Answer:
D
Step-by-step explanation:
We know that the equation for the depreciation of the car is:
Where y is the current cost, A is the original cost, r is the rate of depreciation, and t is the time, in years.
We are told that the value of the car now is half of what it originally cost. So:
Substitute this for y:
We also know that the rate of depreciation is 10% or 0.1. Substitute 0.1 for r:
So, let's solve for t. Divide both sides by A:
Subtract within the parentheses:
Take the natural log of both sides:
Using the properties of logarithms, we can move the t to the front:
Divide both sides by ln(0.9):
Use a calculator. So, the car is approximately:
Our answer is D.
And we're done!
Answer:
1. The information from the problem illustrates the number of hours flo and bryan works jointly to mow the lawn.
2. The question demonstrates the numbers of hours worked by the two individuals i.e. flo and bryan to mow the lawn. Find the numbers of hours worked i.e h=? by flo and bryan to mow the lawn.
3. H/3+h/6=1
Take LCM i.e. (2H+H)/6=1
Now add H and and move the 6 on the other side and multiply, that becomes
3H=6
Now take 3 on the other side and divide by 6, which becomes the answer i.e. H=2.
4. Variables are H and values are the hours worked.
5. The problem in this question , why the number of hours are missing which we have to find and gives it a sense that how many hours needed to mow a lawn.
6. The time takes for both of them to mow lawn is 2 hours, which is flo works more than bryan to mow a lawn.
7. If you want to check that your anser is correct put the answer in the equation, if both sides come same then the answer is correct, for instance in the same quwstion where answer is H=2. Now put H in the equation i.e.
H/3+H/6=1
2/3+2/6=1
4+2/6=1
6/6=1
1=1
Hence proved. Enjoy :)
4 hundredths ok hi done finished easy
FOIL method
First:
u squared times u squared equals to u to the fourth.
Outer and Inner:
8u squared + u squared equal 9u squared. Remember, the exponents don't change when adding!
Last:
8 times 1 equals 8
A is the answer to your question