Answer:
x = 24.48, y = -15.52, z = 3.95 to the nearest hundredth.
Step-by-step explanation:
x+y-z=5 (a)
-x-4y-8z=6 (b)
3x+5y-4z=-20 (c)
Adding equations a and b:
-3y - 9z = 11 (d)
Now multiply equation b by 3:
-3x - 12y - 24z = 18 (e)
Adding c and e:
-7y - 28z = -2 (f) Multiply by 3 to give (g)
-3y - 9z = 11 (b) Multiply by -7 to give (h)
-21y - 84z = -6 (g)
21y + 63z = -77 (h) Adding g and h:
-21z = - 83
z = 3.952
and y is found bt substituting in equation d:
-3y - 9(3.952) = 11
y = ( 11 + 9(3.952) / -3
= -15.52.
Now find x by substituting for y an z in equation a:
x - 15.52 - 3.952 = 5
x = 5 + 15.52 + 3.952
= 24.476.
Answer:
$199,047.62
Step-by-step explanation:
PV = X(1+i)^nm
X=$209000
i=5% = 0.05
n=1
m=1
Pv=$209000(1+0.05)^-1x1
Pv=$209000(1.05)^-1
Pv=$209000(1/1.05)
Pv=$209000/1.05
Pv=$199,047.62
$199,047.62 is needed to be donated for investment at 5.0% compounded annually rate for a year so as to get $209,000 at end of the year for the purpose of funding the scholarship.
Step-by-step explanation:
The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells. This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.
Answer:
4
Step-by-step explanation:

Answer:
710 oz
Step-by-step explanation: