<span>
1. y=-4x+5
2. y=3x-8
3. Roberta had $50 before she started to save money each week.</span><span>
</span>
Step-by-step explanation:
this is the answer
Given:
To verify:
for the given values.
Solution:
We have,
We need to verify .
Taking left hand side, we get
Taking LCM, we get
Taking right hand side, we get
Taking LCM, we get
Now,
Hence proved.
Answer: A
Step-by-step explanation: The Answer Would Be A. The Equation Shown Is Both A Relation And A Function.
(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.
