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2 years ago

6

In the year 2001, a company made $7.2 million in profit. For each consecutive year after that, their profit increased by 11%. Ho

w much would the company's profit be in
the year 2005, to the nearest tenth of a million dollars?

1 answer:

Oksi-84 [34.3K]2 years ago

5 0

Answer:

Who cares

Step-by-step explanation:

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Polygon ABCD is translated to create polygon A'B'C'D'. Point A is located at (1,5) os located at (-2,1). What is the distance fr

Sergio039 [100]

Answer:

The distance from B to B' is 5 units

Step-by-step explanation:

The complete question is

Polygon ABCD is translated to create polygon A'B'C'D'. Point A is located at (1,5) and point A' is located at (-2,1). What is the distance from B to B'?

we know that

In a translation the figure maintains its dimensions and internal angles

so

AA'=BB'=CC'=DD'

The distance BB' is the same that the distance AA'

<em>Find the distance AA'</em>

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(1,5),A'(-2,1)

substitute in the formula

$AA'=\sqrt{(1-5)^{2}+(-2-1)^{2}}$

$AA'=\sqrt{(-4)^{2}+(-3)^{2}}$

$AA'=\sqrt{25}$

$AA'=5\ units$

therefore

The distance from B to B' is 5 units

3 0

3 years ago

Timothy is filling fish bowls with pebbles at his fish store. He wants to have $\frac{1}{6}$ of a pound of pebbles in each fish

Luba_88 [7]

Answer:

14

Step-by-step explanation:

Given that:

Each fish bowl to have pebbles of weight equivalent to = $\frac{1}{6}$

Total pounds of pebbles that Timothy can use = $2\frac{1}{3}$

To find:

The greatest value of Total number of fish bowls that Timothy can fill ?

Solution:

First of all, we need to convert mixed fraction into a fractional number and then we also need to see division of two fractions.

Formula:

$1. \ p\dfrac{q}{r} = \dfrac{p\times r+q}{r}\\2. \ \dfrac{\frac{a}{b}}{\frac{c}d}=\dfrac{a\times d}{b\times c}$

Now, the given mixed fraction can be converted to fractional number as:

$2\dfrac{1}{3} = \dfrac{2\times 3+1}{3} = \dfrac{7}{3}$

Now, To find the total number of fish bowls that can be filled, we need to divide the total number of pounds with number of pounds of pebbles in each fish bowl.

So, the answer is:

$\dfrac{\frac{7}{3}}{\frac{1}{6}}\\\Rightarrow \dfrac{7\times 6}{3\times 1}\\\Rightarrow \dfrac{42}{3}\\\Rightarrow \bold{14}$

<em>14</em> number of fish bowls can be filled.

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