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3 years ago

how long will it take for an investment of 2000 to double given an annual interest rate of 6% compounded monthly

Mathematics

1 answer:

Agata [3.3K]3 years ago

5 0

It will take about 16.66 months for the investment to double.
Hope this helps.

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Which expression is equivalent to x-3x-(-5x)?

Katena32 [7]

Answer:

Step-by-step explanation:

x-3x-(-5x)=-2x+5x=3x

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2 years ago

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32 is 90% of what number?

spayn [35]

Answer:

$\large\boxed{32\ is\ 90\%\ of\ 35\dfrac{5}{9}}$

Step-by-step explanation:

<h3>METHOD 1:</h3>

$\begin{array}{ccc}32&-&90\%\\\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\90x=3200\qquad\text{divide both sides by 90}\\\\x=\dfrac{3200}{90}\\\\x=\dfrac{320}{9}\\\\x=35\dfrac{5}{9}$

<h3>METHOD 2:</h3>

$\begin{array}{cccc}32&-&90\%&\text{divide both sides by 9}\\\\\dfrac{32}{9}&-&10\%\end{array}\\\\\\90\%+10\%=100\%\to32+\dfrac{32}{9}=32+3\dfrac{5}{9}=35\dfrac{5}{9}$

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2 years ago

A state conservation agency reports that there are currently 3000 deer in a forest. The agency also reports that the deer popula

GrogVix [38]

Do you have a picture of the problem

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2 years ago

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What is the common ratio for the geometric sequence? 32, 8, 2, 12, ... Enter your answer in the box.

mamaluj [8]

Answer:

Given sequence is not a geometric progression and there will be no common ration for this sequence.

Step-by-step explanation:

Need to determine common ration for the following geometric sequence

32, 8, 2, 12, ...

In given geometric sequence

a1 = 32, a2=8, a3=2, a4=12 ……….

Common ratio = $\frac{a_2}{a_1} =\frac{a_3}{a_2} =\frac{a_4}{a_3}$

$\frac{a_2}{a_1}=\frac{8}{32}=\frac{1}{4}$

$\frac{a_3}{a_2} =\frac{2}{8}=\frac{1}{4}$

$\frac{a_4}{a_3}=\frac{12}{2}=6$

Since $\frac{a_2}{a_1}=\frac{a_3}{a_2}\neq\frac{a_4}{a_3}$ so we can say that given sequence is not a geometric progression and there will no no common ration for this sequence.

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3 years ago

Evaluate (2 - 5i)(p + q)i when p = 2 and q = 5i<br>a. 29i<br>b. 291-20<br>C.-21i<br>d.29

attashe74 [19]

Answer:

A. 29i

Step-by-step explanation:

Step 1: Plug in given variables

(2 - 5i)(2 + 5i)i

Step 2: Difference of squares (expand)

(4 - 25i²)i

Step 3: Imaginary numbers rules

(4 - 25(-1))i

Step 4: Combine like terms

(4 + 25)i

(29)i

Your final answer will be 29i

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2 years ago

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