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3 years ago

9

12 flowers were planted in a row, and after that between each two flowers was planted one more flower. Then, the same pattern wa

s repeated four more times. In total, how many flowers have been planted ?

1 answer:

serious [3.7K]3 years ago

6 0

Answer:

23 flowers

Step-by-step explanation:

(For a visual example)

Take a slip of paper and draw 12 lines evenly spaced apart.
Draw a line in between each of those flowers.
Count up all those flowers!

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The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

inn [45]

Answer:

Product A has a greater percentage change in price.

Step-by-step explanation:

Part A:

The price f product A, f (<em>x</em>) after <em>x</em> years is given by:

$f(x) = 0.69\cdot(1.03)^{x}$

After <em>x</em> = 0 years, the price of product A is:

$f(0) = 0.69\cdot(1.03)^{0}=0.69$

After <em>x</em> = 1 years, the price of product A is:

$f(1) = 0.69\cdot(1.03)^{1}=0.69\cdot (1+0.03)=0.69\cdot (1+3\%)$

After 1 year, the price of product A is 3% times more than the original price.

This means that after one year, the new price is 103% of the original price, which means the price product A is increasing by 3%.

Again after <em>x</em> = 2 years, the price of product A is:

$f(2) = 0.69\cdot(1.03)^{2}=[0.69\cdot (1+3\%)]\times (1.03)$

This implies that after 2 years, the price of product A is 103% of the price after year 1.

This implies that the price of product A is 3% more than the previous year.

Thus, the price of product A is increasing each year by 3%.

Part B:

The data for Product B is as follows:

Time (t) Price [f (t)]

1 10,100

2 10,201

3 10,303.01

4 10,406.04

Product B is clearly increasing in price.

Consider the changes in price of Product B in the following intervals of years:

Year 1 - Year 2:

Price in year 1 = $10,100

Price in Year 2 = $10,201

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10201-10100}{10100}=0.01=1\%$

Year 2 - Year 3:

Price in Year 2 = $10,201

Price in year 3 = $10,303.01

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10303.01-10201}{10201}=0.01=1\%$

Year 3 - Year 4

Price in year 3 = $10,303.01

Price in Year 4 = $10,406.04

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10,406.04-10303.01}{10303.01}=0.09999\approx 0.01=1\%$

It is quite clear that the price of product B increases by 1% each year.

Thus, Product A has a greater percentage change in price.

3 0

3 years ago

Using the diagram below, determine which statement is NOT true.

nadya68 [22]

Answer:

C. Angles X and Z are supplementary

Step-by-step explanation:

A: This is true because in Angle Y, a right angle is shown. A right angle is worth 90°.

B: This is true because X, Y, and Z are supplementary (add to 180), and given that Angle Y is 90 degrees, 180 - 90. Thus, they're complementary.

C: This is false and the correct answer choice because Angle Y exists too. Angle X and Z, added together, would make 90 degrees, not 180.

D: This is true because Angles Y and Z are right next to each other, and that's what adjacent means.

Therefore, the answer is C.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

5 0

2 years ago

Read 2 more answers

A room is 20 feet by 25 feet with a 10-foot ceiling. If Mickey paints the walls and the ceiling, how much surface area will he c

Svetradugi [14.3K]

Answer:

1400ft²

Step-by-step explanation:

Given

Room Dimension: 20 ft by 25 ft by 10 ft

Where Length = 20 ft

Width = 25 ft

Height = 10 ft

Required

Surface area of painted walls and ceiling

We'll assume that the room is rectangular in shape and all 4 sides are covered.

<em>This means that Mickey will paint 4 walls and 1 ceiling.</em>

The dimension of the 2 of the 4 walls is as follows;

20ft by 10ft, 25ft by 10ft,

Because opposite sides of a rectangle are equal, the dimension of the remaining 2 walls is: 20ft by 10ft, 25ft by 10ft

Calculating the area of the 4 walls;

$Area = 20ft * 10ft + 25ft * 10ft + 20ft * 10ft + 25ft * 10ft$

$Area = 200ft^2 + 250ft^2 + 200ft^2 + 250ft^2$

$Area = 900ft^2$

The dimension of the ceiling is as follows:

20ft by 25ft

Calculating the area of the ceiling

$Area = 20ft * 25ft$

$Area = 500ft^2$

So, the area Micky will cover = Area of 4 walls + Area of ceiling

Total Surface Area $= 900ft^2 +500ft^2$

Total Surface Area = $1400ft^2$

Hence, Micky will cover 1400ft²

6 0

4 years ago

2n=4x+2y;n<br><br>find the variable n

Alenkinab [10]

$2n=4x+2y\qquad|\text{divide both sides by 2}\\\\n=\dfrac{4x}{2}+\dfrac{2y}{2}\\\\n=2x+y$

7 0

3 years ago

Find the volume of the prism.

Minchanka [31]

Volume = L x W x H
In this case, it would be 24m x 4m x 2m = 192 meters cubed.

6 0

3 years ago