Answer:
(x,y)=(-13,-12)
Step-by-step explanation:
5x - 7y = 19
7x - 7y = -7 Multiply both sides of the equation by -1
Which then gives you :
5x-7y=19 Sum the equations vertically to eliminate
-7x+7y=7 at least on variable
-2x=26 Divide both sides of the equation by -2
X=-13 Substitute the given value of x into the equation 7x - 7y =-7
7 x(-13)-7y=-7 solve the equation for y
y=-12
Thus gives you (-13,-12)
Hope this was useful!!! Sorry if it's wrong.
The figure below shows the standard normal distribution or "bell-shaped" curve, plotted against the z-score.
The z-score is defined as
z = (x - μ)/σ
where
x = nrandom variable
μ = mean
σ = standard deviation.
As z-values decrease, areas to the left of z decrease as shown by the shaded area.
Answer:
Areas to the left of z decrease.
The annual interest rate is 20.4% which is a 20.4/12 = 1.7% monthly rate.
1.7% = 0.017
-------------------------------------------------
Month 1:
interest = 0.017*(current balance)
interest = 0.017*(1045.87)
interest = 17.77979
interest = 17.78
---------
principal = payment - interest
principal = 490 - 17.78
principal = 472.22
---------
new balance = (old balance) - principal
new balance = (1045.87) - 472.22
new balance = 573.65
at the end of month 1, the balance is $573.65
So far, you have paid $490
-------------------------------------------------
Month 2:
interest = 0.017*(current balance)
interest = 0.017*(573.65)
interest = 9.75205
interest = 9.75
---------
principal = payment - interest
principal = 490 - 9.75
principal = 480.25
---------
new balance = (old balance) - principal
new balance = (573.65) - 480.25
new balance = 93.40
At the end of month 2, the balance is $93.40
So far, you have paid 490+490 = 980 dollars
-------------------------------------------------
Month 3:
The current balance of $93.40 is less than $490, so we don't have to pay the full $490. We can simply pay off the remaining balance.
Add this to the current total paid amount so far to get 980+93.40 = 1,073.40
I'm not sure if I made a rounding error somewhere or if there is a typo. The closest answer choice I see is choice B. So I'm thinking the answer is choice B. I'd get a second opinion or ask the teacher on this one.
<u>answer</u>:
2x²+2x-12
<u>explanation:</u>
(x + 3) (2x – 4) [ open the bracket ]
x(2x) -4(x) +3(2x)+ 3(-4) [ multiplication ]
2x²-4x+6x-12 [ simplify ]
2x²+2x-12 [ final answer ]
Answer:
Step-by-step explanation:
New price = (1 + 5%) x old price
New price = 1.05 x old price
old price = 2.3 / 1.05
Old price = £2.19