Suppose you invested $500 in K-Mart stock in October
of 2001. Each month the stock lost 2% of its value.
How much was the stock worth in October of 2002?
(HINT: The loss is per MONTH.)

Answer:

75.5

Step-by-step explanation:

The correct height of the flower basket above the ground is 75.5 inches.

To determine the height of the flower basket above the ground, we can use trigonometry. The camera forms a 25 ° angle of elevation with the flower basket, and the distance from the camera to the base of the rod is given as 72 inches. We also know that the camera is positioned 42 inches above the ground.

We can use the tangent function, which relates the angle of elevation to the opposite side (the height of the flower basket above the camera's height) and the adjacent side (the horizontal distance from the camera to the rod).

Let's denote the total height of the flower basket above the ground as h, and the height of the camera above the ground as [tex]h_c[/tex] = 42 inches. The height of the flower basket above the camera is then [tex]\( h - h_c \)[/tex].

Using the tangent function:

[tex]\tan(25\°) = \frac{\text{opposite}}{\text{adjacent}}[/tex]

[tex]= \frac{h - h_c}{72}[/tex]

We can solve for h:

[tex]\[ h - h_c = 72 \times \tan(25\°) \][/tex]

[tex]\[ h = 72 \times \tan(25\°) + h_c \][/tex]

Now we calculate the value of tan(25°) and substitute the known values:

[tex]\[ h = 72 \times \tan(25\°) + 42 \][/tex]

Using a calculator, we find that 25° is approximately 0.4663. Plugging this value into the equation gives us:

h = 72 x 0.4663 + 42

h = 33.5 + 42

h = 75.5

Therefore, the flower basket is approximately 75.5 inches above the ground.

Step-by-step explanation:

First we will multiply 24 by 1 = 24 we have to find the factors of 24 that may add or subtract = 2

So

r2 - 6t + 4t - 24

r2 - 6t + 4 ( t - 6)

So the factors are ( r2 - 6t + 4) and (t - 6)

Answer:

a = 2

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Sum the exterior angles and equate to 360, that is

66a + 56a + 31a + 27a = 360, that is

180a = 360 ( divide both sides by 180 )

a = 2

a) 8:14

b) 6:8

yeah its telling me I'm short of words

Answer:

C. square root 189 in.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Answer:

.54

Step-by-step explanation:

The probability of a non-glove item is: (# of non-glove items)/(total # of items)

There are 27 non-glove items and 23 gloves. That makes the probability of choosing a non-glove item:

27/(23+27)=

27/50 =

.54

Answer:

3/8

Step-by-step explanation:

So, three outcomes give two heads and a tail (HHT, HTH, THH). Therefore, the probability of getting two heads and a tail is 3/8.

Answer:

3/8

Step-by-step explanation:

The possible outcomes are

HHH HHT HTH HTT

TTT TTH THT THH

where H is heads and T is tails

We want one head and two tails

HTT,TTH THT

There are 3 choices that fit

P ( one head and two tails is)= number of one head two tail/ total

                                                = 3/8

Answer:

nice

Step-by-step explanation:

mhm thats very nicee

Answer:

a^-7

Step-by-step explanation:

you would subtract the powers

-13 - -6 = -7

Answer:

1/a^19 (1 over a to the 19th power)

Step-by-step explanation:

when you divide, you subtract the exponents. -13 minus -6 is -19. when its a negative, you put it positive over 1. hope this helps :)

work:

a^-13/a^-6= a^-19

a^-19 --> 1/a^19

*****this is wrong, answer is 1/a^7

Answer:

9.85

Step-by-step explanation:

Because you need to find the mean by doing (14.5+5.2)/2

Answer:

the middle no is 7.25

14.5/3= 7.25

414 rupees

98942 is the accurate answer

Step-by-step explanation:

when the retailer buys the product, its price would be

480-[480*25/100] = 480-120 = 360 rupees.

if the retailer wants to sell it at a profit of 15%

360+[15/100*360] = 360+54 =414 rupees

Answer:

5r

Step-by-step explanation:

12−

1

5r

=

60r−1

5r

To solve the equation 12 - 1/5r = 2r + 1 for r, isolate the variable r on one side of the equation. The equation simplifies to 5 = 1, which is not possible. Therefore, there is no solution for r in this equation.

To solve for r in the equation 12 - 1/5r = 2r + 1, we will isolate the variable r on one side of the equation.

Step 1: Combine like terms by adding 1/5r to both sides of the equation:

12 - 1/5r + 1/5r = 2r + 1 + 1/5r

12 = 2r + 1 + 1/5r

Step 2: Combine like terms by subtracting 1 from both sides of the equation:

12 - 1 = 2r + 1 - 1 + 1/5r

11 = 2r + 1/5r

Step 3: Combine like terms by finding a common denominator for the terms involving r:

11 = (10r + r)/5r

Step 4: Simplify the equation:

11 = (11r)/5r

Step 5: Multiply both sides of the equation by 5r to eliminate the denominator:

11 * 5r = 11r

55r = 11r

Step 6: Divide both sides of the equation by 11 to solve for r:

55r/11 = 11r/11

5r = r

Step 7: Divide both sides of the equation by r:

5r/r = r/r

5 = 1

No solution exists for this equation.

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Answer:4

Step-by-step explanation:

1:6

Divide 6 by 24

you will get 4

Times your answer by 1 and then u will get your final answer

Answer:5(1.5) + 1.5(15)

=7.5 +22.5

=30

Answer:

5(1/5)+ 1/5(15) = 1 + 3 =4

Answer:

the hhh

Step-by-step explanation:

Answer:

A. 15, 20, 25.

Step-by-step explanation:

25^2 = 625

20^2 = 400

15^2 = 225.

