Answer:
We get that option (1) is a better 18th Birthday gift of child by Grandfather.
Step-by-step explanation:
Given that,
Amount deposited in bank at time of birth by Grandfather is $100.
And there is no other deposits and withdrawals for 18 years.
So,
Principal amount =$100
Time = 18 years
Rate of interest of bank = 10.5%
Option 1:- An account That grows by 10.5% each year
we know that Bank give compound interest on the deposit amount
then Compound interest =
∴ 


Option 2:- An account that grows by $20 each year
Here,
Amount credited in account for 18 years = $20
So, Total amount after completion of 18 years = 
=
Hence,
We get that option (1) is a better 18th Birthday gift of child by Grandfather.
Answer:
(-6,-5)
Step-by-step explanation:
Let a function be f(x)
So, f(x-a) would be the same function BUT translated a units to the RIGHT.
So, that changes all x coordinates a units to the right (+a) and all the y-ccordinates remains same.
Our function goes through the transformation f(x-2), which means 2 units to the right, so we "ADD" 2 to all x-coordinates and y remains same.
Thus, the point (-8,-5) would become (-8+2,-5) = (-6,-5)
Answer: We can get all of the answers by looking at the parts of the graph.
1) The height of the board is about 10, that is all the way at the left.
2) The maximum height is 10.8 at the vertex of the graph.
3) The time at the vertex is 0.4 seconds.
4) The diver enters the water after 1.9 seconds, it is at the bottom right.
The nth term of any geometric sequence can be expressed as:
a(n)=ar^(n-1), a(n)=nth term, a=initial term, r=common ratio, n=term number...
We can easily see that the first term, a=-8
The common ratio is 4/-8=-2/4=1/-2=r=-1/2 so the rule is:
a(n)=-8(-1/2)^(n-1) so the tenth term is:
a(10)=-8(-1/2)^(10-1)
a(10)=-8(-1/2)^9
a(10)=1/64