Answer:Let P = initial investment
r = annual interest rate (decimal form)
t = number of years
A(t) = amount after t years
Then, A(t) = Pert
A(12.5) = 800e(0.0265)(12.5)
= 800e0.33125
= $1114.17
Step-by-step explanation:
3⁹ is the same as doing:
3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3
What I would do it is narrow it down piece by piece.
3 * 3 * 3 = 27. Do that 3 times, now you are left with:
27 * 27 * 27
27 * 27 or 27² = 729.
That leaves you with:
729 * 27
You can multiply by hand or use a calculator to get your answer of 19683.
To check your answer, plug 3⁹ into a calculator. Your answer should match this.
Answer:
The total cost for each health club would be the same after 4 months.
Step-by-step explanation:
Answer:
The total cost for each health club will be the same after 4 months.
Step-by-step explanation:
For studio A:
Membership fee = $22.00
Monthly Fee = $24.50
The equation for studio A:
For studio B:
Membership fee = $47.00
Monthly Fee = $18.25
The equation for studio B:
Let 'x' be the month of membership
We must have to find the value of month or 'x' for which the total cost at each health studio is the same.
i.e. when A = B
Hence, the expression will be
A = B
22 + 24.5x = 47 + 18.25x
Please note that if we put x=4, the L.H.S and R.H.S of the equations become the same
i.e.
22 + 24.5(4) = 47 + 18.25(4)
22 + 98 = 47 + 73
120 = 120
so, at x=4 the equations become the same.
Therefore, the total cost for each health club would be the same after 4 months.
The first, third, fifth and sixth one are all functions.
