Answer:
Step-by-step explanation:
we have
solve for x
Multiply in cross
Divide by 7 both sides
Adds 1 both sides
Rewrite
Answer:
m(JCA)
Step-by-step explanation:
C is the central angle here (the one in between)
so it will be m(JCA) or m(ACJ)
Given:
Percent Amount $
Fund A 3% $4000
Fund B 1% x
Total Funds 8% $4000 + x
Find:
Fund B Investment
Solution:
$4000 * .03 + .10 * x = .08% ($4000 + x)
We already know 3 rates and one amount invested
$4000 * .03 + .10 * x = .08% ($4000 + x)
Multiply them out:
120 + (0.10 * x) = 320 + 0.08x
Now, we combine like terms.
.10x – 0.08x = 320 – 120
.02x = 200
Isolate x
x = 200 / 0.02
Divide
x = $10,000
Checking:
($4000 * .03) + (.10 * 10,000) = .08% ($4000 + 10,000)
120 + 1000 = 320 + 800
1120 = 1120
Therefore, fund B has an investment of $10,000.
Answer:
x = -2
Step-by-step explanation:
x^2 - 3x - 10 when we factorize equals
(x + 2) (x - 5)
3x^2 + 5x - 2 when we factorize equals
(3x - 1) (x + 2)
x + 2 is the common term and when we put the 2 on the other side of the equation we get x = -2
Answer:
Step-by-step explanation:
hello :
a)
let f(x) = y so : x = g(y)
in expression = f(x) =3x+12
means : y = 3x +12 calculate : x
3x = y -12
x = (1/3)y - 4
the inverse is : g(x) = (1/3)x - 4
b)f(g(-2) = f(-14/3)
because: g(-2) = (1/3)(-2)-4 = -2/3-4 = -14/3
so : f(g(-2) = f(-14/3)=3(-14/3)+12 = - 2
