Answer:
<h2>The value of a is

.</h2>
Step-by-step explanation:
At the time of purchase, the value of the antique is $200.
After one year the value will increase 10%.
Hence, after one year, the value of the antique will be
= 220.
Similarly, after two year, the value will be
.
Thus, 222 years after purchase, the value of the antique will be
.
Marcario should use 4 pounds of macadamia nuts and 8 pounds of almonds.
Explanation
given
cost of macadamia nuts per pound=$9
cost of almond nuts per pound=$5.25
cost of the mixture per pound=$6.5
total pounds of the mixture to be made=12
let the pounds of macadamia nuts=x
pounds of almond nuts=y
total pounds of nuts=x+y=12

solving (1) and (2)
x=4
y=8
We basically have to cancel values on both sides until they are both on common ground.
7 + 3x = 5x + 13
-7 from both sides...
3x = 5x + 6
-5x from both sides...
-2x = 6
/-2 from both sides...
x = -3
Hope this helps!
X = 3
5(3) - 2 = 13
3(3) + 4 = 13