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Scrat [10]
3 years ago
13

Monique Montez earns a 3.5 percent commission on all sales. She also receives a $500 bonus if her commission exceeds $4,000. Her

total sales were $82,500. What was her total pay?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0

Answer:

Her total pay is 2,887.50 since she did not make over 4000$ she will not receive the extra 500$ bonus

Step-by-step explanation:

82,500 X 3.5% = 2,887.50

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What is the slope of the line passing through the points (0, 4) and (-8, -1)?
Bas_tet [7]

Answer:

0.625

Step-by-step explanation:

Given the points :

(0, 4) and (-8, -1)

x1 = 0 ; y1 = 4

x2 = - 8 ; y2 = - 1

Slope, m = rise / run

Rise = y2 - y1 = - 1 - 4 = - 5

Rise = x2 - x1 = - 8 - 0 = - 8

The slope, m = - 5 / - 8

Slope, m = 0.625

7 0
3 years ago
Solve for b. Express your answer as an integer or integers or in simplest radical form. -165= -3-6b^3
Fynjy0 [20]
I wanna help you but I don’t understand sorry
4 0
2 years ago
What is the minimum number of clients the travel agent should survey? Note that z=1.96 for a 95% confidence interval.
slega [8]

Answer:

121

Step-by-step explanation:

Given data as per the question

Standard deviation = \sigma = 840

Margin of error = E = 150

Confidence level = c = 95%

For 95% confidence, z = 1.96

based on the above information, the minimum number of clients surveyed by the travel agent is

n = (\frac{z\times \sigma}{E})^2

=  (\frac{1.96\times 840}{150})^2

= 120.47

= 121

hence, the 121 number of clients to be surveyed

Therefore we applied the above formula to determine the minimum number of clients

4 0
3 years ago
A new factory in a small town has an annual payroll of ​$ million. It is expected that of this money will be spent in the town b
cluponka [151]

Answer:

I would say a millions dollars!

Step-by-step explanation:

8 0
3 years ago
) f) 1 + cot²a = cosec²a​
notsponge [240]

Answer:

It is an identity, proved below.

Step-by-step explanation:

I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.

First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).

\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}

csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.

\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}

Another identity is:

\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}

Therefore:

\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}

Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.

\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}

Another identity:

\displaystyle \large{\sin^2x+\cos^2x=1}

Therefore:

\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}

Hence proved, this is proof by using identity helping to find the specific identity.

6 0
3 years ago
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