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irakobra [83]
3 years ago
10

A circle has a radius of 2 meters. find the exact circumference of this circle in terms of pi

Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:

See below.

Step-by-step explanation:

The circumference of a circle is 2\pi r

We know that the radius is 2 meters, so:

2(2) \pi

4\pi meters.

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The length of a rectangle is 6 meters more than its width. If the area is 135 square meters, what is its width?
Novay_Z [31]
Length = width +6

L * (L - 6) = 135

L^2 - 6L = 135

L^2 - 6L -135 = 0

Length = 15
Width = 9


4 0
3 years ago
tony's bike tire has a radius of 18 inches.what is the distance covered by the tire in inches after 5 rotations?
tekilochka [14]

Answer:

3ft

Step-by-step explanation:

3 0
2 years ago
The Dallas Development Corporation is considering the purchase of an apartment project for $100,000. They estimate that they wil
katovenus [111]

Answer:

  • <u>The rate of return is 8.15%</u>
  • <u>This is a good investment</u>

<u></u>

Explanation:

For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.

The formula that returns the present value of a constant payment is called the annuity formula and is:

      Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]

In your problem you know:

  • Present value: $100,000
  • payment: $15,000
  • r: ?
  • t: 10

You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.

Try 5%:

       \$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826

Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.

Since this rate is higher than 8%, which is what the company requires, this is a good investment.

5 0
3 years ago
Radical exponent definition
kaheart [24]

Answer:

a fractional exponent in which the numerator of the fractional exponent is the power of the base and the denominator of the fractional exponent is the index of the radical.

Step-by-step explanation:

3 0
1 year ago
There are (713)3 ⋅ 70 strawberries in a field. What is the total number of strawberries in the field?
Paraphin [41]
713
x 3
= 2139
2 6
2139
x 7
= 14873

There are a total of 14,873 strawberries in the field.
4 0
3 years ago
Read 2 more answers
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