Answer:
Step-by-step explanation:
percent increase = increase divided by original number x 100
increase is the difference between the two numbers...
new number - original number.....4000 - 2800 = 1200
percent increase = (1200 / 2800) x 100
= 0.42857 (round to .4286) x 100
= 42.86 %.....if you need it rounded to the nearest percent, it would be 43% increase
Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
An exponential behavior can be observed.
Let x be the number of years she has to wait.
100((1+0.08/12)^12x) = 150
Now solve for x.
log base 1.08/12 of 1.5 = 61.02 approx
12x=61.02
x=5.09 years
Jackets = 3
Shirt = 6
Ties = 8
Pants = 4
Number of combination = 3 x 6 x 8 x 4 = 576
Answer: There are 576 possible combinations.