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ankoles [38]
2 years ago
14

Lyndon got a new job which pays $24.25 per hour. He works 40 hours per week. He pays 5% state income tax on his earnings. How mu

ch does Lyndon have remaining after state income tax is deducted from 4 weeks of pay?
Mathematics
1 answer:
Nataly_w [17]2 years ago
4 0

Answer:

$3686 remaining after tax

Step-by-step explanation:

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Expand using the properties and rules for logarithms
malfutka [58]

Consider expression \log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right).

1. Use property

\log_a\dfrac{b}{c}=\log_ab-\log_ac.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2.

2. Use property

\log_abc=\log_ab+\log_ac.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2.

3. Use property

\log_ab^k=k\log_ab.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2.

4. Use property

\log_{a^k}b=\dfrac{1}{k}\log_ab.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{2^{-1}}2=\\ \\=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+\log_22=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+1.

Answer: correct option is B.

7 0
3 years ago
From least to greatest 2.3, 2 4/5, 2.6
algol [13]
2.3, 2.6, 2 4/5

2 4/5= 2.8
7 0
3 years ago
I Don't understand this :/ help please
jek_recluse [69]
The two planes intersect in a single line shared by the planes.  The line of intersection is NO.
3 0
3 years ago
Omar has a new credit card. He earns
Mnenie [13.5K]

Answer:

$600

Step-by-step explanation:

Omar spent $600.

Essentially, we divide his total number of points:

1800

by the amount earned

300

=

6

we take that and multiply by 100 (our amount needed to be spent to earn points) and boom, problem solved.

4 0
2 years ago
Solve the proportion 35/30 = 28/?<br> A. 48<br> B. 23<br> C. 24<br> D. 46
koban [17]

Answer:

C. 24

Step-by-step explanation:

by algebra:

let "?" be x

35/30 = 28 / x   (multiply both sides by 30)

35 = (28/x) (30)   (multiply both sides by x)

35x = (28)(30)

35x = 840  (divide both sides by 35)

x = 840 / 35

x = 24

6 0
3 years ago
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