Your new job guarantees you an eight percent raise for each year with the company. If your initial salary is $42,200, write an equation to model your salary after t years

Answers

Answer 1

Answer: initial salary is $42,200

eight percent raise for each year = 1.08

salary after t years

equation :

Y(t) = $42,200 x (1.08)^t

Answer 2

Answer: $42,000
× 0.08
$3,360
+42,000
= $45,360

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Answers

-1, 0, 1, 2... i believe those are the only integers

The sum of 6 consecutive even numbers is 126.what is the fourth number in this sequence

Answers

This can be put into a formula like so:

Since they are 6 consecutive even numbers, they will alternate odd/even/odd/even.

x, x+2, x+4, x+6, x+8, x+10 = 126

Simplify

6x + 30 = 126

6x = 96

x = 16

And you want the fourth number, so plug the x value back into the equation of 'x+6' and you will get 16+6 which = 22.

Answer:

Step-by-step explanation:

x+x+2+x+4+x+6+x+10

126

x=16

16+6=22

PLEASE HELP ASAP!!!!Hugo is writing a coordinate proof to show that the midpoints of a quadrilateral are the vertices of a parallelogram. He starts by assigning coordinates to the vertices of quadrilateral RSTV and labeling the midpoints of the sides of the quadrilateral as A, B, C, and D. Quadrilateral R S T V in a coordinate plane with vertex R at 0 comma 0, vertex S in the first quadrant at 2 a comma 2b, vertex T also in the first quadrant at 2 c comma 2 d, and vertex V on the positive side of the x-axis at 2 c comma 0. Point A is between points R and S, point B is between points S and T, point C is between points T and V, and point D is between points R and V. Enter the answers, in simplified form, in the boxes to complete the proof. The coordinates of point A are ( , ). The coordinates of point B are ( , ). The coordinates of point C are (2c, d) . The coordinates of point D are (c, 0) . The slope of both AB¯¯¯¯¯ and DC¯¯¯¯¯ is . The slope of both AD¯¯¯¯¯ and BC¯¯¯¯¯ is −bc−a . Because both pairs of opposite sides are parallel, quadrilateral ABCD is a parallelogram.

Answers

Answer:

Step-by-step explanation:

R(0,0)

A=((0+2a)/2,(0+2b)/2)=(a,b)

S(2a,2b)

B=((2a+2c)/2,(2b+2d)/2)=(a+c,b+d)

T(2c,2d)

C=((2c+2c)/2,(2d+0)/2)=(2c,d)

V(2c,0)

D=((2c+0)/2,(0+0)/2)=(c,0)

R(0,0)

slope of AB=(b+d-b)/(a+c-a)=d/c

slope of DC=(d-0)/(2c-c)=d/c

slope of AD=(0-b)/(c-a)=-b/(c-a)

slope of BC=(d-b-d)/(2c-a-c)=-b/(c-a)

The registrar keeps an alphabetical list of all undergraduates, with their current addresses. Suppose there are 10,000 undergraduates in the current term. Someone proposes to choose a number at random from 1 to 100, count that far down the list, taking that name and every 100th name after it for the sample. a) Is this a probability method?
b) Is it the same as simple random sampling?
c) Is there selection bias in this method of drawing a sample?

Answers

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Following are the description of the given points:

(a) This is a system of probability, which possibility occurs inside an intended manner whenever they choose this specific point of origin from 1 to 100 with no one reserve the possibility about who gets throughout the survey.

(b) Its method is different from the random sampling technique with the base available. For example, two individuals whose names identical to both the list have no chance to join within the survey.

A skydiver is falling 176 feet per second. How many feet per minute is he falling

Answers

The correct answer here is that if the skydiver is falling 176 feet persecond, he is falling 10560 feet per minute. This can be worked outquite easily, by considering that if there are 60 seconds in a minute,we then need to work out the proportion of 176 feet/1 sec = x/60 sec.You then need to multiply 60 by 176 to get 10560, which is your answer.

'2aa4b' is a 5 digit number and when its divided by '36' it gives '11' as remainder. What is the sum of the values 'a' can have.

Answers

The only 5-digit numbers that do the job are 21,143 and 28,847 .

So, either
a = 1 and
b = 3

or
a = 8 and
b = 7 .

The sum of the values that 'a' can have is (1 + 7) = 8 .

I shall cherish every one of your generous 5 points.

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