Answer:
It will take about 7.3 years for his money to triple.
Step-by-step explanation:
Identify the variables in the formula.
A = 150,000
P = 50,000
r = 0.15
t = ?
A = Pe^rt
Substitute the values into the formula.
150,000 = 50,000e^0.15*t
Solve for t. Divide each side by 50,000.
3 = e^0.15*t
Take the natural log of each side.
ln 3 = ln e^0.15*t
Use the power property and then simplify.
ln 3 = 0.15*t ln e
ln 3 = 0.15-t
Divide each side by 0.15.
(ln 3)
/(0.15) = t
Approximate the answer.
t ≈ 7.3
The answer you are looking for is 9/11.
When dividing fractions, you multiply the first value by the inverse of the second value. The inverse is found by simply flipping the numbers of the last fraction. So, the inverse is 9/4. Then, multiply 4/11 and 9/4 to get 36/44. 36/44 simplified (divided by 4/4) is 9/11. Thus making 9/11 the answer.
I hope this helps.
You have to set up a system of equations
x+y=104
3x-y=104
Sodas = 78
Hotdogs = 26
Answer:
i don't know
Step-by-step explanation:
Answer:
(3, - 1 )
Step-by-step explanation:
Given the 2 equations
x - 3y = 6 → (1)
2x + 2y = 4 → (2)
Rearrange (1) expressing x in terms of y by adding 3y to both sides
x = 6 + 3y → (3)
Substitute x = 6 + 3y into (2)
2(6 + 3y) + 2y = 4 ← distribute and simplify left side
12 + 6y + 2y = 4
12 + 8y = 4 ( subtract 12 from both sides )
8y = - 8 ( divide both sides by 8 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 6 + 3(- 1) = 6 - 3 = 3
Solution is (3, - 1 )
