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artcher [175]
3 years ago
12

an amount of $41,000 is borrowed for 7 years at 6.75% interest, compounded annually. If the loan is paid in full at the end of t

hat year, how much must be paid back?
Mathematics
1 answer:
Marianna [84]3 years ago
3 0

Answer:

<u>We must pay back US$ 64,767.70 for the loan after 7 years.</u>

Step-by-step explanation:

1. Let's review the data given to us for answering the question:

Loan amount = US$ 41,000

Duration of the loan = 7 years

Interest rate = 6.75% compounded annually

2. Let's find the future value of this loan after 7 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Loan = US$ 41,000

number of periods (n) = 7 (7 years compounded annually)

rate (r) = 6.75% = 0.0675

Replacing with the real values, we have:

FV = 41,000 * (1 + 0.0675) ⁷

FV = 41,000 * (1.0675) ⁷

FV = 41,000 * 1.5797

<u>FV = US$ 64,767.70</u>

<u>We must pay back US$ 64,767.70 for the loan after 7 years.</u>

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WARRIOR [948]

Answer:

Therefore, the volume of the cone is V=4π.

Step-by-step explanation:

From task we have a circular cone with radius 2 m and height 3 m. We use the disk method to find the volume of this cone.  

We have the formula:

\boxed{V=\int_0^h\pi \cdot \left(\frac{r}{h}x\right)^2\, dx}

We know that r=2 and h=3, and we get:

V=\int_0^3\pi \cdot \left(\frac{2}{3}x\right)^2\, dx\\\\V=\int_0^3 \pi \frac{4}{9}x^2\, dx\\\\V= \frac{4\pi}{9} \int_0^3 x^2\, dx\\\\V= \frac{4\pi}{9} \left[\frac{x^3}{3}\right]_0^3\, dx\\\\V= \frac{4\pi}{9}\cdot 9\\\\V=4\pi

Therefore, the volume of the cone is V=4π.

7 0
3 years ago
A rectangular parking lot has a perimeter of 310 meters. The length is 5 meters more than 4 times the width. What’s is the lengt
max2010maxim [7]

Answer:

w=30  l=125

Step-by-step explanation:

Perimeter =2l+2w

p=310

w =width

4w+5 = length(4 times plus 5 the width)

2(4w+5) + 2w = 310

8w+10 = 2w =310

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2(125)+ 2(30)=  250+60 =310

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the nearest whole number is 133

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2 years ago
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Find the volume of a right circular cone that has a height of 18.9 in and a base with a
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Answer:

The volume of the cone is:

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Step-by-step explanation:

You should know that the volume of a straight circular cone is equal to:

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Where:

<em>r = radius. </em>

<em>h = height. </em>

Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:

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When clearing you get:

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By replacing the data you get:

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