Answer:
Step-by-step explanation:
Given piecewise function is,
f(x) = -5x + 2 If x < 2
2x - 2 If x ≥ 2
For f(x) = -5x + 2 If x < 2,
Graph of this piece will be a straight line with slope = -5 and y-intercept = 2
For f(x) = 2x - 2 If x ≥ 2,
Similarly, Graph of the second piece of the function will be a straight line with slope = 2 and y-intercept = -2.
By using the graphing tool we can draw the graph of the piecewise function given.
Answer:
Yes, she should.
Step-by-step explanation:
5% may not seem like a lot. Lets say she deposits $20 per month. That's $240 a year. Lets also say you keep this for 6 years, you'll have $72 from interest. The more amount she puts in the more she'll gain.
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 240 × 0.05 × 6 = 72
I = $ 72.00
The simple interest accumulated
on a principal of $ 240.00
at a rate of 5% per year
for 6 years is $ 72.00.
10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of 10 % saline solution.
Step-by-step explanation:
Let x be the number of liters of 60% saline solution
Now we require 10 L of 30% saline solution.
Liter soln % liters saline %
30 % 10 0.3
60 % x 0.6
10 % 10-x 0.1
Now forming the algebraic equation,
0.6x + 0.1 (10-x) = 10 (0.3)
0.6x + 1 - 0.1 x = 3
0.5 x = 2
x = 4 ( 4 l of 60 % solution is required. So 10 % saline solution required is 10 - 4 = 6 L).
Hence, 10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of 10 % saline solution.
