Zachary just accepted a job at a new company where he will make an annual salary of $43000. Zachary was told that for each year he stays with the company, he will be given a salary raise of $4000. How much would Zachary make as a salary after 9 years working for the company? What would be his salary after tt years?

Answer:

y - 2 = 0

Step-by-step explanation:

find slope first:

(2-2)/(5+1) = 0/6 or 0

now use 'y=mx+b' to find the y-intercept (the 'b'):

2 = 0(5) + b

2 = b

so, in slope-intercept form, the equation is:  

y = 2

but, in standard form, the equation is:

y - 2 = 0

Answer:

31.06

Step-by-step explanation:

Ticket costs: 17.50+1.44=18.94

Change received: 50-18.94=31.06

Answer:

V=[tex]27 cm^{3} \\[/tex]

Step-by-step explanation:

[tex]Area -of-triangle=\frac{1}{2} \times base\times height=0.5\times1.5\times 3=2.25cm^{2} \\Vol=Area\times height= 2.25\times 12=27 cm^{3} \\[/tex]

Answer:

Part A: 108

Part B: 24.

Step-by-step explanation:

Explanation: The formula for volume of a prism is V=Bh. (B is base area and H is height). The information doesn't provide base area so you need to find base area. The formula for base area is 1/2 x base side x height, so 1/2 x 1.5 x 12 = 9. (This is the formula for triangular prism.)  Now do the volume formula; 9 x 12 = 108. Now for part B: Divide the volume by the base area. 108 / 4 1/2 = 24. So the answer for A is 108 and for B it's 24. Check your answer: 4 1/2 x 24 = 108.

Sorry if it's wrong. Have a good day!

Hello

Answer un excel file

[tex]\left[\begin{array}{ccc}3&2&-1\\1&-2&-4\\2&1&2\end{array}\right] *\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}17\\5\\5\\\end{array}\right][/tex]

Gaussian 's method

x=3

y=3

z=-2

Answer:

[tex]Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)[/tex]

Step-by-step explanation:

[tex]Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)[/tex]

The x-coordinate will be cosθ and the y-coordinate will be sinθ.

Polar coordinates are a two-dimensional coordinate system in which each point on a plane is determined by a distance from a fixed point called the pole and an angle from a fixed direction called the polar axis.

The distance from the pole is called the radial coordinate or radius, denoted by "r", and the angle is called the angular coordinate or polar angle, denoted by "θ".

Polar coordinates are often used in situations where the Cartesian coordinates (x, y) are not convenient, such as in polar graphs, 3D coordinate systems, and certain physics and engineering applications.

For the point P, the coordinates will be,

x-coordinate: cosθ

y-coordinate: sinθ

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Answer:

first option

imagine the line y = x as a mirror

Answer:

The answer is A. "the function h because the graphs of ƒ and h are symmetrical about the line y = x"

Answer:

16 inches

Step-by-step explanation:

32 divided by 2

Answer:

4 times

Step-by-step explanation:

First you take the number of times and divide them by the number of times he  attempted it. (2)/(8+2) or 1/5. Then you set up an inequality which would look like this. x/20=1/5 then you will cross multiply them to get this equation 5x=20. then you solve for x and you would get x=4. So you can expect him to hit four bullseyes in the next 20 attempts.

Answer:

13/3 = 4 1/3 which when rounded is 4hrs

As 4.3/4 = 1.075 = 1 unit and not 2

Step-by-step explanation:

13/3 = 4.33333333 and rounded down = 4 hrs

Answer:

The answer is 4.

Step-by-step explanation:

Multiply 250 with 1.6%. 1.6% is also written as 0.016.

So pretty much you multiply 250 with 0.016 and you get 4.

