Evaluate the following

The coordinate bridge shows the cost of different numbers of bookmarks how many sense do for bookmarks cost.

pogonyaev

Answer:

54 cents

Step-by-step explanation:

The cost of bookmarks relating to the number of bookmarks is given by the graph shown. Therefore:

From the graph, we can determine the relationship between the cost of bookmarks and the number of bookmarks by using two points. The equation of a line passing through points $(x_1,y_1)\ and\ (x_2,y_2)$ is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\$

From the graph, y represents the cost of bookmarks in cents and x represent the number of bookmarks. we can see that it passes through the point (2, 30) and (7, 90). Hence:

$y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2) \\\\y-30=12x-24\\\\y=12x+6$

The cost of 4 bookmarks (x = 4):

y = 12(4) + 6

y = 54 cents

7 0

3 years ago

In the year 2003 a company made 8.8 million in profits. For each consecutive year after that their profits increased by 6%. How

yaroslaw [1]

Answer:

The company's profit in 2007 was 11.088 millions

Step-by-step explanation:

This is a compound interest problem where the initial amount is 8.8 million, the interest rate is 6% and the time period is 4 years and it gets compounded yearly. So we can use the compound interest formula, that is given by:

A = P*(1 + r/n)^(n*t)

Where A is the final amount, P is the initial amount, r is the rate, t is the total amount of time and n is the number of times it gets compounded in one year. We can now use all the values that were given to us to find out the profit of the company.

A = 8.8*(1 + (0.06))^(4) = 8.8*(1.06)^16

A = 8.8*1.26 = 11.088 millions

So the company's profit in 2007 was 11.088 millions

6 0

4 years ago

What is the product of (3y^-4)(sy^-4)?

GrogVix [38]

Answer:

A;dkf

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

a pack rat has 130 piglets and 110 books. She wants to maintain this ratio in her collection but needs to sell some of her items

bija089 [108]

The number of items she should sell from her collection is 24

<h3>How to determine the number of items she should sell from her collection?</h3>

From the question, we have the following parameters that can be used in our computation:

Ratio = Piglets : Books

For 130 piglets and 110 books, we have the following representations

Ratio = 130 : 110

Also, for 13 piglets, we have the following representations

Ratio = 13 : Books

Using the above as a guide, we have the following:

13 : Books = 130 : 110

This can also be rewritten as

Books : 13 = 110 : 130

Multiply the second ratio by 1/10

So. we have

Books : 13 = 11 : 13

By comparison, we have

Books = 11

So, the total items sold is

Items = 11 books + 13 piglets

Evaluate

Items = 24 items

Hence, the number of items is 24