(fg)(x)=f(g(x))=4(g(x))²-5=4(x+3)²-5=4x²+24x+31
Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5
First step is to determine Jerry total deposit
over the two years
Total deposit = 24×$5
Total deposit= $144
Now let determine what the correct balance will be at end of two years
Using this formula
Maximum Amount=Principal (1+r)^t
<em>Where</em>:
Principal=$144
r=4.8%/12 = 0.4% or 0.004
t=24 months
Let plug in the formula
Maximum Balance = $144 (1.004)^24
Maximum Balance = $158.5
Based on the above calculation both Jerry $100 and Benny $163 balance are eliminated or rule out because the correct balance after two years is $158.5
Inconclusion Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5
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Answer:
13 Raffle tickets
Step-by-step explanation:
Cost for one riffle ticket = 2.50
Total money of Vanessa budgeted for riffle ticket : 34.75
Greatest number of riffle ticket, venessa can with with 34.75
I'll like us to divide 34.75 by 2.5 to get the exact value.
Therefore,
34.75 / 2.5
= 13.9
It therefore implies that, Vanessa will buy a maximum of 13 riffle tickets and still have a change of 2.25
Marty read 4 times as many pages as Nelson and Jennifer COMBINED. Marty read 1,860 pages.
In total, after dividing Marty's total by 4, Jennifer and Nelson both read a total of 465 pages.
After subtracting Nelson's 240, Jennifer is then found to have read 225 pages.
B would be the best viable option, as it clearly shows that 240+?x4=1,860, which it does.
Hope this helped. Khan Academy is a great resource for any learner. :)
Answer:
It is 91% more likely that the tree was atmost 500 yards from the river.
<h3>Step-by-step explanation:</h3>
We are given with distance and height of 100 young trees near a river.
From that table, in total there are 55 trees which grow more than 3 ft during the year.
And among those 55 trees, 50 trees are atmost 50 yards from river.
Hence it is ≈91% more likely that the tree was atmost 50 yards from the river.