Answer: she bought about 7 boxes.
Step-by-step explanation:
Answer:
Given the initial population of termites = 60
After 7 days the population of termites = 225
Step-by-step explanation:
We have given the initial termites and the population of termites after 7 days. Now we are required to find the exponential growth model that will help to predict the future population of termites.
We have, Y = Ca^x
When the value of x is zero then population (Y) is 60 termites.
Y = Ca^x
60 = Ca^x
Now, Y = 60a^x
At x = 7 days
Y = 225
225 = 60 a^7
a^7 = 225/60
a = 1.2078
Thus, final population will be, Y = 60(1.2078)^x
Answer:
$300
Step-by-step explanation:
Let D = Dave's savings and S = Sam's savings.
(1) D/S = 5/4
(2) (D – 40)/(S-40) = 13/10 Multiply (1) by 4S
(3) 4D = 5S Multiply (2) by 10(S-40)
10(D - 40) = 13(S - 40) Remove parentheses
(4) 10D – 400 = 13S - 520 Solve (3) for S
S = (4/5)D Substitute into (4)
10D – 400 = 13(4/5)D - 520 Multiply each side by 5
50D – 2000 = 52D – 2600 Subtract 50D from each side
-2000 = 2D – 2600 Add 2600 to each side
600 = 2D Divide each side by 2
D = $300
Dave's savings at first were $300.