Answer:

Step-by-step explanation:

ngu dot

Answer:

Step-by-step explanation:

take 22 degree as reference angle

using cos rule

cos 22=adjacent/hypotenuse

0.92=56/x

x=56/0.92

x=60.86

x=60.9

Answer:

Step-by-step explanation:

Given,

Size of the lawn he mow's in 1/6 hour = 2/3

Therefore,

Size of the lawn which can be mowed in 1 hour

[tex] = \frac{2}{3} \times 6[/tex]

= 2 × 2

= 4 (Ans)

Answer: Project A should be chosen as it has the highest NPV.

Step-by-step explanation:

Project A

Present value of inflows:

First find the present value of inflows 3 years from today. Bear in mind that the inflow is constant so this is an annuity:

= 3 million * Present value interest factor of annuity, 8%, 5 years

= 3 million * 3.9927

= RM11,978,100

Discount this value to the present:

= 11,978,100 / (1 + 8%)³

= RM9,508,602

Net Present value = Present value of inflows - Investment

= 9,508,601 - 7,000,000

= RM2,508,601

Project B:

Find present value of costs:

= 2,500,000 +  (2 million * Present value interest factor of annuity, 3 years, 8%)

= 2,500,000 + (2,000,000 * 2.5771)

= 2,500,000 + 5,154,200

= RM7,654,200

Net present value = (16,000,000 / (1 + 8%)⁶) - 7,654,200

= RM2,428,514

Project A should be chosen as it has the highest NPV.

Answer:

x = 7 , − 14

Step-by-step explanation:

I believe this is correct.

Answer:

P[You select a green poker chip] = 1/7

P[You select a white poker chip] = 1/7

Step-by-step explanation:

Given:

Number of chips beg contain = 7 chips

Number of red chips = 4 chips

Number of blue chips = 1 chips

Number of green chips = 1 chips

Number of white chips = 1 chips

Find:

Event A: You select a green poker chip  

Event B: You select a white poker chip

Computation:

P[You select a green poker chip] = Number of green chips / Number of chips beg contain

P[You select a green poker chip] = 1/7

P[You select a white poker chip] = Number of white chips / Number of chips beg contain

P[You select a white poker chip] = 1/7

Answer:

9.744180189 cm

Step-by-step explanation:

1 liter = 1 dm³ (cube with 10cm side lengths) =

= 10×10×10 cm³ = 1000 cm³

the volume of a cylinder is

base area × height

and the base area is a circle

area = pi×r²

r (radius) is half the diameter.

so, we know

volume = 150000 cm³

r = diameter/2 = 70 cm

so, we have

150000 = pi×r² × height = pi×70² × height =

= pi×4900 × height

1500 = pi×49 × height

height = 1500 / (pi×49) = 9.744180189... cm

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The points at the ends of the interval are ...

  (3, f(3)) = (3, 8)

  (6, f(6)) = (6, -4)

The slope is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -8)/(6 -3) = -12/3 = -4

The average rate of change is -4.

Answer:

[tex]tan70 = \frac{opp}{adj} \\ \: \: = \frac{15}{x } \\ \\ x = \frac{15 }{tan70 } \\ \\ = \frac{15}{2.747} \\ \\ = 5.46[/tex]

since 5.46 is equal to 5.5...

I think the answer is the first one

Answer:

17cm ×7cm

Step-by-step explanation:

Assuming that the airplane ticket is a rectangle,

let the length and the breadth of the ticket be L cm and B cm respectively.

LB= 119 -----(1)

2(L +B)= 48

L +B= 48 ÷2

L +B= 24 -----(2)

From (2):

L= 24 -B -----(3)

Substitute (3) into (1):

B(24 -B)= 119

24B -B²= 119 (expand)

B² -24B +119= 0

(B -17)(B -7)= 0 (factorise)

B -17= 0 or B -7= 0

B= 17 or B= 7

Substitute the values of B into (3):

L= 24 -17 or L= 24 -7

L= 7 or L= 17

∴ The dimensions of the airplane ticket is 17cm ×7cm.

Step-by-step explanation:

2 to the 5th power =2⁵=2×2×2×2×2=32

The value of 2 to the 5th power (2⁵) is equal to 32.

To calculate 2 to the power of 5 (2⁵).

