Answer:
t= 12.9 years
Step-by-step explanation:
Value after t years = initial value ( 1 - r )^t
Where,
Value after t years= $5000
Initial value = $22,400
r= depreciation rate = 11%
t= length of time (years)
Value after t years = initial value ( 1 - r )^t
5000 = 22,400 ( 1 - 0.11)^t
5000 = 22,400(0.89)^t
Divide both sides by 22,400
(0.89)^t = 5000 / 22,400
(0.89)^t = 0.2232
Take the log of both sides
t log 0.89 = log 0.2232
t= log 0.2232 / log 0.89
= -0.6513 / -0.0506
= 12.87
t= 12.9 years
Answer:
the new scale is the same length as the original scale
Answer:
5.14 mi/h
Step-by-step explanation:
To find the average speed, we simply find the total distance traveled by Tom and divide that by the total time the entire journey took him.
Average speed = (total distance traveled) / (total time taken)
TOTAL DISTANCE TRAVELED
He traveled 3 miles to and 3 miles fro. Hence:
3 + 3 = 6 miles
TOTAL TIME TAKEN
He spent ½ hr to go and ⅔ hr to return back. Hence:
½ + ⅔ = 7/6 hr
Therefore, the average speed is:
v = 6 / (7/6)
v = 36 / 7 = 5.14 mi/h
Tom's average speed was 5.14 mi/h.
Answer:
(3)11
Step-by-step explanation:
We are given that
We have to find the sum of positive roots of the equation.
Factor of 336
2,3,4,6,8,7,
Let x=2
x=2 is not the root of equation
x=-2
Hence x=-2 is the root of equation.
x+2 is a factor of equation.
x=3
Therefore, x=3 is the root of equation.
Positive roots are 3 and 8
Sum of positive roots=3+8=11
Option (3) is true.
<span>If Mary earns 7$ an hour, we need to multiplicate 7$ by the number of hours worked for the entire week so we can get the salary per week. And when we want to know how many hours she had worked, we have to "transform" the equation :
Salary per week = salary per hours x worked hours
Here, we know to informations : salary per hours and salary per week.
Worked hours = salary per week / salary per day
Worked hours = 143.50 / 7
Worked hours = 20.5
The greatest number of hours thats he works is 20h30.</span>
