A fireman is heading towards a forest fire and needs to know how far away the fire is. The person in the fire tower can determin
e the distance and the angle shown below. What is the distance from the fireman to the fire? Show your work.
1 answer:
Answer: 3.82 miles
Step-by-step explanation:
According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.
So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire , which is also the hypotenuse.
Finally:
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Step 1. Add the total cost of purchasing the luxury items:
You will spend $135.85 purchasing the luxury items.
Step 2. Add the total cost of purchasing the name brand items:
You will spend $80.07 purchasing the name brand items.
Step 3. Subtract the total cost of purchasing the name brand items from the total cost of purchasing the luxury items:
Answer to the original question:
We can conclude that you will spend $55.78 more by purchasing the luxury items.
Question 2:
Part 1. To find the how many months will take to pay the card debt, we are going to use the credit card equation:
where
is the months to pay the card
is the balance
is the monthly payment
is the interest rate in decimal form
We know from our problem that the balance of the credit card is $1,367.90 and the monthly payment is $400.00, so
and 
. To find convert the interest rate to decimal form, we are going to divide the rate by 100%
.
Now that we have all we need, lets replace the values in our credit card equation:
It will take you 3.5 months according to our calculation, but since you pay $400 each month on the due date, we can conclude that it will take you 4 months to pay off the card.
Part 2. To calculate the total amount paid including the interest, we just need to multiply the monthly payment by the number of payments.
We know from our problem that the monthly payment is $400. We also know from our previous calculations that the number of payments is 4, so lets multiply both quantities:
We can conclude that the total amount paid including interest is $1,600
Step 1. Add the total cost of purchasing the luxury items:
You will spend $135.85 purchasing the luxury items.
Step 2. Add the total cost of purchasing the name brand items:
You will spend $80.07 purchasing the name brand items.
Step 3. Subtract the total cost of purchasing the name brand items from the total cost of purchasing the luxury items:
Answer to the original question:
We can conclude that you will spend $55.78 more by purchasing the luxury items.
Question 2:
Part 1. To find the how many months will take to pay the card debt, we are going to use the credit card equation:
where
We know from our problem that the balance of the credit card is $1,367.90 and the monthly payment is $400.00, so
Now that we have all we need, lets replace the values in our credit card equation:
It will take you 3.5 months according to our calculation, but since you pay $400 each month on the due date, we can conclude that it will take you 4 months to pay off the card.
Part 2. To calculate the total amount paid including the interest, we just need to multiply the monthly payment by the number of payments.
We know from our problem that the monthly payment is $400. We also know from our previous calculations that the number of payments is 4, so lets multiply both quantities:
We can conclude that the total amount paid including interest is $1,600