MATHEMATICS HIGH SCHOOL

The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms.How long will it take for the population of the bacteria to reach 800?

Round your answer to the nearest tenth of an hour.

Answers

Answer 1
Answer:

Answer:

16.3h

Step-by-step explanation:

population 2x in 24 h

going from 500 to 800 is less than double so ans is <24h

solving t:  2^(t/24)=800/500

t/24=ln(8/5)/ln2

t=24*ln(8/5)/ln2

=16.3

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A new car is purchased for 15500 dollars. The value of the car depreciates at 7.5% per year. What will the value of the car be, to the nearest cent, after 6 years?

Jeremy opens a chocolate shop in the city. He pays $1,500 a month for rent and maintenance of the shop. The price of raw materials and manufacturing the chocolates is $6,000 a month. He sells the chocolates individually and in boxes of a dozen. Jeremy understands that his business needs a little time to become a success and decides that he wants to build a customer base initially. He is happy to break even for the first year. If Jeremy sells 2,400 individual chocolates and 50 boxes a month, how should he price his chocolates to break even, given the costs? (Assume that the price of a box is the same as the price of 12 individual chocolates.)

Answers

Amount of money paid by Jeremy as rent and maintenance of shop per month = $1500
Cost of raw materials and manufacturing per month = $6000
Total cost that Jeremy has to spend per month = (1500 + 6000) dollars
                                                                            = 7500 dollars
Number of individual chocolates sold = 2400
Number of chocolates sold in boxes = 50 boxes
                                                           = (12 * 50) chocolates
                                                           = 600 chocolates
Then
Total number of chocolates sold by Jeremy = 2400 + 600
                                                                       = 3000
Now
Price of each chocolate = 7500/3000 dollars
                                       = 75/30 dollars
                                       = 5/2 dollars
                                       = 2.5 dollars
Price of 600 chocolates = 600 * (5/2) dollars
                                       = 300 * 5 dollars
                                       = 1500 dollars
Price of 12 chocolates = (1500/600) * 12
                                     = 15 * 2
                                     = 30 dollars
Then
We can say that each box of chocolate should be sold at $30. All the loose chocolates should be sold at $2.5 each.

Answer:

For those on Plato and it ask about how many boxes

Step-by-step explanation:

D) 232 boxes

#PlatoLivesMatter

At a sale, Janet bought a $40 blouse for $25. Find the discount rate.

Answers

Answer:

37.5%

Step-by-step explanation:

40-x%*40=25

x%40=15

x%=15/40=37.5%

PLEASE HELP ! ALGABRA 1

Answers

Answer: No solutions (C)

Explanation: The two lines have the same slope but different Y intercept this means they will increase/decrease at the same rate but since they start at different locations on a graph, they will never touch making it parallel

We did not recieve a diagram for this question.Radius of circle O has a slope of 2.5. What is the slope of the line tangent to circle O at point A?

A)0.8
B)2.5
C)-0.4
D)-5

Answers

If the line is tangent to circle at point A and the radius ( suppose AO) has a slope of 2.5 then a slope of the tangent line is :
(-1)/(2.5)= -0.4
Explanation: The product of slopes of two perpendicular lines is -1. To get second slope we have to divide -1 by the first one.
Answer:C) - 0.4

Raphael graphed the functions g (x)=x+2 and f (x)= x-1. how many units below the y-intercept of g (x) is the y-intercept of f (x)? the y-intercept of f (x) is ____ units below the y-intercept of g (x)

Answers

In our equations, you can use the generic form of y = mx + b to determine the y-intercept for the function, with b equal to the y-intercept. For g(x), b =2 and for f(x), b=-1. These values are the y-intercepts for the functions. Based on this, the y-intercept of f(x) is 3 units below the y-intercept of g(x). We know this because we can subtract the b value from f(x) from g(x) to get the difference. Difference = 2 - (-1) = 3.

Answer:

(D) 3

Step-by-step explanation:

I just took the test.

Your welcome and don't forget to press that THANKS button!

Suppose you have $75 in your savings account and you save an additional $5 each week. Your friend has $30 in his savings account and saves an additional $10per week. In how many weeks will you have the same amount of money?

Answers

it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.

To determine the number of weeks it takes for both you and your friend to have the same amount of money in your savings accounts, we need to set up an equation.

Let's denote the number of weeks as 'x'. For you, the amount of money in your savings account after 'x' weeks can be calculated as follows:

Amount of money in your account = $75 + $5x

For your friend, the amount of money in his savings account after 'x' weeks can be calculated as:

Amount of money in your friend's account = $30 + $10x

To find the number of weeks where you both have the same amount of money, we set up the equation:

$75 + $5x = $30 + $10x

Simplifying the equation:

$5x - $10x = $30 - $75

-$5x = -$45

Dividing both sides of the equation by -5 gives us:

x = 9

Therefore, it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.

Learn more about amount here

brainly.com/question/16122476

#SPJ2

Answer:

9 weeks

Step-by-step explanation:

5x+75=10x+30

-5x        -5x

75=5x+30

-30      -30

45=5x

÷5    ÷5

9=x

x=9
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