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damaskus [11]
3 years ago
7

While Joey was standing outside on a sunny day, his shadow was 5 feet long. The shadow of a nearby Oak tree was 12 feet long. If

Joey is 6 feet tall, how tall is the Oak tree?
A. 15.6 feet

B. 14.4 feet

C. 10 feet

D. 13.4 feet
Mathematics
1 answer:
Leokris [45]3 years ago
3 0
Shadow problems are usually solved with a proportion.
.. oak/(oak's shadow) = joey/(joey's shadow)
.. oak/(12 ft) = (6 ft)/(5 ft)
.. oak = (12 ft)*(6/5) = 14.4 ft . . . . . . . matches selection B
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3 years ago
Find how many years it would take for an investment of $3700 to grow to $6000 at an annual interest rate of 6.2% compounded semi
lorasvet [3.4K]

Answer:

  7 years 11 months

Step-by-step explanation:

The future value formula for the value of a principal P invested at annual rate r compounded n times yearly for t years is ...

  FV = P(1 +r/n)^(nt)

For the given numbers, we want to find t:

  6000 = 3700(1 +.062/2)^(2t)

Dividing by 3700 and taking the logarithm, we get ...

  6000/3700 = 1.031^(2t)

  log(60/37) = 2t·log(1.031)

Dividing by the coefficient of t gives ...

  t = log(60/37)/(2log(1.031)) ≈ 7.92 . . . . . years

It will take about 7 years 11 months for the investment to grow to $6000.

7 0
3 years ago
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Ne4ueva [31]
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7 0
3 years ago
Can someone please help me?
Pachacha [2.7K]

Hello there!

So, remember that m = the slope, and slope intercept form is represented as y = mx + b. To find the y intercept, place the values of x, y, and the slope into the equation.

The first step, ____ = (____)____ + b should look like 3 = (2/5)10 + b once you plug the values for your x and y values and slope.

The second step, ___ = ____ + b should look like 3 = 4 + b since you should multiply 2/5 x 10.

The final step, -1 = b should look like  since you subtracted 4 from both sides of the equation.

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7 0
3 years ago
Twice a number increased by 2 is zero
Dmitry_Shevchenko [17]
Alright, so 2x+2=0 (with x being the number) is what I'm getting from this. Subtract 2 from both sides to get 2x=-2, and then divide by 2 to get x=-1
7 0
3 years ago
Read 2 more answers
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