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3 years ago

HELP ME IM SO CONFUSED

Mathematics

2 answers:

givi [52]3 years ago

6 0

Answer:

1) 4812 students
2) 763 pounds
3) $30906.76

Step-by-step explanation:

Initial number = 2988
Rate of increase = 10%

Number of students after 6 years:

$a_6 = 2988(1+0.1)^{6-1} = 4812$

Initial number = 1200
Rate of decrease = 14%

Amount of gold after 4 years:

$a_4=1200(1-0.14)^3 = 763$

Initial number = 28000
Rate of increase = 2.5%

Salary after n years:

$a_n=28000(1+0.025)^{n-1} = 28000*1.025^{n-1}$

Salary in the 5th year:

$a_5=28000*1.025^4 = 30906.76$

Paha777 [63]3 years ago

3 0

Refer to the attachment

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Write the equation of the line that passes through the point (-3, 6) and is parallel to the line

Ugo [173]

Answer:

$\because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}$

5 0

3 years ago

Read 2 more answers

Felipe made sand art bottles to sell at his school's craft fair. He wanted to use 9 different colors of sand. So, he bought 1 po

Dennis_Churaev [7]

Answer: Felipe made 24 sand art bottles.

Step-by-step explanation:

Given: Total different colors of sand = 9

Weight of each color sand = 1 pound

Then, the weight of all 9 colors would be 9 × 1 = 9 pounds

Since 1 pound = 16 ounces

Then, 9 pounds = 9 × 16 = 144 ounces

capacity of each bottle = 6 ounce

Then, the number of bottles required = ( 144 ounces) ÷ 6

= 24

Hence, Felipe made 24 sand art bottles.

8 0

4 years ago

In a factory 80 workers were female and 120 male what was the percentage of female workers?

Elena L [17]

Answer: Percentage of female workers = 40%

Step-by-step explanation: No of Female workers = 80

No of Male workers = 120

Total No of workers = 120+80= 200

percentage of female workers =80 of 200%= 40

7 0

3 years ago

A city has a population of 310,000 people. Suppose that each year the population grows by 9%. What will the population be after

Leno4ka [110]

Answer: 644,800

Step-by-step explanation:

This can also be solved using the terms of Arithmetic Progressions.

Let the 13 years be number of terms of the sequences (n)

Therefore ;

T₁₃ = a + ( n - 1 )d , where a = 310,000 and d = 9% of 310,000

9% of 310,000 = 9/100 x 310,000

= 27,900

so the common difference (d)

d = 27,900

Now substitute for the values in the formula above and calculate

T₁₃ = 310,000 + ( 13 - 1 ) x 27,900

= 310,000 + 12 x 27,900

= 310,000 + 334,800

= 644,800.

The population after 13 years = 644,800.

3 0

3 years ago

Can you help me plss!

Ksivusya [100]

(1/3) × the cone's volume = The cylinder's volume.

Step-by-step explanation:

Step 1:

The volume of any cone is obtained by multiplying $\frac{1}{3}$ with π, the square of the radius ( $r^{2}$ ) and the height ( $h$ ).

So the volume of the cone, $V=\pi r^{2} \frac{h}{3}$ .

Step 2:

The cylinder's volume is nearly the same as the cone but instead by multiplying $\frac{1}{3}$ we multiply with 1.

So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder ( $r^{2}$ ) and the height of the cylinder ( $h$ ).

So the the cone's volume, $V = \pi r^{2} h$ .

Step 3:

Now we equate both the volumes to each other.

The cone's volume : The cylinder's volume = $\pi r^{2} \frac{h}{3}: \pi r^{2} h$ = $\frac{1}{3} : 1$ .

So if we multiply the cone's volume with $\frac{1}{3}$ we will get the cylinder's volume with the same dimensions.

5 0

3 years ago