Answer:
slope --> m=6
Step-by-step explanation:
Answer:
The formula to find the voltage is:

And the voltage is 4 volts
Step-by-step explanation:
To get the equation of voltage you need to isolate v in one side of the equation. In order to do that, you need to remove the divisor/denominator and its square. How will you do that?
First, multiply both sides with R:

That would result into removing the divisor R from the right side of the equation:

Next, square-root both sides:

That would result in removing the square of v from the right side of the equation:

Thus we get the equation,
.
To find out the voltage, simply replace R with 32 and P with 0.5



Thus, the voltage is 4 volts.
Solution
a)
To find the exponential growth function, we apply the exponential growth formula which is

Where

Given that

Substitute the variables into the exponential growth formula
![\begin{gathered} 25100=23900(1+k)^5 \\ \text{Divide both sides by 23,900} \\ \frac{25100}{23900}=\frac{23900(1+k)^5}{23900} \\ 1.05021=(1+k)^5^{} \\ \sqrt[5]{1.05021}=1+k \\ 1.00984=1+k \\ \text{Collect like terms} \\ k=1.00984-1 \\ k=0.00984 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2025100%3D23900%281%2Bk%29%5E5%20%5C%5C%20%5Ctext%7BDivide%20both%20sides%20by%2023%2C900%7D%20%5C%5C%20%5Cfrac%7B25100%7D%7B23900%7D%3D%5Cfrac%7B23900%281%2Bk%29%5E5%7D%7B23900%7D%20%5C%5C%201.05021%3D%281%2Bk%29%5E5%5E%7B%7D%20%5C%5C%20%5Csqrt%5B5%5D%7B1.05021%7D%3D1%2Bk%20%5C%5C%201.00984%3D1%2Bk%20%5C%5C%20%5Ctext%7BCollect%20like%20terms%7D%20%5C%5C%20k%3D1.00984-1%20%5C%5C%20k%3D0.00984%20%5Cend%7Bgathered%7D)
Hence, the exponential growth function is

Hence, the exponential growth function is

b)
For the population of the city in 2022,

Substitute for t into the exponential growth function

Hence, the population is 2022 is 27700 (nearest hundred)
Answer:
Area = 40 cm²
Step-by-step explanation:
Area of triangle is derived by the formula,
Area = 
Length of Base = 8 cm
Height of the triangle = 10 cm
Therefore, area of the given triangle = 
= 40 cm²
Answer:
Cost to buy and run the first car for 5 years=$24000
Cost to buy and run the second car for 5 years=$26000
I think we should buy the first car, because It is cheaper to buy and maintain
Step-by-step explanation:
first car:
Cost $18000 to buy
Cost $100 to maintain each month
5years =5 x 12=60months
Cost to maintain for 60months=100x60=$6000
First car cost to buy and run over the 5 year period=18000+6000=$24000
Second car:
It cost $22400 to buy
Cost $60 to maintain each month
5years=60months
Cost to maintain for 60months is 60 x 60=$3600
Cost to buy and run over the second car for 5years is 22400+3600=$26000