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2 years ago

What is the answer A. B. C. D.

Mathematics

1 answer:

RUDIKE [14]2 years ago

4 0

Answer:

Step-by-step explanation:

The opposite of 5/2 is -5/2 which is -2 1/2 and the opposite of -1/2 is 1/2.

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An angle measures 19.4° more than the measure of its complementary angle. What is the measure of each angle?

8090 [49]

Answer:

37.8+52.2=90

Step-by-step explanation: x + (x + 14.4) = 90

2x + 14.4 = 90

2x = 75.6

x = 37.8 (one angle)

And (x + 14.4) = 52.2 (other angle).

7 0

3 years ago

One bag of lawn fertilizer can cover approximately 5,000 square feet. Mike’s lawn is about 500 square feet. When Mike applies fe

Dvinal [7]

5,000 - bag of fertilizer
500 - Mike’s lawn
3/4 - applied fertilizer
4 - frequency in 1 year

(500 x 3/4 )x 4
(1500 / 4 ) x 4
1500 sqm / yr

5,000 sqm / 1500sqm/yr
3.33 yr

He will be able to fertilize it in 3 full years

3 0

3 years ago

Herman Melville had worked at the University Medical Center for 20 years when he became permanently disabled while at work. He c

lidiya [134]

Answer:

Herman Melville's annual disability benefit is $46,114.8

Step-by-step explanation:

Given the data in the question;

Herman Melville is 55 years, worked for 20 years, planned to retire in the next 10 years i.e at the age of 65.

so since he planned to work for the next 10 years;

total duration of work will be; ( 20 + 10) years = 30 years

Average salary per year = $76,908

Total salary in 30 years will be; $76,908 × 30 = $2,307,240

Hospital rate benefits = 2%

So, total annual disability benefit will be;

⇒ 2% of Total salary in 30 years

⇒ 2/100 × $2,307,240

= $46,114.8

Therefore, Herman Melville's annual disability benefit is $46,114.8

4 0

3 years ago

William wants to keep his debt-to-income ratio at the recommended 15% orlower William's house payment is

3241004551 [841]

9514 1404 393

Answer:

about $171,400

Step-by-step explanation:

William's total monthly debt is ...

$1012.84 +579.13 +250 +300 = 2141.97

On an annual basis, this is ...

12 × $2141.97 = $25,703.64

This will be 15% of (25703.64/0.15) = $171,357.60.

William's new annual salary should be about $171,400 to keep his debt ratio at the recommended 15%.

_____

<em>Additional comment</em>

A debt ratio of 15% is a pretty aggressive target. Most mortgage lenders like to see the "front end" ratio (housing expense) less than 28%, and the "back end" ratio (all debt) less than 36%.

4 0

3 years ago

Assume that the total revenue received from the sale of x items is given by, R(x)equals34 ln (4 x plus 5 ), while the total c

katen-ka-za [31]

Answer:

63 units

Step-by-step explanation:

The profit function P(x) is given by the revenue function minus the cost function:

$P(x) = R(x) - C(x)\\P(x) = 34ln(x+5)-\frac{x}{2}$

The number of units sold 'x' for which the derivate of the profit function is zero, is the number of units that maximizes profit:

$P(x) = 34ln(x+5)-\frac{x}{2}\\P'(x) =0= \frac{34}{x+5}-\frac{1}{2}\\x+5=68\\x=63\ units$

The number of units that should be manufactured so that profit is maximum is 63 units.

5 0

3 years ago