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KatRina [158]
4 years ago
5

Mr. Peterson paid $1,020 in interest for a loan, which was given to him at a rate of 5% for 3 years. How much money did he borro

w originally?
Mathematics
1 answer:
Nataly_w [17]4 years ago
6 0

Answer:

The amount of money originally borrowed by Mr. Peterson  is $6,800.

Step-by-step explanation:

Let us assume the money borrowed originally = P

Rate of interest  = 5%

Time = 3 years

S interest = $1020

Simple Interest  = \frac{P \times R \times T }{100}

Substituting the all values, we get:

1020 = \frac{P \times 5 \times 3 }{100}\\\implies P = \frac{102000}{15}  = 6,800

⇒  P = $6,800

Hence, the amount of money originally borrowed by Mr. Peterson  is $6,800.

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Andreyy89

Answer:

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8 0
3 years ago
HELP ASAP I WILL GIVE YOU BRAINLEAST<br><br> WHAT IS THE EQUATION OF THE GRAPH?
siniylev [52]

Problem 1 (on the left)

It appears we have an exponential function curve through the points (0,4) and (1,7)

The general exponential function is of the form

y = a*b^x

The value of 'a' is the y intercept or initial value. So a = 4

Plug in (x,y) = (1,7) to help solve for b

y = a*b^x

y = 4*b^x

7 = 4*b^1

7 = 4b

b = 7/4 = 1.75

Therefore, the function is y = 4*(1.75)^x

  • Plug in x = 0 and you should get y = 4.
  • Plug in x = 1 and you should get y = 7

These two facts help confirm we have the correct exponential equation.

<h3>Answer: y = 4*(1.75)^x</h3>

===========================================================

Problem 2 (on the right)

The steps will follow the same idea as the previous question.

The exponential curve goes through (-1, 120) and (0,40)

We have a = 40 this time due to the y intercept (0,40)

Plug in the coordinates of the other point to find b

y = a*b^x

y = 40*b^x

120 = 40*b^(-1)

120 = 40/b

120b = 40

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2 years ago
Suppose that on the leeward side of the island of Oahu, in the small village of Nanakuli, about 30% of the residents are of Hawa
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Answer:

The expected number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli is 3.3

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are of Hawaiian ancestry, or they are not. The probability of a person being of Hawaiian ancestry is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution:

The expected number of trials to find r sucesses, with p propability, is given by:

E(X) = \frac{r}{p}

30% of the residents are of Hawaiian ancestry.

This means that p = 0.3

What is the expected number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli?

This is E when r = 1. So

E(X) = \frac{r}{p} = \frac{1}{0.3} = 3.3

The expected number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli is 3.3

5 0
4 years ago
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11111nata11111 [884]
The answer is 72 is you need me to explain I’d be glad to help.
8 0
3 years ago
Jon performs 3 transformations on a pentagon. First, he reflects it over the x-axis. Then, he translates it 3 units to the left
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Reflection and translation do not change the dimensions (or angles) of the figure.

The original and transformed images are congruent.
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3 years ago
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