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Eddi Din [679]
3 years ago
5

Anya and Jake started new jobs at the same time. Anya’s starting salary was $42,000, and she gets a $1,500 raise each year. Jake

’s starting salary was $35,000, and he gets a 3% raise each year. What function gives Jake’s salary after x years?
Mathematics
1 answer:
Nitella [24]3 years ago
5 0

Answer:

Function (Assuming Jake gets raise every year on his new salary )

Step-by-step explanation:

Given:

Anya’s starting salary = $42,000

Anya’s raise = $1,500 each year

Jake’s starting salary = $35,000

Jake’s raise = 3% each year

Find:

Function (Jake’s salary after x years) = ?

Number of years = x

Computation:

Jake\’s\ salary\ after\ x \ years = Jake\’s\ starting\ salary(1+Jakes\ raise)^{Number\ of\ year}\\\\Jake\’s\ salary\ after\ x \ years =35,000(1+0.3)^x

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SOLVE THE SYSTEM USING SUBSTITUTION <br><br> HURRY ILL GIVE BRAINLIEST!!!!
viktelen [127]
5)Substituting any of the following equations; i chose bottom into top:
-2x+5=x+2
=>-3x=-3
=>x=1
Sub the x in any of the eqs to find y so
Y=1+2
=>Y=3
ANS: (1,3)

6) substituting the top equation into the bottom one:
3x+2x+4=9
=>5x=13
=>x=13/5 or 2.6
Sub the x in any of the eqs to find the y so
Y=5.2+4
=>y=9.2
ANS: (2.6, 9.2)

5 0
2 years ago
A regular octagon is inscribed in a circle with a radius of 10 cm. What is the length of one side of the octagon?
Semenov [28]

Answer:

The length of one side of the octagon is 7.65 cm

Step-by-step explanation:

The parameters given are;

A regular octagon inscribed in a circle of radius, r, of 10 cm.

The length of each side is found from the isosceles triangle formed by the radius and one side of the octagon

The sum of interior angles in a polygon, ∑θ_i = 180 × (n - 2)

Where;

n = The number of sides of the polygon

θ_i = The interior angle of the polygon

For the octagon, we have;

n = 8, therefore;

∑θ_i = 180 × (8 - 2) = 1080

Given that there are eight equal angles in a regular octagon, we have;

∑θ_i = 8 × θ_i = 1080

θ_i = 1080/8 = 135°

The sum of angles at the center of the circle = 360

Therefore, the angle at the center (tip angle) of the isosceles triangle formed by the radius and one side of the octagon = 360/8 = 45°

The base angles of the isosceles triangle is therefore, (180 - 45)/2 = 67.5° = θ_i/2

The length of the base of the isosceles triangle formed by the radius and one side of the octagon = The length of one side of the octagon

From trigonometric ratios, the length of the base of the isosceles triangle is therefore;

2 × r × cos(θ_i/2) = 2×10 × cos(67.5°) = 7.65 cm

The length of the base of the isosceles triangle = 7.65 cm = The length of one side of the octagon.

7 0
3 years ago
Read 2 more answers
I don't know what I'm doing wrong here, can anyone help?
Novosadov [1.4K]

if you look at the part where the first part connects with the second part:

y = 5 if x < - 2

y = -2x + 1 if  -2 ≤ x < 1

we don't have a discontinuity there, so there shouldn't be a dot.

<h3></h3><h3>What is wrong with the graph?</h3>

When we graph over intervals like (a, b) or [a, b] or something like that, we use dots to define the end of the intervals, and to denote that the function ends abruptly or we have a jump.

In this case, you can see that between the end and the second part and the beginning of the third part there is a jump, so the use of dots is correct there, but if you look at the part where the first part connects with the second part:

y = 5 if x < - 2

y = -2x + 1 if  -2 ≤ x < 1

we don't have a discontinuity there, so there shouldn't be a dot.

That is the only error with the graph.

If you want to learn more about piecewise functions:

brainly.com/question/3628123

#SPJ1

8 0
1 year ago
A bank quotes an interest rate as 0.06341 annual effective yield. What interest rate, compounded monthly, will provide that
Leviafan [203]

9514 1404 393

Answer:

  0.06164

Step-by-step explanation:

The effective annual rate obtained by compounding nominal annual rate r monthly is ...

  eff rate = (1 +r/12)^12 -1

Then the value of r is ...

  r = 12×((eff rate) +1)^(1/12) -1)

For the given effective rate, that is ...

  r = 12×(1.06341^(1/12) -1) ≈ 0.06164 . . . . nominal annual interest rate

4 0
3 years ago
Madeleine owes $36,000 to a private lender. The debt grows with 12% annual interest that compounds every week. How much will Mad
viva [34]

Answer:

A= $40584.28      

Step-by-step explanation:

P = 36000

r = 12% = 0.12

n = 52 weeks

t = 1

A = P(1 + \frac{r}{n})^{nt}\\

   =36000(1 + \frac{0.12}{52})^{52 \times 1}\\\\=36000 (1.002307)^{52}\\\\=36000 \times 1.12734\\\\=40584.28

7 0
3 years ago
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