Answer:
A
Step-by-step explanation:
A good trick for trigonometric functions is to remember SOHCAHTOA:
Sin=<u>O</u>pposite over <u>H</u>ypotenuse
Cos=<u>A</u>djacent over <u>H</u>ypotenuse
Tan=<u>O</u>pposite over <u>A</u>djacent
The red arrows on the attachment indicate where opposite, hypotenuse, and adjacent are for angle A.
So in this case, the sin of angle A (opposite over hypotenuse) would be 
and cos A (adjacent over hypotenuse) would be 
.
I hope this helps!
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
A) You can have
1-1; 1-2; 1-3; 1-4; 1-5; 1-6; 2-2; 2-3; 2-4; 2-5; 2-6; 3-3; 3-4; 3-5; 3-6; 4-4; 4-5; 4-6; 5-5; 5-6; 6-6
Those are all possible outcomes
B) Only 6 of the options include at least one three
The fraction is: 6/21 or simplified 2/7
C) To find this answer we need a percentage
to find that...
6/21 and ?/100
(When writing put it as a fraction to visually see the next part)
We will cross-multiply: the ? will be represented by x
(6 times 100) + (21x)
600 = 21x
Now divide 600 by 21 to get about 28.6
Since 28.6 < 34 then we would get a probability of less than 34 out of 100
