Answer:
a)
AB is on the latitude 30°N.
<u>Find AB:</u>
- AB = 2*3.142*6400*cos 30°*(32+35)/360 = 6482.15 km
BC is along longitude 35°W
<u>Find BC:</u>
- BC = 2*3.142*6400*(30 + 20)/360 = 5585.77 km
<u>Total distance traveled:</u>
- 6482.15 + 5585.77 = 12067.92 km
<u>Convert the distance to nautical miles:</u>
12067.92/1.86 = 6488.13 nautical miles
b)
<u>Find the average speed:</u>
- 6488.13/22 = 294.92 nautical miles / hour
<u>Note</u>. <em>This is unrealistically high speed for a ship, this must be a plane or the time given wrong.</em>
In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula:

where

is the monthly payment

is the amount

is the interest rate in decimal form

is the number years
First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:

We also know from our question that

and

, so lets replace those values into our formula to find the monthly payment:


We can conclude that the monthly payment during the initial period is $1071.58<span />
Answer:
B
Step-by-step explanation:
The zeros ( where the graph crosses the x- axis ) are x = 2 and x = 6
The corresponding factors are (x - 2) and (x - 6) and the equation is the product of the factors, so
y = (x - 2)(x - 6) ← expand using Foil
y = x² - 8x + 12 → B
Answer:
x = $42.8
Step-by-step explanation:
Let
Amount of money shalee has in Sept = $x
Shalee October earnings = $48.24
Total money = $x + $48.24
She spent 3/4 of the money on dress
3/4 of (x + 48.24) = $68.28
3/4 * x + 48.24 = 68.28
3/4x + 144.72/4 = 68.28
3/4x + 36.18 = 68.28
3/4x = 68.28 - 36.18
3/4x = 32.10
x = 32.10 ÷ 3/4
= 32.10 × 4/3
= 128.4/3
= 42.8
x = $42.8