The answer would be 52.7.5
Answer:
The number of the television sets that is model p is 12
Step-by-step explanation:
Here we have total number of television sold = 40
The model p televisions sold for $30 less than the model q televisions
That is $P = $q - $30
Therefore
Let the quantity of the model p sold be X
Let the quantity of the model q sold be X
Therefore
x + y = 40
Total cost of the television = 40 * 141 = $5640
Therefore, 120*x + 90*y = 5640
Plugging in x = 40 - y in the above equation we get
4800 - 30y = 5640 or
y = -28 and
x = 68
If we put y = 40 - x we get
30x + 3600 = 5640
If we put
120*x + 150*y = 5640.........(3)
we get
x = 12 and y = 28
Therefore, since the model p sold for $30 less than the model q, from the solution of equation (3) the number of the television sets that is model p = 12
In order to determine the balance of the account, use the following formula for the amount of money obtained after t years, basen on a compound interest:

where,
P: principal = $12,500
A: amount earnt after t years = ?
r: interest rate in decimal form = 0.045 (4.5%)
n: times at year for the compund interes = 4 (quaterly)
Replace the previous values of the parameters into the formula for A and simplify:

Hence, the balance after 8 years is approximately $17,880.64 in the account.
The interest earnt by the account is given by the difference between the previous result and the principal invesment:
I = $17,880.64 - $12,500 = $5,380.64
Hence, the interest earnt is $5,380.64