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3 years ago

Otis has saved $18,500 so far to buy a

Mathematics

1 answer:

aliina [53]3 years ago

3 0

9514 1404 393

Answer:

J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.

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3 years ago

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Because the point where the graphs intersect is a point that meets both rules (functions) y = 4 - x and y = 2x + 3 meaning that y from y = 4 - x equals y from 2x + 3 and also both x have the same value.

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x values 4 -x    2x + 3

-3 4-(-3)=7 2(-3)+3 =-3
-2 4-(-2)=6    2(-2)+3 =-1
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The the solution is between x = 0 and x =1

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Draw in a same graph both functions y= 4 - x and y = 2x +3.

Then read the x-coordinates of the intersection point. That is the solution.

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