1. Amelia's annual salary increases by the same quantity every year. In her 1st
year at her job, she earned $24,000.In her 2nd year, she earned $36,000. In
her 3rd year, she earned $48,000. How much will she earn in her 20th year?
Then sketch a graph that represents the above information.
SALARY
Solution:

Answer: x = -6 and x = -5/2

Step-by-step explanation:

[tex]$$Solve for $x$ over the real numbers: \\ $2 x^{2}+17 x+30=0$\\\\The left hand side factors into a product with two terms:$$(x+6)(2 x+5)=0$$Split into two equations:$$x+6=0 \text { and } 2 x+5=0$$Subtract 6 from both sides:$$x=-6 \text { and } 2 x+5=0$$Subtract 5 from both sides:$$x=-6 \text { and } 2 x=-5$$Divide both sides by 2 :Answer:$$x=-6 \text { and } x=-\frac{5}{2}$$[/tex]

Answer:

132

Step-by-step explanation:

surface area of a triangular prism

132 ft is needed for the entire outside

its a 3 4 5 right triangle

10 is the height

Using the Empirical Rule, it is found that she scores between 119 and 141 on 68% of the games that she bowls.

It states that, for a normally distributed random variable:

In this problem, considering that the mean is of 130 and the standard deviation is of 11, the interval between 119 and 141 is within one standard deviation of the mean, hence she scores between 119 and 141 on 68% of the games that she bowls.

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Two triangles are said to be similar when; two of their corresponding angles are the same angle measure.

A triangle is a polygon with three sides and three angles.

Types of triangles

Two triangles are said to be similar if two pairs of their corresponding angles are congruent. This is because if two pairs of angle are the equal, then the third pair must also be equal.

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Answer:

Its d

Step-by-step explanation:

The other person is wrong because they only solved for one water dispenser you are supposed to solve for all three :)

Using the volume of the rectangular prism, it is found that the three dispensers will take 1,344 in³ in Sid's refrigerator.

The volume of a rectangular prism of length l, width w and height h is given by the multiplication of these three dimensions, that is:

V = lwh.

In this problem, there are three dispensers, each with l = 4 in, h = 14 in, w = 8 in, hence the volume is given by:

V = 3 x 4 x 14 x 8 = 1,344 in³.

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Answer:

19

Step-by-step explanation:

3(4)(2) - 5

3 * 4 = 12 * 2 = 24

24 - 5 = 19

Answer:

A

Step-by-step explanation:

The formula for a rectangular prism is length*width*height. Thus, the equation would be 6*4*16, which equals 384 cm^3.

Answer:

x³ - 12x + 16

Step-by-step explanation:

(x² -4x + 4) × (x+4) =

= x³ + 4x² - 4x² - 16x + 4x + 16

= x³ - 12x + 16

761680

[tex]\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}[/tex]

Identify the following's:

First Term [a]  =  60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r]  =  1.2

Total Terms [n] =  44

===========================

[tex]\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}[/tex]

===========================

Solving Steps:

[tex]\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}[/tex]

[tex]\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}[/tex]

[tex]\rightarrow \sf 761679.5808[/tex]

[tex]\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)[/tex]

Answer:

cylinder

Step-by-step explanation:

A mascara tube is a cylinder

Step-by-step explanation:

i just answered this.

the average change rate is the change of the functional result in a given interval relative (= divided by) to the length of the interval of the input variable.

in short

( f (interval upper limit) - f (interval lower limit) ) /

(interval upper limit) - (interval lower limit)

upper limit = 0

lower limit = -2

the functional values (y) are 6 and 10 at these points.

so, we get

(6 - 10) / (0 - -2) = -4 / 2 = -2

Answer:

60 ft

Step-by-step explanation:

3 times 20 is 60 ft so there is your answer

Answer:

C

Step-by-step explanation:

Diameter is 3 feet, and the radius is half the diameter.

Circumference

Distance travelled in 20 rotations

Answer:

2 to the power of three × 3 × 5

Step-by-step explanation:

Answer:

see the attachment!

i hope this can help you!

The lateral surface area is about 105,600 meters.

The area of ​​the pyramid is the measure relative to its surface and is obtained by the sum of the areas of the bases (polygonals) and of all the lateral faces (triangles). For the calculation of the lateral area of ​​a pyramid, we will have the perimeter of the base by the inclined height of the pyramid.

In this case, the formula of the lateral surface area is:

[tex]SA=\frac{P*S}{2}+B[/tex]

Where:

The height informed will not be used, it will only be a parameter to perform pythagoras, that is, we will find the hypotenuse of the triangle created by the height, like this:

[tex]S=\sqrt{(B)^2/2+H^2} \\S=\sqrt{110^2+70^2}\\S=\sqrt{17,000}\\ S=130[/tex]

Returning to the formula given above, we find that:

[tex]SA= \frac{(220*4)(130)}{2}+(220*220)\\ SA= 57,200+48,400= 105,600 \ meters[/tex]

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Answer:

C. The solution set is {x|x < 6}.

Step-by-step explanation:

Given :

Subtract 4 from both sides.

