Horizontal- y=-1/2
vertical- x=5
x intercepts- (-2,0)
y intercepts- none
hole- (0, 1/5)
Answer:
As e is point between df. So we can write df as
df = de + ef
As given df = 78 , de = 5x - 9 , ef = 2x + 10.
So we can write
78 = 5x - 9 + 2x + 10
78 = 7x + 1
On subtracting 1 on booth side
78 - 1 = 7x +1 - 1
77 = 7x
On dividing both side by 7.
11 = x
So x = 11.
So ef = 2x + 10 = 2*11 + 10 = 22 + 10 = 32
Step-by-step explanation:
Nayeon and her aunt hiked 154 meters before they had lunch and after they had lunch, they hiked 84 more meters. all together they hiked 238 meters. The dad and sister hiked 167 meters before they had lunch and after they had lunch, they hiked 62 more meters. all together they hiked 329 meters. The difference in meters between Nayeon and her aunt and her dad and her sister (before lunch) is 13 meters.
Answer: x = 8
Step-by-step explanation: Move all terms that don't contain x to the right side and solve.
This is the future value quadrupled in t years at an annual interest rate of 6.5% compounded daily. We need to find t.
1*(1+0.065/365)^(365t)t=4
take log on both sides,
365t(log(1+0.065/365)=log(4)
=>
365t=log(4)/log(1+0.065/365)
t=(log(4)/log(1+0.065/365))/365
=(1.38629/.000178066)/365
=21.33 years
Check with the rule of 69, applicable to continuous compounding (an approximation to current problem) to double money, it take 69/interest rate in % years.
=69/6.5
=10.62 years
To double twice (quadruple), it takes twice 10.62
=21.24 years, not that far from 21.33 that we got earlier.
