Larger triangle’s base length
a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
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Smaller triangle’s base length:
The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
a = 4
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The finale!
Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)
Good luck to you!
Answer:
Option b
Step-by-step explanation:
We have a compound interest problem. With an annual interest rate of 0.675 and an initial payment of 8500, with t = 25 years
Then you must use the annual compound interest formula, which is represented by a growing exponential function:
![y = e ^{ht}](https://tex.z-dn.net/?f=y%20%3D%20e%20%5E%7Bht%7D)
Where:
h is the interest rate of 0.675
y is the money in the savings account as a function of time
Then substitute the values in the formula and we have:
![y = e ^{0.675(25)}](https://tex.z-dn.net/?f=y%20%3D%20e%20%5E%7B0.675%2825%29%7D)
![y = 45,950.57](https://tex.z-dn.net/?f=y%20%3D%2045%2C950.57)
Combine like terms to get
The rate of change is the slope. The slope is the number in front of the x
Function 1 rate of change is -1/2
Function 2 rate of change is -3/4
The greater rate of change would be the steepest slope.
Function 2 has the greater rate of change
See the attached picture.
Answer:
D
Step-by-step explanation:
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