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Paul [167]
3 years ago
8

Heather made a total of $451.78 last month at her part-time job. If she worked 14 hours, how much did she make per hour?

Mathematics
1 answer:
Step2247 [10]3 years ago
3 0
The amount of money divided by the amount of hours will give you how much money she makes per hour.

451.78/14=32.27.

She earned $32.27 per hour.
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natima [27]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
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Orlando has a loan with an effective interest rate of 7. 918%, compounded annually. Which of the following must be true? I. In t
svetlana [45]

The correct option is B,  II. only.

Given to us,

I. In the effective rate formula, n is equal to one.

Effective interest rate formula,

r = (1 + \dfrac{i}{n} )^n - 1.

where,

r is the effective interest rate,

i is the stated interest rate,

n is the number of compounding periods per year.

According to the question the compounding periods per year is not given to us. Also, loans are taken for a longer period of time.

Thus, we can conclude that statement is false.

II. The nominal rate is 7. 918%.

nominal rate = real interest rate + inflation rate,

but as it is not mentioned in the question about the inflation rate. the statement is true to us. Assuming the inflation rate is 0%.

Thus, we can conclude that statement is true.

III. The Federal Funds Rate is static.

This statement is false, as the no information is given about this statement also this can not be concluded through assumption.

Thus, we can conclude that statement is false.

Hence, The correct option is B,  II. only.

To know more visit:

brainly.com/question/15846526

4 0
3 years ago
Write the slope intercept form of an equation with a slope of 5 and y-intercept of -4
Delvig [45]

Answer:

y = 5x - 4

Step-by-step explanation:

5 is the slope so it goes in front of the x and -4 is the y Intercept so it goes last.

5 0
3 years ago
Solve sin 0 + 1 = cos20 on the interval 0 ≤ 0 &lt; 2pi. Show work please!
yan [13]

Answer:

\theta=\frac{\pi}{2},\frac{3\pi}{2}\frac{2\pi}{3}\frac{4\pi}{3}

Step-by-step explanation:

You need 2 things in order to solve this equation:  a trig identity sheet and a unit circle.

You will find when you look on your trig identity sheet that

cos(2\theta)=1-2sin^2(\theta)

so we will make that replacement, getting everything in terms of sin:

sin(\theta)+1=1-2sin^2(\theta)

Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:

2sin^2(\theta)+sin(\theta)=0

We can factor out the sin(theta), since it's common in both terms:

sin(\theta)(2sin(\theta)+1)=0

Because of the Zero Product Property, either

sin(\theta)=0 or

2sin(\theta)+1=0

Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi.  They are:

\theta=\frac{\pi}{2},\frac{3\pi}{2}

The next equation needs to first be solved for sin(theta):

2sin(\theta)+1=0 so

2sin(\theta)=-1 and

sin(\theta)=-\frac{1}{2}

Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval.  They are:

\theta=\frac{2\pi}{3},\frac{4\pi}{3}

7 0
3 years ago
Need this answer please help
HACTEHA [7]

Answer:


Step-by-step explanation:

non linear because linear has always to the first power


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