Answer:
Step-by-step explanation:
Se simplifica inicialmente la fórmula en términos de las funciones trigonométricas fundamentales (Initially, the formula is simplified in terms of fundamental trigonometric functions):
Megan’s TV had a base price of $189 and the sales tax was 6.88%. Over the next four years, the TV consumed an average of $0.06 o
2 answers:
Answer:
lifetime cost of the Megans TV is $347 .66 .
Step-by-step explanation:
As given
Megan’s TV had a base price of $189 and the sales tax was 6.88%.
6.88 % is written in the decimal form.
= 0.0688
Sales tax price = 0.0688 × Base price
= 0.0688 × 189
= $ 13 (Approx)
As given
Over the next four years, the TV consumed an average of $0.06 of electricity every day.
As 1 year contains 365 days and a leap year contains 366 days .
Thus
Electricity consumed in four years = Average electricity × (3× Number of days in one years + Number of days in a leap year )
= 0.06 × ( 3 × 365 + 366)
= 0.06 × (1095 + 366)
= 0.06 × 1461
= 87.66
As given
It also needed repairs twice, costing $29 each time.
Repair cost = 2 × Cost of repair
= 2 × 29
= $58
Thus
Lifetime cost of the Megans TV = Base cost + Sales price cost + Electricity consumed in four years + Repair cost .
Putting all the values in the above
Lifetime cost of the Megans TV = $189 + $13 + $87.66 + $ 58
= $ 347.66
Therefore the lifetime cost of the Megans TV is $347 .66 .
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Answer:
Step-by-step explanation:
Let's call the two numbers and
.
Given these variables, we can say: , based on the first sentence in the problem.
Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:
To solve, we can simply substitute in for
in the second equation and solve.
- Set up
- Get terms on the left side to a common denominator for easier addition
- Simplify
- Cross multiplication (
)
- Simplify
- Subtract
from both sides of the equation
- Factor left side of the equation
- Zero Product Property
Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,
,
Since is not positive in this case,
is not a solution.
Thus, is our only solution. In this case,
,
which means that the smaller number is 14 and the larger number is 28.