United Steel provides pensions to its employees. An individual pension is 2.3% of the

employee's average salary for the last five years of employment times the number of

years the employee worked for the company. Juan DeMarco worked for 30 years for

United Steel.

The annual salaries he received for his last five years were: $ 93,000, $ 94,000, $ 98,000,

$ 94,000, and $102,000.

What will his annual pension be?

Answer:

Step-by-step explanation:

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2x + 5y = 19

x - 2y = -4

Multiply the second equation by 2

2x - 4y = -8

Now we have:

2x + 5y = 19

2x - 4y = -8

Subtract the second eq from the first to get:

9y = 27

/ 9

y = 3

Now substitute this value into one of the first equations

x - 2(3) = -4

x - 6 = -4

x = 2

Thus, your answer would be option B

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Answer:

C

Step-by-step explanation:

10*(1/7)=10/7.   A and B are false.

A product comes from multiplying.   D is false.

Please mark as Brainiest! :)

Have a nice day.

Answer:

29 inches

Step-by-step explanation:

4 + 7 + 4 + 11 = 29 inches

Answer:

The answer is none of the above. x= -2.08

Step-by-step explanation:

Answer: you cant have a answer because it needs to be (-) or (/) not (+)

Step-by-step explanation:

Answer:

Scatterplots

Step-by-step explanation:

If there is no apparent relationship between the two variables, then there is no correlation. Scatterplots can be interpreted by looking at the direction of the line of best fit and how far the data points lie away from the line of best fit

Answer:

لافصرقغه3ق3

Step-by-step explanation:

4ل5خ2ىاق

Answer:

x=30

Step-by-step explanation:

you distribute the negative to 2x and 19

3x+4-2x-19=15

then you combine like terms

x-15=15

you add 15 to both sides

x=30

Answer:

x = 20

Step-by-step explanation:

We are given the equation ( 3x + 4 ) – ( 2x + 9 ) = 15;

( 3x + 4 ) - ( 2x + 9 ) = 15 ⇒ Take ( ) out, through distribution of - 1,

3x + 4 - 2x - 9 = 15 ⇒ Subtract 4 from either side,

3x - 2x - 9 = 11 ⇒ Combine like terms,

x - 9 = 11 ⇒ Add 9 on either side,

Solution; x = 20

Answer:

95cm

Step-by-step explanation:

3.5 x 4 = 14

14/2 = 7

5 x 4= 20

5 x 4= 20

Add up all the answers to find the surface area

you get 95cm

Answer:

The distances between the three pairs of corresponding vertices for each movement must be equal. That is, if you translate points A to A', B to B', et cetera, the distance between A and A', and B and B' are the same.

A translation is a rigid transformation that moves vertices of a figure a fixed distance.

In a general way, a translation moves all points on a shape a fixed distance.

Answer:

Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.

Sample answer for Edmentum and Plato Users

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Answer:

12

Step-by-step explanation:

We know that a^b / a^c = a^ (b-c)

12 ^ -8  / 12 ^ -9

12 ^ (-8 - -9)

12 ^ (-8+9)

12 ^ 1

12

Answer:

The Answer is 12. (Someone deleted my answer because I didn't show any work.)

Step-by-step explanation:

1. 12^-8/12^-9 -->  12^-8-(-9)

2. 12^-8+9

3. 12^1= 12

4. Therefore the answer is 12.

Answer:

Step-by-step explanation:

TQ = QR

Ray t bisects TR. TR is divided into  two equal parts

Answer:

2.54648ft.

Step-by-step explanation:

r=8/[tex]\pi[/tex](ft.) therefore, the radius of the circle when its circumference is 16 feet is r≈2.54648ft.

Answer:

r =8

Step-by-step explanation:

Therefore,  C = π d .

We know that the circumference,  C , is  16 π , so we can say that:  

16 π = π d

We can divide both sides by  π  to see that  16 = d .

We now know that the diameter of the circle is  16 .

We also know that the diameter has twice the length of the radius.

In equation form:  2 r = d

 2 r = 16

r = 8

To find probability, you must divide the number of events by the number of possible outcomes.

An event (or favorable outcome) is an outcome that is desired.

An outcome is one of many things that could happen.

Since the events occur two times, they must be doubled.

In this case, there are 400 possible outcomes and 20 number of events.

The probability of you playing one of your top 10 favorite songs for 2 days is 0.05.

