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-BARSIC- [3]
3 years ago
8

Complete the​ table, for the following​ investments, which shows the performance​ (interest and​ balance) over a​ 5-year period.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

Answer:

After 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in his account.

Step-by-step explanation:

Since Suzanne deposits $ 4000 in an account that earns simple interest at an annual rate of 2%, and Derek deposits $ 4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually., Both for a period of 5 years, to determine how much money each one will have in their account after 5 years, the following calculation must be made:

Suzanne:

((4,000 x 0.02) x 5) + 4,000 = X

(80 x 5) + 4,000 = X

400 + 4,000 = X

4,400 = X

Derek:

4,000 x (1 + 0.02 / 1) ^ 5x1 = X

4,000 x 1.02 ^ 5 = X

4,416.32 = X

Thus, after 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in her account.

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Express the pair of fractions using the least common denominator of the two.<br> 2/3, 1/4
Fed [463]

Answer:

8/12, 3/12

Step-by-step explanation:

Least common multiple for 3 and 4 is 12. So the denominator should be 12.

For the fraction 2/3, multiply the numerator and denominator by 4 so you will get :

2/3 * 4/4 = 8/12

For the fraction 1/4, multiply the number and denominator by 3 so you will get:

1/4 * 3/3 = 3/12

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3 years ago
100 points.<br> Find the surface area of the triangular prism. The unit is cm^2
nikklg [1K]
First we find the area of the two triangles on each side (keep in mind that they are equal/congruent to each other):

(24*10)/2 = 120 cm^2

Then you find the areas of the three rectangles that are left:

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26*19 = 494 cm^2
10*19 = 190 cm^2

Finally, to find the surface area of the prism:

120+120+456+494+190 = 1,380 cm^2

6 0
3 years ago
Read 2 more answers
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AfilCa [17]

\displaystyle\lim_{x\to1}\frac{1-x+\ln x}{1+\cos5\pi x}

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Again, plugging in x=1 returns \dfrac00. Apply the rule once more:

\displaystyle\lim_{x\to1}\frac{-\frac1{x^2}}{-25\pi^2\cos5\pi x}=\frac1{25\pi^2}\lim_{x\to1}\frac1{x^2\cos5\pi x}

Now, in the denominator, when x=1 we get x^2\cos5\pi x=-1, so the limit is -\dfrac1{25\pi^2}.

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3 years ago
Select the simplification that accurately explains the following statement.
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<u>Answer</u>

D


<u>Explanation</u>

9⁽¹/²⁾² =  (9⁽¹/²⁾)²

        = 9¹/² × 9¹/²           (Since the base are the same, we can add the power.)

         = 9⁽¹/² ⁺¹/²⁾

         = 9 ¹

           = 9

The correct simplification is D.

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