Answer:
A and E
When doing problems like these it is easier just to see what numbers are divisbale by the ration.
Example:
A: 21/30
21 is divisable by 7 and 30 is divisbale by 10
E: 35/50
35 is divisable by 7 and 50 is divisbale by 10
We have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years. The formula is: A = P * ( 1 + r )^t, where A = $41,000, r = 0.023 and t = 17. 41,000 = P * ( 1 + 0.023 ) ^17; 41,000 = P * ( 1.023 )^17; 41,000 = P * 1.4719; P = 41,000 : 1.4719; P = 27,855.15. Answer: It has to be invested <span>$27,855. </span>
Answer: A.
Step-by-step explanation:
To find mean, average the numbers in the data set by adding them together and dividing by the number of values.
(96 + 77 + 82 + 91 + 89) / 5 = 87.
To find median, take the "middle" value of the data set. To find this, you can sort the numbers in ascending order and remove the same amount of values from each side.
77 / 82 / 89 / 91 / 96, the median is 89.
Therefore, the mean is less than the median.
Recall that the the vertical shifting of functions is associated with the numerical value that is added to the original one. A possitive value k will shift the function k units up, and a negativa value (or subtracting k) will move it vertically down k units.
If I understand correctly, you forgot to type an "x"in the original function f(x), which should read:
f(x) = 0.5 x
Correct?
The new graph is g(x) = 0.5 x - k which is obtained by shifting the original f(x) DOWN by 3 units.
In order to shift the graph of f(x) DOWN three units, we need to SUBTRACT 3 from f(x), leading to : 0.5 x - 3
Therefore, the value of "k"in the given g(x) = 0.5 x - k must be 3.
which agrees with the last option in your list (option D)
Answer:
4
Step-by-step explanation:
BCD is a right triangle. The Pythagorean Theorem applies; a^2 + b^2 = c^2, with c being the hypotenuse. a^2 + 9 = 25, so a^2 = 16, so a = 4
