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Dafna1 [17]
3 years ago
13

ralph earns $72,000 annually as an architect and is paid semimonthly. alice also ers $72,000 but she is paid biweekly. how many

more checks does alice recieve in a year when compared to ralph?
Mathematics
1 answer:
alex41 [277]3 years ago
6 0

We have been given that Ralph earns $72,000 annually as an architect and is paid semimonthly.

Semimonthly means twice in a month. There are 12 months in a year.

Therefore, in a year Ralph gets

12\times 2 = 24 \text{ checks}

Now, Alice also earns $72,000 but she is paid biweekly.

Biweekly means twice a week. There are 52 weeks in a year.

Therefore, in a year Alice gets

52\times 2 = 104 \text{ checks}

The difference in the number of checks is 104 - 24 = 80

Thus, Alice receives 80 more checks in a year when compared to Ralph.

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maria saves $25.00 a month and her sister Luisa saves $37.50 a month. How many months will it take for Luisa to save exactly $10
damaskus [11]
37.50 -25.00= 12.50 so Luisa makes 12.50 more a month than Maria. Divide 100/12.5 = 8. It will take Maria 8 months to be exactly $100 ahead of Luisa.
3 0
3 years ago
HURRY 20 POINTS!!!!! Given the geometric sequence an = 6(5)n − 1, which of the following values for n lies in the appropriate do
Lapatulllka [165]
<h2>Answer:</h2>

n = 1

<h2>Explanation:</h2>

Here we have the following Geometric Sequence:

a_{n} = 6(5)^{n-1}

Where:

a=6 \ \text{First term} \\ \\ r=5 \ \text{Common ratio} \\ \\ n: \ \text{Number of terms}

The first term occurs when n=1. Next the second term occurs when n=2, the third term when n=3 and so on. Therefore, the appropriate value of n that lies on the domain for n is n=1

7 0
3 years ago
What is the answer to this question?
kenny6666 [7]

Answer:

From the information we can conclude that the triangle is a isosceles triangle.

First, we can calculate the hypotenuse by using pythagorean theorem:

√(6² + 6²) = √(36 + 36) =√64 = 8 (cm)

To calculate the area of the triangle, we first need to know the height of it.

Since this is a isosceles triangle, the altitude (which is also the height) will also  be the median of that triangle.

Then we also have a 90° angle, this triangle is also a right triangle, and in right triangle, the median will equal half of the hypotenuse.

From the reasoning above, we can now calculate the height of the triangle:

8/2 = 4(cm)

The area of the triangle should be:

S = hb/2 = (4 . 6)/2 = 12 (cm²)

8 0
3 years ago
What is an equation of the line that is parallel to y=3x-8 and passes through the point, (4,-5)
VladimirAG [237]

Answer:

y= 3x-17

Step-by-step explanation:

When finding a parallel equation to y=mx+b, mx will always stay the same. So we have to find b.

In order to do this you plug the parallel lines passing point into the equation.

-5(y) goes into the y's spot. 4(x) goes into the x's spot.

-5 = 3 x 4 + b

-5 = 12 + b

-5 - 12 = 12 - 12 + b

-17 = b

y=3x-17

5 0
3 years ago
A trail has markers every 1/8 mile. Jody starts at the 2 1/4 mile marker, hikes to the 4 3/8 marker, and then hikes back to the
vlada-n [284]
Yes I think so because she started at 2 1/4 then hiked to 4 3/8. That is roughly 2 miles and then from there she joked all the way back to 11/2? But I could be wrong?????
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