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Softa [21]
3 years ago
9

You just started your first job today. Besides your 401K, you are planning to save $3,000 a year for 40 years for your retiremen

t when you receive tax returns. If the first deposit is made a year from now into an account with the annual interest rate of 8%, how much will you have in your account in 40 years? Round to the nearest cent. Do not include any unit (If your answer is $111.11, then type 111.11 without $ sign.)
Business
1 answer:
umka21 [38]3 years ago
6 0

Answer:

The correct answer is 777.169.56.

Explanation:

According to the scenario, the given data are as follows:

Payment per year (PMT) = $3,000

Time (N) = 40 years

Rate of interest (R)= 8%

So, the future value of the following can be calculated by using the following formula:

Future value = PMT × \frac{((1+r)^{n} -1)}{R}

Now, put the value of the following in the formula. then,

= 3,000 × \frac{((1+8/100)^{40} -1)}{8/100}

= 3,000 × 259.0565

= 777,169.56

Hence, the value in the account after 40 years will be 777,169.56.

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Which of the following is NOT one of the mentioned ways high school differs from higher learning?
Digiron [165]
Hey there!

<span>Which of the following is NOT one of the mentioned ways high school differs from higher learning?

Answer: </span>
<span>Amount of support and guidance

Hope this helps
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3 0
3 years ago
Business writers prefer simple, informal words that are readily understood and less distracting than more difficult, formal word
Daniel [21]

Answer:

The statement is: False.

Explanation:

Business is one of the fields that require paperwork and reports to be transmitted seriously because of the type of information handled. <em>Inflation rates, the annual Gross Domestic Product (GDP) </em>or <em>a country's economic policy</em> are typical topics dealt in this field. For that reason, business writers <em>must be formal</em> without being afraid of using technical terminology where necessary.

5 0
2 years ago
produces decorative mailboxes. The​ company's average cost per unit is $ 23.43 when it produces 1 comma 400 mailboxes. Requireme
lianna [129]

Answer:

1) The total cost of production (TC) is $32,802.

2) The variable cost per unit is $9/unit.

3) Cost equation: TC(Q)=20,200+9Q

4) TC=$35,145

5) TC=$33,702

6) Difference=$1,443

The appropiate approach is using the cost function, because its differentiates the cost that are fixed and not dependant of the volume of production, and the variable cost, that are proportional to the quantity produced.

Explanation:

1) The total cost of production can be calculated as the product of the cost per unit ($23.43/unit) and the total ammount of units (1,400 units):

TC=c*Q=23.43*1,400=32,802

The total cost of production (TC) is $32,802.

2) The fixed cost (FC) are $20,202, so the variable cost are:

VC=TC-FC=32,802-20,202=12,600

This is the variable cost for 1,400 mailboxes, so the unit variable cost is:

vc=VC/Q=12,600/1,400=9

The variable cost per unit is $9/unit.

3) The equation of cost can be written as:

TC(Q)=20,200+9Q

4) If it uses the average cost tot predict the cost of 1,500 mailboxes, he will get:

TC=23.43*1,500=35,145

5) If he uses the cost function, he will get

TC=20,202+9*1500=20,202+13,500=33,702

6) The dollar difference between the two estimates is:

TC_4-TC_5=35,145-33,702=1,443

The appropiate approach is using the cost function, because its differentiates the cost that are fixed and not dependant of the volume of production, and the variable cost, that are proportional to the quantity produced.

The average cost per unit is not constant for every quantity and the error will increase if the quantity is much different from 1,300 units.

3 0
2 years ago
A refinery blends three petroleum components into three grades of gasoline -regular, premium, and diesel. The maximum quantities
erica [24]

Answer:

Explanation:

1)

<h3> </h3>

xij = barrels of component i used in grade j per day for i = A, B, C and j = R, P, D

2)

Max Z = 18 (x AR + x BR + x CR) + 25 (x AP + x BP + x CP) + 15 (x AD + x BD + x CD) – 9 (x AR + x AP + x AD) – 7 (x BR + x BP + x BD) – 10 (x CR + x CP + x CD)

or,

Max Z = 9 x AR + 11 x BR + 8 x CR + 16 x AP + 18 x BP + 15 x CP + 6 x AD + 8 x BD + 5 x CD

3)

Subject to,

x AR + x AP + x AD <= 6000

x BR + x BP + x BD <= 3000

x CR + x CP + x CD <= 4500

x Aj + x Bj + x Cj >= 5000 for j = R, P, D

x AR >= 30%*(x AR + x BR + x CR) or, 0.7 x AR - 0.3 x BR - 0.3 x CR >= 0

x BR <= 30%*(x AR + x BR + x CR) or, -0.3 x AR + 0.7 x BR - 0.3 x CR <= 0

x CR >= 30%*(x AR + x BR + x CR) or, -0.3 x AR - 0.3 x BR + 0.7 x CR >= 0

x CP >= 60%*(x AP + x BP + x CP) or, -0.6 x AP - 0.6 x BP + 0.4 x CP >= 0

x BD <= 50%*(x AD + x BD + x CD) or, -0.5 x AD + 0.5 x BD - 0.5 x CD <= 0

xAD >= 10%*(xAD + xBD + xCD) or, 0.9 xAD - 0.1 xBD - 0.1 xCD >= 0

xij >= 0 for i = A, B, C and j = R, P, D

6 0
3 years ago
A teenage driver crashes her​ parents' minivan into an office​ building, causing​ $85,000 in damage to the building. The automob
bulgar [2K]

Answer:

The driver will pay $10,000, because the insurance company can pay max $75,000 as regulated in term "insurance limit 100/250/75"

Explanation:

the insurance limit 100/250/75 coverage, which translates into $100,000 coverage per person for bodily injury, including death, that you cause to others; $250,000 in  bodily injury per accident; and property damage up to $75,000.

7 0
3 years ago
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