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timofeeve [1]
2 years ago
12

WILL GIVE BRAINLIEST !!

Mathematics
1 answer:
11111nata11111 [884]2 years ago
8 0

A man needs to deposit $889 each year into the account in order to have $30,000 saved up.

Given that, future value = $30000, n = 17 years and r = 8%.

<h3>What is the future value?</h3>

The future value simple interest formula is the addition of the principal amount that we have in the beginning and the interest earned on that principal amount after the completion of the period.

Future \ value = Annuity \times (\frac{(1+r)^n-1}{r} )

Now, 30000 = Annuity \times (\frac{(1+0.08)^{17}-1}{0.08} )

⇒ 30000 = Annuity \times (\frac{(1.08)^{17}-1}{0.08} )

⇒ 30000 = Annuity × (3.7-1)/0.08

⇒ 30000 = Annuity × 33.75

⇒ Annuity = 30000/33.75

⇒ Annuity = 888.88

⇒ Annuity = $889

Therefore, a man needs to deposit $889 each year into the account in order to have $30,000 saved up.

To learn more about the future value visit:

brainly.com/question/14860893.

#SPJ1

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Which equation is related to StartRoot x + 10 EndRoot minus 1 = x?
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Answer:

A

Step-by-step explanation:

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4 years ago
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A 10 foot tree create a shadow that is 15 feet long. Find the angle of elevation of the sun
Solnce55 [7]

Answer:

The angle of elevation of the sun is 33.7⁰

Step-by-step explanation:

let the height of the tree, T = 10 foot

length of the shadow created by the tree, B = 15 feet long

Height of the tree and the shadow of the tree forms a right angle triangle with the remaining side that joins the two which is known as hypotenuse.

Let the remaining side, hypotenuse, L = ?

Apply Pythagoras theorem;

L ² = T² + B²

L ² = 10² + 15²

L ² = 325

L = √325

L = 18.03 ft

The angle of elevation of the sun, is the angle facing the height of the tree with the length of the shadow of the tree as adjacent of the triangle.

Let the angle of elevation = θ

tan θ = opp / adj

tan θ  = 10 / 15

tan θ  = 0.66667

θ = tan ⁻¹ (0.66667)

θ = 33.7⁰

Therefore, the angle of elevation of the sun is 33.7⁰

5 0
4 years ago
Helppp me <br> Idk the AWNSER
LekaFEV [45]
The answer to number one is b
4 0
4 years ago
Answer the question in the picture
Svet_ta [14]
<h3>Answer:</h3>
  • left picture (bottom expression): -cot(x)
  • right picture (top expression): tan(x)
<h3>Step-by-step explanation:</h3>

A graphing calculator can show you a graph of each expression, which you can compare to the offered choices.

_____

You can make use of the relations ...

... sin(a)+sin(b) = 2sin((a+b)/2)cos((a-b)/2)

... cos(a)+cos(b) = 2cos((a+b)/2)cos((a-b)/2)

... cos(a)-cos(b) = -2sin((a+b)/2)sin((a-b)/2)

Then you have ...

\dfrac{\cos{2x}-\cos{4x}}{\sin{2x}+\sin{4x}}=\dfrac{2\sin{3x}\sin{x}}{2\sin{3x}\cos{x}}=\dfrac{\sin{x}}{\cos{x}}=\tan{x}

and ...

\dfrac{\cos{2x}+\cos{4x}}{\sin{2x}-\sin{4x}}=\dfrac{2\cos{3x}\cos{x}}{-2\cos{3x}\sin{x}}=\dfrac{-\cos{x}}{\sin{x}}=-\cot{x}


6 0
4 years ago
Damien has enough red paint to cover an area, of 36 square meters. the surface area of the playground tunnel he must paint has a
mash [69]
The answer is 1.91 m

It is given:
S = 2 π r l
S = 36 m²
r = 3 m
l = ?
π = 3.14

So, let's just solve this:
36 = 2 · 3.14 · 3 · l
36 = 18.84 · l
⇒ l = 36 ÷ 18.84
⇒ l ≈ 1.91 m
3 0
4 years ago
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