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madreJ [45]
3 years ago
11

A circular track will be built around a square playing field that is 100 ft x 100 ft. What is the area of the smallest track tha

t can fit outside of the
playing field?
2501 ft2
5,000 TI in
1,000
in 2
2,500 T in2
Mathematics
1 answer:
Anna35 [415]3 years ago
4 0

Answer:

2501 ft2

Step-by-step explanation:

The other answers are in in2 or in. In this case you would not be looking for an answer in in2 or in.

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You wish to make an
Leokris [45]

Using the interest formulas, it is found that the values of the investment are given as follows:

  • Using simple interest, the value will be of $34,000.
  • Using compound interest, the value will be of $144,461.
  • Using continuous compounding, the value will be of $148,002.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = P(1 + rt)

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

In this problem, we have that the parameters are as follows:

P = 9000, r = 0.07, t = 40.

Hence:

A(t) = 9000(1 + 0.07 x 40) = 34200

<h3>Compound interest</h3>

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

n is the number of compounding, for quarterly n = 4, then:

A(t) = 9000\left(1 + \frac{0.07}{4}\right)^{4 \times 40}

A(t) = 144461

<h3>Continuous compounding</h3>

A(t) = Pe^{rt}

Hence:

A(t) = 9000e^{0.07 \times 40} = 148002

More can be learned about the interest formulas at brainly.com/question/25296782

#SPJ1

7 0
2 years ago
Complete the double number to line show percentages of $50. Fill in the blanks below to match the order of the number line and i
xenn [34]
0.05 then divide each number by 50% then simplify or if it’s a small number then just leave it
8 0
3 years ago
Calculate the area and perimeter
siniylev [52]

Answer:

Area: 38 cm^2 Perimeter: 28 cm

Step-by-step explanation:

blegh

4 0
2 years ago
State the name of the angle
Bess [88]
The answer is C, hope this helps
6 0
3 years ago
3x2=7 5x4=23 7x6=47 9x8=79 10x9=?
Mashcka [7]
(a\times b) = (a\times b) +(b -1) = c \\  \\ 3 \times 2 = (3\times 2) +(2-1) = 6 +1=7 \\  \\ 5 \times 4 = (5\times 4) +(4-1) = 20 +3=23 \\  \\ 7 \times 6 = (7\times 6) +(6-1) = 42 +5=47 \\  \\ 9 \times 8= (9\times 8) +(8-1) = 72 +7=79 \\  \\  \\  \\ 10 \times 9 = (10\times 9) +(9-1) = 90 +8=\boxed {\bf{98}}\\\sf {10\times 9 = \boxed{\bf {98}}}
3 0
3 years ago
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