Answer:
y = 3/2
, x = 3/2
Step-by-step explanation:
Solve the following system:
{x + y = 3 | (equation 1)
10 x = 15 | (equation 2)
Divide equation 2 by 5:
{y + x = 3 | (equation 1)
0 y+2 x = 3 | (equation 2)
Divide equation 2 by 2:
{y + x = 3 | (equation 1)
0 y+x = 3/2 | (equation 2)
Subtract equation 2 from equation 1:
{y+0 x = 3/2 | (equation 1)
0 y+x = 3/2 | (equation 2)
Collect results:
Answer: {y = 3/2
, x = 3/2
Answer: y is 40 x is 60
Step-by-step explanation:
For the answer to the question above,
1 + nx + [n(n-1)/(2-factorial)](x)^2 + [n(n-1)(n-2)/3-factorial] (x)^3
<span>1 + nx + [n(n-1)/(2 x 1)](x)^2 + [n(n-1)(n-2)/3 x 2 x 1] (x)^3 </span>
<span>1 + nx + [n(n-1)/2](x)^2 + [n(n-1)(n-2)/6] (x)^3 </span>
<span>1 + 9x + 36x^2 + 84x^3 </span>
<span>In my experience, up to the x^3 is often adequate to approximate a route. </span>
<span>(1+x) = 0.98 </span>
<span>x = 0.98 - 1 = -0.02 </span>
<span>Substituting: </span>
<span>1 + 9(-0.02) + 36(-0.02)^2 + 84(-0.02)^3 </span>
<span>approximation = 0.834 </span>
<span>Checking the real value in your calculator: </span>
<span>(0.98)^9 = 0.834 </span>
<span>So you have approximated correctly. </span>
<span>If you want to know how accurate your approximation is, write out the result of each in full: </span>
<span>1 + 9(-0.02) + 36(-0.02)^2 + 84(-0.02)^3 = 0.833728 </span>
<span> (0.98)^9 = 0.8337477621 </span>
<span>So it is correct to 4</span>
(3x-4)(3x-4) is the answer because when something is squared, it's just multiplying itself by itself, this also applies to expressions.
Answer:
1.60 (rounded)
Step-by-step explanation:
I haven't done this in a while but you'd use the compound interest formula a=p(1+r)^n where a=8300 p=5000 r=0.075 and solve for n
