Answer:
π (Pi) is a famous irrational number.
Step-by-step explanation:
https://www.google.com/url?sa=i&source=images&cd=&ved=2ahUKEwiOs5uTkYHnAhUHVK0KHQG8D_gQjRx6BAgBEAQ&url=https%3A%2F%2Fwww.mathwarehouse.com%2Farithmetic%2Fnumbers%2Frational-and-irrational-numbers-with-examples.php&psig=AOvVaw1ZOfWq7B8H6G4s5Qp78RI-&ust=1579024048084516
Multiply 4 and 30. If the answer is 120, then you are correct.
Answer: -20, 48
Step-by-step explanation: 5 x -4 = -20 6 x 8 = 48
(a) Profit equation
Profit = revenue - cost
unit profit = revenue per unit - cost per unit = 16-7.3=8.7
profit
p(x) = (unit profit)*x=8.7x
(b) profit over time
sales,
x(t) = 1000 * (100 * (ln(t^2+87)+48.8)
=100000 ln(t^2+0.87)+48800
profit,
P(t)
=p(x(t))-5200000
=p(100000 ln(t^2+0.87)+48800)-5200000
=8.7(100000 ln(t^2+0.87)+48800)-5200000
=870000*ln((t^2+0.87))-4775440
(c)
Break even quantity is when p(x)-5200000=0,
solving,
8.7x-5200000=0 =>
x=5200000/8.7
=597701.1
=597702 (rounded to next integer)
(d)
Time t to reach break even is when
P(t)=0
or
solve for t in
870000*ln((t^2+0.87))-4775440=0
ln(t^2+0.87)=4775440/870000=5.489
raise powers to base of e
t^2+0.87=e^(5.489)=242.018
t=sqrt(242.018-0.87)=15.53 months.
Multiplication rate is 10¹³/100=10¹¹ per hour.
After 1000 hours there are 10¹¹×1000=10¹⁴
