Answer:
f(x) = 26500 * (0.925)^x
It will take 7 years
Step-by-step explanation:
A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. Then use your formula to determine when the value of the car will be $15,000 to the nearest year.
To find the formula we will use this formula: f(x) = a * b^x. A is our initial value which in this case is $26500. B is how much the value is increasing or decreasing. In this case it is decreasing by 7.5% per year. Since the car value is decreasing we will subtract 0.075 from 1. This will result in the formula being f(x) = 26500 * (0.925)^x. Now to find the value of the car to the nearest year of when the car will be 15000 we plug 15000 into f(x). 15000 = 26500 * (0.925)^x. First we divide both side by 26500 which will make the equation: 0.56603773584=(0.925)^x. Then we will root 0.56603773584 by 0.925. This will result in x being 7.29968 which is approximately 7 years.
You cannot solve this equation, because you have no y or x values. However, you can change the equation to equal x.
Answer:
225 students
Step-by-step explanation:
Total number of students = 900 students
percent that bring lunch to school everyday = 25%
Number of student that bring lunch to school = 25% of 900
Number of student that bring lunch to school = 0.25 * 900
Number of student that bring lunch to school = 225
Hence 225 students bring lunch to school everyday
Answer:
x = 50.60 cm
Step-by-step explanation:
Given triangles ΔMAB and ΔMNP are smilar accordingly their corresponding sides are proportional.
But first we will determine the size of the side MA:
MA = MN - AN = 46.2 - 14 = 32.2 cm
Now we will make proportion:
MN : MA = MP : MB => 46.2 : 32.2 = 72.6 : x
When we multiply external and internal members we get:
46.2 x = 72.6 · 32.2 => x = 72.6 · 32.2 / 46.2 = 2337.72 / 46.2 = 50.60 cm
x = 50.60 cm
God with you!!!
