Answer:
Step-by-step explanation:
<u>Given:</u>
- Quarter = 25 ¢, number of quarters = q
- Dime = 10 ¢, number of dimes = d
- Total amount = $13.20 = 1320 ¢
<u>Required equations:</u>
- q + d = 72
- 25q + 10d = 1320
<u>Solve by elimination, multiply the first equation by 10 and subtract from the second equation:</u>
- 25q + 10d - 10q - 10d = 1320 - 10*72
- 15q = 600
- q = 600/15
- q = 40
<u>Find p:</u>
- 40 + p = 72
- p = 72 - 40
- p = 32
Answer:

Step-by-step explanation:
<u><em>The correct question is</em></u>
At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperatures is 50 degree Celsius. This causes the cake to cool and the temperature difference loses 1/5 of its value every minute.
Write a function that gives the temperature difference in degrees Celsius, D(t), t minutes after the cake was put in the cooler
we know that
The equation of a exponential decay function is equal to

where
D(t) is the temperature difference in degrees
t is the number of minutes
r is the rate of change
a is the initial value
we have


substitute


Answer:
dty
Step-by-step explanation:
Given:
The expression is

To find:
The equivalent expression.
Solution:
We have,

It can be written as

So, option C is correct.


So, option A is correct.
The given expression can be written as

So, option D is incorrect.

So, option B is incorrect.
Therefore, the correct options are A and C.
Answer:
It equals 10.5
Step-by-step explanation: