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ycow [4]
4 years ago
13

Noah received a $500 signing bonus when he accepted a job as a paralegal if he makes $28 an hour which equation models Noah tota

l pay y in dollars as it relates to the number of hours x that he works
Mathematics
2 answers:
Lyrx [107]4 years ago
8 0
The total amount the Noah receives will be equal to his hourly payment multiplied by the number of working of hours added to the 500$ bonus which he received.

Now, Noah get 28$ per hour and he works for x hours. This means that the payment he gets for working = 28x
Then, we will add the $500 which he received as a bonus.
Doing this, we can get the expression that models his total payment as follows:
y = 28x + 500
Zepler [3.9K]4 years ago
3 0

Answer:

y = 28x + 500

Step-by-step explanation:

APEX

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Solve the equation. –3x + 6 = –9
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x=5

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B -4

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The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

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

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
4 years ago
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Indicate a general rule for the <img src="https://tex.z-dn.net/?f=%20n%5E%7Bth%7D" id="TexFormula1" title=" n^{th}" alt=" n^{th}
xenn [34]
Answer: option D) An = 3an - 9a

Justification:

1) That is an arithmetic sequence which you prove by determining the difference between two consecutive terms (which shall be constant if it indeed is an arithmetic sequence):

2)

Second term - first term = -3a - (-6a) = -3a + 6a = 3a
Third term - second term = 0a - (-3a) = 3a
Fourth term - third term = 3a - 0a = 3a
Fith term - fourth term = 6a - 3a = 3a

Therefore, it is an arithmetic sequence with difference d = 3a.

3) the general rule for the nth term of an arithmetic sequence is given by the formula:

An = Ao + d (n - 1)

Where Ao = -6a and d, as determined above, is 3a

=> An = -6a + 3a (n - 1)

Expand the parenthesis (distributive property) =>

An = -6a + 3an - 3a = -9a + 3an = 3an - 9a = option D. <------- answer.
7 0
4 years ago
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