Answer:
1.04
Step-by-step explanation:
"Complete the following sentence about the yearly rate of change in the amount of money in the account. Round your answer to two decimal places.
Every year, the amount of money in the account increases by a factor of _."
Mdecade(t) = 4900 (1.5)^t, where t is in decades.
One year is 0.1 decades, so M increases by a factor of:
1.5^0.1 = 1.04
Answer: 46
Explanation: If Mia is paid $55 for every bicycle, she would need to fix up/sell 46 bicycles. This is because 45 x 55 = 2475 and Mia wants over 2500 but 46 x 55 = 2530. Therefore, 46 is the minimum number of bicycles.
Answer:
Account A: Decreasing at 8 % per year
Account B: Decreasing at 10.00 % per year
Account B shows the greater percentage change
Step-by-step explanation:
Part A: Percent change from exponential formula
f(x) = 9628(0.92)ˣ
The general formula for an exponential function is
y = ab^x, where
b = the base of the exponential function.
if b < 1, we have an exponential decay function.
ƒ(x) decreases as x increases.
Account A is decreasing each year.
We can rewrite the formula for an exponential decay function as:
y = a(1 – b)ˣ, where
1 – b = the decay factor
b = the percent change in decimal form
If we compare the two formulas, we find
0.92 = 1 - b
b = 1 - 0.92 = 0.08 = 8 %
The account is decreasing at an annual rate of 8 %.The account is decreasing at an annual rate of 10.00 %.
Account B recorded a greater percentage change in the amount of money over the previous year.
Answer:
0.24
Step-by-step explanation:
it was 0.24161073 not simplified but since the 1 after the 4 is not greater than five it stays the same and it beccome 0.24