We have to multiply the base number (2) by itself for the number of times specified by the exponent (5).

So, 2⁵ can be calculated as:

2 × 2 × 2 × 2 × 2

= 32

Therefore, 2 to the 5th power (2⁵) is equal to 32.

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Answer:

None

Step-by-step explanation:

Given

[tex]m = (4,-2)[/tex]

Required

Point 2 units from m

There are 4 possible points 2 units from m and they are:

[tex]m' = (4+2,-2) = (6,-2)[/tex]

[tex]m" = (4,-2+2) = (4,0)[/tex]

[tex]m'''= (4-2,-2) = (2,-2)[/tex]

[tex]m'''' = (4,-2-2) = (4,-4)[/tex]

From the graph, we have:

[tex]A = (4,2)[/tex]

[tex]B = (-4,2)[/tex]

[tex]C = (2,-3)[/tex]

None of the points is 2 units from m

Point m is located at (4,-2), then point C is located approximately 2 units from point m.

A point in a graph is its location denoted using x and y axis.

Given the following information:

Coordinates of point m=(4,-2)

Coordinates of point A=(4,2)

Coordinates of point B=(-4,2)

Coordinates of point C=(2,-3)

Formula used to find distance between two points say (x1,y1) and (x2,y2) is

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

D1 distance between m and A is

[tex]D_1=\sqrt{(4-4)^2+(2+2)^2}\\D_1=4[/tex]

D2 distance between m and B is

[tex]D_2=\sqrt{(-4-4)^2+(2+2)^2}\\D_2=4\sqrt5[/tex]

D3 distance between m and C is

[tex]D_3=\sqrt{(2-4)^2+(-3+2)^2}\\D_3=\sqrt5\\D_3=2.2\\[/tex]

D3 is approximately equivalent to 2 not exactly 2.

Thus, point C is approximately at 2 units from m.

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Answer:

Tn=a(-3)^(n-1)

where a is first term and n is number of terms

Step-by-step explanation:

r=-3

Answer:

C

Step-by-step explanation:

Hi there!

We're given a rectangle with one side marked as 16 and another marked as 12

We need to find the length of the diagonal

Rectangles have a property that makes the opposite sides congruent. Therefore, the side opposite to the side marked as 16 is also 16 and the side opposite to the side marked as 12 is also 12 because of that property.

Now let's look at the shapes cut by the diagonal; they are right triangles.

We only need to look at one of the triangles for this problem

The measures of 12 and 16 in the triangle are the legs (sides that make up the right angle) and the diagonal is the hypotenuse (the side that is opposite to the right angle).

You can absolutely solve for the diagonal/hypotenuse by doing Pythagorean theorem, but there's a shortcut:

3, 4, 5 is a common Pythagorean triple

(3²+4²=5²)

(9+16=25)

(25=25)

You may notice that dividing 12 and 16 by 4 are equal to 3 and 4 respectively

that means it's a 3, 4, 5 triangle, just by multiplied 4

So that means the hypotenuse has to be 5 * 4, which is equal to 20 inches

Therefore the answer is C

Hope this helps!

[tex]\sf\purple{10}[/tex] ✅

Step-by-step explanation:

[tex]35 \times \frac{2}{7} \\ = \frac{35 \times 2}{7} \\ = \frac{70}{7} \\ = 10[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

10

Step-by-step explanation:

see the image below:)

Your answer is 9.27 x 10^5

Given:

The expression is:

[tex]p^3\cdot p^2\cdot p[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]p^3\cdot p^2\cdot p[/tex]

According to the product property of exponents,

[tex]a^m\cdot a^n=a^{m+n}[/tex]

Using the product property of exponents, we get

[tex]p^3\cdot p^2\cdot p=p^{3+2+1}[/tex]

[tex]p^3\cdot p^2\cdot p=p^{6}[/tex]

Therefore, the value of given expression is [tex]p^6[/tex].

Answer:

13

Step-by-step explanation:

200-187=13