Answer:
Step-by-step explanation:
Eight
590 = 1800 e^(-0.4t) Divide by 1800
0.32778 = e^(-0.4t) Put the value for e in the denominator.
0.32778 = 1 / e^(0.4t) Notice the sign's gone. Multiply both sides by e^(0.4t)
0.32778 *e^(0.4t) = 1 Divide by 0.32778
e^(0.4t) = 3.0508 Take the natural log of both sides.
0.4t = 1.11542 Divide both sides by 0.4
t = 2.78855
You should put this in the original equation to see if it checks. It does.
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Nine
3^(3 - 3x) + 6 = 42 Subtract 6 from both sides
3^(3 - 3x) = 36 Take the log of both sides.
(3 - 3x) ln(3) = ln 36
(3 - 3x) *1.098612 = 3.58352 Divide by 1.098612
3 - 3x = 3.26186 Subtract 3 from both sides
- 3x = 0.26186 Divide by - 3
x = - 0.087287
Answer:
50 cups of coffee
Step-by-step explanation:
So what you do is take 3.50 then subtract 1.50 to get the profit of one cup of coffee. ($2) Then you do the $100 and divide it by the $2 and find out how many cups of coffee he has to sell to get to the $100. (50)
Answer:
6 clown fish and 4 angel fish
Step-by-step explanation:
<u>lets say he bought 8 clown fish. </u>
12*8 = 96
the last 4 dollars wont be used.
<u>lets say he bought 7 clown fish-</u>
12*7 = 84
100 - 84 = 16. 16 is not a multiple of 7.
<u>lets say he bought 6 clown fish,</u>
12*6 = 72
100 - 72 = 28
28/7 = 4
If David has $100 dollars to spend and wants to spend every dollar, he can buy 6 clown fish and 4 angel fish.
Answer: Estimates vary, but each person uses about 80-100 gallons of water per day
Answer:
9-8
Step-by-step explanation:
60 divided by 7 is 8.5