Now 625 = 400 + 225 = 625 so it is choice A.

Answer:

First one:

Both the mean and median are greater for Plot A than for Plot B

Step-by-step explanation:

Set A:

Mean:

[1×10 + 2×7 + 2×6 + 2×5 + 2×4 + 1×3]/10

= 5.7

Median:

Median position: (10+1)/2 = 5.5th value

(5+6)/2

Median = 5.5

Set B:

Mean:

[1×7 + 3×6 + 3×5 + 2×4 + 1×3]/10

= 5.1

Median:

Median position: (10+1)/2 = 5.5th value

(5+5)/2

Median = 5

Mean: A is greater

Median: A is greater

This is not for this exact question, but I realized there was no answer to: Which statement correctly compares the measures of center of the data in the dot plots?

Answer:

C: The mode is greater for Mrs. Ramos’s class.

Step-by-step explanation:

edg2020

The surface area of the region he will paint is 900 sq.ft.

Step-by-step explanation:

Cubical room measures - 15 ft

Chaz want  to paint only the walls of room

Surface of painting region means Lateral surface area (excluding top and bottom)

Lateral surface area of cube = [tex]4a^2[/tex]      

 ⇒ 4 * 15 *15

 ⇒  900 sq.ft

  The surface area of the region he will paint is 900 sq.ft.

Answer:

$312,423.90

Step-by-step explanation:

Answer:

312,423.90

Step-by-step explanation:

Correct is b

Answer: The width of the border is 4 inches

Step-by-step explanation: The paper frame has its dimensions given as 20 inch by 24 inch. That means the area of the paper frame would be;

Area = L x W

Area = 20 x 24

Area = 480 square inches.

However, the photo itself covers an area of 320 square inches of this total surface area. If the photo has a uniform border, that means the photo and the paper frame are best described as congruent parallelograms (similar rectangles).

The ratio of the area of both paper frame and photo is given as;

Ratio = 480 : 320

Ratio = 3 : 2

When the length of the photo frame is given as 24, the length of the photo would be

3/2 = 24/L

L = (2 x 24)/3

L = 48/3

L = 16

Having calculated one side of the photo as 16 inches and the area has been given as 320 square inches, the other side of the photo is now derived as;

Area = L x W

320 = 16 x W

320/16 = W

20 = W

The dimensions of the paper frame is given as 24 inches and 20 inches, while those of the photo is given as 20 inches by 16 inches. The difference in both dimensions is 4 inches on either side (24 - 20 = 4, and 20 - 16 = 4)

Therefore the width of the border is 4 inches

Answer:

40 miles

Step-by-step explanation:

We have to find how many miles he runs per day. So if we divide 3 days by 3 to get 1 day, that means he would run 2 miles per day. So if we are trying to figure out how many miles he runs in 20 days, we do 20*2 which equals 40. Hope this helps.

(please mark me brianliest)

Answer:

40 miles

Step-by-step explanation:

He runs 2 miles per day

6 miles over 3 days is 2 miles per day

6 divided by 3 is 2

[tex]m(x)=-4x+11x^2+6x+14\\m(x)=11x^2+2x+14[/tex]

Equating the equation to 0 and solving it

[tex]11x^2+2x+14=0\\D=2^2-4*11*14=-612<0[/tex]

This equation has no solution, so we can't find rational zeros

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia

Answer:

12 miles

Step-by-step explanation:

Answer:

its 3

Step-by-step explanation:

Simplifying

8 = 3x + -1

Reorder the terms:

8 = -1 + 3x

Solving

8 = -1 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

8 + -3x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0

8 + -3x = -1 + 0

8 + -3x = -1

Add '-8' to each side of the equation.

8 + -8 + -3x = -1 + -8

Combine like terms: 8 + -8 = 0

0 + -3x = -1 + -8

-3x = -1 + -8

Combine like terms: -1 + -8 = -9

-3x = -9

Divide each side by '-3'.

x = 3

Simplifying

x = 3 this took forever to type hope it helped

Answer:

A) 4

B)-110

C) 16

Step-by-step explanation:

If you need to know how to solve it I'm here to help!

:)

Answer:

This is how i solve it:

Pythagorean theorem:

a squared + b squared = c squared

12 squared + 16 squared = c squared

144 + 256 = 400

square root of 400 is 20

final answer: 20

Answer:3

Step-by-step explanation:

Logarithm base 8 of 512 is 3.

Answer:3

Step-by-step explanation:

Answer:

Step-by-step explanation:

A perpendicular bisector is a line segment that goes form a vertex to its opposite side. The important characteristic is that a perpendicular bisector intersects the opposide at the mid point and with a right angle, that's why is called perpendicular and bisector.

So, Andrew can conclude that side BC is divide equally, that is, BD = DC.

Therefore, the right answer is the second choice.

Based on the given information after drawing the triangle Andrew can conclude only  BD = DC.

Use the concept of triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

Given that,

Andrew draws triangle ABC.

He constructs a perpendicular bisector from vertex A.

The perpendicular bisector intersects side BC at point D.

Based on Andrew's drawing,

He can conclude that BD is equal to DC.

The perpendicular bisector from vertex A divides side BC into two equal parts, making BD and DC congruent.

However, Andrew cannot conclude that AB is equal to BC,

AD is equal to BC, or AC is equal to BC based on the given information.

Hence,

For this triangle Andrew can conclude only BD = DC.

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Answer:

Step-by-step explanation: