slope = (y2-y1)/((x2-x1)
= (-4-2)/(1-(-1))
= (-6/2)
m = -3
point slope form
y-y1 = m(x-x1)
y-2 = -3(x-(-1))
y-2 =-3(x+1)
y-2 = -3x-3
y= -3x-3+2
y=-3x-1
Choice B
The required it will take 10 years to earn $500 in interest. Option C is correct.
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
SI= Principal×rate×time]
Here,
The formula for simple interest is:
I = Prt
We know that the principal (P) is $2,000, the interest rate (r) is 2.5% or 0.025 as a decimal, and we want to find the time (t) it takes to earn $500 in interest.
Substituting these values into the formula, we get:
$500 = 2,000 * 0.025 * t
$500 = 50t
t = 500 / 50 = 10 years
Therefore, it will take 10 years to earn $500 in interest.
Learn more about simple interests here:
#SPJ6
m YZ = m ZW
Prove: m XZ = m ZV
Answer:
Step-by-step explanation:
m ∠XOY = m ∠WOV
so, m XY = m WV --- (i)
{ If angle subtended by two arcs at the center are equal, then length of arc are equal}
m YZ = m ZW ------- (ii) {given}
Add (i) and (ii)
XY + YZ = WV + ZW
XZ = ZV
Hence proved.
Answer:
Given that m ∠XOY = m ∠WOV then m XY = m WV, because central angles are equal to arcs.
Given: m YZ = m ZW
The addition of arcs XY and YZ make arc XZ, that is: m XY + m YZ = m XZ
The addition of arcs ZW and WV make arc XZ, that is: m WV + m ZW = m ZV
Then, m XZ = m ZV
x-4y=5
x=3y-2
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