8 < 2b
8/2 < b
4 < b
2b + 15 < 5
2b < 5 - 15
2b < -10
b < -10/2
b < -5
answer is : b > 4 or b < -5
Answer:
9.694 years
Step-by-step explanation:
Let the investment is $P.
So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.
Let the time is y years.
So, from the formula of compound interest we can write
⇒
⇒
Now, taking log both sides we get,
y log 1.12 = log 3 {Since,
}
⇒ 0.04922y = 0.477712
⇒ y = 9.694 years (Answer)
Answer:
See attached picture to view the graph
Step-by-step explanation:
Start by analyzing how this average idea works:
If only one member goes to the trip, it will cost him/her $1000+$200 = $1200.
If two members go to the trip, then they will share the cost as per the following: ($1000+ $200 + $200 = $1400) which they will be dividing into two people, thus costing each of them $700.
Notice that the general function that represents such average will be given by: 
Plot such function in the two dimensional plane, and you will get the asymptotic behavior shown in the attached image.
Answer:
f(x)=2(\dfrac{2}{3})^x.
Step-by-step explanation:
f(x)=1/2(2)xf(x)=3/4(-1/5)xf(x)=(7/2)xf(x)=2(2/3)x
Answer:
6
Step-by-step explanation: