Answer:
After 4 months
Step-by-step explanation:
The cost at both the programs consists of a "fixed cost" (reg fee) & "variable cost" ( per month fee).
Let number of months be "x"
<u>Yo-Yoga:</u>
35 fixed
90 per month
So equation would be: 35 + 90x
<u>Essence Yoga:</u>
75 fixed
80 per month
So equation would be: 75 + 80x
To find number of month when cost would be same, we equate both equations and solve for x:
35 + 90x = 75 + 80x
10x = 40
x = 40/10
x = 4
hence, after 4 months, both cost would be same
Seven and seventy-five hundredths
35+25=60
y=60
If you add the opposite side values of the triangle (not the one touching the y), you get the value of y). 35+25=y
This works because y+x= 180 and the three angles of a triangle add to 180.
Using exponential functions, the ending balances are given as follows:
1. $1,490.07.
2. $1,073.83.
3. $358.04.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
Item a:
The parameters are:
A(0) = 939, r = 0.08, t = 6.
Hence the balance is:

Item b:
The parameters are:
A(0) = 823, r = 0.03, t = 9.
Hence the balance is:

Item c:
The parameters are:
A(0) = 269, r = 0.1, t = 3.
Hence the balance is:

More can be learned about exponential functions at brainly.com/question/25537936
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