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aksik [14]
3 years ago
15

Solve the following equation. Round solution to the tenths place. 29 = с/7.2 C =

Mathematics
1 answer:
expeople1 [14]3 years ago
7 0

Answer:

c = 208.8

Step-by-step explanation:

a. \frac{c}{7.2} =29   <em>To solve for C, you need to get the variable on one side of the equation and the numbers on the other side of the equation.</em>

b.  \frac{c}{7.2} =29   <em>You need to move the 7.2 to the other side. So, </em><em>multiply</em><em> both sides by 7.2, because it's being divided, so multiplying will cancel it out.</em>

c:  c = 29 * 7.2   <em>Then, multiply 7.2 by 29. (The * symbol means multiply)</em>

d.  c. = 208.8   <em>The answer is 208.8, which is rounded to the tenths place.</em>

Hope this helps! I tried to explain it in detail. :)

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An executive invests $28000, some at 8% and the rest at 6% annual interest. If he receive annual return of $2000 how much is inv
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Answer:

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Step-by-step explanation:

Let x be amount invested at a rate of 8% annual interest and y be the amount invested at a rate of 6% annual interest.

We have been given that an executive invests $28000, some at 8% and the rest at 6% annual interest. We can represent this information as:

x+y=28,000...(1)

We are also given that he received annual return of $2000. We can represent this information as:

(\frac{8}{100})x+(\frac{6}{100})y=2,000...(2)

0.08x+0.06y=2,000...(2)

We will use substitution method to solve our system of equations. From equation (1) we will get,

x=28,000-y

Substituting this value in equation (2) we will get,

0.08(28,000-y)+0.06y=2,000

2240-0.08y+0.06y=2,000

2240-2240-0.08y+0.06y=2,000-2240

-0.08y+0.06y=2,000-2240

-0.02y=-240

\frac{-0.02y}{-0.02}=\frac{-240}{-0.02}

y=12,000

Therefore, the executive has invested $12,000 at a rate of 6% annual interest.

Upon substituting y=12,000 in equation (1) we will get,

x+12,000=28,000

x+12,000-12,000=28,000-12,000

x=16,000

Therefore, the executive has invested $16,000 at a rate of 8% annual interest.

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