To solve this we are going to use the exponential function:
where
is the final amount after
years
is the initial amount
is the decay or grow rate rate in decimal form
is the time in years
Expression A
Since the base (0.95) is less than one, we have a decay rate here.
Now to find the rate
, we are going to use the formula:
*100%
*100%
*100%
5%
We can conclude that expression A decays at a rate of 5% every three months.
Now, to find the initial value of the function, we are going to evaluate the function at
We can conclude that the initial value of expression A is 624.
Expression B
Since the base (1.12) is greater than 1, we have a growth rate here.
To find the rate, we are going to use the same equation as before:
*100%
*100
*100%
*100%
12%
We can conclude that expression B grows at a rate of 12% every 4 months.
Just like before, to find the initial value of the expression, we are going to evaluate it at
The initial value of expression B is 725.
We can conclude that you should select the statements:
- Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every fourth months.
- Expression A has an initial value of 624, while expression B has an initial value of 725.
$37.00 would be your answer
Tip: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up and if the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
I) The probability that it is not bruised is 1-0.054=0.946
Hint for ii and iii) use Bayes Theorem
Probability of drawing a black card is 1/2
Probability of drawing a 9 is 1/13
Multiply together. You get 1/26.
Answer:
$375 to Educational Growth Foundation
Step-by-step explanation:
$125 to City Youth Fund
Hope this helps.