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kozerog [31]
3 years ago
15

how much money will you have in 10 years if you invest $12,000 at a 3.3% annual rate of interest compounded quarterly?

Mathematics
1 answer:
Andrej [43]3 years ago
4 0

Answer:

The amount is $16718.7 and the interest is $4718.7.

Step-by-step explanation:

STEP 1: To find amount we use formula:

A=P(1+rn)n⋅t

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

P=$12000 , r=3.33% , n=4 and t=10 years

After plugging the given information we have

AAAA=12000(1+0.03334)4⋅10=12000⋅1.00832540=12000⋅1.393225=16718.7

STEP 2: To find interest we use formula A=P+I, since A=16718.7 and P = 12000 we have:

A16718.7II=P+I=12000+I=16718.7−12000=4718.7

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Step-by-step explanation:

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<h3>Answer:</h3>

All acute angles are 72.5°; all obtuse angles are 107.5°.

<h3>Explanation:</h3>

Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...

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... o - a = 35

Adding these two equations gives ...

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Then the other angle is ...

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_____

All corresponding angles have the same measures. All vertical angles have the same measures. So the 8 angles that arise from the intersection of the transversal with these two parallel lines will have one or the other of these two measures.

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--------------------------------------------------------------
Find Slope
--------------------------------------------------------------
4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2

Slope = -2
Perpendicular slope = 1/2

--------------------------------------------------------------
Insert slope into the general equation y = mx + c
--------------------------------------------------------------
y = 1/2x + c

--------------------------------------------------------------
Find y-intercept 
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y = 1/2x + c
at (5,6)
6 = 1/2 (5) + c
6 = 5/2 + c
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--------------------------------------------------------------
Insert y-intercept into y = 1/2 x + c
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y = 1/2 x + 7/2
2y = x + 7

--------------------------------------------------------------
Answer: 2y = x + 7
--------------------------------------------------------------
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