FV): FV = 0, there is no future value of an annuity

PMT: The amount that annuity pays per year. ($850)

i/r = 5.5%: The interest you expect to receive from the annuity

PV = $1,484

Since the payment is made at the beginning of each year, you should multiply the PV amount by  (1+0.055)

The final answer would be 1,484 x 1.055 = $1,565

The most you should pay is $1,565

7 0
3 years ago
Step 7 of 12 If you choose to purchase the car instead, you will need to pay: A down payment of $1,299.50 Monthly payments of $3
vesna_86 [32]

Answer:

$14,712.38

Explanation:

To calculate the total cost to purchase this car, we need to multiply the monthly payments times 36 (= 3 years x 12 months per year), and add the down payment.

total cost = (monthly payments x 36) + down payment = ($372.58 x 36) + $1,299.50  

total cost = $13,412.88 + $1,299.50  = $14,712.38

8 0
3 years ago
Knowledge Check 01 On February 13, a jewelry store sells an engagement ring with a sales price of $10,000 to a nervous young man
Simora [160]

Answer:

Cash Dr 10975  

     To Sales  $10,000  

     To  Sales Tax Payable $975 ($10,000 × 9.75%)

(Being the cash is recorded)

Explanation:

The journal entry is shown below;

Cash Dr 10975  

     To Sales  $10,000  

     To  Sales Tax Payable $975 ($10,000 × 9.75%)

(Being the cash is recorded)

For recording this we debited the cash as it increased the assets and credited the sales and sales tax payable as it also increased the revenue and liabilities

4 0
3 years ago
Your family is expanding in number, and so you decide to sell your current home and upgrade to a larger home. You estimate that
castortr0y [4]

Answer:

The Estimated Monthly Mortgage Payment

=    $2,810.81

Explanation:

Data and Calculations:

House price = $475,000

Down payment = $100,000

Percentage of down payment = 21.05% ($100,000/$475,000 * 100)

Finance period = 15 years = 180 months (15 * 12)

Nominal annual interest compounded monthly = 4%

The estimated monthly mortgage payment using an online finance calculator:

Monthly Pay:   $2,810.81

House Price $475,000.00

Loan Amount $380,000.00

Down Payment $95,000.00

Total of 180 Mortgage Payments $505,946.54

Total Interest $125,946.54

Mortgage Payoff Date Jan. 2036

6 0
3 years ago
An advertising agency is developing advertisements to promote a political candidate. one ad is a radio spot airing during "drive
brilliants [131]

Answer:

The radio spot should reply on the peripheral route to persuasion.

Explanation:

The peripheral route to persuasion happens when the audience chooses whether to concur with the message dependent on different cues, besides the strength of the contentions or thoughts in the message.

Peripheral route of influence isn't being convinced by actualities yet by fame and popularity. It is shallow and is generally based on attractiveness. There is no elaboration and crowds are passive. Individuals utilize mental alternate ways for this. Change through this course is impermanent and leaves rapidly.

5 0
3 years ago
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