First find the total payments
Total paid
200×30=6,000 (this is the future value)
Second use the formula of the future value of annuity ordinary to find the monthly payment.
The formula is
Fv=pmt [(1+r/k)^(n)-1)÷(r/k)]
We need to solve for pmt
PMT=Fv÷[(1+r/k)^(n)-1)÷(r/k)]
PMT monthly payment?
Fv future value 6000
R interest rate 0.09
K compounded monthly 12
N=kt=12×(30months/12months)=30
PMT=6000÷(((1+0.09÷12)^(30)
−1)÷(0.09÷12))
=179.09 (this is the monthly payment)
Now use the formula of the present value of annuity ordinary to find the amount of his loan.
The formula is
Pv=pmt [(1-(1+r/k)^(-n))÷(r/k)]
Pv present value or the amount of his loan?
PMT monthly payment 179.09
R interest rate 0.09
N 30
K compounded monthly 12
Pv=179.09×((1−(1+0.09÷12)^(
−30))÷(0.09÷12))
=4,795.15
The answer is 4795.15
Answer:
17/24 or 0.708
Step-by-step explanation:
find a common denominator to solve
Answer:
870
Step-by-step explanation:
you take the calories per serving, 145, and multiply it by the number of servings in the bag, 3. this gives you 435, the number of calories in a bag. then you take the number of calories in a bag times the number of bags. you get 870
Answer:
The answer to the question is;
The distance the tip of the minute and travels as time progresses from 12:00 to 12:25 is 18.33 in.
Step-by-step explanation:
To solve the question, we note that
Number of minutes in one complete revolution of the clock = 60
Position travel of the minute hand = 12:00 to 12:25 = 25 minutes
Fraction of complete revolution traveled by minute hand = 25/60
Distance of one complete revolution = Circumference of circle = 2·π·r
Length of minute hand = 7 inches = r
Distance of one complete revolution = 2 × π × 7 = 43.98 in
Distance traveled by minute hand = 25/60×43.98 in = 18.33 in.
Answer:
It is a function
Step-by-step explanation:
A function is of the form:
![\left[\begin{array}{c}x_1&x_2&x_3\\-&-&-\\x_n\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx_1%26x_2%26x_3%5C%5C-%26-%26-%5C%5Cx_n%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{c}y_1&y_2&y_3\\-&-&-\\y_n\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dy_1%26y_2%26y_3%5C%5C-%26-%26-%5C%5Cy_n%5Cend%7Barray%7D%5Cright%5D)
Where each of the x values must be distinct.
The x values are referred to as domain while the y values are called range.
Having said that, the given data can be represented as follows:
![\left[\begin{array}{c}-3&1&6\\7&12\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-3%261%266%5C%5C7%2612%5Cend%7Barray%7D%5Cright%5D)
----------- ![\left[\begin{array}{c}7&-8&-6\\-8&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D7%26-8%26-6%5C%5C-8%262%5Cend%7Barray%7D%5Cright%5D)
<em>From the representation above, none of the x values are repeated.</em>
<em>Hence, it is a function</em>
