Use the formula S = 40,000(1.06)' to calculate your salary after 4 years. Round your answer to the nearest dollar.
a. $42,400
b. $44,944
C. $47,641
d. $50,499

Explanation:

Let x be the length of the third side. We can't find the exact value of x, as we don't have enough info, but we can find possible values for x.

The lower boundary for x is 13-8 = 5. It must be larger than this value.

At the same time, x must be smaller than 13+8 = 21 as well.

So x > 5 and x < 21 becomes 5 < x < 21

In short, x is between 5 and 21. It cannot equal either endpoint.

Answer:

Step-by-step explanation:

:)

Answer:

30 cents

Step-by-step explanation:

The box would have 11 oz. (10x1.1)

$3.30/11=30cents

Answer:

30 cents per ounce

Step-by-step explanation:

i got it right

Answer:

Step-by-step explanation:

Absolute maximum:  none

Absolute minimum:  -4.5 (when x = 2.5)

Relative maximum:  (-0.5, 4)

Answer:  see Steps 1 - 5 (attached)

Step-by-step explanation:

I completed #1 for you. Each image shows one of the steps.

Follow the exact same steps to complete #2 - #5

#6 asks for a double angle.  

Add an extra item to step 3: Draw an arc from vertex through the line  

--> then draw another arc from B' to the other side of your line (away from the dot) and label that intersection as B''.  Use the measure of the vertex to B'' for the remaining steps.

If you need step-by-step images, you will need to post #6 separately as I can only upload 5 images per question.

Answer:

It states that assuming the trunk is 96" long.  So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.

Step-by-step explanation:

The length of the diagonal of the trunk is 56.356011 inches.

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.

Given:

height of the trunk= 26 inches

length of the trunk= 50 inches

using Pythagorean theorem,

diagonal length of the trunk=√(height² +length²)

=√(26²+50²)

=√3176

=56.356011 inches

Hence, the length of the diagonal of the trunk is 56.356011 inches.

Learn more about this concept here:

https://brainly.com/question/17106915

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Answer:  60%

Step-by-step explanation:

75% passed the math exam

80% of 75% passed both exams

0.80(0.75) = 0.60

Answer:

The value of a is e³ and b is e.

The steps are :

First, you have to integrate the expression shown in the first picture.

Next, you have to solve it as simultaneous equation shown in the second picture.

You have to apply :

[tex] ln(b) - ln(a) = ln( \frac{b}{a} ) [/tex]

[tex] ln(y) = x \: ⇒ \: {e}^{x} = y[/tex]

Answer:

all real numbers are solutions

Step-by-step explanation:

1) simplify the equation 4x^2+12x+9=(2x+3)^2 is the same as 4x^2+12x+9=4x^2+12x+9

2)subtract 4x from both sides 12x+9=12+9

3)subtract 12x from both sides 9=9

4)subtract 9 from both sides 0=0

I really hope this helps!!!:)

Answer:

y is 3.6

Step-by-step explanation:

The information given are

Parallel lines crossing two converging lines with proportion 3 and 5 on one and 6 and y on the other

To find y, we have that two or more parallel lines cut by two transversal proportionately cut the transversal lines;

Therefore we have from the measured segment of the two lines;

[tex]\dfrac{3}{5} = \dfrac{y}{6}[/tex]

Which gives;

3 × 6 = 5 × y

y = 3 × 6/5 = 18/5

y = 18/5 = [tex]3\frac{3}{5}[/tex] , which is equal to 3.6.

Answer:

Step-by-step explanation:

It's y = x^2, not y = x2.  The graph of y = x^2 is a parabola with vertex (0, 0) and which opens up.

The graph of y = (x + 5)^2 has the same shape as that of y = x^2, but has been translated 5 units to the left.

The graph of the function f(x) = - (x + 5)² will rotate along the x-axis and shift 5 units to the left.

There are four different kinds of translation: stretching, shrinking, rotating, and shifting.

When shifting, the entire graph is moved in the XY direction. When expanding and contracting a graph, we do so by a factor of k. When rotating a graph, we do so either clockwise or counterclockwise.

We know the graph of the equation y = x² is a parabola that opens upwards.

Now, the graph of equation f(x) = - (x + 5)² will first rotate 180° along the x-axis as there is a change in sign y and shift x + 5 = 0 ⇒ x = - 5 shift 5 units to the left.

learn more about translation here :

https://brainly.com/question/17485121

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Hey there! I'm happy to help!

The IQR is how far apart the first and third quartiles are, which are the middle numbers of the first and second halves of a data set. Let's find some random numbers that are 17 apart. We will use 3 and 20.

Now, we have to create a data set where 3 is the middle number of the first half and 20 is the middle number of the second half. Let's have one with six numbers because that's a good amount I guess. Remember that the data has to be going from least to greatest.

In our first half we will have one number that is smaller than 3 and one bigger than three so that 3 is in the middle. Here's an example of what our first half should look like:

2,3,5

Now, for our second half, we need a number smaller than 20 and one greater than 20 so 20 is the the middle. Here's the second half I've made for you.

16,20,100

So, the data set I've created for you is 2,3,5,16,20,100. However, there are many other possibilities as you've seen.

My answers for your question 1 and 2 are in the explanation I've done, and here's the math that shows that the interquartile range is 17.

You split the data in half.

2,3,5,         16,20,100

Q1 is the middle number of the first, which is 3. Q3 is the middle of the second, which is 20.

You find how far apart they are by subtracting 3 from 20.

20-3=17.

The IQR is 17.

Have a wonderful day! :D

Answer:

that was my same answer:)

there very smart

Step-by-step explanation:

Answer:

[tex]\boxed{y=14}[/tex]

Step-by-step explanation:

[tex]y=x+6[/tex]

[tex](x, y)[/tex]

The x coordinate is given.

