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klio [65]
2 years ago
14

If the national unemployment rate decreased at an annual rate of 2% per year for three consecutive years, then the rate decrease

d by 6% over the three-year period.
Mathematics
1 answer:
VashaNatasha [74]2 years ago
5 0

If the national unemployment rate decreased at an annual rate of 2% per year for three consecutive years, then the rate decreased by 5.88% over the 3-year period.

<h3>What is the rate of decrease over the 3-year period?</h3>

The rate of decrease would compound over the 3-year period. Thus, in order to determine the total rate of decline, the yearly rate of decline cannot be added.

Total rate of decline = (1 - yearly rate of decline)^(number of years)

(1 - 0.02)^3 = 5.88%

To learn more about compounding, please check: brainly.com/question/18760477

#SPJ1

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3 years ago
RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly
tatiyna

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

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1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

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3 years ago
Which of the following pairs of points are both solutions to the equation 2x-5y=6 ? and and and and
zhannawk [14.2K]

Answer:

Any points on the line y=2/5 x - 6/5. See picture below.

Step-by-step explanation:

Convert the equation to slope intercept form and graph it.

2x - 5y = 6

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y = -2/-5 x + 6/-5

y=2/5 x - 6/5.

Locate each of the points listed on the graph. If they are a part of the line, then they are solutions.

3 0
3 years ago
1. What is the sum of 1/9, 2/3, and 5/18?<br> O A. 30<br> O B. 12/9<br> O C. 19/18<br> O D. 4/15
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Answer:

C. 19/18

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\frac{1}{9}  +  \frac{2}{3}  +  \frac{5}{18 }  =  \frac{2}{18}  +  \frac{12}{18}  +  \frac{5}{18}  =  \frac{19}{18}

So the answer is C. 19/18

6 0
2 years ago
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