A ship at position (1, 0) on a nautical chart (with north in the positive y direction) sights a rock at position (6, 5). What is
1 answer:
Answer:
The vector joining the ship to the rock is t= 7 i + 5 j
The direction is 0.9505 radians east of north.
Step-by-step explanation:
The position vector of the ship:
r= 1 i + 0 j
The position vector of the ship:
s= 6 i + 5 j
The vector joining the ship to the rock is:
t = r + s
t = (1 i + 0 j) + (6 i + 5 j)
t = 7 i + 5 j
The bearing of the rock to the ship is:
Θ= = 0.9505 radians
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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
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