Answer:
Seven one dollar bills and eight five dollar bills.
Step-by-step explanation:
8 + 7 = 15 bills
8 x 5 = $40
7 x 1 = $7
40 + 7 = $47
47 dollars and 15 bills.
Answer:
Its the last option. M and N are similar but not congruent.
Step-by-step explanation:
They have the same shape but are a different size.
Answer:
1. y=3x-1
Step-by-step explanation:
y=mx+b
y=output
m=slope
x=input
b=y-intercept
The question is just a black box. I would like to help you if you could attach a pic of the problem
You want solved
If we want to find when the population of species A will be equal to the population of species B, we need to see when the two equations for the population of each species are equal, ie. equate them and solve for t. Thus:
2000e^(0.05t) = 5000e^(0.02t)
(2/5)e^(0.05t) = e^(0.02t) (Divide each side by 5000)
2/5 = e^(0.02t) / e^(0.05t) (Divide each side by e^(0.05t))
2/5 = e^(-0.03t) (use: e^a / e^b = e^(a - b))
ln(2/5) = -0.03t (use: if b = a^c, then loga(b) = c )
t = ln(2/5) / -0.03 (Divide each side by -0.03)
= 30.54 (to two decimal places)
Therefor, the population of species A will be equal to the population of species B after 30.54 years.
I wasn't entirely sure about the rounding requirements so I've left it rounded to two decimal places.
