Answer:
a) $1199.10
b) interest: $1000.00
c) principal: $199.10
Step-by-step explanation:
a) The monthly payment can be found using a financial calculator or using the amortization formula:
A = P(r/12)/(1 -(1+r/12)^(-12t))
for Principal P, annual interest rate r, and time t years.
Filling in the given values and doing the arithmetic yields ...
A = $200,000(0.06/12)/(1 -(1+0.06/12)^(-12·30)) = 1000/(1 -1.005^-360)
A ≈ $1199.10
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b) The first month's interest is the monthly interest rate times the initial loan balance:
= (0.06/12)·(200,000) = 1000.00 . . . . dollars in interest
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c) The first month's payment to principal is the difference between the payment amount and the amount to interest:
$1199.10 -1000 = $199.10 . . . . . first month's payment on principal
Average rate of change is 0
Interpretation: The crop yield did not change from year 5 to year 15
<em><u>Solution:</u></em>
The function that models the yield is:
The average rate of change of f(x) from x = a to x = b is given by the formula:
Find and interpret the average rate of change from year 5 to year 15
<em><u>Thus average rate of change:</u></em>
Thus Average rate of change is 0
Interpretation: The crop yield did not change from year 5 to year 15.
Multiplication and distributive property are your friends for this problen
The triangle is isosceles as two of its sides are equal
⇒ Angles opposite equal sides are equal
⇒ 55°=55°
Now with the help of the Angle-Sum-Property of a Triangle,
⇒ 55°+ 55°+ x= 180°
= x= 180°- 110°
= x= 70°
