Find a9 in the arithmetic sequence with a1=-2.75 and d=0.25
1 answer:
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Answer:
Hello!
After reviewing the problem you have provided I have come up with the correct solution:
x= 9
Step-by-step explanation:
To come up with this solution you have to first realize that the smaller triangle is a proportionally scaled down version of the entire larger triangle! (I will show what I mean in a linked picture)
So after we have realized that the smaller triangle is a scaled down version of the larger one, we can then create a formula or ratio to calculate the value of the missing side of the larger triangle (being x+6=??).
To create the formula/ratio I divided 10inches by 4inches. Thus the larger triangle is 2.5 times larger than the smaller one.
I then use this ratio to figure out the missing length of the larger triangle by doing:
6inches x 2.5 = 15inches.
I then inputed the 15inches into the formula of the missing side:
x+6=15
Subtracted 6 from both sides to simplify, and came up with the solution!
x=9
Let me know if this helps!
Answer:
(9) $339076.60 (10) $72000 (11) $220800
Note: Kindly find an attached copy of the complete question given below. i solved for 9,10,11 only.
Step-by-step explanation:
Solution
Given that:
Betty set aside $200/month
With a 401 (k) savings
t = 40 years
APR = 5.4%
Now we find the balance in her account after 40 years.
Now,
A = PMT [(1 +r/n)^nt -1]/(r/n)
A = 200 [ (1 + 0.054/12)^(12)(40) - 1]/(0.054/12)
A= $339076.60
(10) Recall that:
t = 40 years
Per month deposit = $150 dollar
The total deposit becomes
t = 40 * 12 = 480 Month
Total deposit = 480 * 150
=$72000
(11) Now we find the less money she received in her paychecks
Thus
Without monthly saving paycheck is =$2300
Now,
For 40 years becomes = $2300 * 40 * 12
=$1,104000
So,
20% of tax deducted = 20/100 * $1,104000
=$220800
Therefore the less amount received in 40 years is $220800
Note:( My research for the complete question was from quiz let, chegg)
