I believe it is -8 since the point where the line is x=80 and y=-10. Then you divide x/y (80/-10) and get -8.
Answer:
$1,061.76
Step-by-step explanation:
(refer to attached handout)
For compound interest, you are given:
A = ? (need to find)
P = $1000
r = 3% = 0.03
n = compounded monthly = 12 times per year
t = 2 years
(substituting this into the formula)
A = P [ 1 + (r/n) ] ^(nt)
A = 1000 [ 1 + (0.03/12) ] ^[(12)(2)]
A = 1000 [ 1 + 0.0025 ] ^24
A = 1000 [ 1.0025 ] ^24
A = 1,061.76
Step-by-step explanation:
the solutions for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = k
x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)
x1 = 2 + sqrt(4 - k)
x2 = 2 - sqrt (4 - k)
x1 = 2 + x2
2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)
2×sqrt(4 - k) = 2
sqrt(4 - k) = 1
4 - k = 1
k = 4 - 1 = 3
x1 = 3
x2 = 1
Answer:
17 cows and 6 geese
Step-by-step explanation:
1. set up two equations:
C + G = 23 (number of cows and geese = total number of animals)
4C + 2G = 80 (cows have 4 legs, geese have 2 legs and the total # of legs is 80)
2. 2(C+G)=2(23) ===> 2C + 2G = 46
3. subtract 4C + 2G = 80 and 2C + 2G = 46 to equal 2C=34, divide by 2 and C=17 (17 cows)
4. apply 17 back to the original (C + G = 23) equation to get: 17 + G = 23, subtract 17 from 23 and G=6 (6 geese)
i hope the way i explained it was clear! :)
