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3 years ago

3. The yearly profits of a company is $5,000. The profits have been decreasing by 6% per year.

Mathematics

1 answer:

natka813 [3]3 years ago

6 0

Answer:

5000 X (0.96)^n

$3607

Step-by-step explanation:

Profit decreases at a rate of 6% per year = 100 - 6 = 96%

In year 1, profit would be = 5000 x 0.96 = 4800

In year 2 = 5000 x 0.96^2 =

5000 X (0.96)^n

5000 X (0.96)^8 = $3607

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The expression 6+16k factored using the GCF is what???????

tatiyna

Answer:

2(3 + 8k)

Step-by-step explanation:

given : 6+16k

note that the GCF of 6 and 16 is 2, hence we can factor 2 out of the expression

6+16k

= (2)(3) + (2)(8k)

= 2(3 + 8k)

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3 years ago

Write (27a^-3)^-2/3 in simpleset form

Luden [163]

Answer:

a²/9

Step-by-step explanation:

(27a⁻³) (-⅔) = 27^(-⅔) × (a⁻³)^(-⅔)

= (3³)^(-⅔) × a²

= 3⁻²a²

= a²/9

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3 years ago

Read 2 more answers

The perimeter of an isosceles triangle is 32 inches. If the base is longer than half of the two other equal sides by 2 inches, f

Leona [35]

Answer:

Step-by-step explanation:

Let equal sides of an isosceles triangle = a inches

Base = $\frac{1}{2}a+2$ inches

Perimeter = 32 inches

a + a + $\frac{1}{2}a+2$ = 32

$2a + \frac{1}{2}a+2 = 32\\\\\frac{2a*2}{1*2}+\frac{1}{2}a+2=32\\\\\frac{4a}{2}+\frac{1}{2}a+2=32\\\\\frac{5}{2}a+2 = 32\\\\$

Subtract 2 from both sides

$\frac{5}{2}a=32-2\\\\\frac{5}{2}a=30\\\\a=30*\frac{2}{5}\\\\a=6*2$

a = 12 inches

base = $\frac{1}{2}*12+2$

= 6 + 2

Base = 8 inches

6 0

3 years ago

Mr. Thompson, a retiree, looks at his check register.

sukhopar [10]

As given,

Weekly rent of Mr. Thomson is = $104.92

Part A: What is Mr. Thompson's yearly rent (using 52 weeks)?

Rent for 1 week = 104.92

Rent for 52 weeks = $104.92\times52$ = $5455.84

Part B: What was the average grocery expense in this time period?

Mr. Thomson purchased groceries on 2/18 for $33.45 and on 3/5 for $28.56

Hence average grocery expense is = $\frac{33.45+28.56}{2}$

= $31 per week or $62.01 per month

Part C: Mr. Thompson estimates his yearly expense for groceries to be:

The monthly expense for groceries is = $62.01

So yearly expense will be = $62.01\times12$ = $744.12

4 0

3 years ago

Find the area of the shaded region in the figure below. 5in. 8in.

Fiesta28 [93]

Hi there!

Answer:

The area of the shaded region is 28 in²

Step-by-step explanation:

You will have to do 3 different steps in order to find the area of the shaded region.

First, you will need to find the total area of the rectangle using the values you have and the area formula for a rectangle, which is : A = Length × Width

"A" is the area, which is what we are looking for

The "Length" is equal here to 8 inches

The "Width" is equal here to 5 inches

A = 8 × 5

A = 40 in²

Now that you have the area of the rectanlge, your second step is to find the area of the triangle using the values you have and the area formula for a triangle, which is : A = (Base × Height) ÷ 2

"A" is the area, which is what we are looking for

The "Base" is equal here to 8 inches

The "Height" is equal here to 3 inches

A = (8 × 3) ÷ 2

A = 24 ÷ 2

A = 12 in²

Now that you have both the area of the rectangle and the area of the triangle, all you have to do for your third and final step is subtract the area of the triangle from the area of the rectangle so that you are left with the area of the shaded region :

Area shaded region = 40 in² - 12 in²

Area shaded region = 28 in²

There you go! I really hope this helped, if there's anything just let me know! :)

6 0

3 years ago