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FrozenT [24]
3 years ago
11

Income Suppose income from an endowment is generated at the annual rate of $42,000 per year. Find the capital value of this endo

wment at an interest rate of 7.5% compounded continuously.
Mathematics
1 answer:
Mrac [35]3 years ago
4 0

Answer:

Capital value after 1 year will be equal to $45150

Step-by-step explanation:

We have given principal amount P = $42000

Rate of interest r = 7.5 %

Time t = 1 year

Capital value is given by A=P(1+\frac{r}{100})^n

So A=42000\times (1+\frac{7.5}{100})^1

A=42000\times 1.075=45150

So capital value after 1 year will be equal to $45150

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To complete a task in 15 days, a company has 4 people each working 8 hours a day. The company
Klio2033 [76]

Answer:

Let's suppose that each person works at an hourly rate R.

Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:

4*R*(15*8 hours) = 1 task.

Whit this we can find the value of R.

R = 1 task/(4*15*8 h) = (1/480) task/hour.

a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:

5*( (1/480) task/hour)*(D*6 hours) = 1 task.

We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:

D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16

D = 16

Then the 5 workers working 6 hours per day, need 16 days to complete the job.

b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.

4 0
3 years ago
Charles has 24 marbles. He has 6 more marbles than blue marbles. Which equation represents this situation.
statuscvo [17]

Answer:

n + (n + 6) = 24.

Step-by-step explanation:

Let him have n  blue marbles, then he has n + 6 other narbles.

He has a total of 24 marbles, so:

n + (n + 6) = 24.

8 0
2 years ago
Read 2 more answers
HELP ASAP!!<br> What is the unit rate for the situation in terms of centimeter/minute?
vesna_86 [32]
The unit rate is 5cm per 1min

5:1
4 0
3 years ago
Can anyone explain how to do any of this?
pashok25 [27]

Answer:

qn 10. 15mn² - 23m²n +4m³

Step-by-step explanation:

1. distribute 4m through the parenthesis

8mn² - 12m²n + 4m³ - 2n(5m² - 3nm) + nm(n-m)

2. use the commutative property to reorder the terms

8mn² - 12m²n + 4m³ - 2n(5m² - 3mn) + mn(n - m)

3. distribute -2n through the remaining parenthesis

8mn² - 12m²n + 4m³ -10m²n + 6mn² + mn² - m²n

4. collect like terms

8mn² + 6mn² + mn² - 12m²n - 10m²n - m²n + 4m³

5. complete bodmas

15mn² - 23m²n +4m³

that's is how you do it so the answer is

15mn² -23m²n + 4m³

5 0
3 years ago
Can you please help?
Alborosie
Can’t help DDDD: bcoz link is a scam
7 0
3 years ago
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