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elixir [45]
2 years ago
5

What is the equivalent amount in year ten of an expenditure of $5,000 in year one, $6,000 in year two, and amounts increasing by

$1,000 per year through year ten?
Mathematics
1 answer:
Archy [21]2 years ago
3 0

Answer:

The correct answer is the equivalent amount is $139,059.41

Step-by-step explanation:

According to the scenario, the computation of the equivalent amount in year ten is shown below;

= $5,000 × (P/A, 10%,10) + $1,000 × (P/G, 10%,10)

= $5,000 × 6.1466 + $1,000 × 22.8913

= $30,723 + $22,891.30

= $53,614.30

Now the equivalent amount is

= $53,614.30 × (F/P, 10%,10)

= $53,614.30 × 2.5937

= $139,059.41

Hence, the equivalent amount is $139,059.41

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lin has 8 green apples and 2 red apples .if he slices the green apples in eighths ,how many apple slices will he have ?
lutik1710 [3]
64 because each apple is sliced into 8ths and there are 8 apples so 8x8=64
3 0
3 years ago
If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)<br>​
Ipatiy [6.2K]

<u>EXPLANATION</u><u>:</u>

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

<u>Answer</u> : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ?

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if cos θ -sin θ =1, find θ cos θ +sin θ?

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7 0
2 years ago
four plastic bottles, each with a radius of 2 inches, are packed into a cardboard box. The glasses touch each other and the side
shepuryov [24]

The area of a 2D form is the amount of space within its perimeter. The area of the bottom of the box is 64 square inches.

<h3>What is an area?</h3>

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.

Given the radius of the base of the plastic bottle is 2 inches, and there are four bottles arranged as shown below, therefore, the area of the bottom of the box is,

\rm \text{Area of the bottom of the box} = 8 \times 8 = 64\ in^2

Hence, the area of the bottom of the box is 64 square inches.

Learn more about Area:

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7 0
1 year ago
Write a proof that shows how 45 and 4.5 have a factor of 10. and are similar.
Sidana [21]

Answer: 4.5 x 10 = 45

0.45  x 10 = 4.5

5 0
2 years ago
How do I simplify this
velikii [3]
512x^3 would be the answer 
7 0
3 years ago
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