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jarptica [38.1K]
2 years ago
13

Can someone solve this?

Mathematics
1 answer:
RoseWind [281]2 years ago
3 0
I can the company sold 3,00 units in 2008, and 5,00 in 2012
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Logarithms- How to answer these questions?
kotykmax [81]

Answer:

2. m = b³ (= 216)

3. logp(x) = -4

Step-by-step explanation:

2. The given equation can be written using the change of base formula as ...

... log(m)/log(b) + 9·log(b)/log(m) = 6

If we define x = log(m)/log(b), then this becomes ...

... x + 9/x = 6

Subtracting 6 and multiplying by x gives ...

... x² -6x +9 = 0

... (x -3)² = 0 . . . . . factored

... x = 3 . . . . . . . . . value of x that makes it true

Remembering that x = log(m)/log(b), this means

... 3 = log(m)/log(b)

... 3·log(b) = log(m) . . . . . multiply by the denominator; next, take the antilog

... m = b³ . . . . . . the expression you're looking for

___

3. Substituting the given expression for y, the equation becomes ...

... logp(x^2·(p^5)^3) = 7

... logp(x^2) + logp(p^15) = 7 . . . . . use the rule for log of a product

... 2logp(x) + 15 = 7 . . . . . . . . . . . . . use the definition of a logarithm

... 2logp(x) = -8 . . . . . . . . . . . . . . . . subtract 15

... logp(x) = -4 . . . . . . divide by 2

6 0
3 years ago
Read 2 more answers
Amount Accumulated: ?
zalisa [80]

Answer:

Year 1

4% of $1,000 is $40

Year 2

4% of $1,040 is $41.6

The Princple has accumulated $1,081.60 dollars.

6 0
3 years ago
175 calories in 12 ounces. how many in 1 ounce?​
kaheart [24]

Answer:

I think its 14.58

Step-by-step explanation:

luv you

6 0
2 years ago
Read 2 more answers
What is the rate of change of the function?<br>​
vaieri [72.5K]
<h3>Answer is -2</h3>

I hope it is helpful for you ....

6 0
3 years ago
Find the surface area of a right cone with diameter 30 in. and slant height 8 in.Your answerEXTRA CREDIT: Find the surface area
Anon25 [30]

<u>Answer:</u>

Surface area = 1084 in²

<u>Step-by-step explanation:</u>

To find the surface area of a right cone, we can use the following formula:

\boxed{{Area = \pi r^2 + \pi rl}},

where:

• r = radius

• l = slant height.

In the question, we are told that the diameter of the cone is 30 in. Therefore its radius is (30 ÷ 2 = ) 15 in. We are also told that its height is 8 in.

Using this information and the formula above, we can calculate the surface area of the cone:

Surface area = \pi \times (15)^2 + \pi \times 15 \times 8

                     = 345 \pi

                     \approx 1084 in²

6 0
1 year ago
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