Find the value of Z in the following equation: 8Z = 64. A. 512
B. 72
C. 56
D. 8

Answers

Answer 1
Answer: 8Z = 64

Divide both sides by 8.

8Z/8 = 64/8

Z = 64/8

Z = 8


Your final answer is D. 8.

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Assume that a student attends a four-year college with tuition costs of $20,000 per year, room and board costs of $5,000 per year, and books/entertainment costs of $1,000 per year. If the student did not go to college, she would work at a job that pays $25,000 per year but still face the same room and board and entertainment expenses. The opportunity cost of attending college for this student for four years is:

Answers

Answer:

$180,000.

Step-by-step explanation:

We have been given that a student attends a four-year college with tuition costs of $20,000 per year, room and board costs of $5,000 per year, and books/entertainment costs of $1,000 per year. If the student did not go to college, she would work at a job that pays $25,000 per year but still face the same room and board and entertainment expenses.

We know that opportunity cost is the profit lost, when one alternative is selected over another.

Opportunity cost of attending college for 4 years would be amount lost from job in 4 years plus amount spent on studies because the student lost $25,000 for four years for not doing the job and spent $20,000 for 4 years on studies.

4(\$25000+\$20,000)=4(\$45,000)=\$180,000

Therefore, the opportunity cost of attending college for this student for four years is $180,000.

Final answer:

The opportunity cost of attending college for four years is $100,000.

Explanation:

The opportunity cost of attending college for four years is the value of the best alternative that the student foregoes by choosing to attend college. In this case, the student could have worked and earned $25,000 per year instead of going to college. So, the opportunity cost for four years would be $25,000 * 4 = $100,000.

Learn more about Opportunity Cost here:

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How many degrees does the hour hand move from 3:00 to 5:30?

Answers

now, keeping in mind that a circular clock has 360° total, and there are 12 hours labeled on it evenly, so the angle between each hour label is 360 ÷ 12 = 30.

so, from 3pm to 5pm, it moved by 30° + 30° = 60°.

from 5pm to 5:30, that's only half an hour, so it moved half 30°, or 15°.

60° + 15° = 75°.

If f(x) = 2x^2 - 10, find f(5).

Answers

sub 5 for every x
f(5)=2(5)^2-10
f(5)=2(25)-10
f(5)=50-10
f(5)=40

There are 60 tables in a restaurant, with 25% of them seating 22 people. The tables remaining seat 44 people. How many seats are there in the restaurant?

Answers

find how many seat 22 people
25% of 60=1/4 times 60=15 tables

60-15=45 tables that seat 44

number of seats=22 times number of 22tables+44 times number of 44tables
number of seats=22 times 15+44 times 45
number of seats=330+1980
number of seats=2310 seats

The cost of a telephone call is 75 cents plus 25 cents per minute. Write an algebraic expression that models the cost of a telephone call that lasts t minutes.

Answers

y=.75x+.25

.75(1)+.25= $1.00
x= the number of phone calls y= the total 
75 + 25 x t = Answer 

Example: 
t= 2 minutes
75 + 25 x 2 = $2.00

Justin won 20 games, tied 8 games & lost 14. What is Justin's ratio of total games to tied games? Please show how you get the answer as well.Thanks

Answers

Total games= 20+8+14 
                    =42 games
Fraction of tied games= 8/42
reduce the fraction so that it's 4/21
The ratio would be 4:21