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Assoli18 [71]
3 years ago
12

Chris received $50,000 from his grandparents as a graduation gift. So, he has decided to invest the money

Mathematics
1 answer:
GenaCL600 [577]3 years ago
7 0

Answer: $7142.86

Step-by-step explanation:

Let the amount to be invested in the bond be represented by y.

Based on this, the amount to be invested in the CD will be: = 50000 - y.

From the information given, yearly interest on bond is 12%, this will be:

= 12% × y = 0.12 × y = 0.12y

Also, interest on CD will be:

= 5% × (50000 - y)

= 0.05(50000 - y)

Then, the equation to get the amount to be invested in bond will be:

0.12y + 0.05(50000 - y) = 3000

0.12y + 2500 - 0.05y = 3000

0.12y - 0.05y = 3000 - 2500

0.07y = 500

y = 500/0.07

y = 7142.8571

y = 7142.86

The amount to be invested in bond will be $7142.86

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Answer:

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Step-by-step explanation:

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3 years ago
Solve Systems by Substitution<br> 2x+5y=-3<br> x+8y=4<br> and<br> 2x+y=7<br> x-2y=-14
ASHA 777 [7]
2x + 5y = -3 ⇒ 2x +   5y = -3 
1x + 8y =  4 ⇒ <u>2x + 16y = 8
</u>                               -<u>11y</u> = <u>-11 </u>
                                -11     -11
                                    y = 1
                        2x + 5(1) = -3
                            2x + 5 = -3
                            <u>      -5     -5</u>
                                  <u>2x</u> = <u>-8</u>
                                   2      2
                                    x = -4
                              (x, y) = (-4, 1)

2x + 1y = 7     ⇒ 2x + 1y = 7
1x -  2y = -14 ⇒ <u>2x  - 4y  = -28</u>
                                   <u>5y</u> = <u>35</u>
                                    5      5
                                     y = 7
                             2x + 7 = 7
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                                    2     2
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                              (x, y) = (0, 7)
4 0
3 years ago
Contains the point (-1, 2) and is parallel to<br> x – 2y = -3
ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = \frac{1}{2} x + \frac{3}{2} ← in slope- intercept form

with m = \frac{1}{2}

• Parallel lines have equal slopes, thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - \frac{1}{2} + c ⇒ c = 2 + \frac{1}{2} = \frac{5}{2}

y = \frac{1}{2} x + \frac{5}{2} ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

4 0
3 years ago
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Answer:

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Now we take square root on both sides,

\sqrt{387.75} =\sqrt{h^2}\\19.69=h\\h=19.7\ ft\\

so the value of h equals 19.7 ft.

6 0
3 years ago
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disa [49]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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