A company is offering a job with a salary of $30,000 for the first year and a 2.3% raise year year after that. I know the sequence is geometric, I know the recursion equation, and I know the formula function. What I need help with is if that 2.3% raise continues every year, how much money would you earn in a 40 year career

Answers

Answer 1
Answer: 30,000×(1+0.023)^(40)
=74,498.34

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-9x+4=-8-5x helppppp plsssss

Answers

Answer:3

Step-by-step explanation:

-9x+4=-8-5x

-4x+4=-8

-4x=-12

x=3

Answer:

Step-by-step explanation:

Add 5x so -9x+5x becomes -4x+4=-8 then subtract -4 and then -4+-8 becomes -12 and then solve for x which is -12/-4 which is 3.

Find the equation of the line through (2, 3, 0) perpendicular to the vectors a = (1, 2, 3) and b = (3, 4, 5).

Answers

The cross product a×b is a vector perpendicular to both. That cross product is
  (1, 2, 3)×(3, 4, 5) = (-2, 4, -2)

This can have common factors removed and be sign-adjusted to (1, -2, 1), so the equation of the line can be written in parametric form as ...
  (x, y, z) = (2, 3, 0) + t·(1, -2, 1)

_____
When working with vectors and matrices, a suitable calculator can be very helpful. There are several phone and tablet apps and web sites that can do these calculations for you.

What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?

Answers

Answer:

Step-by-step explanation:

-3

2 (3x-1)>/=4-6 6x-2>/=4-6 +2 +2 6x>/=4x-4 -4x -4x 2x>/=-4 ÷2 ÷2 x >/=-2 >/= means less than or equal to since I don't have the proper symbol

During a sale, a shop allows 20% discount off the marked price of clothing. What will a customer pay for a dress with a marked price of $30? * 1 point

Answers

Answer:

$24

Step-by-step explanation:

Let the full price of $30 be 100%.

If the discount allowed is 20%, then the percentage of the original price that a customer will pay is:

P=100\%-20\%\nP=80\%

80% of a marked price of $30 is:

80\%*\$30\n\$24

A customer will pay $24.

They will pay 24 dollars

he vertex of a parabola is in the first quadrant of a coordinate grid. A line with a negative slope passes through the origin. If the parabola and line intersect at the origin, which statement must be true?

Answers

.if a is positive, the parabola opens up or to the right.
    if a is negative, the parabola opens down or to the left

A parabola is a curved-forming shape in a graph that describes many important figures like the relationship, the focus and the magnitude of the variables involved. 


Answer:

it moves down

Step-by-step explanation:

...

Which values of PPP and QQQ result in an equation with exactly one solution?-5x+12=Px+Q−5x+12=Px+Q
Choose all answers that apply:

(Choice A)
A
P=5P=5P, equals, 5 and Q=12Q=12Q, equals, 12

(Choice B)
B
P=-5P=−5P, equals, minus, 5 and Q=-12Q=−12Q, equals, minus, 12

(Choice C)
C
P=5P=5P, equals, 5 and Q=-5Q=−5Q, equals, minus, 5

(Choice D)
D
P=-12P=−12P, equals, minus, 12 and Q=-12Q=−12

Answers

Answer:

Option A, C and D are correction Option.

Step-by-step explanation:

Given Equation, -5x + 12 = Px + Q

We have to value of P and Q from given options such that equation has exactly one solution.

First simplify the equation,

-5x + 12 = Px + Q

-5x - Px = Q - 12

(-5 - P)x = Q - 12

from above P can not have value equal to -5 as if P = -5

we have (-5 - (-5))x = Q - 12

               (-5 + 5)x = Q - 12

this equation has infinitely many solution as it removes x from the equation.

So, Option B is not our solution other than that All Options are our solution.

A).

P = 5 & Q = 12

⇒ (-5 - 5)x = 12 - 12

   x = 0

C).

P = 5 & Q = -5

⇒ (-5 - 5)x = -5 - 12

   -10x = -17

x=(17)/(10)

D).

P = -12 & Q = -12

⇒ (-5 - (-12))x = -12 - 12

   7x = -24

x=(-24)/(7)

Therefore, Option A, C and D are correction Option.

We are given equation : -5x+12=Px+Q.

Let us compare left and right sides of the equation.

On comparing Px = -5x.

Dividing both sides by x, we get

Px/x = -5x/x.

P = -5.

Let us compare other part of the given equation.

Q =12.

Therefore, we got P=-5 and Q =12.

Non of the given options seems correct.

Please check the option have  P=-5 and Q =12.