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Sonbull [250]
3 years ago
15

Mark needs $26,700 to purchase a boat. How much money will he need to invest today in a savings account earning 4.6% interest, c

ompounding quarterly, to have enough money to purchase the boat in 12 years? (2 points)
$3,083.12

$15,422.28

$22,220.50

$25,266.90
The correct answer is $15,422.28, I just need the work to solve it. Can anyone help me please?
Mathematics
1 answer:
poizon [28]3 years ago
8 0

Answer:

  • $15422.28

Step-by-step explanation:

  • Future value FV = $26700
  • Interest rate r = 4.6% = 0.046 per annum compounded
  • Compound number n = 4 per year
  • Time t = 12 years
  • Initial amount P = ?

<u>Use formula for future value, solve for P:</u>

  • FV = P*(1 + r/n)^(nt)
  • 26700 = P(1 + 0.046/4)^(12*4)
  • P = 26700 / 1.0115^48
  • P = 15422.28
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3 years ago
Find all solutions to the equation. 2sin theta - squareroot 3 = 0
Xelga [282]

Answer:

\theta =2mπ + π/3 for m ∈ Z.

Step-by-step explanation:

Given the equation 2sin\theta - \sqrt{3} = 0, we are to find all the values of \theta that satisfies the equation.

2sin\theta - \sqrt{3} = 0\\\\2sin\theta = \sqrt{3} \\\\sin\theta = \sqrt{3}/2 \\\\\theta = sin{-1} \sqrt{3}/2 \\\\\theta = 60^0

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If n is an even number say 2m, then \theta = (2m)π + ∝ where ∝ = 60° = π/3

Hence, the general solution to the equation will be \theta = 2mπ + π/3 for m ∈ Z.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B11%7D%7B7%7D%20%20%5Cdiv%20%20%5Cfrac%7B7%7D%7B10%7D%20" id="TexFormula1" title="
AysviL [449]

11/7÷7/10

=11/490

Hope this helps!

6 0
3 years ago
Read 2 more answers
What is the answer ‼️
alina1380 [7]

Answer:

B

Let me know if you would like me to explain it to you

7 0
3 years ago
QUICK ANSWER PLEASE Using only one variable, and write an algebraic expression, equation, or inequality for each (don’t solve):
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Answer:

Step-by-step explanation:

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B. x+y

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