Answer:
1)1/3
2)3
Step-by-step explanation:
rise over run then reduce
Answer:
$1,109.62
Step-by-step explanation:
Let's first compute the <em>future value FV.</em>
In order to see the rule of formation, let's see the value (in $) for the first few years
<u>End of year 0</u>
1,000
<u>End of year 1(capital + interest + new deposit)</u>
1,000*(1.09)+10
<u>End of year 2 (capital + interest + new deposit)</u>
(1,000*(1.09)+10)*1.09 +10 =

<u>End of year 3 (capital + interest + new deposit)</u>

and we can see that at the end of year 50, the future value is

The sum

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

and the future value is then

The <em>present value PV</em> is

rounded to the nearest hundredth.
Answer: There are approximately 8 restaurants that have hawaiian pizzas on their menus.
Step-by-step explanation:
Total number of pizzas restaurants in Gotham = 100
Percent of pizza orders in Gotham are for hawaiian pizzas = 7.5
Number of Gotham restaurants that have hawaiian pizzas on their menus is given by

So, there are approximately 8 restaurants in Gotham that have hawaiian pizzas on their menus.
For this case we have that by definition, if we draw the diagonal of a square two rectangular triangles are formed. If the diagonal measures "x", then the Pythagorean theorem is fulfilled:

Where:
l: It's the side of the square.

We know that the area of a square is given by:

So, the area is:

Answer:

5. the first equation gives you the value of y. So plug in the value of y into the second equation:
3x+2(-x-7)=3.
Simplify: 3x-2x-14=3.
Subtract: 1x-14=3.
Add 14 to both sides: x=17.
Now you know the x value.
You plug in the x value into the first equation: y=-17-7
Solve: y=-24
Answer: 17, -24