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Sauron [17]
3 years ago
11

500 principal earning 3% compound monthly, after 10 years.

Mathematics
1 answer:
mamaluj [8]3 years ago
4 0

Answer:

D. $674.68

Step-by-step explanation:

We will use the well known equation for compound interest

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

Where

  • A is the final total
  • P is the principal amount (starting total)
  • r is the interest rate as a decimal
  • n is the number of times the interest is compounded each year
  • t the number of years

Plugging in what we know from the question:

A = 500(1+\frac{0.03}{12})^{12 \times 10}\\A = 500(1.34935355)\\A = 674.68

So the answer is D.

Hope this helps!

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Answer:

Horizontal translation of the parent graph

Step-by-step explanation:

<h2><u>Definitions</u>:</h2>

In the <u>vertex form</u> of a quadratic function, f(x) = a(x - h)² + k, where:

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In the graph of g(x) = (x + 12)², the <u>vertex</u> occurs at point (-12, 0).

While the <u>vertex</u> of the parent graph, f(x) = x² occurs at point, (0, 0).

<h2><u>Answers</u>:</h2>

Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (<em>h</em>, <em>k </em>) into the vertex form will result into:

g(x) = a(x - h)² + k

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g(x) = (x + 12)²

Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is <em>horizontally</em> translated 12 units to the left.  

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