Round 5,890 to the nearest thousand
2 answers:
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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)
Answer:
a) There are 11,881,336 of these words in total.
b) There are 7,893,600 of these words with no repeated letters.
c) 896,376 of these words start with an a or end with a z or both
Step-by-step explanation:
Our words have the following format:
L1 - L2 - L3 - L4 - L5
In which L1 is the first letter, L2 the second letter, etc...
There are 26 letters in the English alphabet.
(a) How many of these words are there total?
Each of L1, L2, L3, L4 and L5 have 26 possible options.
So there are of these words total
(b) How many of these words contain no repeated letters?
The first letter can be any of them, so L1 = 26.
At the second letter, the first one cannot be repeated, so L2 = L1 - 1 = 25.
At the third letter, nor the first nor the second one can be repeated, so L3 = L1 - 2 = 24
This logic applies until L5
So we have
26-25-24-23-22
In total there are
of these words with no repeated letters.
(c) How many of these words start with an a or end with a z or both (repeated letters are allowed)?
is the number of words that start with an a and do not end with z. So we have
1 - 26 - 26 - 26 - 25
The first letter can only be a, and the last one cannot be z. So:
is the number of words that start with any letter other than a and end with z. So we have
25 - 26 - 26 - 25 - 1
The first letter can be any of them, other than a, and the last can only be z. So:
is the number of words that both start with a and end with z. So:
1 - 26 - 26 - 26 - 1
The first letter can only be a, and the last can only be z. The other three letters could be anything. So:
896,376 of these words start with an a or end with a z or both