Answer:
11 7/12
Step-by-step explanation:
Just add lol i know this isn't real explanation
Answer:
The indifference point is 200 miles
Step-by-step explanation:
<u>First, we need to establish the total cost formula for each company:</u>
Pack and Go:
Total cost= 39.95 + 0.45x
x= miles driven
U-Drive:
Total cost= 59.95 + 0.35x
x= miles driven
<u>Now, we equal both formulas and isolate x:</u>
39.95 + 0.45x = 59.95 + 0.35x
0.1x = 20
x= 200 miles
The indifference point is 200 miles
Answer:
After 45.7 years
Step-by-step explanation:
∵ r = 1/2% per year
∵ P0 = $40
∵ Pn = $50
∵ Pn = P0 ( 1 + r/100)^n-1
∵ P0 is initial value , Pn is the value after n years , is the rate
∴ 50 = 40 (1 + 0.5/100)^n-1
∴ 50/40 = (1.005)^n-1
∴ 1.25 = (1.005)^n-1 ⇒ insert ln in both sides
∴ ln(1.25) = (n-1)ln(1.005)
∴ n - 1 = ln(1.25)/ln(1.005)
∴ n = ln(1.25)/ln(1.005) + 1 = 45.7 years
Answer:
B
Step-by-step explanation:
12x² - 157x - 40
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 12 × - 40 = - 480 and sum = - 157
The factors are + 3 and - 160
Use these factors to split the x- term
12x² + 3x - 160x - 40 ( factor the first/second and third/fourth terms
= 3x(4x + 1) - 40(4x + 1) ← factor out (4x + 1) from each term
= (4x + 1)(3x - 40) ← in factored form → B
Answer:
1/6
Step-by-step explanation:
two events need to happen: tutti frutti needs to be shown by first spinner and second spinner needs to show dish
probability of tutti frutti = 1/3
probability of dish = 1/2
probability of both events = 1/3 * 1 /2 = 1/6
