Answer:
y+5 = -3(x-1) point slope form
y = -3x-2 slope intercept form
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/ (x2-x1)
m = (7--5)/(-3-1)
= (7+5)/(-3-1)
= 12/-4
= -3
The slope is -3
Then we can use point slope form to write an equation
y-y1 = m(x-x1)
y--5 = -3(x-1)
y+5 = -3(x-1)
This is in point slope form
Distribute
y+5 = -3x+3
Subtract 5 from each side
y+5-5 = -3x +3-5
y = -3x-2
This is in slope intercept form
Answer:
220
Step-by-step explanation:
Answer:
2 x 10^1 (it looks weird how i typed it so its the first answer btw)
Step-by-step explanation:
(6.4 x 10^3) / (3.2 x 10^2) 1. Follow PEMDAS
(6400) / (320) 2. Divide regularly
20 3. Take the 20 and put it in scientific notation
2 x 10^1
hope this helps :)
The circumference is found by multiplying the diameter by PI.
Circumference = 13 inches x 3.14 = 40.82
Rounded to the nearest tenth = 40.8 inches.
A=P (1+r/n)^nt
A= Total amount invested, P=principal amount, r=Interest rate, n=number of time in a year when the interest is earned (for annual, n=1; for semi-annual, n=2, ...), t = time in years
In the current scenario, case 1, n=2; case 2, n=1 and A1=A2, t1=t2
Therefore,
800(1+0.0698/2)^2t = 1000(1+0.0543/1)t
Dividing by 800 on both sides;
(1+0.0349)^2t = 1.25(1+0.02715)^t
(1.0349)^2t = 1.25(1.02715)^t
Taking ln on both sides of the above equation;
2t*ln (1.0349)= ln 1.25 + t*ln (1.02715)
2t*0.0343 = 0.2231+ t*0.0268
0.0686 t = 0.2231+0.0268 t
(0.0686-0.0268)t = 0.2231
0.0418t=0.2231
t=5.337 years
Therefore, after 5.337 years or 5 years and approximately 4 months, their value of investments will be equal.
This value will be,
A=800(1+0.0698/2)^2*5.337 = $1,153.76
