$75 for the first month $250 lawnmower
$45 per month after initial visit $135 edger
Includes mowing and edging the $69 hedge trimmer
lawn, trimming the bushes, and $25 rake
raking the leaves.
How long would it take before the Hendersons would recover their costs if they chose to do it themselves over the professional service?
a.
5 months
b.
9 months
c.
10 months
d.
6 months
Professional Service Option Do-It-Yourself Option:
First month lawnmower = $250
Initial visit = $135
Price for mowing and edging = $69
Price for lawn and bushes trimming = $ 25
Hence, total cost becomes = 250+135+69+25 = $479
Professional service cost for 1 month lawnmower = $75
Professional cost for visit for 11 months (1st visit costs $135) = $45
Total cost for 11 months = 45*11 = $495
Total professional cost = 495+75 = $570
Now, subtracting the professional cost and do it yourself cost we get;
$570-$479=$91.
This $91 is for 2 months worth of work. Hence, months needed to recover costs = 12-2 = 10 months
Hence, the answer is 10 months.
For this case, what we must do is solve the following system of equations: tan (50) = h / x tan (40) = h / (x + 50)
Solving the system we have: (x + 50) * tan (40) = h (x) * tan (50) = h
Matching: (x + 50) * tan (40) = (x) * tan (50)
Rewriting: x (tan (50) - tan (40)) = 50 * tan (40) x = 50 * tan (40) / (tan (50) - tan (40)) x = 118.9692621
Substituting: h = (x) * tan (50) h = (118.9692621) * tan (50) h = 141.7820455
B. 141.8ft
Answer:
It takes 4.5 hours to travel 279 miles or it takes 4 hours 30 minutes to travel 279 miles
Step-by-step explanation:
Consider the provided information.
It takes 6 hours to travel 372 miles
It can be written as:
6 hours = 372 miles
6 hours ÷ 372 = 1 miles
Now we need to calculate how many hours will it take to travel 279.
Multiply both the sides by 279.
We can convert 4.5 hours into minutes:
Here 0.5 represents the half of 60 minutes i.e 30 minutes.
Thus it take 4 hours 30 minutes to travel 279 miles.
Hence, it takes 4.5 hours to travel 279 miles or it takes 4 hours 30 minutes to travel 279 miles
Joseph has $80 in his bank account and earns $32 each day.
Joseph had $32 in his bank account and deposited another $80.
Joseph has $32 in his bank account and earns $80 each day.
Answer:
Option (2) best matches the given the linear relationship y = 32x + 80
Step-by-step explanation:
Given linear relationship as y = 32x + 80
We have to find the best match from the given options to the given the linear relationship.
1) Joseph has $80 in his bank account and spends $32 each day.
Let the money Joseph spend each day be $x
Since, the amount one spend gets deducted from the money one have.
So, given statement is represented as y = 80 - 32x .
2) Joseph has $80 in his bank account and earns $32 each day.
Let the money Joseph earns each day be $x
Since, the amount one earns gets added to the money one have.
So, given statement is represented as y = 80 + 32x .
3) Joseph had $32 in his bank account and deposited another $80.
Since, he is depositing money in account so it gets add up
So, given statement is represented as y = 32 + 80 = 112
4) Joseph has $32 in his bank account and earns $80 each day.
Let the money Joseph earns each day be $x
Since, the amount one earns gets added to the money one have.
So, given statement is represented as y = 32 + 80x .
Out of all four option, option (2) best matches the given the linear relationship y = 32x + 80
The solution to the equation is .
To solve the equation log(x) + log(8) = 2, we can use the properties of logarithms.
The equation can be simplified using the logarithmicproperty:
Rewrite the equation in exponential form:
To solve for x, divide both sides of the equation by 8:
Therefore, the solution to the equation is .
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