The formula for depreciation is:
Where x = Initial value,
y= Amount after depreciation.
r= Rate of depreciation,
t = time (in years)
According to given problem,
x = 1040, y= 944 and t = 12 months =1 year.
So, first step is to plug in these values in the above formula, So,
944 = 1040 (1 -r)
Divide each sides by 1040.
0.907692308 =1 - r
0.907692308 - 1 = -r Subtract 1 from each sides.
-0.092307692 = -r
So, r = 0.09 or 9%.
Now plug in 0.09 in the above equation to get the depreciation equation. So,
So, 
b) To find the value of the bike after 5 months,
plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.
So, 
y = 1040 * 0.961465659
y = 999.9242852
y = 1000 (Rounded to nearest integer).
Hence, the value of the bike after 5 months is $1000.
Answer: A = 2000(1.05)^5
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $2000
r = 5% = 5/100 = 0.05
n = 1 because it was compounded once in a year.
t = 5 years
Therefore, the equation that shows how much money will be in the account after five years is
A = 2000(1 + 0.05/1)^1 × 5
A = 2000(1.05)^5
Answer:
Mean: 50.8 or 51 (rounded)
Median: 51.5 or 52 (rounded)
Step-by-step explanation:
To find the mean I added all the numbers then divides my sum but the number of numbers.
To find the median I listed the numbers from least to greatest.There are two middle numbers so I added the two numbers and divided the same by 2.
Rate = (150 miles)/(3 hrs) = 50 mph
so . . .
(50 mph)*(time) = 400 miles
*divide both sides by 50 mph
time = (400 miles)/(50 mph) = 8 hrs
time = 8 hrs
Step-by-step explanation:
