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Agata [3.3K]
2 years ago
8

Sergio has decided to diversify his investments in the following way: $4,000 in an account earning 3. 2% simple interest $4,000

in a savings account earning 2. 1% interest compounded annually $7,500 in a certificate of deposit earning 5% interest compounded quarterly How much total interest will Sergio earn on his investments at the end of 4 years? a. $1,240. 82 b. $2,123. 90 c. $2,497. 17 d. $2,507. 90.
Business
1 answer:
storchak [24]2 years ago
7 0

The total interest earned at the end of 4 years is $2,507. 90.

The formula for determining simple interest is: Principal x interest rate x time

$4000 x 3.2% x 4 = $512.

The formula for determining interest with compounding is: future value - amount invested.

The formula for calculating future value:

FV = P (1 + r/m)^nm

  • FV = Future value  
  • P = Present value  
  • R = interest rate  
  • m = number of compounding
  • N = number of years  

Future value of the savings account = $4000 x (1.021)^4 = $4346.73

Interest = $4346.73 - $4000 = $346.73

Future value of the certificate of deposit = $7500 x (1.0125)^16 = $9149.17

Interest = $9149.17 - $7500 = $1649.17

Total interest =  $1649.17 + $346.73 + $512. = $2,507. 90.

To learn more about future value, please check: brainly.com/question/18760477

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The expected rate of return for a stock whose next dividend is "DIV1", that has a required rate of return "r" and expects to gro
Tema [17]

Answer:

The correct answer is r=(DIV1/P0)+g

Explanation:

The expected rate of return for a stock is usually the dividend yield  added to capital gains yield.

Dividend yield is the percentage of the share's price that the company pays to shareholders as dividends and the formula is the dividends divided by the share price, hence in this scenario it DIV1/PO

On other hand,capital gains yield is the percentage increase of the share price over time. In other words, the share price growth rate,which is a market expectation of the company's performance.The g given in the question depicted this.

Without mincing words,the expected rate of return on the stock is dividends yield(DIV1/P0) plus the capital gains yield(g)

6 0
3 years ago
Which type of private security personnel provides the given service?
Vinil7 [7]

Answer:

Private security guards provide security for people and facilities. They typically deal with issues related to trespassing, burglary, theft, or threats to their clients.

Explanation:

8 0
3 years ago
Problems and applications q6 darnell loves playing rock 'n' roll music at high volume. jacques loves opera and hates rock 'n' ro
mafiozo [28]

Answer:

false

Explanation:

The Coase theorem states that parties in dispute should seek an optimal solution to their problem regardless of how property rights were initially distributed.

In this case, you need to find an agreement that satisfies both Darnell and Jacques regardless of who initially would have been considered to be right about the argument. Conflicts over rights to use property can be solved when parties settle on the efficient use of inputs. E.g. they could establish hours at which Darnell can listen to rock n' roll, and other hours when he shouldn't. That way both of them can enjoy the music they like and not bother the neighbors.

An optimal solution can always be reached regardless of initial distribution of rights.

7 0
3 years ago
A supply curve has equation q equals 4 p minus 24 ⁢ comma where p is price in dollars. A dollar-sign 3 tax is imposed on supplie
emmasim [6.3K]

Answer: New supply equation = Qs= 4P - 36

Explanation: A supply equation shows us the mathematical relationship between quantity supplied and the price of the good. Since price and supply are positively related, P must carry a positive sign in the supply equation.

Given, supply is Qs=4P - 24

P is the price paid by consumers in the market.

When a $3 tax is levied , price sellers receive becomes P-T = P - 3

So, the new supply equation will be

Qs= 4 (P-3) - 24 Qs= 4P - 12 - 24  Qs= 4P - 36

5 0
3 years ago
​Lisa's credit card balance this month is​ $969.16. Her APR​ (annual percentage​ rate) is 15.24​ %. The minimum payment due is​
8090 [49]

Answer:

It will take 50 months to complete the payment on his entire balance

Explanation:

We have to solve for n in an annuity:

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\  

C  $20.00  

time n

rate (0.1524 / 12 months per year) 0.00127

PV $969.1600  

20 \times \frac{1-(1+0.00127)^{-n} }{0.00127} = 969.16\\  

(1+0.00127)^{-n}= 1-\frac{969.16\times0.00127}{20}  

(1+0.00127)^{-n}= 0.93845834


Now, we use logarithmics properties to get the answer:

[tex]-n= \frac{log0.93845834}{log(1+0.00127)  

n = 50.044991

8 0
3 years ago
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