Answer:
0.6x < 12.5
x < 20.83 days
Step-by-step explanation:
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Write an inequality that represents the number of days Diego's father can drive the car without the warning light coming on. Explain each part of your inequality
Car fuel capacity = 14 gallons
Fuel capacity that shows warning light = 1.5 gallons
Fuel capacity without warning light = Car fuel capacity - Fuel capacity that shows warning light
= 14 gallons - 1.5 gallons
= 12.5 gallons
Fuel used per day = 0.6 gallons
Let
x = number of days Diego's father can drive the car without the warning light coming on
The inequality is
0.6x < 12.5
Solve for x
x < 12.5/0.6
x < 20.83 days
<span>Only –3 is an extraneous solution.
</span>
Answer:
n = 22
Step-by-step explanation:
We will use the formula for the present value of an ordinary annuity :
where P = periodic payment
r = rate per period
n = number of periods
Given P = PMT = $400, P.V. = $8,000, i = 0.01, and we have to find n.
Now we put the values in the formula
After rearranging we have
= 1 - 0.2
= 0.8
Taking log on both sides
-n log 1.01 = log 0.8
= 22.4257
Therefore, n = 22
So there are total 22 payments
The total cost of the car would be $4842.08.
Step-by-step explanation:
To convert from percent to decimal you divide by 100 and remove the "%" sign. So, 6% would be ".06". Times ".06" by $4,568 to get a tax amount of $274.08. Add $274.08 to $4,568 to get $4842.08.
<h3>Hope it helps</h3>
Answer:
Second answer
Step-by-step explanation:
We are given and . What we have to find are and .
First, convert to via trigonometric identity. That gives us a new equation in form of :
Multiply both sides to get rid of the denominator.
Then divide both sides by -3 to get .
Hence,
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Next, to find , convert it to via trigonometric identity. Then we have to convert to via another trigonometric identity. That gives us:
It seems that we do not know what is but we can find it by using the identity for .
From then .
Therefore:
Then use the surd property to evaluate the square root.
Hence,
Now that we know what is. We can evaluate which is another form or identity of .
From the boxed values of and :-
Then rationalize the value by multiplying both numerator and denominator with the denominator.
Hence,
Therefore, the second choice is the answer.
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Summary
Let me know in the comment if you have any questions regarding this question or for clarification! Hope this helps as well.