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Sunny_sXe [5.5K]
3 years ago
9

A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve

an absolute value inequality to determine the range of salaries at this company.
Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0
<span>|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000</span>
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Suppose Miss Roxanne Davenport is 25 years old right now and puts away $1,800 per quarter in an account that returns 6% interest
Lena [83]

We have been given that miss Roxanne is 25 years old and she puts 1800 dollars per quarter that returns 6% interest.

(a) We need to figure out how much will be in the account when she turns 65 years old. When she turns 65 years old, the number of years during which she made deposits would be 40. Since she made quarterly deposits. She made a total of 160 deposits. We can now figure out the final amount in the account using future value of annuity formula.

A=P\frac{(1+r)^{n}-1}{r}

We have the values P=1800, r=6/4% = 1.5% = 0.015 and n=160.

Therefore, the amount in the account would be:

A=1800\frac{(1+0.015)^{160}-1}{0.015}=1179415.39

Therefore, miss Roxanne will be 1179415.39 dollars in her account when she turns 65 years old.

(b) In this part we need to figure out the total amount she deposited.

The total amount she deposited would be 1800*160=\$288000.

(c) We can find the interest earned by subtracting her contribution from the answer of part (a).

Interest earned = 1179415.39-288000=\$891415.39

7 0
3 years ago
Read 2 more answers
The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.
zavuch27 [327]

Answers: The page numbers are 11 and 12

==========================================================

Explanation:

Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.

Let,

  • x = first page, some positive whole number
  • x+1 = second page, follows immediately after page x

Adding those two said pages will lead to 23

first + second = 23

(x) + (x+1) = 23

2x+1 = 23

2x = 23-1

2x = 22

x = 22/2

x = 11 is the first page

x+1 = 11+1 = 12 is the second page

Check: 11+12 = 23 which confirms the answers.

8 0
2 years ago
Solve |t+4| &gt; 10
diamong [38]
For
|a|>b
assume
a>b and a<-b

|t+4|>10
assume
t+4>10 and t+4<-10
solve each
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t>6 and t<-14


A is answer

7 0
3 years ago
8 dinosaurs in the valley eat meat and 40 dinosaurs in the valley eat vegetation. What is the unit rate of dinosaurs that eat ve
saul85 [17]

Answer:

5

Step-by-step explanation:

8 dinosaurs in the valley eat meat

40 eat vegetation

Therefore the unit rate of dinosaurs that eat vegetation to those that eat meat can be calculated as follows

= 40/8

= 5

8 0
3 years ago
Please answer me quickly first one to answer will get Brainlyest
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