Answer:
slope: (positive) 2
y-intercept: -4
Step-by-step explanation:
slope is rise over run, rise is 2 up every 1 over, so slope is (2-0)/1
y-intercept is where the function intercepts or crosses the y-axis, that is at -4
Answer:
The kilometer by walking = 4.32 km
The kilometer by bus = 30.77 km
Step-by-step explanation:
Please find the attached files for the solution
Answer:
Left: The substance is decreasing by 1/2 every 12 years
Right: The substance is decreasing by 5.61% each year
Step-by-step explanation:
exponential decay
A = P(1-r)ᵇⁿ, where A is the final amount, P is the initial amount, r is the rate decreased each time period, b is the number of years, and n is the number of times compounded each year
let's write each formula in terms of this
left:
f(t) = 600(1/2)^(t/12)
matching values up...
A = P(1-r)ᵇⁿ
A = f(t)
P = 600
1 - r = 1/2 -> r = 1/2
t/12 = bn -> b = number of years = t, so bn = b/12 -> n = 1/12. Thus, it is compounded 1/12 times each year, so it is compounded every t*12 = 12 years. If it was compounded each month, it would be compounded 12 times a year
Thus, this is decreasing by a rate of 1/2 each 12 years
right:
f(t) = 600(1-0.0561)^(t)
matching values up...
A = P(1-r)ᵇⁿ
A = f(t)
P = 600
1 - r = 1 - 0.0561 -> r = 0.0561 = 5.61%
t = bn -> b = number of years = t, so bn = b -> n = 1. Thus, it is compounded annually (1 time each year)
Thus, this is decreasing by a rate of 5.61% each year
Answer:
A
Step-by-step explanation:
-5x + 10 > -15
-5x > -25
x < 5
(switch direction of inequality sign when multiplying or dividing by a negative number)
Because x < 5, the arrow would go left (more negative) starting at 5, so the answer would be A.
Answer: 18 milles
Step-by-step explanation: ince we have to figure out how many miles away Mr. Hill lives, first we will subtract:
30 - 3 = 27
Then, divide
27 ÷ 1.50 = 18
So, Mr. Hill lives 18 miles away
