On federal income tax returns, self-employed people can depreciate the value of business equipment. Suppose a computer valued at $2765 depreciates at a rate of 30% per year. Estimate the number of years it will take for the computer's value to be less than $350.

Answers

Answer 1
Answer: After 6 years and with a depreciation rate of 30%, the computer's book value would be less than $350. 


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The sum of the first and third of three consecutive even integers is 154. Find the three even integers.

Answers

x + (x+2) = 154
combine like terms
2x + 2 = 154
subtract 2
2x = 154
divide by 2
x = 76

so the two numbers are 76 and 78

Jaycie has a VIP membership to a movie theater, so she pays 27 dollars a year and 6.00 for each movie she sees. Claire doesn't have a membership, so she pays 8.25 for each movie she sees. How many movies would they have to see in a year in order to pay the same amount?

Answers

Answer:

12 movies

Step-by-step explanation:

Let the number of movies they see be represented by x

Jaycie has a VIP membership to a movie theater, so she pays 27 dollars a year and 6.00 for each movie she sees.

$27 + $6 × x

= 27 + 6x

Claire doesn't have a membership, so she pays 8.25 for each movie she sees.

= $8.25 × x

= 8.25x

How many movies would they have to see in a year in order to pay the same amount?

Jaycie = Claire

27 + 6x = 8.25x

27 = 8.25x - 6x

27 = 2.25x

x = 27/2.25

x = 12 movies

Therefore, they have to see 12 movies in a year in order to pay the same amount.

It is given that A = {1, 2, 3, 4, 7} and B = {2, 4, 8, 10).
(i) List all the elements in A∩B in set notation.
(ii) Draw a Venn diagram to represent the sets A and B. ​

Answers

Answer:

(i) A∩B = {2,4}

(ii) I don't know how to attach pictures in brainly so i can't send the veen diagram

Which pair of numbers is relatively prime? A.
18 and 45

   B.
26 and 91

   C.
10 and 33

   D.
14 and 63

Answers

Pair of numbers is relatively prime when numbers do not share factors except for 1.
The answer is C because:
10 can be divided by 1,2,5,10
33 can be divided by 1,3,11,33
Hope it helped :)

If the simple interest on 7000​$ for 8 years is ​3920$​, then what is the interest​ rate?

Answers

Answer:

7000(r)(8)=3920

Step-by-step explanation:

just put that down a calculator I to lazy to solve it

Answer:

7%

Step-by-step explanation:

find the volume of a 4 ft by 2 ft by 3 ft rectangular prism with a cylindrical hole, radius 6 in., through the center

Answers

V = lwh - πr²h
V = (4)(2)(3) - 3.14(¹/₂)²(3)
V = (8)(3) - 3.14(¹/₄)(3)
V = 24 - 3.14(³/₄)
V = 24 - 2.355
V = 21.645 ft³
V = 259.74 in³