PLEASE HELP MEEEEEE :(((
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Answer:
t (years)= (10log 20/log 1000) in base 10
Step-by-step explanation:
N = 5 × 10^0.3t
N = 100 branches
100 = 5 × 10^0.3t
100/5 = 10^0.3t
20 = 10^0.3t
Taking log of both sides
Log 20 base 10 = 0.3t
Log 20 base 10 = (3/10)t
Multiply both sides by 10
10log 20 base 10 = 3t
Recall, log 1000 base 10 = 3
10 Log 20 base 10 = (log 1000 base 10)×t
t = (10Log 20 base 10)/(log 1000 base 10)
t (years)= (10log 20/log 1000) in base 10
The number of years it will take for the tree to have 100branches is (10log 20/log 1000) in base 10
Jack should invest $8400 in the CD account and $3600 in the savings account.
Step-by-step explanation:
Jack wants to earn 7.5% interest per year. That implies he wants to earn
7.5/100*12000 per year i.e $900 per year.
Lets assume he invests X amount in the savings account. That leaves 12000-X to be invested in the CD account.
That implies,
=>
=>
=> X = 3600