Answer:
The value will be $1,411.20
Step-by-step explanation:
What we do here is to set up an exponential equation to calculate the value.
Mathematically it will look like this;
V = I(1-r)^n
where V is the future value
I is the initial amount = 24,600
r is rate of decrease = 13.75% = 13.75/100 = 0.1375
n is the number of years = 15 years
substituting these values, we have
V = 24,600(1-0.1375)^15
V = 24600(0.8625)^15
V = 1,411.165582454129
= $1,411.20
Answer:
30 < m
The solution would be (30, ∞)
Explanation:
For company A:
The charge is: $96 for any number of mileage ..............> I
For company B:
The charge is $75 fixed and 0.7 for each mileage m. This means that the charge is: 75 + 0.7m .................> II
We want the charge of company A to be less than the charge of company B. This means that we want I to be less than II.
Therefore,
96 < 75 + 0.7m
96 - 75 < 0.7m
21 < 0.7m
21/0.7 < m
30 < m
This means that for any mileage greater than 30, the charge of company A will be less than the charge of company B
Hope this helps :)
Answer: X=1
Step-by-step explanation:
The hypotenuse is √2 which means that x²+x²=(√2)² using Pythagoras
Simplify and solve
2x²=2
x²=1
X=√1
X=1
Hank will need 2 gallons of gas. 85/5 is 17, so Hank can go 17 miles on 1 gallon of gas. 17•2= 34, to go 34 miles you will need 2 gallons of gas.
Starting at the origin means starting at (0,0)/ moving left 5 units means x will be -5, and moving up 2 units mean y will equal 2.
(-5,2)
