Answer:
a. 28
Step-by-step explanation:
Given:

We need to evaluate given expression to find the value of 'h'.
Solution:

Now first we will apply Subtraction property of equality and subtract both side by 73.18 we get;

Now we will use Division property of equality and divide both side by 2.95 we get;

Hence After evaluating given expression we get the value of 'h' as 28.
For this case we have the following variables:
x: the number of minutes of television Sam watched each day
y: the number of minutes she spent exercising
Then, we have the following function that models the problem:

if she spends 30 minutes watching television we have x = 30.
Substituting in the given equation we have:

Answer:
the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day is:
72 minutes
Y = -5/4x - 3
Step By Step Explanation
2 = -5/4(-4) + b
2 = 5 + b
-5 -5
-3 = b
(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.