Answer:
P(t) = 282.2(1.009)^t
Step-by-step explanation:
Look at the attached image.
Hope you can read my handwriting. the image cut off the right side, b = 1.009213324... but question asks to round to nearest thousandth so it's 1.009
For the second part just use the equation to find P when t = -1 and see if P is less than (underpredicts) the number from the question or greater than (overpredicts) the number. I haven't calculated it but I think it will be smaller and thus underpredicts just from looking at the numbers when t = -1
The largest sum of three numbers that meet at a corner is 15
<h3>How to determine the largest sum?</h3>
The number cube that completes the question is added as an attachment
The largest number in the number cube is 6.
On the number cube, the next largest numbers share the same corner with the number 6
So, the largest set of numbers on the cube are 6, 5, 4
Add the numbers:
Sum = 6 + 5 + 4
Evaluate
Sum = 15
Hence, the largest sum of three numbers that meet at a corner is 15
Read more about number cubes at:
brainly.com/question/474968
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Answer:
12
Step-by-step explanation:
29 = v + 17
29 - 17 = v
12 = v
Answer:
25%
Step-by-step explanation:
The first doubling, from 20 to 40 occurs in a little more than 3 years, so the multiplier each year is a little less than 2^(1/3) ≈ 1.26. That is, each year is a little less than 26% more than the previous year.
The graph also goes near the point (8, 120), so grows by a factor of 6 in 8 years. That suggests a multiplier of 6^(1/8) ≈ 1.251. Each year is about 25.1% more than the previous year.
Both of these multipliers represent yearly growth rates near 25%.
___
Using the "rule of 72", the product of doubling time and percentage growth is about 72. So, for a doubling time of 3 years, the percentage growth is predicted to be near 72/3 = 24 percent.
All of these estimates help you choose the correct answer: 25%.
The surface area of the square bottom = L x W = 7 x 7 = 49 cm^2
The area for one of the triangles = 1/2 x base x height = 1/2 x 7 x 9 = 31.5 cm^2
There are 4 triangles, the total area for the triangles = 31.5 x 4 = 126 cm^2
Total area = base + triangles = 49 + 126 = 175 cm^2
