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2 years ago

Miguel invests money in an account paying simple interest. He invests $170 and no money is added or removed from the investment.

After one year, he has $185.30. What is the simple percent interest per year?

Mathematics

1 answer:

stiv31 [10]2 years ago

7 0

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$185.30\\ P=\textit{original amount deposited}\dotfill & \$170\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 185.30=170[1+(\frac{r}{100})(1)]\implies \cfrac{185.30}{170}=1+\cfrac{r}{100}\implies \cfrac{109}{100}=\cfrac{100+r}{100} \\\\\\ 109=100+r\implies \stackrel{\%}{9}=r$

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Answer:

The man paid $200 for the cow

Step-by-step explanation:

System of Equations

Let's call:

x = price of the cow

y = price of the horse

The man bought the cow and the horse for $500, thus

x + y = 500 [1]

The cow was sold at a profit of 10%, thus:

Sale price of the cow= 1.1x

The horse was sold at a loss of 10%, thus:

Sale price of the horse= 0.9y

The total operation was a 2% loss, i.e. 0.98*500=490. Thus, we have:

1.1x + 0.9y = 490 [2]

From [1]:

y = 500 - x

Substituting in [2]:

1.1x + 0.9(500 - x) = 490

Operating:

1.1x + 450 - 0.9x = 490

0.2x = 490 - 450 = 40

x = 40/0.2

x = 200

The man paid $200 for the cow

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3 years ago

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Answer:

part A: expression 1: 6(8m+2)

expression 2: 6m+12+42m

Part B: 6(m+2+7m)= 6(8m+2)

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6(8m+2)= 6(8m+2)

Part C: 6m+12+42m=6(m+2+7m)

m=0

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3 years ago

Write each equation in slope-intercept form (3,4); and (-6,-2)

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Answer:

y = 2/3x + 2

Step-by-step explanation:

Slope intercept form is y=mx+b where m is the slope and b is the y intercept.

Given 2 points you can find the slope using (y-y1)/(x-x1)

m = (-2-4)/(-6-3) = -6/-9 = 2/3

To find b use one of the points and m and plug into the slope intercept form and then solve for b.

y=mx+b

4=2/3(3) + b

4=2 + b

b=2

Now we can write the final equation as : (plug m and b back in)

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2 years ago

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Answer:

(x, y) = (0, -2248)

Step-by-step explanation:

Substitution

Substitute for y:

300x -2248 = 350x -2248

0 = 50x . . . . . . . . add 2248-300x to both sides

x = 0

y = 300·0 -2248

The solution is (x, y) = (0, -2248).

Elimination

Subtract the first equation from the second.

(y) -(y) = (350x -2248) -(300x -2248)

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y = 300·0 -2248

The solution is (x, y) = (0, -2248).

Additional comment

If you think for a bit about what the graph looks like, you realize both lines cross at their y-intercept, (0, -2248). That point of intersection is the solution to the system of equations.

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2 years ago

Choose the graph that represents the following system of inequalities:

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Answer:

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SECOND.

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Step-by-step explanation:

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