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
Answer:
c. f(n) = (n+1)^2 + 2
Step-by-step explanation:
It is c. because...
f(n) = (1+1)^2 + 2
2^2 + 2
4 + 2 = 6 (first term)
f(n) = (2+1)^2 + 2
3^2 + 2
9 + 2 = 11 (second term)
f(n) = (3+1)^2 + 2
4^2 + 2
16 + 2 = 18 (third term)
Answer:50%
Step-by-step explanation: The correct way to calculate what percentage more attended the play is to first subtract the expected number from the actual number. 15 - 10 = 5 more attended than was expected. Next, you need to divide the 5 additional people by the 10 that were originally expected. 5 divided by 10 = 50%
The area of the parallelogram spanned by the given vectors is equal to the magnitude of their cross product.
(i + j + k) × (-2i + 3j + k)
= -2 (i × i) - 2 (j × i) - 2 (k × i)
… + 3 (i × j) + 3 (j × j) + 3 (k × j)
… + (i × k) + (j × k) + (k × k)
= - 2 (j × i) - 2 (k × i) + 3 (i × j) + 3 (k × j) + (i × k) + (j × k)
= 2 (i × j) - 2 (k × i) + 3 (i × j) - 3 (j × k) - (k × i) + (j × k)
= 5 (i × j) - 3 (k × i) - 2 (j × k)
= 5 k - 3 j - 2 i
Then the area of the parallelogram is
||-2 i - 3 j + 5 k|| = √((-2)² + (-3)² + 5²) = √38
Answer:so its A
Step-by-step explanation:
