the population of master town was 23,000 and 2012. Assume that master town's population increases at a rate of 2% per year. Write an equation to model the population of mastertown (y) based on number of year since 2012(x)
y = 23,000(1.02)^x
what is the value after seven years of a 2014 ford mustang that originally costs $25,000 if it depreciates at a rate of 8% per year? Round your answer to the nearest dollar.
First, we need to find the annual depreciation amount:
Annual depreciation = 8% of $25,000
Annual depreciation = 0.08 x $25,000
Annual depreciation = $2,000
Next, we can use this formula to find the value after seven years:
Value = Original value - Total depreciation
Value = $25,000 - ($2,000 x 7)
Value = $25,000 - $14,000
Value = $11,000
Therefore, the value of the 2014 Ford Mustang after seven years is approximately $11,000.
the local parts shops buys a machine that cost $500,000 its value depreciates exponentially each year by 10%. what is the machines value after 5 years round your answer to the nearest integer
We can use the formula for exponential depreciation:
Value = Initial value x (1 - depreciation rate)^time
Initial value = $500,000
Depreciation rate = 10% = 0.10
Time = 5 years
Plugging in these values, we get:
Value = $500,000 x (1 - 0.10)^5
Value = $500,000 x 0.59
Value = $295,000
Therefore, the machine's value after 5 years is approximately $295,000.
in Miami, the number of highway accidents increased by 20% over a four-year period how many accidents were there in 2013 if there were 5,120 in 2009
We can use the formula for percent increase:
Percent increase = (New value - Old value) / Old value x 100%
We know that the number of accidents increased by 20%, so we can plug in the values we know:
20% = (New value - 5,120) / 5,120 x 100%
Simplifying this equation, we get:
0.2 = (New value - 5,120) / 5,120
Multiplying both sides by 5,120, we get:
New value - 5,120 = 1,024
Adding 5,120 to both sides, we get:
New value = 6,144
Therefore, there were 6,144 accidents in Miami in 2013.
carly bought a new house for $125,000. the value of the house appreciates approximately 3.5% each year. what will the value of the house be after 10 years
We can use the formula for exponential growth:
Value = Initial value x (1 + growth rate)^time
Initial value = $125,000
Growth rate = 3.5% = 0.035
Time = 10 years
Plugging in these values, we get:
Value = $125,000 x (1 + 0.035)^10
Value = $125,000 x 1.419
Value = $177,375
Therefore, the value of the house after 10 years will be approximately $177,375.
the values in dollars v(x) of a certain truck after x years is represented by the equation v(x)= 32,500 * (0.92)^x To the nearest dollar, how much is the truck worth after 2 years?
We can use the given formula to determine the value of the truck after two years:
v(x) = 32,500 * (0.92)^x
v(2) = 32,500 * (0.92)^2
v(2) = 32,500 * 0.8464
v(2) = 27,511.98
Rounding to the nearest dollar, the truck is worth $27,512 after two years.
the values in dollars v(x) of a certain truck after x years is represented by the equation v(x)= 32,500 * (0.92)^x To the nearest dollar, how much is the truck worth after 3 years?
We can use the given formula to determine the value of the truck after three years:
v(x) = 32,500 * (0.92)^x
v(3) = 32,500 * (0.92)^3
v(3) = 32,500 * 0.7787
v(3) = 25,208.75
Rounding to the nearest dollar, the truck is worth $25,209 after three years.
In 2015 the population of a small town in Florida is 95. If the population increases by 15% every year approximately what will be the population in 2023
To solve this problem, we can use the formula for exponential growth:
Population = Initial population x (1 + growth rate)^time
We know that the initial population in 2015 is 95, and the growth rate is 15%. To find the population in 2023, we need to calculate the time elapsed, which is 8 years (from 2015 to 2023). Plugging in these values, we get:
Population = 95 x (1 + 0.15)^8
Population = 95 x 2.01136
Population = 191.0856
Rounding to the nearest whole number, the population in 2023 will be approximately 191. Therefore, the population in the small town is expected to reach approximately 191 residents in 2023.
Ana's statistics skills have been improving during her senior year at fletcher high school. on her first end-of-the-week assessment, she scored 57 points then she scored 61 and 65 on her next two assessments. if her score rate continues to increase at the same rate what will be her score on the ninth assessment?
We can find the rate of increase in Ana's scores by subtracting each successive score from the previous score:
61 - 57 = 4
65 - 61 = 4
Since the rate of increase is constant at 4 points per assessment, we can use this to predict Ana's score on her ninth assessment, which is six assessments after her third assessment. We can multiply the rate of increase by the number of assessments:
4 x 6 = 24
Then, we can add this value to Ana's third assessment score of 65:
65 + 24 = 89
Therefore, if Ana's score rate continues to increase at the same rate, her score on the ninth assessment will be 89 points.