Answer:
t= 12.9 years
Step-by-step explanation:
Value after t years = initial value ( 1 - r )^t
Where,
Value after t years= $5000
Initial value = $22,400
r= depreciation rate = 11%
t= length of time (years)
Value after t years = initial value ( 1 - r )^t
5000 = 22,400 ( 1 - 0.11)^t
5000 = 22,400(0.89)^t
Divide both sides by 22,400
(0.89)^t = 5000 / 22,400
(0.89)^t = 0.2232
Take the log of both sides
t log 0.89 = log 0.2232
t= log 0.2232 / log 0.89
= -0.6513 / -0.0506
= 12.87
t= 12.9 years
Answer:
A) Yes, because P (F∩S) = 0
Step-by-step explanation:
Hello!
50 customers of a store were asked to choose between two discounts:
Discount 1: 20% off all purchases for the day.
Discount 2: 10% off all purchases for the week.
28 choose discount 1
22 choose discount 2
F: the selected person choose discount 1.
S: the selected person choose discount 2.
Two events are mutually exclusive when the occurrence of one of them prevents the other from occurring in one repetition of the trial and the intersection between these two events is void with zero probability of happening.
In this case, since the customers were asked to choose one out of the two events, if the customer chooses the first one, then he couldn't have chosen the second one and vice-versa. Then the intersection between these two events has zero probability, symbolically:
P(F∩S)=0
I hope it helps!
Given are several terms in a quadratic pattern:
a1 = ?
a2 = 1
a3 = -16
a4 = ?
a5 = -14
let:
x y
1 ?
2 1
3 -16
4 ?
5 -14
considering the 2nd term and 3rd term, we can determine a quadratic function:
y = -17x + 35
therefore,
a1 = 18
a4 = -33
Answer:
-1050
Step-by-step explanation:
I know the answer because descending means going down so 2100 is the big number and its negative to if you do -2100 divided by 2 then you will get -1050.
