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Gemiola [76]
2 years ago
8

I borrowed $400 to buy an MP3 player. I got a two-year loan, and the lender is charging 8% simple annual interest. How much mone

y will I have to pay back?
What decimal is equivalent to 8%?
Mathematics
1 answer:
hichkok12 [17]2 years ago
6 0

Answer:

$464 (0.08 is the decimal form of 8%)

Step-by-step explanation:

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Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount
Nikolay [14]

Constant rates are used to illustrate linear functions.

  • The average rate of change is $9.0 per hour
  • The function that models the table is: \mathbf{f(x) = 9x }
  • The amount earned in 7.5 hours is $67.5

<u>(a) The average rate of change</u>

This is calculated using:

\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}

So, we have:

\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}

\mathbf{Rate = \frac{9}{1.0}}

\mathbf{Rate = 9.0}

Hence, the average rate of change is $9.0 per hour

<u>(b) A function that models the table of values</u>

Let x represent hours, and y represent the earnings.

So, we have:

\mathbf{y =m (x - x_1) + y_1}

Where:

m =Rate = 9.0

So, we have:

\mathbf{y = 9(x - 2.5) + 22.5}

Expand

\mathbf{y = 9x - 22.5 + 22.5}

\mathbf{y = 9x }

Represent as a function

\mathbf{f(x) = 9x }

Hence, the function that models the table is: \mathbf{f(x) = 9x }

<u>(c) Amount earned for 7.5 hours</u>

This means that x = 7.5

So, we have:

\mathbf{f(7.5) = 9 \times 7.5 }

\mathbf{f(7.5) = 67.5}

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

4 0
2 years ago
Solve T=L(2+RS) for R
True [87]

Answer:

Step-by-step explanation:

I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have

T = 2L + LRS

Next subtract the 2L to get

T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get

\frac{T}{LS}-\frac{2L}{LS} = R  In that second term, the L's cancel each other out, leaving us with

\frac{T}{LS}-\frac{2}{S} = R

4 0
3 years ago
The ratio of boys to girls in the school choir is 4:7 if there are 16 boys how many girls are in the choir?
Viktor [21]

Answer:

Step-by-step explanation:

let the no of girls be x

ratio of boys to girls=4:7

4/7=16/x

do cross multiplication

7*16=x*4

112=4x

112/4=x

28=x

therefore there are 28 no of girls.

3 0
2 years ago
Read 2 more answers
Quamain is selling chocolate bars for a fundraiser. In his box, he had 12 milk chocolate bars, 8 caramel bars, 9 almond chocolat
zlopas [31]

Answer: 12:9

Step-by-step explanation:

He had 12 milk chocolate bars and 9 almond chocolate bars so the answer is 12:9

And it is also 12:9 is because they ask milk chocolate TO almond chocolate .

4 0
3 years ago
One half of a number is 24 determine the number
JulijaS [17]
24 * 2 = 48
48/2 = 24
The answer is 48
I hope this helps you!
5 0
3 years ago
Read 2 more answers
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