Answer:

Kaitlin paid $17.55

Step-by-step explanation:

1.00 - 0.35 = 0.65

$27 (0.65) = $17.55

Answer:

x=0   x=7

Step-by-step explanation:

A(x) = x(x-7)

Set equal to zero

x(x-7) =0

Using the zero product property

x=0     x-7 =0

x=0   x=7

Answer:

c = 0

Step-by-step explanation:

A 3-variable linear system of equations is constructed after replacing known values for x and y:

[tex]16\cdot a - 4 \cdot b + c = 7[/tex]

[tex]9\cdot a + 3\cdot b + c = 0[/tex]

[tex]64\cdot a + 8\cdot b + c = 10[/tex]

After making algebraic manipulation, the following solution is found:

[tex]a = \frac{1}{4}[/tex] and [tex]b = -\frac{3}{4}[/tex] and [tex]c = 0[/tex]

The value of c is 0.

Answer: 3^2

Step-by-step explanation:

remember logb a=n <---> a=b^n

so therefor the answer is log3 9=2 ---> 9 = 3^2

Answer:

y= -3x + 7

That is the answer.

Answer:

x= −2/3y+2

Step-by-step explanation:

Answer:

116.62 yards

Step-by-step explanation:

information that we have about the soccer field:

length: [tex]l=100yards[/tex]

width: [tex]w=60yards[/tex]

the line that crosses from one corner to another is the hypotenuse of a right triangle that is formed with the sides [tex]l[/tex] and [tex]w[/tex].

So if we call this distance [tex]h[/tex], by the Pythagorean theorem we will obtain that:

[tex]h^2=l^2+w^2[/tex]

solving for  [tex]h[/tex]:

[tex]h=\sqrt{l^2+w^2}[/tex]

substituting the known values:

[tex]h=\sqrt{100^2+60^2} \\h=\sqrt{10,000+3,600}\\ h=\sqrt{13,600}\\ h=116.62yards[/tex]

the approximate distance from one corner to the opposite corner found by the Pythagorean theorem is: 116.62 yards

Answer:

117

Step-by-step explanation:

Answer: an expression equivalent would be 4(3-4x)

Answer:

4(3-4x)

I hope I helped you! Please mark me brainiest if I am correct. Thanks!

Answer: 1+log3(10)

Step-by-step explanation:

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]\log _3\left(27\right)+\log _2\left(8\right)\\\log _3\left(27\right)=3\\\log _3\left(27\right)\\\mathrm{Rewrite\:}27\mathrm{\:in\:power-base\:form:}\quad 27=3^3\\=\log _3\left(3^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _3\left(3^3\right)=3\log _3\left(3\right)\\=3\log _3\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _3\left(3\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3\\=3[/tex]

[tex]\log _2\left(8\right)=3\\\log _2\left(8\right)\\\mathrm{Rewrite\:}8\mathrm{\:in\:power-base\:form:}\quad 8=2^3\\=\log _2\left(2^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _2\left(2^3\right)=3\log _2\left(2\right)\\=3\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _2\left(2\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=\\=3\\=3+3\\Simplify\\=6[/tex]

Answer:(5,2)

Step-by-step explanation:

Answer:

x = 3/2

Step-by-step explanation:

Answer:

96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Step-by-step explanation:

We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the  average desired retirement age, with a standard deviation of 3.4 years.

Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;

                         P.Q. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample average desired retirement age = 55 years

            [tex]\sigma[/tex] = sample standard deviation = 3.4 years

            n = sample of seniors = 101

            [tex]\mu[/tex] = true mean retirement age of all college students

Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 96% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-2.114 < [tex]t_1_0_0[/tex] < 2.114) = 0.96  {As the critical value of t at 100 degree

                                               of freedom are -2.114 & 2.114 with P = 2%}  

P(-2.114 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.114) = 0.96

P( [tex]-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.96

P( [tex]\bar X-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.96

96% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ]

                                           = [ [tex]55-2.114 \times {\frac{3.4}{\sqrt{101} } }[/tex] , [tex]55+2.114 \times {\frac{3.4}{\sqrt{101} } }[/tex] ]

                                           = [54.30 , 55.70]

Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I took the assignment

Answer:

12%

Step-by-step explanation:

1,020/8,500= ?/100

correct me if i am wrong

Answer:

Hello There the Correct answer is D. 12%

All you really need to do is Divide 1,020 8,500 and you will get 12. So the answer is D.