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umka2103 [35]
2 years ago
10

11) Which situation can be represented by 17.35x > 624.60?

Mathematics
1 answer:
agasfer [191]2 years ago
6 0

Answer:

  J Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?

Step-by-step explanation:

You're looking for a situation in which the number 17.35 needs to be multiplied by an unknown quantity.

Scenarios F and G involve addition of 17.35 to something.

Scenario H would correspond to the inequality ...

  17.65x < 624.60

The sign of the given inequality is >, so scenario H is not the one.

__

In scenario J, Darren's total earnings for x hours will be 17.35x, and we want to find x such that this total is greater than 624.60. This matches the given inequality:

  17.35x > 624.60 . . . . . . answer choice J

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Tara owes $14,375 in credit card debt. The interest accrues at a rate of 5.3%. She is also borrowing $570 each month for rent fr
siniylev [52]

Answer:

(f + g)(t) = f(t) + g(t) = 14375 (1 + \frac{5.3}{100})^{t} + 6840t

$29619.13

Step-by-step explanation:

a. Tara has $14375 in credit card debt and the interest rate is 5.3%.

Now, if f(t) represent the amount of money Tara have in credit card debt, where t is the number of years after after interest begins to accrue, then  

f(t) = 14375 (1 + \frac{5.3}{100})^{t} ......... (1)

Again Tara borrows $570 each month for rent from her parents without any interest.  

If g(x) represent the amount of money Tara owes to her parents, where t represents the number of years passed,then we can write  

g(t) = 570 × 12t = 6840t ........ (2)

Therefore, (f + g)(t) = f(t) + g(t) = 14375 (1 + \frac{5.3}{100})^{t} + 6840t

b. So, for t = 2 years,  

(f + g)(t) = 14375 (1 + \frac{5.3}{100})^{2} + 6840 \times 2 = $29619.13

So, Tara has to repay $29619.13 if she continues this way without any repayment for 2 years. (Answer)

7 0
2 years ago
In Juneau, Alaska, the 30-year annual snowfall average is 86.7 inches with a standard deviation of 40.4 inches. The last four ye
marusya05 [52]
The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches. To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years. Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches. Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches. To compute for the z-score, we have z-score = (x – μ) / (σ / √n) where x is the computed/measured value, μ is the expected mean, σ is the standard deviation, and n is the number of samples. Using the information we have, z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68 In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05. Therefore, the answer is B.
5 0
2 years ago
Read 2 more answers
Write a different expression that has the same quotient as -3/8 and 3/-8.
matrenka [14]
An equivalent fraction is a fraction formed by multiplying the numerator and the denominator of a fraction by a common number.

-\frac{3}{8} =- \frac{3\times2}{8\times2} = -\frac{6}{16}
4 0
2 years ago
Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115
Pani-rosa [81]

By definition we have that the average rate of change of the function is:

 AVR =  \frac{f(x2) - f(x1)}{x2 - x1}

 Evaluating the function for the complete interval we have that the AVR is given by:

 AVR = \frac{115 - (-5)}{10 - (-2)}

 Rewriting we have:

 AVR = \frac{115+5}{10+2}

 Simplifying the expression we have:

 AVR = \frac{120}{12}

 AVR = 10

 Answer:

 the average rate of change of the function defined by the table is:

 AVR = 10

6 0
2 years ago
A candy store sells caramels and milk chocolate by the pound the table below shows the total cost in dollars for a pound of each
MakcuM [25]

The cost of 1\frac{3}{4} pounds chocolate milk is $6.25 more than the cost of 1\frac{3}{4} pounds of Caramel.

Step-by-step explanation:

Given,

Cost of one pound of Caramels = $10.28

Cost of 1\frac{3}{4} pounds of Caramel = 10.28*1\frac{3}{4}

Cost of 1\frac{3}{4} pounds = 10.28*\frac{7}{4}=\frac{71.96}{4}= \$17.99

Cost of one pound of chocolate milk = $13.85

Cost of 1\frac{3}{4} pounds = 13.85*1\frac{3}{4}=13.85*\frac{7}{4}

Cost of 1\frac{3}{4} pounds = \frac{96.95}{4}=\$24.24

Difference = 24.24 - 17.99 = $6.25

The cost of 1\frac{3}{4} pounds chocolate milk is $6.25 more than the cost of 1\frac{3}{4} pounds of Caramel.

Keywords: difference, multiplication

Learn more about multiplication at:

  • brainly.com/question/10414011
  • brainly.com/question/10483199

#LearnwithBrainly

5 0
2 years ago
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