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frez [133]
3 years ago
5

What is an equation of the line that passes through the point (−6,−1) and is perpendicular to the line 6x−y=7?

Mathematics
1 answer:
user100 [1]3 years ago
6 0

Answer:

y=-1/6x-2

Step-by-step explanation:

Lets find the slope of the given line

6x-7=y,m=6

The slope of the perpendicular line would be=-1/6

Using the point-slope form y-y1=m(x-x1)

y--1=-1/6(x--6)

y+1=-1/6(x+6)

6y+6=-x-6

6y=-x-6-6

6y=-x-12

y=-1/6x-2

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Carmen received a gift of $5,000 from her grandmother and decided to invest it. the expression 5000(1.0005)^12t represents the a
Natalija [7]

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

7 0
2 years ago
What type of conic section is the following equation? x2 + (y - 5)2 = 12 parabola circle hyperbola ellipse
chubhunter [2.5K]

Answer: Circle

Step-by-step explanation:

It is a circle.

Center: (0,5)

r= √12 =2√3

7 0
3 years ago
4A.
antoniya [11.8K]

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:

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4 0
1 year ago
I really need help can someone help me with this
TiliK225 [7]

The break-even point is given when:

C(x)=R(x)

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

8 0
1 year ago
I tried many times to solve this question: Joy makes 6,5 litres soup correct to the nearest 0.5 litres. She serves the soup in 2
Paraphin [41]

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

4 0
3 years ago
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