Answer: 11378.58 ft
Step-by-step explanation:
1. Draw a figure like the one attached, where A is the position of the airplane and B and C are the positions of the cars.
2. The distance between the cars is the length BC, then, you need to calculate the measure of BD and DC to add them and obtain BC.
<h2> 3. You know the opposite side and the angles of depression, then, you can calculate the distance between the cars as following:</h2>
1.
-2x = 10
x = 10/(-2)
x = -5
2.
1/2 x = 5
x = 5 * 2
x = 10
3.
5x = -20
x = -20/5
x = -4
4.
9x = 36
x = 36/9
x = 4
Answer:
$149.66
Step-by-step explanation:
Step 1
Calculate Total Amount payable to the bank using compound interest
Total Amount payable (A) =
P(1 + r/n)^nt
P = Principal = $2000
r = Interest rate = 9% = 0.09
n = compounding interest = quarterly = 4
t = time in years = 2
Total Amount payable
= 2000(1 + 0.09/4)^0.09 × 2
A = $ 2,389.66
Interest = A - Principal
= $ 2,389.66 - $ 2,000.00
I (interest) = $ 389.66
Step 2
Calculate the Total amount payable to his uncle using simple interest.
Total Amount (A) = P(1 + rt)
P = Principal = $2000
r = Interest rate = 6% = 0.06
t = time in years = 2
A = 2000(1 + 0.06 × 2)
A = $2,240
A - Principal
= $ 2,240 - $ 2,000.
I (interest) = $240
Step 3
The amount of money you will save by borrowing the money from your uncle is calculated as:
Amount payable to the bank - Amount payable to your uncle
= $ 2,389.66 - $2,240
= $149.66
Therefore, the amount of money you will save by borrowing the money from your uncle is $149.66
Answer:
98
Step-by-step explanation: Inverse operations
-14 x -7 = 98
98 / 7 = 14
98 / -7 = -14
