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kherson [118]
3 years ago
13

Kyle has ​$1 comma 000 in cash received for high school graduation gifts from various relatives. He wants to invest it in a cert

ificate of deposit​ (CD) so that he will have a down payment on a car when he graduates from college in five years. His bank will pay 1.5​% per​ year, compounded​ annually, for the​ five-year CD. How much will Kyle have in five years to put down on his​ car?
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0

Answer:

$1077.283

Step-by-step explanation:

When complete the first year the amount will be:

1000 * 1.015= 1015

1.015 because the rate is added to the initial amount, that is: 100%+1.5% = 1 + 0.015= 1.015

When complete the second year the amount will be the last year amount adding the rate interest:

1015*1.015=1030.225.

To the third year:

1030.225*1.015=1045.678

To the fourth year:

1045.678*1.015=1061.363

To the fifth year:

1061.363*1.015=1077.283

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What is the value of X? Make sure to show all of your work! Hint: What does each angle measure in an equilateral triangle? You d
Bogdan [553]
Answer: X = 9

Show Your Work:
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3 years ago
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Luden [163]

Answer:

x = -10

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   36 - 4.5x + 36 = 102 - 7.5x - 60
  2. Combine like terms:                   -4.5x + 72 = -7.5x + 42
  3. Add 7.5x on both sides:             3x + 72 = 42
  4. Subtract 72 on both sides:        3x = -30
  5. Divide 3 on both sides:              x = -10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
  2. Simplify:                               4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
  3. Multiply:                               4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
  4. Add:                                     4.5(18) + 36 = 102 - 2.5(-6)
  5. Multiply:                               81 + 36 = 102 + 15
  6. Add:                                     117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

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Second Box:

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Step-by-step explanation:

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