¿Cuál es la probabilidad de que al lanzar un dado se obtenga un número impar y menor que 5?
1 answer:
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Answer:
Part a) The budget is $40
Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8
Part c)
Part d) see the explanation
Step-by-step explanation:
The complete question in the attached figure
Part a) What is your budget?
The budget is given by the equation
y=40
therefore
The budget is $40
Part b) How much does a gallon of gasoline cost? how much does a car wash cost?
Let
y ------> the cost of a gallon of gasoline plus the cost of a car wash
x -----> the amount of gasoline in gallons
we have
y=3.55x+8
In this problem
For x=0
y=3.55(0)+8=8
The y-intercept is the cost of the car wash
so
The cost of the car wash is $8
Find the cost of one gallon of gasoline
we know that
The slope of the linear equation is
m=$3.55 per gallon
therefore
The cost of one gallon of gasoline is $3.55
Part c) Write an inequality that represent the possible amounts of gasoline you can buy
we have
Solve for x
Part d) Use the graph to estimate the solution of the inequality in part c)
we have the system
y=40
y=3.55x+8
The solution of the system is the intersection point both graphs
Looking at the graph the intersection point is about (9,40)
That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons
Answer:
A. 7,348
Step-by-step explanation:
P = le^kt
intitial population = 500
time = 4 hrs
end population = 3,000
So we have all these variables and we need to solve for what the end population will be if we change the time to 6 hours. First, we need to find the rate of the growth(k) so we can plug it back in. The given formula shows a exponencial growth formula. (A = Pe^rt) A is end amount, P is start amount, e is a constant that you can probably find on your graphing calculator, r is the rate, and t is time.
A = Pe^rt
3,000 = 500e^r4
now we can solve for r
divide both sides by 500
6 = e^r4
now because the variable is in the exponent, we have to use a log
ln(6) = 4r
we can plug the log into a calculator to get
1.79 = 4r
divide both sides by 4
r = .448
now lets plug it back in
A = 500e^(.448)(6 hrs)
A = 7351.12
This is closest to answer A. 7,348
