Multiply the first equation by 2 to then use elimination by adding the 2 equations.
So, 14x-2y=14
+. x+2y=6
Equals 15x=20 so x=20/15=4/3
Plug in to first equation to get y
7(4/3)-y=7
28/3-y=7
28/3-y=21/3
So y=7/3
Plug both x and y into second equation to check
4/3+2(7/3)=
4/3+14/3=18/3=6 it works
So x=4/3, y=7/3
Hope this helps! Have a blessed day!
Answer:
The percent markup is, 60.89 % .
Step-by-step explanation:
A pair of shoes cost $ 22.99 to make, the local store sells them for $ 36.99.
So, the increased value for each pair of shoes,
= $ (36.99 - 22.99)
=$ 14
So, the percent markup is,
%
60.89 %
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.
If you sketch the triangle you will see it is a right triangle with B being the vertex for the right angle. the orthocenter is the intercept of the three altitudes. for a right triangle, the orthocenter is the vertex where the right angle is.so the answer for this question is (-4,5)
Answer:
494 cubic meteres
Step-by-step explanation:
formula: lwh/3
(12 x 13 x 9 1/2) divided by 3= 4 x 13 x 19/2 = 52 x 19/2 = 26 x 19 = 494cubic metres