Answer:
Option 4.) month 4
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (3,27)
That means -----> For x=3 months, the populations in both functions are the same (the bacteria populations is 27)
therefore
For x> 3 months the f(x) population is greater then the g(x) population
The amount you should deposit is $4709.18
Step-by-step explanation:
The formula for compound interest, including principal sum is
, where:
- A is the future value of the investment/loan, including interest
- P is the principal investment amount
- r is the annual interest rate in decimal
- n is the number of times that interest is compounded per unit t
- t is the time the money is invested or borrowed for
∵ You want to have $5000 in your savings account in 2 years
∴ A = 5000
∴ t = 2
∵ The account pays 3% annual interest, compounded monthly
∴ r = 3% = 3 ÷ 100 = 0.03
∴ n = 12 ⇒ compounded monthly
- Substitute these values in the formula above
∴ 
∴ 
∴ 
- Divide both sides by 
∴ P = 4709.18
The amount you should deposit is $4709.18
Learn more:
You can learn more about the compounded interest in brainly.com/question/2514241
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Our first step is to figure out what formulas are needed for diameter, circumference, and area of a circle.
Diameter is simply twice the size of the radius so:
2 * radius = 2 * 40 feet = 80 ft.
Circumference = 2 * pi * radius = 80 ft * pi
If we say that pi = 3.14, then:
circumference = 251.2 ft.
Area = pi * radius^2 = pi * 1600 ft^2
Once again, if we assert pi = 3.14, then:
area = 3.14 * 1600 ft^2 = 5024 ft^2.
Answer:
C. Mason goes on vacation with her family for 4 days. Each morning, she bikes 6 kilometers to the donut shop and then 3 more kilometers to the swimming hole. She rides home from the swimming hole in her mom's car. How many kilometers does Mason bike on vacation?
Step-by-step explanation:
For A., the equation would be 4 + 6 - 3
For B., the equation would be 3 x (6 + 4)
So our only option is C.
For C., the equation would be 4 x (6 + 3)
