Answer:
$56,558.1
Step-by-step explanation:
This is a question on compound interest.
The formula to calculate the Total Amount based on compound interest is given as:
A = P( 1 + r/n) ^nt
A = Total or Final amount in the account after t years
P = Principal/ Initial amount invested=$35,000
r = Interest rate = 12%
n = compounding Frequency = daily = using 30 days in a month = 30 × 12 = 360 days
t = time in years = 4
A = $35,000( 1 + 0.12/360)^360 × 4
A = $56558.08
Approximately to the nearest cent ≈ A = $56,558.1
Therefore, Priscilla should be expecting $56,558.1 in the account after 4 years.
Given :
The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.
Guitar lessons have a one-time fee of $36 plus $8 for each lesson.
To Find :
After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.
Solution :
Mathematical expression of piano lesson :

Mathematical expression of guitar lesson :

( Here, x and y are number of lessons )
Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.
Now, given constraint :
Hence, this is the required solution.
Answer:
(22, 23)
Step-by-step explanation:
x + ( x + 1) = 45
2x + 1 = 45
2x = 45 - 1
2x = 44
x = 44 ÷ 2
x = 22
22, 23