Tony buys a CD that is priced at $13.59. He has a coupon for $1.85 off. He pays with a $20 bill. Which is the best whole number
2 answers:
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Answer:
The ballonist is at a height of 3579.91 ft above the ground at 3:30pm.
Step-by-step explanation:
Let's call:
h the height of the ballonist above the ground,
a the distance between the two observers,
the horizontal distance between the first observer and the ballonist
the horizontal distance between the second observer and the ballonist
and
the angles of elevation meassured by each observer
S the area of the triangle formed with the observers and the ballonist
So, the area of a triangle is the length of its base times its height.
(equation 1)
but we can divide the triangle in two right triangles using the height line. So the total area will be equal to the addition of each individual area.
(equation 2)
But we can write in terms of
, like this:
And for will be the same:
Replacing in the equation 2:
And replacing in the equation 1:
So, we can replace all the known data in the last equation:
Then, the ballonist is at a height of 3579.91 ft above the ground at 3:30pm.
Answer:
a) $161.8
b i) Approximately 327.7 hours
ii) The cost of saving is less but the opportunity cost of saving can be higher with regards to technology and regulation
Step-by-step explanation:
The amount Mary would like to save, FV = $10,000
The time Mary over which Mary intends to save the amount, t = 5 years
Therefore, the number of monthly payments, n = 12
a) The amount in interest the bank pays compounding, i = 1.2% per annum
The amount that Mary will deposit each month is given as follows;
The compound interest formula is given as follows;
Where;
PMT = The monthly payment
Therefore, we get;
PMT = 10,000/((1 + 0.012/12)^(60) - 1)/(0.012/12)) ≈ 161.8
The amount she needs to deposit monthly, PMT ≈ $161.8
b i) Given that the minimum wage varies and we have a minimum wage here is officially approximately $79, which is 160 hours a month work
The number of hours work needed = 161.8/79 × 160 ≈ 327.7 hours a month approximately
b ii) Given that the interest rate for saving is lower than the interest rate for borrowing, the amount paid by saving is much lesser than the amount paid back when borrowing, therefore, it is more cost effective to save
However, while saving, changes may take place, such as the use of what is being saved for, therefore, it can be more beneficial to borrow and make use of the items now while they are still available and acceptable, such as the drive towards net zero is making fuel based cars less popular with the drive being towards electric cars.