Answer:
Step-by-step explanation:
The formula for <u>exponential growth</u> is y = ab^x.
To write this equation, we know it has to start with 48 (which is the variable a). We need to add the rate of growth. This is 11/6 (which is variable b). But we also need to account for the "every 3.5 years" part, so divide the x as an exponent by 3.5.
N(t) = 48 * 11/6^(t/3.5)
This equation is easy to test, and it's a good idea to test it after you write it. For example, after 3.5 years we know that it should have 48*11/6 branches. Does our equation work? Yes.
Answer:
$26.91
Step-by-step explanation:
11.96 divided 4 = 2.99
2.99 x 9 = $26.91
Answer: 1/4
Step-by-step explanation:
Let the volume of mixture (6%fat) in cup is 100cc
x cc be the volume of cream (18% fat) in the mixture.
∴
(100−x) cc be the volume of milk (2% fat) in the mixture.
x * 0.18+(100−x) * 0.02=100
⋅0.06 or 0.18x − 0.02x = 6−2 or 0.16x
= 4 or x=25 cc = 25%
Answer:
0.3 or 30%
Step-by-step explanation:
The professors will only seek a smaller publisher if they cannot place the statistics book with a major publisher. If the probability of getting a major publisher is 40% and the probability of getting a smaller publisher is 50%, then the probability that the statistics book would wind up being placed with a smaller publisher is given by:

The probability is 0.3 or 30%.
23 +30 (15 feet each way) = 53
28 + 30 = 58
58 x 53 = 3074ft