Answer:
y=4/3x+1
Step-by-step explanation:
So basically you have to do the same thing you would do without the perpendicular part. Then just filp the 3/4x to 4/3 and solve for b.
Hope this helps :)
Answer:
It will take 56 years to make $100,000
Step-by-step explanation:
We can use the expression for the future value to determine the number of years you will work to make $100,000. The expression is as shown;
FV=PV(1+r)^n
where;
FV=future value of salary
PV=present value of salary
r=annual raise in salary
n=number of years
In our case;
FV=$100,000
PV=$50,000
r=1.25%=1.25/100=0.0125
n=unknown
replacing;
100,000=50,000(1+0.0125)^n
100,000/50,000=(1+0.0125)^n
2=1.0125^n
ln 2=ln 1.0125^n
ln 2=n ln 1.0125
n=ln 2/ln 1.0125
n=55.7976 rounded up=56
It will take 56 years to make $100,000
Answer:
East and west side= 5 foot
South and north side = 10 foot
Area = 50 foot^2
Step-by-step explanation:
We know that:
East and west fencing cost= $4 per foot
South and north fencing cost $2 per foot
So, we can consider:
x= south and north fencing
y= east and west fencing
Then we create an equation representing the case:
Total cost = (south+north)*$2 + (east+west)*$4
80 =(x+x)*2 + (y+y)*4
80 =(2x)*2 + (2y)*4
80 =4x + 8y
80 =4*(x+2y)
80/4 =x+2y
20 = x+2y
x= 20-2y
We can calculate the area as width * length:
Area = length * width
Area= x * y
Area= (20 - 2y) * y
area= 20y - 2y^2
Next step is to find the "y" value for the maximum area so you can derivate and equal to 0 to find maximums:
d(20y - 2y^2)/dy = 20 - 2*2y = 20 - 4y
20 - 4y = 0
20 = 4y
y = 20/4
y = 5
If y = 5, then:
x = 20 - 2y
x = 20 - 2*5
x = 20 - 10
x = 10
Answer:
14
Step-by-step explanation:
Since both blue chords are perpendicular to the equally long bisectors from the center of the circle, they must have the same length. Since the length of the bottom blue chord is 7*2=14, x must also be 14. Hope this helps!
