Answer:
The answer in simplified form would be 6x+12y.
Step-by-step explanation:
If the interest is the same for both accounts then:
.03x=.05(16000-x)
.03x=800-.05x
.08x=800
x=10000, since the interest is the same for both we can just double the interest from one investment to find the total interest earned each year...
.03(10000)2=$600.00
Answer:
a = 2, b = -9, c = 3
Step-by-step explanation:
Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:
(-1,14)
14 = a*(-1)^2 + b*(-1) + c
(2,-7)
-7 = a*2^2 + b*2 + c
(5, 8)
8 = a*5^2 + b*5 + c
Rearranging:
a - b + c = 14
4*a + 2*b + c = -7
25*a + 5*b + c = 8
This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:
A =
1 -1 1
4 2 1
25 5 1
x =
a
b
c
b =
14
-7
8
Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:
inv(A) =
0.055555556 -0.111111111 0.055555556
-0.388888889 0.444444444 -0.055555556
0.555555556 0.555555556 -0.111111111
inv(A)*b
2
-9
3
So, a = 2, b = -9, c = 3
1. One Solution: Slopes:1 and -1 y-ints:1 and 2
2. Many: Slopes:1 and 1 y-ints:1 and 1
3. Undefined: Slopes:1 and 1 y-ints:1 and 2
Hope Your Thanksgiving Goes Well, Here's A Turkey
-TheKoolKid1O1
Answer:
In three years can be into algebraic terms as: 3 + x. Where 'x' comes to be today's age.
For example, my age in three years will be:
If I'm 24 years right now, My age in three years = 3 + x ⇒ My age in three years = 3 + 24 = 27.