Divide 7 from both sides.

C. The solution set is {x|x < 6}.

Answer:

7.85 inches

Step-by-step explanation:

It mentions distance around the edge of the clock, which is basically another term used for arc length.

Arc Length Formula :

Arc Length = 2πr × θ/360°

Values given :

Radius (r) = 5 inches

Turning angle (θ) = 3/12 × 2π = 1/4 x 2π = π/2 = 90°

Solving :

Arc Length = 2 x 3.14 x 5 x 90/360

Arc Length = 15.7 x 0.5

Arc Length = 7.85 inches

Answer:

[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]

Step-by-step explanation:

Recursive formula allows us to find the value of a specific term based on the previous term.

Explicit formula allows us to find the value of a specific term based on its position.

Given explicit formula:  [tex]a(n)=5+(n-1)(-4)[/tex]

[tex]\implies a(1)=5+(1-1)(-4)=5[/tex]

[tex]\implies a(2)=5+(2-1)(-4)=1[/tex]

[tex]\implies a(3)=5+(3-1)(-4)=-3[/tex]

[tex]\implies a(4)=5+(4-1)(-4)=-7[/tex]

From inspection of the sequence, we can see that to get the next term, we need to subtract 4 from the previous term.

[tex]5 \underset{-4}{\longrightarrow} 1 \underset{-4}{\longrightarrow} -3 \underset{-4}{\longrightarrow} -7[/tex]

Therefore, the recursive formula is:

[tex]a_n=a_{(n-1)}-4[/tex]

For a recursive formula, we also need to give the value for [tex]a_1[/tex] .

Therefore, the final recursive formula for the explicit formula is:

[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]

[tex]\displaystyle\int \left( u^6 - 2u^5 - u^3 + \cfrac{2}{7} \right)du\implies \cfrac{u^7}{7}-2\cdot \cfrac{u^6}{6}-\cfrac{u^4}{4}+\cfrac{2}{7}u \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{u^7}{7}- \cfrac{u^6}{3}-\cfrac{u^4}{4}+\cfrac{2u}{7}+C~\hfill[/tex]

Answer:

501

Step-by-step explanation:

Odd numbers between 500 and 510 are 501,503,505,507,509. Out of them the number has its one place the smallest 1 digit number is 501

Answer: False

Step-by-step explanation:

I checked with a graphing app huhu... sorry TT

The vertices are (8, -1) , (-4, -1).

The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.

A standard form of a number is known to be the used in writing the number in a way that follows a specific rules.

Therefore, The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.

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Answer:

[tex]22[/tex]

Step-by-step explanation:

Because:

[tex]a \times b = 2a - 3b + ab[/tex]

Then:

[tex]3 \times 5 + 5 \times 3[/tex]

[tex]6 - 15 + 15 + 10 - 9 + 15 \\ = 22[/tex]

Answer:

B. 22

Step-by-step explanation:

Given

3 x 5

5 x 3

⇒ 3 x 5 + 5 x 3

⇒ 6 + 16

⇒ 22 (Option B)

Answer:

(D. (-oo,0) U (0, oo )

[tex]( \infty 0)(0 \infty )[/tex]

(-oo,0) U (0, oo )

The unicycle would move 2.512 meters if the wheel turns once

The wheel needs to rotate completely 40 times in order for Pierre to travel 100m

An equation is an expression that shows the relationship between two or more numbers and variables.

a) The circumference of the wheel = π * diameter = 3.14 * 80 cm = 251.2 cm = 2.512 m

The unicycle would move 2.512 meters if the wheel turns once

b) For a 100m race:

Number of wheel rotation = 100 m / 2.512 m = 39.8

The wheel needs to rotate completely 40 times in order for Pierre to travel 100m

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Answer:

prism B is greater

Step-by-step explanation:

prism A

lenght: 1×4=4

width: 4×8=32

height: 8×1=8

add them all up and multiply it by 2 = 4+32+8×2=52

prism B

lenght: 10×2=20

width: 2×1.5=3

height:1.5×10=15

add them all up and multiply it by 2= 20+3+15×2=76

The probability of drawing a spade is 13/52 = 1/4

Because every hand has 13 cards and there is 52 cards in a deck

The probability of drawing a 7 is 4/52 or 1/13

Because there are seven 7 cards in a deck and 52 cards.

Answer:

v = 37 yards

Step-by-step explanation:

Volume of a rectangular prism = width × length × height

Given:

Substituting the given values into the formula and solving for v:

⇒ 51615 = v × 93 × 15

⇒ 51615 = 1395 v

⇒ v = 51615 ÷ 1395

⇒ v = 37

Answer:

v = 37 yds

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

Substitute the values above and solve for v:

51,615 = 93 × v × 15

51,615 = 1395v

51,615/1395 = 1395v/1395

37 = v

Final answer: 37 yds

Hope this helps!