Skylar just got hired for a new job and will make \$61,000$61,000 in her first year. Skylar was told that she can expect to get raises of \$2,500$2,500 every year going forward. How much money in salary would Skylar make in her 6th year working at this job?

Answer:

3x + 18

Step-by-step explanation:

Given

3(x + 6) ← multiply each term in the parenthesis by 3

= 3x + 18

Answer:

Hello! Your answer would be,

Step-by-step explanation:

Write as an inequality: x is at least 30. If ... The method we will use to solve applications with linear inequalities is very ... If he charges ?60 per job, how many jobs must he do to earn a profit of at least ?4,000 a month? ... Find your last month's phone bill and the hourly salary you are paid at your job. ... 30\text{°},60\text{°},90\.

Answer:

6 crickets

Step-by-step explanation:

First day:  20% of 10 is (.20)(10) = 2, so there were 10 - 2 = 8 crickets left.

Second day: 25% of 8 is (.25)(8) = 2, so there were 8 - 2 = 6 crickets left.

Answer:

15.87%

Step-by-step explanation:

We start with getting the z score

Mathematically , we have this as;

z-score = (x-mean)/SD

where x = 114

z-score = (114-100)/14 = 14/14 = 1

So we want to calculate the probability values that are greater than 1

We can use the standard normal distribution table

so we have P(z> 1) = 0.15866

in percentage, we multiply by 100 and that gives 15.866 which is 15.87 people

Answer:

25.5

Step-by-step explanation:

2( -21+9x)=2x+18

-42+18x=2x+18

+42            +42

18x=2x+60

-2x -2x

16x=60

60/16=3.75

x=3.75

GH=2x+18

2(3.75)+18

7.5+18=25.5

GH=25.5

Answer:

The angle of elevation from the ground to the plane is 11.5 degrees

Step-by-step explanation:

Given -

Horizontal distance from the point of takeoff to which the plane flies in a straight line = 4000 feet

The vertical distance travelled from the ground to the plane is 800 feet

Angle of Elevation

[tex]Sin X= \frac{800}{4000} \\X = Sin^{-1}\frac{800}{4000}\\X = 11.5[/tex]

The angle of elevation from the ground to the plane is 11.5 degrees

Answer:

600

Step-by-step explanation:

The length of the actual car is 600.

Scale factor is that it is a number that multiplies times a given quantity to produce a smaller or larger version of the original number. The ratio of any two corresponding lengths in two similar geometric figures.

For the given situation,

The scale factor of a model car = 2

The length of the model car = 300

The length of the actual car = [tex]300(2)[/tex]

⇒ [tex]600[/tex]

Hence we can conclude that the length of the actual car is 600.

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Answer:

The 16oz is a better deal

Step-by-step explanation:

32 = 2 * 16

buying 2 packages of 16 oz cost

0.79 * 2 = 1.58

1.58 < 2.09

The 16oz is a better deal

Answer:

The 16 oz package.

Step-by-step explanation:

Make the 16 oz a 32 oz so we can compare the prices

Mutiply 0.79 X 2 = 1.58

The 16 oz is because you can buy it twice making it a 32 oz for less than the orginal 32 oz.

(Compared side by side)

2.09 > 1.58

hope this helped!

Answer:

88 units

Step-by-step explanation:

[tex] In\: \triangle OBR \:\&\: \triangle OWN[/tex]

BR || WN (Given)

Therefore,

[tex] \angle OBR \cong \angle OWN[/tex] (Alternate angles)

[tex] \angle BOR \cong \angle WON[/tex] (Vertical angles)

[tex] \therefore \triangle OBR \sim \triangle OWN[/tex] (AA postulate)

[tex] \therefore \frac{OR}{ON} =\frac{BR}{WN} [/tex] (csst)

[tex] \therefore \frac{OR}{56} =\frac{24}{42} [/tex]

[tex] \therefore \frac{OR}{56} =\frac{4}{7} [/tex]

[tex] \therefore OR =\frac{4\times 56}{7} [/tex]

[tex] \therefore OR ={4\times 8} [/tex]

[tex] \therefore OR =32 [/tex]

RN = OR + ON

RN = 32 + 56

RN = 88 units

Answer:

(x-3^2+y+2^2 =25

Step-by-step explanation:

Answer: [tex]\$791.28[/tex]

Step-by-step explanation:

Given

The radius of the sphere is 3 cm

Silver cost [tex]\$7[/tex] per [tex]cm^3[/tex]

The volume of a sphere is  [tex]\frac{4\pi}{3}r^3[/tex]

Put the values

[tex]\Rightarrow \dfrac{4\pi}{3}\times 3^3\\\\\Rightarrow \dfrac{4\times 3.14}{3}\times 3\times 3^2\\\\\Rightarrow 113.04\ cm^3[/tex]

The price of this sphere is

[tex]\Rightarrow 113.04\times 7=\$791.28[/tex]

Answer:

31.71 mm

Step-by-step explanation:

#1: Find V of cube

(L)(W)(H) = V

(3)(3)(3) = V

27= V

#2: Find V of the half sphere.

