Answer: $58,088.57
Step-by-step explanation:
The investment is compounded weekly so you need to change the parameters of the equation to a weekly figure:
Interest rate is yearly so:
= 3.75%/52
= 3.75/52% per week
Number of periods is 4 years so:
= 4 * 52
= 208 weeks
Future value in 4 years is:
= 50,000 * ( 1 + 3.75/52%)²⁰⁸
= $58,088.57
Answer:
s = 6, r = 8 or s = 4, r = 7
Step-by-step explanation:
2r - s = 10
2r = 10 + s
r = 5 + s/2 --(1)
rs - s^2 = 12 --(2)
sub (1) into (2):
(5 + s/2)s - s^2 = 12
5s + 0.5s^2 - s^2 = 12
-0.5s^2 + 5s - 12 = 0
s^2 - 10s + 24 = 0
(s - 6)(s - 4) = 0
therefore s = 6 or s = 4
when s = 6, r = 8 and when s = 4, r = 7
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Answer:
- a. E = {1, 2, 3, 4, 5, 6, 7, 8}
- b. A ∩ B = {2, 3}
- c. A ∪ B = {1, 2, 3, 4, 5, 7, 8}
Step-by-step explanation:
Locate the designated space on the diagram and list all the numbers in it.
a. E = {1, 2, 3, 4, 5, 6, 7, 8} . . . . all numbers in the rectangle
__
b. A ∩ B = {2, 3} . . . . where the circles overlap
__
c. A ∪ B = {1, 2, 3, 4, 5, 7, 8} . . . . only 6 is outside the circles
60 degrees because vertical angles are congruent if you move line y 5 degrees clockwise then you are adding 5+55=60 and since 1 and 3are congruent 3=60 degrees