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BabaBlast [244]
4 years ago
15

Can you solve these and explain. 4x + 6 < -6. - 2/5 x-9 < 9/10

Mathematics
1 answer:
Elena L [17]4 years ago
3 0

4x + 6 < -6

subtract 6 from each side

4x < -12

divide by 4

x < -3


- 2/5 x-9 < 9/10

multiply each side by 10 to get rid of the fractions

10*(- 2/5 x-9) < 10*9/10

distribute

-4x -90 <9

add 90 to each  side

-4x < 99

divide by -4 (which flips the inequality)

x> -99/4

x> -24 3/4

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Answer:

The APR of the loan was 18.30%.

Step-by-step explanation:

Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:

3,000 = 100

(73.94 x 48) = X

3,000 = 100

3,549.12 = X

3,549.12 x 100 / 3,000 = X

354,912 / 3000 = X

118.30 = X

118.30 - 100 = 18.30

Therefore, the APR of the loan was 18.30%.

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3 years ago
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write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression) that ha
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Step-by-step explanation:

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2 years ago
Find the equation of the line with m = 2 and passes through the point ( 4 , − 5 ) . Write your answer in standard form A x + B y
Rudiy27

Answer:

2x - y = 13

Step-by-step explanation:

To write the equation of a line use the formula y - y_1 = m(x-x_1).

Substitute m = 2 and (4,-5).

y --5 = 2(x-4)\\y + 5 = 2(x - 4)\\y + 5 = 2x - 8\\y = 2x -13\\-2x + y = -13\\2x - y = 13

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3 years ago
Find the angle of elevation, , correct to decimal places, from the roof of the smaller building to the roof of the larger buildi
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The angle of elevation for the given figure will be 68.198°.

<h3>What is a trigonometric function?</h3>

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

Given the figure is making a right-angle triangle with a base of 10m and a height of 45 - 20 = 25 m

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Hence "The angle of elevation for the given figure will be 68.198°".

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brainly.com/question/14746686

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