Answer:
google
Step-by-step explanation:
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Hi there
The formula is
A=p (1+r/k)^kt
A future value 3000
P present value 100
R interest rate 0.02
K compounded monthly 12
T time?
We need to solve for t
T=[log (A/p)÷log (1+r/k)]÷k
T=(log(3,000÷100)÷log(1+0.02÷12))÷12
T=170.202 years
So it's a
Hope it helps
Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.


And many more.
The approach or formula to use depends on the question.
In this case, the combined function is:

The savings function is given as

The allowance function is given as:

The new function that combined his savings and his allowances is calculated as:

Substitute values for s(x) and a(x)

Open bracket

Collect like terms


Read more about functions at:
brainly.com/question/15458447
Answer:
3
Step-by-step explanation:
You want a number that if it is multiplied by 3 1/3 the result will be 10. Let the number be x
3 1/3 * x = 10 Change to a mixed number
10/3 * x = 10 Multiply by 3/10
(10/3)*x * 3/10 = 10 * 3/10 Combine
x = 10*3 / 10 Simplify
x = 30/10 = 3
Let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75