Answer:
(x1, y1) = (3, 1)
(x2, y2) = (2,4)
the slope is
m= y2−y1/x2−x1 = 4-1/2-3 = 3/-1 = <u>-3</u>
Solve your equation step-by-step.
3(x+1)=−2(x−1)−4
Simplify both sides of the equation.
3(x+1)=−2(x−1)−4
Simplify:
3x+3=−2x−2
Add 2x to both sides.
3x+3+2x=−2x−2+2x
5x+3=−2
Subtract 3 from both sides.
5x+3−3=−2−3
5x=−5
Divide both sides by 5.
5x/5 = −5/5
x=−1
We know that the total number of students is 180, so 180 is the 100 precent of the students, now we can set up a proportion and solve
180/100=135/x
x=135 times 100 over 180
x=75%
Answer:
Jody
Step-by-step explanation:
You can either convert 500 seconds to minutes or 8 minutes to seconds to compare. I'll do both.
There is 60 seconds in a minute. To find the total minutes of 500 seconds, divide 500 by 60 → 8.3, which means that Jody practiced for 8.3 minutes.
To find the total seconds of 8 minutes, multiply 60 seconds per minute by 8 minutes → 60 * 8 = 480 seconds which means that Bill practiced for 480 seconds.
Now you can compare. Jody practiced for 500 seconds, or 8.3 minutes. Bill practiced for 480 seconds, or 8 minutes. Jody practiced longer.
The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.
Step-by-step explanation:
The given is,
Compounds money quarterly
Double your money in 10 years
Step:1
Formula to calculate future investment with compounded quarterly,
...............................(1)
Where, A - Future amount
P - Initial investment\
r - Rate of interest
n - No. of compounding in a year
t - No. of years
Step:2
Let, P = X
A = 2X ( Double your money )
From given, n - 4 ( for compounding quarterly )
t - 10 years
From equation (1)



Take root
root on both side,
![\sqrt[40]{2} = (1+\frac{r}{4} )](https://tex.z-dn.net/?f=%5Csqrt%5B40%5D%7B2%7D%20%3D%20%281%2B%5Cfrac%7Br%7D%7B4%7D%20%29)





r = 6.992 %
Result:
The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.