Alex received two job offers. He is not sure whether he should take a job at the movie theater that's close to his house and pays $8.50 per hour, or if he should take the job at a grocery store that pays $9.00 per hour, but is a thirty-minute drive away. Use the PACED decision process to decide what Alex should do. Show each step.
Answers
P - identify the problem
A - identify the alternatives
C - determine criteria
E - evaluate alternatives
D - make a decision
Problem: What job to take?
Alternatives:
1st job: movie theater ; 8.50/hr ; near his house or walking distance
2nd job: grocery store ; 9.00/hr ; 30 minutes travel
Criteria:
travel time and travel cost
Evaluate:
1st job: walking distance, no traffic worries nor fuel expenses
2nd job: 30 minutes travel time, consider traffic, fuel expenses
Decision:
It is more practical to accept the job in the movie house. Even though it is only 8.50 per hour, travel expenses is 0 and there is no difficulty in going to work.
Answer:
Movie Theater
Step-by-step explanation:
P - identify the problem
A - identify the alternatives
C - determine criteria
E - evaluate alternatives
D - make a decision
1st job; $8.50 an hour
2nd job; $9 an hour
1st job; walking distance, no fuel or car expenses
2nd job; 30 minutes away, need to pay for a bus or gas for a car
I say he should get the job at the movie theater, its closer so he doesnt need to spend money on gas or for a way to get to the other job. It's only $.50 more for the other job but he would cost more for a way to get there.
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The steps below show the incomplete solution to find the value of y for the equation 4y − 2y − 4 = −1 + 13:Step 1: 4y − 2y − 4 = −1 + 13 Step 2: 4y − 2y − 4 = 12 Step 3: 2y − 4 = 12 Which of these is most likely the next step? 2y = 3 2y = 8 2y = 16 2y = 18
Answers
dP/dt = kA
where k = proportionality constant, A = amount of subtance.
Integrating that equation yields,
A = ce^(kt)
where c = constant of integration.
The constant of integration is represented mostly as an initial amount of substance.
We have given two initial condition:
(1) t = 0, A = 35 milligrams (present)
(2) t = 850 years, A = 35/2 milligrams (half-life)
We are going to solve for c:
35 = ce^0
c = 35
Next, solving for k:
35/2 = 35e^(k*850)
1/2 = e^(k*850)
Multiplying natural logarithm on both sides to bring down k:
ln (1/2) = k*850
k = ln (1/2) / 850
k = -0.00081547
Finally, the time when the amount of substance has 10 milligrams remaining is:
10 = 35e^(-0.00081547*t)
10/35 = e^(-0.00081547*t)
Multiplying natural logarithm on both sides to bring down t:
ln (2/7) = -0.00081547*t
t = ln (2/7) / -0.00081547
t = 1536.25 years (ANSWER)
Can someone please help me in detail if two spherical
pieces of cookie dough have radii of 3cm and 5cm. The pieces are
combined to form one large spherical piece of dough. What is the approx
radius of the new sphere of dough?
Answers
Sphere Vol = 4/3Pi radius^3
Give the 4/3Pi bit a constant - 'C'
Vol = C x radius^3
V1 = C 3^3 = 27C
V2 = C 5^3 = 125C
New Volume = 27C + 125C = 152C
Aproximate radius = cube Root 152 = Approx 5.3
(5 cubed = 125, 6 cubed = 216)
Answers
Answer: The answer is 4.
Step-by-step explanation: You'll need to simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers: .
Answers
Final answer:
The answer to the mathematical problem 6 times 2/3 is 4. This is solved by turning the whole number 6 into a fraction (6/1), multiplying the numerators together (6 times 2 equals 12), multiplying the denominators together (1 times 3 equals 3), and putting the new numerator over the new denominator (12/3), which simplifies to 4.
Explanation:
The question is asking you to multiply 6 by 2/3. Let's follow the steps to solve this multiplication problem.
- Turn the whole number, in this case 6, into a fraction by putting it over 1. This gives you 6/1.
- Multiply the top numbers (the numerators) together to get the new numerator. 6 * 2 = 12.
- Multiply the bottom numbers (the denominators) together to get the new denominator. 1 * 3 = 3.
- Put the new numerator over the new denominator to get your answer. 12/3 = 4.
So, 6 times 2/3 equals 4.
Learn more about Multiplication here:
#SPJ2
Answers
Answer:
3,604,389
Step-by-step explanation:
Monthly payment P =
where a = total loan amount, r = periodic rate, n = number of payment periods
a = 500,000 ; r = 0.12 ; n = (5 x 12) = 60 months
P =
P =
p = 60,073.151
Total amount paid = 60073.151 x 60 = 3,604,389
Answers
Multiply numerator and denominator by 5;
(9) / (25 / 2)
Multiply numerator and denominator by 2;
(18) / (25)
It cannot be reduced, so final answer is 18/25.