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levacccp [35]
3 years ago
6

Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years

Mathematics
1 answer:
MatroZZZ [7]3 years ago
8 0

Answer:

$14,555.17

Step-by-step explanation:

initial investment, p = $8,000

rater, r = 6% = 0.06

Number of times compounded yearly = 12

Time, t = 10 years

Amount, A = p(1 + r/n)^tn

A = 8000(1 + 0.06/12)^10*12

A = $14,555.17

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3 years ago
The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side
seropon [69]

Answer:

  • 7 feet, 3 feet, 7.5 feet

Step-by-step explanation:

Let the sides be a, b and c.

<h3>Given</h3>

The length of one side of a triangle is 2 feet less than three times the length of its second side

  • a = 3b - 2

The length of the third side is 3/4 of the sum of the lengths of the first two sides:

  • c = (3/4)(a + b)

The perimeter of the triangle is 17.5 feet:

  • a + b + c = 17.5

<h3>Solution</h3>

Substitute a with b in the second equation:

  • c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5

Now substitute a and c with b in the third equation and solve for b:

  • a + b + c = 17.5
  • 3b - 2 + b + 3b - 1.5 = 17.5
  • 7b - 3.5 = 17.5
  • 7b = 17.5 + 3.5
  • 7b = 21
  • b = 3

Find the value of a:

  • a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7

Find the value of c:

  • c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5

The sides of the triangle are:

  • a = 7 feet, b = 3 feet, c = 7.5 feet

8 0
1 year ago
A new cruise ship line has just launched 3 new​ ships: the Pacific​ Paradise, the Caribbean​ Paradise, and the Mediterranean Par
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the number that Caribbean has will be (x+18)
the number that Mediterranean has will be (3x-25)
total b=number of deluxe in the 3 ships will be:
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x=187
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3 years ago
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olganol [36]

Answer:

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Step-by-step explanation:

x= the number of hours used

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3 years ago
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