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Lilit [14]
3 years ago
10

Find the interest rate r compounded monthly if the principal P = $4,300 reaches the future value F = $4,720 in t = 6 years. Roun

d your final answer to two decimal places.​
Mathematics
1 answer:
kirza4 [7]3 years ago
4 0

Answer:

  1.55%

Step-by-step explanation:

Fill in the values and solve for the rate using the future value formula.

  FV = P(1 +r/n)^(nt)

  4720 = 4300(1 +r/12)^(12·6)

  (4720/4300)^(1/72) = 1 +r/12

  r = 12(4720/4300)^(1/72) -1) ≈ 0.015542

The annual interest rate is about 1.55%.

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A grain silo has a circular base with an area of 260 square feet and is 21 feet tall What is the total volume?​
Leya [2.2K]

The correct answer is 5460 cubic feet or 5460 ft^{3}

Explanation:

The silo has a cylindrical shape, in this context, the volume of the silo or any other cylinder can be calculated by using the formula Volume =\pi r^{2} h. In this formula the symbol \pi refers to the number 3.1415..., the letter r refers to the radius of the base and the letter h refers to the height.

Moreover, in this case, it is known the heigh (21 feet) and the area of the base (260 square feet). Additionally, this area of the base is the result of the formula Area = \pi r^{2}, which is exactly the first section of the formula to find the volume. This implies that by multiplying the area of the base by the height the volume is known. Here is the process:

Volume = \pi r^{2} h  or  Volume = Ah   (Area of the base × height)

V = 260 square feet × 21 feet

V = 5460 cubic feet

6 0
3 years ago
A dog’s heart beats 6600 times in an hour. What is their pulse rate in beats per minute?
Artist 52 [7]

Answer:

110 beats per minute.

Step-by-step explanation:

Since we know it beats 6600 beats per hour and there are 60 minutes in an hour then we have to divide 6600 by 60 which is 110.

7 0
3 years ago
Read 2 more answers
Which angle measure has a tangent of 8.9352
Hunter-Best [27]
Tanθ = 8.9352

θ = tan⁻¹ (8.9352)

<span>θ </span>≈<span> 83.614</span>°
4 0
3 years ago
What is the value of the expression-2(3x-2)+x+9 when x= -3
nikitadnepr [17]

We know x=-3

Replace x with -3

-2(3[-3]-2)+(-3)+9

simplify

-2(-9-2)-3+9

-2(-11)-3+9

22-3+9

do math

22-12

Your Answer Is 10

4 0
3 years ago
Consider the graph of the function <br> f(x)=2^x
OverLord2011 [107]

Answer:

D. The y-intercept is at (0,2)

Step-by-step explanation:

f(x) = 2^x and g(x)=2f(x) so g(x) = 2(2)^x

In the exponential function ab^x a is the y-intercept (in this case a is 2)

3 0
3 years ago
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