Answer:
A
Step-by-step explanation:
common ratio of 0.5.
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Option 1: 
is the correct answer
Step-by-step explanation:
We can put the values of x in each option one by one and then compare the output to find the best option
So,
<u>For y = 5x+5:</u>
Putting x=1,2,3,4,5...
The values of x in the function are producing the output values of y, which means that the function for values given in the table is defined by: y= 5x+5
Hence,
Option 1: is the correct answer
Keywords: Functions, variables
Learn more about functions at:
#LearnwithBrainly
Well on a table of data, if the y coordinates increase a lot over a short x distance then it will be steep.
In an equation, you would put it into y = mx + b form and whatever your m is will be your slope. If m is large, it will be steep.
Ind. number of people Dep. Cost, rate of change for adult 13$
Current amount in account
P=36948.61
Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n
Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11
We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000
We can solve this by trial and error.
The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000. It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.
So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.
So it takes 15.00 years to reach the goal of 280000 years.
