Answer:
2 real solutions
Step-by-step explanation:
y = -x^2 + 3x + 5
First find the the discriminant:
using b² - 4(a)(b)
(3)²- 4(-1)(5)
=9+20
=29
since the discriminant is more than 0, there are 2 real solutions
2/3x4 =8/12
3/4x3 =9/12
8/12+9/12=17/12
17/12=1 5/12
1+2+1 5/12 = 4 5/12
Answer:
(10,0), (0,5), (1,2)
Step-by-step explanation:
Equation: 450 = 128 + 150 + n
work:
1st step:
128+150 = 278
2nd step:
450-278 = 172
answer: 172
3rd step (checking) :
450 = 128 + 150 + 172
450 = 278 + 172
450 = 450
Answer:
Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Step-by-step explanation:
Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:
1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125
1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128
1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131
Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%
