Answer:
f(x) = 2ˣ + 1
Step-by-step explanation:
Based on the exponential increase, you know that it will be an exponential equation, meaning that you can cancel out the first two options.
The easiest way to do pick the between the two remaining equations is by plugging in an x-value and seeing if the y-value for that equation matches the y-value from the equation.
For (3, 9):
f(x) = 3ˣ = 3³ = 27
f(x) = 2ˣ + 1 = 2³ + 1 = 8 + 1 = 9
The last equation is the equation that is represented by the table.
4/10 of the water is left or in simplest form which is 2/5
Answer:
A = (1/2)(B + C + D) ⇒ 2A = B + C + D
B = (1/3)(A + C + D) ⇒ 3B = A + C + D
C = (1/4)(A + B + D) ⇒ 4C = A + B + D
D = 78
Substitute 78 for D. Solve the three equations in three variables
Answer:
2 Inches or ~1.43 Inches
Step-by-step explanation:
2 Inches if it's not including the spacing before the first "E" and after the "S", ~1.43 Inches if it's including the spacing.
You would get 2 Inches since if each letter is 10 inches (total 6 letters), that would be 60 inches. There are 5 total spaces in between all the letters. 70 Inches(Banner size) - 60 Inches (total letter size) = 10 Inches, divided equally within the 5 spaces. That would equal 2 :)
You also get ~1.43 Inches by doing the same process as the one shown above^ (that is if you're including the spacing before and after the word)
:)
Answer:
Step-by-step explanation:
Given
--- time (years)
--- amount
--- rate of interest
Required
The last 10 payments (x)
First, calculate the end of year 1 payment
Amount at end of year 1
Rewrite as:
Next, calculate the end of year 1 payment
Amount at end of year 2
Rewrite as:
We have been able to create a pattern:
So, the payment till the end of the 10th year is:
To calculate X (the last 10 payments), we make use of the following geometric series:
The amount to be paid is:
--- i.e. amount at the end of the 10th year * rate of 10 years
So, we have:
The geometric sum can be rewritten using the following formula:
In this case:
So, we have:
So, the equation becomes:
Solve for x
Approximate