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hram777 [196]
3 years ago
12

Find the value of an investment of $5000 at 7% compounded continuously for 6 years

Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:

Option 4 is correct

Step-by-step explanation:

If the rate is compounded continuously, the formula used to find the future value is:

A= Pe^rt

Where A = Future Value

P= Principal amount

r = interest rate in decimal

t = time

For the given data:

A=?

P = $5000

r = 7% or 0.07

t = 6

Putting values in the above formula

A= 5000e^(0.07 *6)

A = 7609.81

So, Option 4 is correct.

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Anarel [89]
I think that is very true
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3 years ago
Tom works for a company his normal rate of pay 15 per hour
Brrunno [24]

The amount earned by Tom is the product of the <em>rate per</em> <em>hour and the number of hours</em> worked which is $90.

  • The amount earned per hour = $15

  • The number of hours worked = 6 hours

<u>The amount earned at the normal earning rate can be calculated thus</u> :

  • <em>Normal rate per hour × number of hours</em>

Amount earned = $15 × 6 = $90

Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.

Learn more : brainly.com/question/18796573

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2 years ago
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A package states that there are 60 calories in 12 crackers
kvv77 [185]

Answer: 5 calories = 1 cracker

Step-by-step explanation:

60:12 = 5:1

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7 0
3 years ago
Sheila, janice, and katen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate, how mu
pychu [463]

Answer:

Janice and Karen could do in 1 day:

  • <u>20% of the job</u>.

Step-by-step explanation:

To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:

If three persons make a job in 3 1/3 days, 1 person make the job in x:

  • 3 persons ⇒ 3 1/3 days or 10/3 days
  • 1 person ⇒ x

Then:

  • x=\frac{1 person*\frac{10}{3}days }{3 persons} (we cancel the unit "persons")
  • x=\frac{\frac{10}{3}days }{3}
  • x = 10 days

Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:

  • Time to complete a job between 2 persons = \frac{10}{2}days
  • Time to complete a job between 2 persons = 5 days

How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:

  • 5 days ⇒ 100% of a job
  • 1 day ⇒ x

Then:

  • x=\frac{1*100}{5} (you can use the % if you want, the result is the same)
  • x=\frac{100}{5}
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As you can see, <u><em>Janice and Karen just in a day could do 20% of the job</em></u>.

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