Answer:
$259 532
Step-by-step explanation:
Step 1. Calculate the monthly payments on a 30-year loan.
The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate
of r % is
<em>Data:
</em>
We must express the interest rate on a monthly basis.
i = 6.55 %/yr = 0.545 83 %/mo = 0.005 4583
A = $425 500
n = 360 mo
<em>Calculation:
</em>
P = $2703.46
B. Total Payment (T) after 8 years
T = nP
T = 96 × 2703.46
T = $259 532
Michael will have paid $259 532 at the end of eight years.
What are factors of -40?
(-20)(2)
(-10)(4) (sum of these factors is 6, which is not what we wanted)
(-5)(8) = -40 and the sum of the factors (-5) and (8) is 3.
{-5, 8} is the list of factors of -40 that add up to 3.
Answer:
Distance covered by the bird before meeting the water is: 51.264 ft
Step-by-step explanation:
Notice that if the bird catches the fish in 2 seconds, then the fish was able to dive down a total of 6 feet before being caught:
So the bird needs to fly in the direction of the hypotenuse of a right angle triangle (see attached image) that has one leg of length (24 ft + 6 ft) = 30 ft, and another one 22.5 ft (half the width of the river.
Such hypotenuse is (using Pythagoras theorem):
Now, in order to find the distance D the bird covers from the top of the tree to the water (marked in red in our image), we use similar triangles. The bigger triangle is that of legs 60 ft and 22.5 ft and hypotenuse 64.08 ft.
The smallest triangle we use in the proportion is the one shaded yellow in the image, which has one leg equal to 24 ft, and unknown hypotenuse:
So we make the proportion between known legs, and hypotenuses:
18:12 - is the ratio - I don’t know weather 3 or 2 represents Leo so that’s just the amount
