find the amount to which $500 will grow in five years following 12% compound annually ​

Answer:

9

Step-by-step explanation:

If original rect was 5 square units and if new rect is 45 square units, then

scale factor  = 45/5 = 9

Answer:

The scale factor is 3

Step-by-step explanation:

The area of rectangle N is 5 units

The area of rectangle P is 45 units

Distance is times the scale factor

Area is times the scale factor squared

Volume is the scale factor cubed

Area of rectangle N * scale factor  squared = Area of rectangle P

5 * SF ^2 = 45

Divide each side by 5

5/5 * SF ^2 = 45/5

SF ^2 = 9

Now we need to take the square root of each side to find the scale factor

sqrt(SF ^2) = sqrt(9)

SF = 3

Answer:

he earns $24 a hour

Step-by-step explanation:

31,200 divide by 52 (that is how many weak's are in a year) = 600

600 divide by 24 = 24

:)

Ms. Juarez earns $24 per hour.

To determine how much Ms. Juarez earns each hour, we need to find her annual salary first.

Since Ms. Franklin earns $31,200 per year and Ms. Juarez earns the same amount annually, Ms. Juarez also earns $31,200 per year.

Next, we calculate the number of hours Ms. Juarez works in a year. She works 25 hours per week, and there are 52 weeks in a year:

Weekly hours x Number of weeks = Total yearly hours

25 hours/week x 52 weeks/year = 1,300 hours/year

To find her hourly wage, we divide her annual earnings by the number of hours she works in a year:

Annual salary / Total yearly hours = Hourly wage

$31,200 / 1,300 hours = $24 per hour

Therefore, Ms. Juarez earns $24 per hour.

Answer: No

Step-by-step explanation:

Pythagorean Theorem goes with a right triangle, the formula is a^2+b^2=c^2.

Let's try this out with your values.

(18*18)+(12*12) = 468

If this is true than c^2 is 468

c^2 or (22*22) is 484 is this is not a right triangle.

Answer:

Its x/2 = -25 because if you transpose 2 to the other side, it'll become -25*2 which is equal to -50

Answer:

x/2 = -25

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

x/40 = 7/56

Reduce the right fraction.

x/40 = 1/8

Now cross multiply.

8x = 40

Divide both sides by 8.

x = 5

Answer:

50 pairs

With the sum of 99, we will get 50 pairs whole numbers. Why? Therefore, if you're going to count all pairs of whole number, you will get 50 pairs of whole number with the sum of 99

Answer:

366 muffins

Step-by-step explanation:

28 x 12 = 336

5 x 6 = 30

336 + 30= 366 muffins

The total number of muffins the store ordered is, 366

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A store ordered 28 boxes holding 12 banana muffins each and five boxes holding 6 blueberry muffins each.

Hence, Number of banana muffins is,

⇒ 28 x 12 = 336

And, Number of blueberry muffins is,

⇒ 5 x 6 = 30

Thus, The total number of muffins the store ordered is,

336 + 30 = 366 muffins

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Answer:

[tex]x=-1;\ y=8\\x=5;\ y=2[/tex]

Step-by-step explanation:

You can make both equations equal and solve for the variable x, as you can see below:

[tex]-x+7=0.5(x-3)^2[/tex]

Keep on mind that:

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Then:

[tex]-x+7=0.5(x-3)^2\\-x+7=0.5(x^2-2(x)(3)+3^2)\\-x+7=0.5x^{2}-3x+4.5\\0=0.5x^2-2x-2.5[/tex]

Apply the quadratic formula:

[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-2)+/-\sqrt{(-2)^2-4(0.5)(-2.5)}}{2(0.5)}\\x=-1\\x=5[/tex]

Substitute each value into one of the originl equations to find y, then:

[tex]y=-(-1)+7=8\\y=-5+7=2[/tex]

Answer:

The solutions are (-1,8) and (5,2).

Step-by-step explanation:

The slower plane is flying at a speed of 380 mph and the faster plane is flying at a speed of 420 mph.

For your question, we can use the rates, times, and distances properties for the two planes.

Scene: Two planes are flying towards each other, so their speeds will add up. Their total combined distance covered will be 1680 miles (they cover this in 2 hours). As stated, the speed difference between the two planes is 40 mph.

Let's denote the slower plane's speed as x (in mph) then the speed of the faster plane will be x + 40 mph.

For each plane, we know that distance = speed * time, so over those 2 hours, the slower plane travels 2x miles and the faster one travels 2*(x + 40) miles. The total distance both planes traveled is 1680 miles, so we can set up the following equation:

2x (slower plane's distance) + 2(x + 40) (faster plane's distance) = 1680

Solving this equation for x, we get x = 380 mph. Therefore the slower plane speed is 380 mph and the faster plane speed is 380 mph + 40 mph = 420 mph.

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Answer:

256/81

Step-by-step explanation:

The exact form is 256/81.

