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Lapatulllka [165]
3 years ago
14

At your child's birth, you begin contributing monthly to a college fund. The fund pays an APR of 4.1% compounded monthly. You fi

gure your child will need $40,000 at age 18 to begin college. What monthly deposit is required? (Round your answer to the nearest cent.)
Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

Answer:

$185.19

Step-by-step explanation:

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Find the total volume of the composite figure below. Round to the nearest thousandth.
cestrela7 [59]

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite (V), in cubic feet, figure can be determined by this expression:

V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l (1)

Where:

r - Radius of the circle of the right cone, in feet.

h - Height of the cone, in feet.

w - Width of the cuboid, in feet.

H - Height of the cuboid, in feet.

l - Length of the cuboid, in feet.

If we know that r = 10\,ft, h = 10\,ft, w = 20\,ft, H = 7\,ft and l = 18\,ft, then the volume of the composite figure is:

V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)

V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}

V \approx 3567.198\,ft^{3}

The volume of the composite figure is approximately 3567.198 cubic feet.

3 0
3 years ago
Determine how many solutions exist for this system of equations:
IrinaK [193]

Answer:

No Solution

Step-by-step explanation:

-3x+6=-3x-5

+5 +5

-3x+11=-3x

+3 +3

11=0

No Solution

4 0
3 years ago
Are these numbers rational or irrational? √10 (square root of 10) √16 (square root of 16) 52% 1.235 1. Rational 2. Irrational pl
77julia77 [94]

Step-by-step explanation:

any rational number can be expressed as a/b, with a and b being integer numbers, and b different to 0.

-7 = -7/1 rational

sqrt(10) irrational (because there is no rational number multiplied by itself that results in 10)

sqrt(16) = sqrt(4×4) = 4 = 4/1 rational

52% = 52/100 rational

1.235 = 1235/1000 rational

5 0
2 years ago
R= I didn’t know it at all so if some one could help me‍♀️ Thank you
alexdok [17]

Answer:

1

Step-by-step explanation:

1

3 0
3 years ago
If is parallel to , which statement must be true?
Igoryamba
I’m pretty sure it’s d
6 0
3 years ago
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