Answer:
<em>The values are a=6, b=8</em>
Step-by-step explanation:
The following system of equations
ax - by = 4
bx - ay = 10
Has the solution x=2, y=1. Substituting:
2a - b = 4 [1]
2b - a = 10 [2]
Multiply [1] by 2:
4a - 2b = 8
Add with [2]:
3a = 18
a = 18/3 = 6
a = 6
From [1]:
2*6 - b = 4
b = 12 - 4
b = 8
The values are a=6, b=8
Yes, because you can multiply<span> the numbers. Example: </span>Use commutative property <span>of </span>multiplication<span> to rewrite </span>5 x 4 5 x 4<span> Answer: </span>4<span> x </span>5<span>. </span>
Answer:
i believe the answer is b
Step-by-step explanation:
Answer:
x = 39
Step-by-step explanation:
The opposite angles of a parallelogram are congruent, so
3x - 15 = 2x + 24 ( subtract 2x from both sides )
x - 15 = 24 ( add 15 to both sides )
x = 39
So, to set up your equation is the hardest part. If you remember the basic format, you're set.
I(t) = P * (1+r%)^t
t= time and this will be our variable
Initial amount P = $2740
Rate = 4.3% which converts numerically into .043
I(t) = 7000
Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.
I(t) = $2740(1+4.3%)^t
I(t)=2740(1.043)^t
Now plug in for $7000 for I(t)
7000=2740(1.043)^t Divide both sides by 2740
7000/2740 = 2740/2740(1.043)^t
2.55474453=(1.043)^t
Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.
In your calculator you can set up:
ln(2.55474453)/ln(1.043) = t which is the method I prefer since it's much simpler
t=22.278528
but you can also graph it in your ti-84
with
y1=2.55474453
y2=(1.043)^x
and find where they intersect on the graph.
either way it'll be the same answer
