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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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An Investment of $10,000 yields 8% interest compounded quarterly.  The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

  • The principal amount of investment = $10,000
  • Interest Rate = 8% = 0.08
  • number of times it get compounded = 4

a. we are to determine the amount of the accumulated capital after 6 months.

  • i.e. when time (t) = 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}

\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}

\mathbf{A = 10000(1.02)^2}}

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

  • i.e. when time (t) = 5 years

\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}

\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}

\mathbf{A = 10000(1.02)^20}}

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound  interest here:

brainly.com/question/14295570?referrer=searchResults

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Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not drawn to scale. 48 40 32 44      
swat32
check the picture below

\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h}{2}(a+b)\qquad 
\begin{cases}
h=height\\
a,b=\textit{parallel sides}\\
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h=4\\
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Answer:

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Step-by-step explanation:

Hope this helps a bit :)

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Goshia [24]
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First, 
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Third, switch sides. Your problem should look like v = 18, which is the correct answer.
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