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.
Answer:
the cost of the three new CDs is $44.28
Step-by-step explanation:
Here in this question, we are interested in calculating the cost of 3 new CDs cost.
From the question, we already know the cost of one. The cost of three would be 3 multiplied by the cost of one.
The cost of the three excluding the sales tax = $13.79 * 3 = $41.37
The sales tax for the three pieces = 3 * $0.97 = $2.91
The cost of the three CDs including the sales tax = $41.37 + $2.91 = $44.28
37.5% of her credits. 24 out of 64, divide and you get your answer. multiply by 100 to get the percentage.
Answer:
Step-by-step explanation:
I think it is a strangely worded question as they only refer to the larger gear turning.
I believe that this is what they are going for.
Number of teeth passing in each revolution
The Numbers match when the large gear turns two times as the smaller gear turns three times.
36j + j = 37j
Explanation.
You could translate this sum into a normal sebtence: I have 36 apples and add 1 apple more.
The sum will then be 36 apples + apple = 37 apples.
Replacing the word (in this explanation 'apple') by a letter learns us 36a + a = 37a
Hence 36j + j = 37j