Which expression is equivalent to −30+(−40)+(−70) ?

Mathematics

1 answer:

lukranit [14]3 years ago

5 0

Answer:

−30+(−40)+(−70) = -140

Step-by-step explanation:

−30+(−40)+(−70) = -140

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Cynthia was offered two different jobs for the summer. working as a camp counselor, she will earn $15 per hour plus an additiona

Natali [406]

The value of the composite function (f - g)(x) is 5x - 25

<h3>How to determine the function (f - g)(x)?</h3>

The function definitions are given as:

f(x) = 15x + 25

g(x) = 10x + 50

The function (f - g)(x) is calculated using

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = 15x + 25 - 10x - 50

Evaluate the like terms

(f - g)(x) = 5x - 25

Hence, the value of the composite function (f - g)(x) is 5x - 25

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<u>Complete question</u>

Cynthia was offered two different jobs for the summer. working as a camp counselor, she will earn $15 per hour plus an additional $25 bonus. her earnings after x hours can be represented by the function f(x) = 15x + 25. working as a lifeguard, Cynthia will earn $10 per hour and an additional $50 bonus. her earnings after x hours can be represented by the function g(x) = 10x + 50. the arithmetic operation (f - g)x can be used to determine the difference in the salary Cynthia will earn working as a camp counselor instead of a lifeguard after x hours. what is the function (f - g)x?

7 0

9 months ago

Principal $4,700 Interest rate 4% time 10 months, what is the simple interest and maturity level?

Naddik [55]

The simple interest of $4,700 principal at 4% interest and 10 months is <u>$156.67</u> and its <u>maturity level</u> is <u>83%</u>.

<h3>What is simple interest?</h3>

Simple interest refers to the interest calculated only on the principal.

With the simple interest method, the borrower only pays interest on the principal without considering the previously-accumulated interests.

<h3>Data and Calculations:</h3>

Principal = $4,700

Interest rate = 4%

Period = 10 months

Simple interest = $156.67 ($4,700 x 4% x 10/12)

Thus, the simple interest of $4,700 principal at 4% interest and 10 months is <u>$156.67</u> and its <u>maturity level</u> is <u>83%</u>.

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2 years ago

Triangle FGH has the following side lengths: FG = 5 ft, GH = 10 ft, HF = 12 ft Triangle PQR is similar to triangle FGH. The long

7nadin3 [17]

The first thing we must do for this case is find the scale factor.
We have then that for the larger side of both triangle, the scale factor is:
$k = \frac{RP}{HF}$
$k = \frac{7.2}{12}$
$k = 0.6$
To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
We have then:

For PQ
$PQ = k * FG

PQ = 0.6 * 5

PQ = 3$

For QR
$QR = k * GH

QR = 0.6 * 10

QR = 6$

Answer:
You have that the lengths for the other two sides of triangle PQR are:
$PQ = 3

QR = 6$