Answer: $5.22 (in the year 2021)
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Explanation:
The year 2021 is 22 years after 1999 since
2021 - 1999 = 22
That means we'll plug x = 22 into the equation given to us
P = 144*(0.86)^x
P = 144*(0.86)^22
P = 5.21588994768589 which is approximate
P = 5.22 rounding to the nearest cent
The share price is about $5.22 in the year 2021.
This assumes that the 14% decline keeps happening year after year; however, in reality, stocks are more complicated and fluctuate more randomly if anything.
Answer:
-5
Step-by-step explanation:
Substituting x=4 into the equation gives a 2-step linear equation in y. It is solved by isolating the variable and making its coefficient be 1.
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<h3>use x=4</h3>
When x=4, the equation becomes ...
-3x +9y = -57
-3(4) +9y = -57
-12 +9y = -57
<h3>solve 2-step equation</h3>
The <u>first step</u> is to "isolate" the variable term (9y) by adding the opposite of the constant that is on the same side of the equation. The result is that the variable term is by itself on one side of the equal sign.
-12 +12 +9y = -57 +12 . . . . . add the opposite of -12
9y = -45 . . . . . . . . . . . . . . simplify
The <u>second step</u> is to make the coefficient of y be 1. We do that by multiplying by its inverse, 1/9. Equivalently, we divide by 9.
(1/9)(9y) = (1/9)(-45) . . . . multiply by the inverse of 9
y = -5 . . . . . . simplify
Answer:
The area of the base is about 32 square meters
Step-by-step explanation:
V = pi times r^2 times h which is the formula.
Since the volume is 288, and the height is 9 it is,
288 = pi times r^2 times 9,
288/9 = pi times r^2 times 9/9
32/pi = pi/pi times r^2
10.2 = r^2
The square root of 10.2 is about 3.19
Area formula is pi times radius, r^2
3.19 times 3.19 or 3.19^2 = 10.1761
10.1761 times pi is 31.96 which is about 32 square meters.
I hope this helps!
Answer:
1.575
Step-by-step explanation:
<span>Let's say in general you want "n" adjacent squares. Each one needs a top, so that's n toothpicks. Each one needs a bottom, so that's another n toothpicks, and we're up to 2n total. You need one on the far left, and one on the far right, which brings us up to 2n + 2 toothpicks. Now we need to worry about the middle ones. But notice that you don't need n toothpicks for the interior because adjacent squares share. It turns out that you only need n-1. That brings us up to a grand total of 3n + 1 toothpicks, which would be 301 for n = 100.
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