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zimovet [89]
3 years ago
13

Expand the logarithm as much as possible using properties. please help!

Mathematics
2 answers:
galina1969 [7]3 years ago
4 0

Step-by-step explanation:

<u>See the steps below:</u>

log\sqrt{1000000x} =\\(1/2)log 1000000x=\\(1/2)log10^6+(1/2)logx=\\(1/2)(6) + (1/2)logx=\\3+(1/2)logx

Solnce55 [7]3 years ago
3 0

Step-by-step explanation:

log (√1000000x)

Rewrite √1000000x as (1000000x)1/2.

expand long ((1000000x)1/2) by moving 1/2

oby moving logarithm.

1/2 longth (1000000x)

Rewrite

log

(1000000x) as log(1000000)+log(x).

1/2(log(1000000)+log(x))

Logarithm base 10 of 1000000 is 6.

1/2(6+log(x))

Apply the distributive property.

1/2.6+1/2 log(x)

Cancel the common factor of 2.

3+1/2 long(x)

Combine 1/2 and log(x)

3+ long(x)/2

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A bank is offering you an introductory credit card promotion. Your interest for the first year is 8%. But, at the beginning
Art [367]

Answer:

  • c) $22.50

Explanation:

<u>1. Calculate the monthly interest owed during year 1</u>

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  • <em>Interest for first year: 8%</em>

  • The monthly rate is the yearly rate divided by 12: 8% / 12 = 0.08/12

  • The monthly interest owed is the monthly rate times the balance: (0.08/12)×$1,800 = $12.00

<u>2. Calculate the monthly interest owed during year 2</u>

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  • <em>Interest for second year: 23%</em>

  • The montly rate is the yearly rate divided by 12: 23% / 12 = 0.23/12

  • The monthly interest owed is the monthly rate times the balance: (0.23/12)×$1,800 = $34.50

<u>3. Calculate the difference</u>

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7 0
3 years ago
What is the slope of the line on the graph?
Bogdan [553]
Answer: 1/2

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Looking at points (0,2) and (2,3), I see that the second point is 1 point higher. Let’s add that in for rise.

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Now for run. The second point is 2 points to the right of the first one. Let’s add that in.

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This is your answer! Hope this helps comment below for more questions :)
3 0
3 years ago
Read 2 more answers
The average (arithmetic mean) of y numbers is x. If 30 is added to the set of numbers, then the average will be x − 5. What is t
Alenkasestr [34]

Answer:

y = \frac{1}{5}(x^{2}-35x)

Step-by-step explanation:

Let the total numbers are n.

If the average of y numbers is x then we can form an equation

\frac{y}{n}=x

⇒ \frac{n}{y}=\frac{1}{x}

⇒ n = \frac{y}{x} --------(1)

Now 30 is added to the set of numbers then average becomes (x - 5)

\frac{y+30}{n+1}=(x-5)

⇒ \frac{(n+1)}{(y+30)}=\frac{1}{(x-5)}

⇒ (n + 1) = \frac{y+30}{x-5}

⇒ n = \frac{y+30}{x-5} - 1 ----- (2)

Now we equate the values of n from equation 1 and 2

\frac{y}{x} = \frac{y+30}{x-5} - 1

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xy - 5y = xy + 30x - x² + 5x

xy - xy - 5y = 35x - x²

-5y = 35x - x²

x² - 35x = 5y

y = \frac{1}{5}(x^{2}-35x)

6 0
3 years ago
Read 2 more answers
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