For this case we have that by definition of power properties:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

We have the following expression:

[tex](- \frac {3} {4}) ^ {- 4}[/tex]

We can rewrite it as:

[tex](- \frac {3} {4}) ^ {- 4} = \frac {1} {(- \frac {3} {4}) ^ {4}} = \frac {1} {\frac { 3 ^ 4} {4 ^ 4}} =[/tex]

Applying double c we have:

[tex] \frac {4 ^ 4} {3 ^ 4} = \frac {256} {81}[/tex]

Answer:

Option D

Answer:

1/4

Step-by-step explanation:

Both dice have odd numbers 1, 3, 5. The chances of getting an odd number on each number is 3/6

The probability of getting odd numbers on both is:

3/6 ⋅ 3/6 = 9/36 = 1/4

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

one head is 1/2 tails twice is 1/4

multiply and get 1/8 but thats not the answer yet

a possibility could be htt or tht

so u muiltiply by number of possibilities of one head which 3!/2!

3/8

Answer:

[tex]\frac{3}{8}[/tex] is the probability of getting exactly one heads.

Step-by-step explanation:

Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}[/tex]

We have : sample space = S =[HHH,HHT,HTH,HTT,THH,THT,TTH,TTT ]

Favorable outcomes of getting single head (H) = [HTT, THT, TTH]

Probability of getting single heads = P(H)

P(H) = [tex]\frac{3}{8}[/tex]

[tex]\frac{3}{8}[/tex] is the probability of getting exactly one heads.

First find out the ares of the square

10×10

100

Square Area = 100

Next, find the length of the sides of the triangle

16-10= 6

10-6= 4

Multiple the sides of the triangle a divide by two

6×4

24

24÷2

12

Add both the area of the square and triangle together

100+12

112

The area of the figure is 112

Answer:

Step-by-step explanation:

10x10=100in (Area of square )

(10-6)x6/2=12in (Area of triange )

100+12=112in

Answer:

Option B.

Technician A only

Step-by-step explanation:

Since we are talking about the most important function of a piston, the technician A is correct.

A piston is used to transfer force from expanding gas in the cylinder to the crankshaft , in an engine.

In a pump,  its purpose is compressing or ejecting the fluid in the cylinder.

Technician B is not correct, because piston rings are used for creating a seal between piston and cylinder walls.

Answer:

B. Technician A only

Step-by-step explanation:

PENN

Answer:

Option 3

Step-by-step explanation:

If you look it has 2 rectabgular shaped at the top and bottom of the net allowing it to make the rectangular sides on number 3. Good Luck! Hope this helps.

Answer:

Uhm I very late but I u can give them the crown lol also was that answer correct? I’m on it right now-

Step-by-step explanation:

Answer:

m<A = 133

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

That means that m<A + m<C = 180.

m<A + m<C = 180

4x + 5 + x + 15 = 180

5x + 20 = 180

5x = 160

x = 32

m<A = 4x + 5

m<A = 4(32) + 5

m<A = 128 + 5

m<A = 133

Answer:

40 mph

Step-by-step explanation:

120/3=40

Answer:

The answer is D

(x=3, y=8)

Step-by-step explanation:

We want to reduce as many variable as we can so, we can obtain the value for the remaining variables.

Therefore, the first equation y=x+5 multiply it -2., you have -2y=-2x-10 and sum it to the second (2y-x=13), you will obtain the following: -x=13-2x-10.

You have x=3.

If you substitute x=3 in the first equation, you have y=8

Answer:    13

Step-by-step explanation:

you subtract 15 and 2 you will get 13

Answer:  AC = 15, BD = 7.2

Step-by-step explanation:

Use Pythagorean Theorem to solve for AC:

AB² + BC² = AC²

12² +  9²  = AC²

144 + 81  = AC²

        225 = AC²

      √225 = √AC²

          15 = AC

To solve for BD, set up a proportion using the the small side and hypotenuse of ΔABC and ΔADB.

[tex]\dfrac{s}{h}:\dfrac{9}{15}=\dfrac{BD}{12}[/tex]

      [tex]\dfrac{9(12)}{15}=BD[/tex]

            7.2 = BD

Answer:

20

Step-by-step explanation:

Area of Triangle = 1/2b*h

Area of Triangle = 1/2*4 2/3*8 4/7

Area of Triangle = 20

Answer:

complementary angles

Step-by-step explanation:

Adjacent angles form a right angle.

A right angle is 90 degrees.

Two angles that add to 90 degrees are complementary.

The adjacent angles are complementary

1,680 inches. This is the answer.

Answer:

10+x/6

Step-by-step explanation:

Answer:

169pi feet^2.

Step-by-step explanation:

The diameter = 26pi / pi = 26 feet and the radius = 13 feet.

The area  = pi r^2 = 13^2 pi

= 169pi feet^2

The area of the circle should be [tex]169\pi feet^2.[/tex]

The circumference is 26 pi feet

Since the circumference is 26 pi feet

We know that

Circumference = [tex]2\pi r[/tex]

So,

[tex]26\pi = 2\pi r[/tex]

So radius be 13

Now the area should be

[tex]= \pi 13^2\\\\= 169\pi feet^2[/tex]

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Answer:

Yes

Step-by-step explanation:

Multiply 4/5 so that they have a common denominator.

14/15 > 12/15 (4/5)

yes, 14/5 is larger than 4/5