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Elan Coil [88]
3 years ago
8

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

Mathematics
1 answer:
lora16 [44]3 years ago
5 0

Answer:

<h2>not exist</h2>

Step-by-step explanation:

The coordinates of the intersection of the line are the solution of the system of equations.

\underline{+\left\{\begin{array}{ccc}x-y=1\\y-x=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=2\qquad\bold{FALSE}

The system of equations has no solution. Therefore, the lines are parallel (the intersection does not exist).

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Please help!
lana [24]

Given Information:

Principle amount = P = $6,000

Interest rate = r = 4% = 0.04

Period in years = t = 5

Required Information:

How much interest will he earn in 5 years = ?

Answer:

Amount of interest = $1,299.92

Step-by-step explanation:

Using the formula given in the question,

B = P(1 + r )^{t}

Where B is the final amount, P is the initial amount, r is the interest rate and t is the number of years

B = P(1 + r )^{t}\\\\B = 6,000(1 +  0.04)^{5}\\\\B = 7,299.92

The amount of interest earned is

Amount \:of\: interest = B - P \\\\Amount \:of \:interest = 7,299.92 - 6,000\\\\Amount \:of \:interest = 1,299.92

Therefore, Quincy has earned $1,299.92 in terms of interest by investing  $6,000 in a savings account at the rate of 4% annual interest for a period of 5 years.

6 0
3 years ago
A milkshake recipe calls for 1/3 cup of milk for each milkshake. If a server has 15/8 cups of milk, what is the maximum number o
Zepler [3.9K]

Answer:

5 milk shakes

Step-by-step explanation:

From the above question, we know that for the recipe

1/3 cup of milk = 1 milk shake

15/8 cup of milk = y milk shakes

We cross Multiply

15/8 cup × 1 = 1/3cup × y

y = 15/8 cup × 1 /1/3cup

= 15/8 ÷ 1/3

= 15/8 × 3

= 45/8

= 5.625 of 5 5/8 cups of milk

Therefore, the maximum number of

milkshakes the server can make following the recipe porpotians is 5 milk shakes.

4 0
3 years ago
The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. ​(
Vinvika [58]

Answer:

a) P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)

And we can find this probability with the complement rule:

P(z>0.37)=1-P(z

b) z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}=  2.431

And if we use the z score we got:

P(z>2.431) =1-P(z

Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

X \sim N(106,0.3)  

Where \mu=106 and \sigma=0.3

Part a

We are interested on this probability

P(X>106.11)

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

And using this formula we got:

P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)

And we can find this probability with the complement rule:

P(z>0.37)=1-P(z

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score we got:

z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}=  2.431

And if we use the z score we got:

P(z>2.431) =1-P(z

6 0
2 years ago
The model shown represents which of the following?
Pepsi [2]

Answer:

the answer is option four D. -8 + 3

3 0
3 years ago
15 is 60% of what number?
Mazyrski [523]
15 is 60% of 25. 15/25 is equal to .6 or 60%
8 0
2 years ago
Read 2 more answers
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