First option:
y=money saved
x=number of months
y=30x+500
Second option:
y=50x+200
We have this system of equations:
y=30x+500
y=50x+200
We can solve this system of equations by equalization method
30x+500=50x+200
30x-50x=200-500
-20x=-300
x=-300/-20
x=15
so;
y=30x+500
y=30(15)+500
y=450+500
y=950
Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950.
I’m 90% sure that the answer is 36x
Answer:
30.06 degree Celsius at 4:00 PM.
Step-by-step explanation:
We have been given that on a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 hr. We are asked to find the temperature inside the building at 4:00 PM.
We will use Newton's law of cooling to solve our given problem.
, where
= Temperature after t hours.
= Temperature of surrounding environment,
= Time constant.

Upon substituting our given values in Newton's cooling law, we will get:


To find the temperature at 4:00 pm, we will substitute
in our formula as:






Therefore, the temperature inside building would be approximately 30.06 degree Celsius at 4:00 PM.
Answer: 13
Step-by-step explanation: The range of a group of numbers is the difference between the largest and smallest numbers. First, we can order these numbers from least to greatest.
32 - 33 - 34 - 37 - 40 - 45
Next, we can subtract the smallest number from our largest number.
<u>Smallest number = 32</u>
<u>Largest number = 45</u>
45 - 32 = 13
Therefore, the range of these numbers is 13.