Answer:
(t+1)(t^2+1)
Step-by-step explanation:
t^3+t^2+t+1
(t+1)(t^2+1)
Present value, PV = $500
Future value, FV = 2*PV = 2*500 = $1,000
Rate, r = 4% = 0.04
Compounding times in a year, n = 4 (compounded quarterly)
Time, t = ??
The future value expression is stated as:
FV = PV (1+r/n)^nt
Substituting;
1000 = 500 (1+0.04/4)^4t
2 = (1.01)^4t
ln 2 = 4t ln 1.01
0.6931 = 4t* 0.00995
0.6931 = 0.0398t
t = 17.414 years
Time required for the amount to double is 17.41 years.
Answer:
Jason has $58.20 and Jeff has $13.80.
Step-by-step explanation:
Let x represent the amount of money Jason has, and y represent the amount of money Jeff has.
We know that together they have $72. So, we can write the following equation:

We know that Jason has three <em>more</em> than four <em>times</em> the amount of money Jeff has. So:

This is a system of equations. We can solve it by using substitution. Let's substitute the second equation into the first. This yields:

Combine like terms:

Subtract 3 from both sides:

Divide both sides by 5:

So, Jeff has $13.80
We know that Jason has three more than four times the amount of money Jeff has.
Therefore, Jason has:

Multiply and add:

So, Jason has $58.20 and Jeff has $13.80.
And we're done!
Answer: 183.33
Step-by-step explanation:
We have, 60% × x = 110
or,
60
100
× x = 110
Multiplying both sides by 100 and dividing both sides by 60,
we have x = 110 ×
100
60
x = 183.33
If you are using a calculator, simply enter 110×100÷60, which will give you the answer.
Work is attached. Hope it helps!