The equivalent expression for the expression that represents the amount Carmen would earn is 5000(1.0005^12)^t.
<h3>What is the equivalent expression?</h3>
Based on the expression given, Carmen's investment is compounded monthly.
The formula for calculating future value:
FV = P (1 + r)^nm
- FV = Future value
- P = Present value
- R = interest rate
- m = number of compounding
- N = number of years
5000(1.0005)^12t
= 5000(1.0005^12)^t
50002.5^12t
Please find attached the complete question.To learn more about future value, please check: brainly.com/question/18760477
Answer: Circle
Step-by-step explanation:
It is a circle.
Center: (0,5)
r= √12 =2√3
The number of paychecks Jalen will have to save until he can purchase the laptop is 6
<h3>How many paychecks will Jalen have to save until he can purchase the laptop? </h3>
<u>Define your variable</u>
To do this, we use the following variables
- x represents the number of paychecks
- y represents the cost of the laptop
<u>Set up an equation, and solve it.</u>
In (a), we have:
- x represents the number of paychecks
- y represents the cost of the laptop
Using the above variables, the equation is:
y = 200 + 50x
The cost of the laptop is $500.
So, we have:
200 + 50x = 500
Evaluate the like terms
50x = 300
Divide by 50
x = 6
Hence, the number of paychecks Jalen will have to save until he can purchase the laptop is 6
Read more about linear equations at:
brainly.com/question/14323743
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The break-even point is given when:

In another words, when the costs are equal to the revenue. If this happens, the profit will be equal to 0. From the graph, the profit is equal to 0 for 60,000 units.
Answer:
B
Joy makes 6.5 litres soup correct to the nearest 0.5 litres. She serves the soup in 280ml portions correct to the nearest 10ml. 22 people order this soup. Does joy definitely has enough soup to serve the 22 people.
Answer:
Yes, Joy definitely does has enough soup
Step-by-step explanation:
From the question, we know,
Joy make 6.5 litres of soup
Serves it in 280ml portions
Step 1
We convert the portions to liters
1 ml = 0.001 litre
280 ml
= 280ml × 0.001 litre/1 ml
= 0.28litre
Step 2
We divide 6.5 liters by 0.28 to find out how many people can be served
= 6.5 ÷ 0.28
= 23.2142857143 people
We can see that 6.5 liters soup can serve 23 people approximately.
Therefore, Yes, Joy definitely does has enough soup to serve 22 people