<u>Answer</u>:
x = 7, y = 2
<u>Explanation</u>:
equations given:
x + 7y = 21
x + 4y = 15
make "x" the subject:
x + 7y = 21
x = 21 - 7y .........equation 1
x + 4y = 15
x = 15 - 4y .......equation 2
Solving both the equations simultaneously:
15 - 4y = 21 - 7y
-4y + 7y = 21 - 15
3y = 6
y = 6 ÷ 3
y = 2
If y is 2
Then x = 21 -7y;
x = 21 - 7(2)
x = 21 - 14
x = 7
Answer:
Step-by-step explanation:
Slope: -3
y-intercept: -2 (y-intercept is where a line cross the y-axis, vertical line)
Pencil on the y-intercept, three down and one to the right, then trace the line from -2 on the y-axis.
Answer:
6.517%
Step-by-step explanation:
This is a multi-year investment and we are not working with a $1 initial investment. There is no mention of compounding so we will use formula A=P0⋅(1+r)N with A=$18,434 and P0=$14,320. We do not know the value of r. However, N=4 years. Substituting the values we have $18,434=$14,320⋅(1+r)4. Divide both sides of the equation by $14,320. Next, take the fourth root of both sides of the equation and subtract 1 to find the decimal form of r.
$18,4341.287291.065170.06517=$14,320⋅(1+r)4=(1+r)4=1+r=r
Finally, convert r to a percent.
r=0.06517×100%=6.517%
Answer:
7-(a-2)
Step-by-step explanation:
volume cylinder
=3.14×2^2×5
=62.8 cubic inches
volume sphere
=4/3×3.14×2^3
=33.49
difference between cylinder and sphere
=62.8-33.49
=29.31 cubic sphere