[tex](8,y)\\x=8[/tex]

Plug x as 8.

[tex]y=8+6\\y=14[/tex]

Answer:

hope it helps

Step-by-step explanation:

-3.75 , root8 , 9/4 , 3

Answer:

Step-by-step explanation:

a , [tex]5\frac{9}{14}[/tex]

b,[tex]7\frac{1}{2}[/tex]

Answer:

A) 5 9/14

B) 7 1/2

Step-by-step explanation:

Question A asks what is 4 1/7 + 1 1/2

First turn the problem into improper fraction for it to be easier to calculate.

29/7 + 3/2

Now we have to find the denominator(bottom number)

We have 7 and 2 as our denominators. So we need to find out the lcm(least common factor)

For 7 and 2 the lcm is 14

So far we have:

29/7 + 3/2 = ?/14 + ?/14 = ?

Now we need to find the numerator(The top number). That fills in the ? over the two 14's.

To find the numerator we need to mutiply.

29/7 + 3/2 = ?/14 + ?/14 = ?

7 × ? = 14 the answer is 2 so then we multiply the top also with 2. So 29 × 2 = 58.

29/7 + 3/2 = 58/14 + ?/14 = ?

Now we have figured out one of the ?

We do the same thing for the other one

2 × ? = 14 answer is 7 so we also multiply the top with 7. 3 × 7 = 21.

29/7 + 3/2 = 58/14 + 21/14 = ?

Now we have to solve this:

58/14 + 21/14 = ?

The denominator is 14 because both of them are 14.

The top we need to add together so 58+21= 79

Now our answer is:

79/14

If we simplify it(by turning into improper fraction):

5 9/14

B) question is 4 1/2 ÷ 3/5

First we turn it into inproper fraction

9/2 ÷ 3/5

Since it is divsion we have to flip the second fraction which is 3/5 into 5/3, and turn the ÷ symbol into ×

9/2 × 5/3

Now we multiply across

9×5 = 45

2×3 = 6

answer: 45/6

Now if we simplify:

7 1/2

Hope that helped! that was long.. I would apreciate a brainlist if you could, thx!

Answer:

384

Step-by-step explanation:

6 squares of 8x8=

8x8x6=384

Answer:

Biker 1: 20mph

Biker 2: 15mph

Step-by-step explanation:

Look at the x - axis bar thing at 1 hour, if you look up a little, you see 2 dots. Those are the dots for the mile per hour. You can see the blue dot is at 20 miles and the red one is at 15.

There are two ways to do this. The first method you would multiply each original side by 2 to get 7 for each side. The new perimeter would be 7+7+7 = 21.

Or you could find the perimeter of the original figure (3.5+3.5+3.5 = 10.5) and then multiply that by 2 to get the same result (10.5*2 = 21)

Answer:

24 x 8 ÷ 2

Step-by-step explanation:

Because need to use the straight line to find the area and divide by 2 because it is half of square

Answer:

108 cm²

Step-by-step explanation:

Area of trapezium = 1/2(a+b)h

1/2(1+8) x 24=

4.5 x 24 =

108 cm²

I hope this helped!!

Answer:

B. Rhombus

Step-by-step explanation:

no. You're just here for the answer, like a lot of us.

Divide his points by teams points and multiply by 100:

160/640 = 0.25

0.25 x 100 = 25%

He scored 25% of the total points.

Answer:

25%

Step-by-step explanation:

640/140=4

james was responsible for 1/4 of the points which is equal to 0.25 when 1 is divided by 4, which times 10 is equal to 25, so the answer is 25%

Good Luck on whatever your doing!!!

Answer:

7 nickels and 17 pennies

Step-by-step explanation:

7 nickels will give you an answer of 35 and if you subtract 35 from 52 that leaves you with 17. 17 is the number of pennies since it is the remainder and each penny is one cent each

Answer:

c

Step-by-step explanation:

Answer:

$6250

Step-by-step explanation:

6250x.075x8=3750

6250+3750=10,000

Answer:

x=11.6

Step-by-step explanation:

According to the angle addition postulate, if B lies on AC, than AB+BC=AC.

We can use this to create this equation.

x+12+2.4=26 Where x+12 is the value of AB and 2.4 is BC.

The next step is to combine like terms, so we add 12 to 2.4 to get

x+14.4=26. When trying to find the value of a variable, you must isolate it. To do this for this equation, we must subtract 14.4 from both sides which will give you.

x=11.6

Hope this helps. If you have any follow-up questions or I misunderstood the question, please tell me and I will fix it or explain more.

Have a great day! :)

Answer:

49π

Step-by-step explanation:

Circle area: πr^2

Since A to C is 14, and they're both in the center, A to B and B to C will both be 7 as a radius.

Since we know the radius, we can put it in the formula, πr^2.

We only need to solve for one circle, since both circles are the same. By solving the circle, we will put in 7 for the radius, giving us π7^2, which is 49π.

From the information about a standard deck of cards, it is found that:

There are 28 ways in which she can choose a jack or a black card.

--------------------------------------------

A standard deck of cards is composed by:

--------------------------------------------

The desired outcomes are:

26 + 2 = 28, thus:

There are 28 ways in which she can choose a jack or a black card.

A similar problem is given at https://brainly.com/question/24233657

Answer:

16a^2+5

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

If a number is divisible by 5, then the last digit is either 0 or 5.

Since all the digits are even, the last digit must be 0.

There are 4 options for the first digit (2, 4, 6, 8).

There are 5 options for the second digit (0, 2, 4, 6, 8).

There are 5 options for the third digit (0, 2, 4, 6, 8).

So the total number of numbers is:

4×5×5×1 = 100