If the population of a particular country is growing at 1.6% compounded continuously, how long will it take the population to triple? The population will triple in ______ years if it is growing at 1.6% compounded continuously. (Round up to the nearest year.)

Answers

Answer 1

Answer: $e ^(0.016t)=3 / * log _(e) \n log _(e) e^(0.016t)=log _(e) 3 \n 0.016t=log _(e) 3$
0.016 t = 1.0986
t = 1.0986 : 0.016
t = 68.66 ≈ 69
The population will triple in 69years if it is growing at 1.6 % compounded continuously.

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The width of a rectangle is two-thirds of its length, and its area is 216 square meters. What is the length? is it 27 or 12

Answers

Answer:

The length of rectangle =18 m.

Step-by-step explanation:

Suppose of length of rectangle=x

Width of rectangle = $(2)/(3)x$

Area of rectangle = $216 m^2$

We have to find the length of rectangle .

Area of rectangle = $length* breadth$

Substitute the values in the given formula

$216=x* (2)/(3)x$

$216=(2)/(3)x^2$

$2x^2=216* 3$ By multiplication property of equality

$x^2=(216* 3)/(2)$ ( by division property of equality )

$x=√(324)=18$

Substitute the value then we get

Width of rectangle = $(2)/(3)* 18=12 m$

Hence, the length of rectangle =18 m.

E-Z View cable company charges a flat rate of $40 per month for service and $4.95 for each pay per view movie. View the Best charges a flat rate of $25 per month and $5.95 for each pay per view. Using the given equations, how many pay per views will generate equal monthly bills from the two companies?

Answers

E-Z View: 40 + 4.95x
View the best: 25 + 5.95x

Equal monthly bills:

40 + 4.95x = 25 + 5.95x

5.95x - 4.95x = 40 - 25

x = 15

Answer: 15

Final answer:

The number of pay-per-view movies that would generate an equal monthly bill from both E-Z View cable company and View the Best company is 15 movies. This is found by setting up and solving a linear equation based on the monthly charges of each company.

Explanation:

This question is about using linear equations to solve a real-world problem. Let's say 'x' is the number of pay-per-view movies. Therefore, we can form two equations:

E-Z View cable company: 40 + 4.95x = monthly cost
View the Best company: 25 + 5.95x = monthly cost.

To find the number of pay-per-view movies that would make the two monthly costs equal, set the two equations equal to each other and solve for x.

40 + 4.95x = 25 + 5.95x
Subtract 4.95x from both sides: 15 = 1x
So, '15' pay-per-view movies would generate equal monthly bills from the two companies.

Learn more about Linear Equations here:

brainly.com/question/32634451

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Bradley is in a class of 15 boys and 10 girls. 40% of the class takes the bus to school. How many students do not take the bus to school?

Answers

Answer:

30 Students

Step-by-step explanation:

As given

Bill is in a class of 15 boys and 35 girls.

Total number of students in the class = Number of boys + Number of girls

= 15 + 35

= 50

As given

40% of the students in the class take the bus to school.

40% is written in the decimal form.

= 0.40

Number of students take bus to school = 0.40 × Total students in class.

= 0.40 × 50

= 20

.Thus

Students not take bus to school = Total students - Number of students take bus to school

= 50 - 20

= 30

Therefore 30 students not take bus to school .

Answer:

15 students

Step-by-step explanation:

First of we have to calculate how many students there are in the class. There are 15 boys and 10 girls, whish means there are 25 people in total (15+10=25).

Since 40% takes the bus to school, 60% of the sudents do not take the bus to school. The easiest way to calculate how many students is 60% is to first divide the students with 10. 25/10 is 2.5. 2.5 students is 10% of 25 students (100% divided by 10 is 10%).

To get 60%, the number of students has to be multiplied with 6, because 10% times 6 is 60%.

2.5 (10%) times 6 is 15, so the answer is 15.

Farmer John looks out on his farm. One pen has chickens and pigs. John counted 12 heads and 34 legs. How many of each animal did he see? EXPLAIN your reasoning. I DO WANT YOU TO EXPLAIN AND ANSWER QUICKLY PLEASE

Answers

34 legs and 12 heads

Chicken has 2 legs and Pig has 4 legs, both got one head

7 chicken heads, 7 x 2= 14 chicken legs

5 pig heads, 5 x 4= 20 pig legs

7 chicken heads + 5 pig heads = 12 heads

14 chicken legs + 20 pig legs = 34 legs

Answer: He saw 7 chickens and 5 pigs

A coin is loaded so that the probability of getting heads is 3/4. If the coin is flipped twice, what is the probability of getting heads twice?

Answers

The probability would be 9/16.
HOPE THIS HELPS! ^_^

the probability of the coin getting heads twice is 2/4

The number 7.325 rounded off to three significant figures is .

Answers

Answer would be 7.33 Since the last digit 5 is rounded up

the answer is 7.33, qwq hope it helps uwu

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Ray is late for work, but would like to drink some coffee before he leaves. The coffee in the pot is too hot, so Ray puts 20 small ice cubes in a mug before pouring in the coffee. The ice cubes measure 1 cm per side. The mug is cylindrical, and has a height of 9 cm and a base of 7 cm. What is volume of the coffee that will fill the mug after the ice cubes have been added (round to the nearest whole number)?A) 113 cm3. Eliminate B) 326 cm3. C) 346 cm3. D) 424 cm3.