3 (diameter) × π = 9.42 (rounded)

9.42/2 (since 9.42 is the volume for a whole sphere)

=4.71

#3: 4.71+27= 31.71

:)

Answer:

The Monument is taller than the child by 174.125 meters

Step-by-step explanation:

The Monument in Santiago measures 175 meters. A child measures 87.5 centimeters.

Step 1

Convert child's height to meters

100cm = 1 m

87.5 cm = x

Cross Multiply

100cm × x = 87.5 cm × 1m

x = 87.5 cm × 1m/100cm

x = 0.875m

Step 2

How much is the Monument taller than the child?

This is calculated by subtracting Child's height from Monument height

= 175 m - 0.875m

= 174.125 m

Therefore, the Monument is taller than the child by 174.125 m

Answer:

Vajsjke

Step-by-step explanation:

ggzodxkdfdjhs

Answer:

8+6x=30+4x+2 The answer is 12

Step-by-step explanation:

Reason - The sum of opposite interior of a triangle is equal to opposite exterior angle .

Answer:

13.9 ft

Step-by-step explanation:

Since the triangle is a right triangle we can use pythagoreom theorm.

16^2=8^2+a^2 (a is the unknown side)

256= 64+a^2

192= a^2

Square root both sides and you get around 13.9 ft

Answer:

6.00

Step-by-step explanation:

Answer:

an=yearn−year−0.17n+0.34

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

17% × 4

68%

Answer: 8,500

Step-by-step explanation:

Answer:

8250 mL

Step-by-step explanation:

Multiply the volume value by 1000

Answer1/4  hope this help

Step-by-step explanation:

Answer:

Hello! I know I am late but here is the answer for anyone else who might need it.

D. 1/2-i√3/2

Step-by-step explanation:

I got it right on edge. Hope this helps!

The value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].

What is binomial theorem?

The expression of the form (a+b)^n is expand by binomial theorem.

The expansion is [tex](a+b)^{n}=\sum_{r=0}^{n}{ }^{n} C_{r} a^{n-r} b^{r}[/tex].

Use a=1/2 and b=[tex]b=\frac{i\sqrt{3} }{2}[/tex] into the expansion of binomial.

[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\sum_{k=0}^{5}\left(\begin{array}{l}5 \\k\end{array}\right)\left(\frac{1}{2}\right)^{5-k}\left(\frac{\sqrt{3} i}{2}\right)^{k}[/tex]

When k=0 then, [tex]\left(\begin{array}{l}5 \\0\end{array}\right)\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{5 !}{(5-0) ! 0 !}\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{1}{32}[/tex]

When k=1 then, [tex]\left(\begin{array}{l}5 \\1\end{array}\right)\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 !}{(5-1) ! 1 !}\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 \sqrt{3} i}{32}[/tex]

When k=2 then, [tex]\left(\begin{array}{l}5 \\2\end{array}\right)\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=\frac{5 !}{(5-2) ! 2 !}\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=-\frac{15}{16}[/tex]

When k=3 then, [tex]\left(\begin{array}{l}5 \\3\end{array}\right)\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=\frac{5 !}{(5-3) ! 3 !}\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=-\frac{15 \sqrt{3} i}{16}[/tex]

When k=4 then, [tex]\left(\begin{array}{l}5 \\4\end{array}\right)\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{5 !}{(5-4) ! 4 !}\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{45}{32}[/tex]

When k=5 then, [tex]\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{5 !}{(5-5) ! 5 !}\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{9 \sqrt{3} i}{32}[/tex],

Now we will add all the results to get the expansion of given expression,

[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{32}+\frac{5 \sqrt{3} i}{32}-\frac{15}{16}-\frac{15 \sqrt{3} i}{16}+\frac{45}{32}+\frac{9 \sqrt{3} i}{32}[/tex]

On simplifying,

[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex]

Therefore, the value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].

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Answer: y=x+    

Step-by-step explanation:

In order for two lines to be paralell, their slopes must be the same but their y intercepts must be different. Therefore, any line that looks like y=x+  (anything but 7)   will be paralell.

Answer:

C 684 sq. m

Step-by-step explanation:

[tex]A = \frac{a + b}{2} h[/tex]

(26 + 46) /2  x 19 = 684