7. Find the amount of money accumulated if you invest $10,000 at 3% interest compounded continuously for 2 years. Round your

Mathematics

1 answer:

IrinaK [193]3 years ago

4 0

Answer:

$10618.37

Step-by-step explanation:

Use the formula for compound interest:

P(t) = P_0e^(rt)

You can look the formula up online to find what each variable represents.

First, our principal amount (P) is 10,000. Our interest rate (r) is 3% and our time (t) is 2. Substitute these into the equations in each variables' place. The equation will look like this:

P(t) = 10,000e^(0.03x2)

P(t) = 10,000e^(0.06)

Note that e is approximately 2.7183 .

Using your calculator, now simply find P(t).

You should get 10618.36972 as your answer. Round that to the nearest cent to get $10618.37 .

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Approximately 40% of the calls to an airline reservation phone line result in a reservation being made. (round to three decimal

IRISSAK [1]

Answer:

The probability that none of the 10 calls result in a reservation is 0.60%. In turn, the probability that at least one call results in a reservation being made is 99.40%.

Step-by-step explanation:

Since approximately 40% of the calls to an airline reservation phone line result in a reservation being made, supposing an operator handles 10 calls, to determine what is the probability that none of the 10 calls result in a reservation, and what is the probability that at least one call results in a reservation being made, the following calculations must be performed:

0.6 ^ 10 = X

0.006 = X

0.006 x 100 = 0.60%

Therefore, the probability that none of the 10 calls result in a reservation is 0.60%.

100 - 0.60 = 99.40

In turn, the probability that at least one call results in a reservation being made is 99.40%.

3 0

2 years ago

Please Help Waiting 2 hours due in 10 minutes<br> Will report if file

UNO [17]

Answer:

Step-by-step explanation:

We have to multiply it by two because they have us 2 numbers for the legs, we use the Pythagorean theorem thing, but we have to basically add them, or we can multiply y 2(since they are the same number). Anyways $18\sqrt{2} (2)= 36\sqrt{2}$