We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
When compounded annually, 
:
When compounded quarterly, 
:
When compounded monthly, 
:
When compounded daily, 
:
Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.
The answer is 1/40. You find it by substituting the variables for their corresponding numbers then solve. ((-3) + 2(2))/10(4)
Part 1
Let:
y be the total cost
x be the number of tickets
a be fair admission
Since the fair charges $1.25 per ticket, the equation of the line would look like:
y = 1.25x + a
Since Johnny spent $43.75 and bought 25 tickets, we find a by replacing y with 43.75 and x with 25:
43.75 = 1.25×25 + a
Now solve for a
43.75 = 31.25 + a
43.75 - 31.25 = a
a = 12.50
Going back to the first equation:
y = 1.25x + 12.50
Part 2:
a) Let (9,8) be (x1,y1) and (4,-12) be (x2,y2)
The formula for slope is:
b) For the point-slope equation, I'll use (9,8)
Using the formula:
c) For the slope-intercept form, we solve for y in the point-slope formula:
Rational, because they follow a pattern and end. They make sense.
Answer:
x = 5
Step-by-step explanation:
x^2 +2 = 27
x^2 = 27 - 2
x^2 = 25
x = 
x = 5
