Is it definition of Congruence?
9514 1404 393
Answer:
A = 500
B = 1.04
49.6 years
Step-by-step explanation:
We assume your 'A' and 'B' refer to parameters in an exponential formula of the form ...
y = A·B^x
In this form, A is the initial investment value, $500. B is the growth factor, 1+4% = 1.04, assuming interest is compounded annually. We want to find x such that y=$3500.
3500 = 500·1.04^x . . . . . fill in known values
7 = 1.04^x . . . . . . . . . . . . . divide by 500
log(7) = x·log(1.04) . . . . . . take logarithms
x = log(7)/log(1.04) ≈ 49.61 . . . . divide by the coefficient of x
It will take about 49.6 years for there to be $3500 in Mrs. Williams's account.
I hope this helps you
x^2-5x-36=0
x -9
x +4
(x-9)(x+4)=0
x-9=0
x=9
Answer:
C
Step-by-step explanation:
Since we have a point and a slope, we can use the point slope formula.
The point slope formula is:
where m is the slope, and (x1, y1) is the point given.
We know that the slope is -3, and the point given is (10, -1)
Therefore, our m is -3, x1 is 10, and y1 is -1.
y- -1 = -3(x-10)
y--1 is the same as y+1
y+1= -3(x-10)
Therefore, choice C is correct.
These questions are all about the wording.
2-x=5(x+14)
Let's solve your equation step-by-step.
<span><span>2−x</span>=<span>5<span>(<span>x+14</span>)
</span></span></span>Step 1: Simplify both sides of the equation.
<span><span>2−x</span>=<span>5<span>(<span>x+14</span>)
</span></span></span><span>Simplify:
</span><span><span><span>−x</span>+2</span>=<span><span>5x</span>+70
</span></span>Step 2: Subtract 5x from both sides.
<span><span><span><span>−x</span>+2</span>−<span>5x</span></span>=<span><span><span>5x</span>+70</span>−<span>5x
</span></span></span><span><span><span>−<span>6x</span></span>+2</span>=70
</span>Step 3: Subtract 2 from both sides.
<span><span><span><span>−<span>6x</span></span>+2</span>−2</span>=<span>70−2
</span></span><span><span>−<span>6x</span></span>=68
</span>Step 4: Divide both sides by -6.
<span><span><span>−<span>6x/</span></span><span>−6</span></span>=<span>68/<span>−6
</span></span></span><span>x=<span><span>−34/</span>3
</span></span>Answer:
<span>x=<span><span>−34/</span><span>3</span></span></span>
