multiply all numbers together:
3*6*4*3 = 216 combinations
Answer:
1/4 / 3 = 1/12
1/4 * 3/1 does not equal 12
It equals 3/4
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
multiply the total cost by the discount
500*.45=225
276
552*.5=226
540*.48=259.2
leaving option a at the lowest price, $225
Let amount invested at 8% per year = x
Let amount invested at 14% per year = y
Total investment is $94000 then we get equation:
x+y=94000
or
x=94000-y...(i)
Given that total return in 1 year is $8720 so we can write equation:
8% of x + 14% of y = 8720
or
0.08x+0.14y=8720...(ii)
plug (i) into (ii)
0.08(94000-y)+0.14y=8720
7520-0.08y+0.14y=8720
7520+0.06y=8720
0.06y=8720-7520
0.06y=1200
y=20000
plug value of y into (i)
x=94000-y=94000-20000=74000
Hence final answer is given by:
Amount invested at 8% per year = $74000
Amount invested at 14% per year = $20000
The order of the letters is very important when we explain the congruence of two triangles.
<span>Triangle DEF is congruent to right triangle GHI means that the following pairs of angles are congruent:
{D, G}, {E, H}, and {F, I}, according to the order of the letters. Thus, in triangle DEF, E is a right angle.
This means that the line segments </span>
and
are perpendicular.
As we know that the product of the slopes of 2 perpendicular lines (or line segments) is -1, and since the slope of the side DE is -2, then the slope of the side EF must be -1/(-2)=1/2.
Since the sides EF and HI are congruent according to our discussion above, then, the slope of the side HI is also 1/2.
Answer: A and B