Answer:
(a). $1465.42
(b). $214.58
Step-by-step explanation:
We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.
(a) To find the cost of the TV, we will use monthly payment formula.
, where,
R = Periodic payment,
P = Loan amount,
i = Monthly interest rate in decimal form,
n = Number of total payments.
We know that total cost of TV would be equal to down payment plus amount of loan that is:
Therefore, the total cost of the TV would be $1465.42.
(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).
To find the total amount of interest paid, we will subtract amount of loan from total payment.
Therefore, the total amount paid in interest would be $214.58.
Answer:
81.12 cm²
Step-by-step explanation:
The area for a semicircle can be figured with this formula: (πr²)/2. The triangle's area formula is bh/2.
(3.14 * 4²)/2 + (14 * 8)/2 <em>(Work the operations in parentheses first.)</em>
(3.14 * 16)/2 + 112/2
50.24/2 + 112/2 (<em>Divide 50.24 by 2. Do the same for 112.)</em>
25.12 + 56 (<em>Add 25.12 & 56.)</em>
81.12 cm²
The area of the figure is 81.12 cm².
Answer:
Step-by-step explanation:
First problem. If you want a parallel to a given line, you keep the slope.
Then we use the point-slope form of a line
and we plug in there everything we need.
The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.
At this point we have everything, let's replace and write down the line in a better looking form
(cos(x) + cos(y))^2 + (sin(x) - sin(y))^2 Remove the brackets
cos^2(x) + cos^2(y) + 2cos(x)*cos(y) + sin^2(x) - 2(sin(x)*sin(y) + sin^2(y) Combine these two in bold to make 1 because sin^2(x) + cos^2(x) = 1
1 + cos^2(y) + 2cos(x)*cos(y) - 2*sin(x)*cos(y) + sin^2(y)
These two in bold also make 1
2 + 2cos(x)*cos(y) - 2*sin(X)*sin(y) Bring out a common factor of 2
2 +2(cos(x)*cos(y) - sin(x)*sin(y) )
but cos(x+y ) = cos(x)*cos(y) - sin(x)*sin(y)
2 + 2* cos(x + y) is your final answer.
3/10 so out of the 10 7 people score above average because 10-3=7 and 7+3= 10 7 and 3 make a whole please give me points and mark as brainless
