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romanna [79]
2 years ago
6

You are looking to save money to start a business. You currently have $500 saved up. We JustWantUrMoney Bank offers a savings ac

count with 12%
interest, compounded annually. How much money would you have after 10 years? Round to the nearest cent, if necessary.
Mathematics
1 answer:
Arlecino [84]2 years ago
6 0

Answer:

You would have $1552.9 after 10 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

You currently have $500 saved up.

This means that P = 500

12% interest, compounded annually.

This means that r = 0.12, n = 1.

How much money would you have after 10 years?

This is A(10). So

A(t) = P(1 + \frac{r}{n})^{nt}

A(10) = 500(1 + \frac{0.12}{1})^{10}

A(10) = 1552.9

You would have $1552.9 after 10 years.

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Answer:

Step-by-step explanation:

Alright, lets get started.

Lets find slope for both bikes one by one

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There are two points on the graph of Bike 1, these two points are (2,3) and (4,6)

So the slope for bike 1 is : \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

So the slope for bike 1 is : \frac{6-3}{4-2}

So the slope for bike 1 is : \frac{3}{2}

For bike 2 :

There are two points on the graph of Bike 2, these two points are (4,5) and (8,10)

So the slope for bike 2 is : \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

So the slope for bike 2 is : \frac{10-5}{8-4}=\frac{5}{4}

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3 years ago
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son4ous [18]

Answer: A

Step-by-step explanation:

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2 years ago
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docker41 [41]
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Suppose that out of 20% of all packages from Amazon are delivered by UPS. 15% of the packages that are delivered by UPS weighs 2
Gelneren [198K]

Answer:

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: It weighs 2 lbs or more

Event B: Delivered by UPS

15% of the packages that are delivered by UPS weighs 2 lbs or more.

This means that P(A \cap B) = 0.15

More than 2 lbs:

15% of 20%(UPS)

93% of 80%(Not delivered by UPS). So

P(A) = 0.15*0.2 + 0.93*0.8 = 0.774

a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

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XYZ will be translated so that the coordinates of X are (5,11)
trasher [3.6K]

Answer: B

Step-by-step explanation:

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