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Vika [28.1K]
4 years ago
9

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If

Mathematics
1 answer:
Jlenok [28]4 years ago
7 0

Answer:  B) 10 three-point questions and 14 five-point questions

<u>Step-by-step explanation:</u>

x represents three-point questions

y represents five-point questions

3x + 5y = 100  →  1(3x + 5y = 100)  =  3x + 5y = 100

 x  +  y  = 24   → -3(x  +  y  = 24)   = <u> -3x  -3y  = -72 </u>

                                                                  2y = 28

                                                                    y = 14  (five-point questions)

x +  y = 24

x + 14 = 24

     x = 10  (three-point questions)

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C = 5/9(F - 32)....multiply both sides by 9/5
9/5C = F - 32...add 32 to both sides
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4 years ago
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Which of the following equations describe the line shown below? 
frez [133]
Here, Slope (m) = y2 - y1 / x2 - x1
m = 10 - 2 / 1 - (-3)
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y - 10 = 2 (x - 1)
Also, y - 2 = 2(x + 3)

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Hope this helps!
4 0
3 years ago
You wish to make an
Leokris [45]

Using the interest formulas, it is found that the values of the investment are given as follows:

  • Using simple interest, the value will be of $34,000.
  • Using compound interest, the value will be of $144,461.
  • Using continuous compounding, the value will be of $148,002.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = P(1 + rt)

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

In this problem, we have that the parameters are as follows:

P = 9000, r = 0.07, t = 40.

Hence:

A(t) = 9000(1 + 0.07 x 40) = 34200

<h3>Compound interest</h3>

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

n is the number of compounding, for quarterly n = 4, then:

A(t) = 9000\left(1 + \frac{0.07}{4}\right)^{4 \times 40}

A(t) = 144461

<h3>Continuous compounding</h3>

A(t) = Pe^{rt}

Hence:

A(t) = 9000e^{0.07 \times 40} = 148002

More can be learned about the interest formulas at brainly.com/question/25296782

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2 years ago
Explain how to use absolute value to add -8 + 12
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-8+12=4 is the correct answer

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An acre measures 4840 square yards. In a city a lot on which a single family house can be built measures 40 feet across and 100
maw [93]

We are required to find the percent of an acres is this lot

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Area of the lot = Length × width

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