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3 years ago

5

Equivalent to what is a expression equivalent to log18 – log(p + 2)?

1 answer:

Pie3 years ago

5 0

Log(18) - log(p+2)
because base of both logarithms is 10 that means we can merge them into one logarithm

the rule is as fallows:
log(b) - log(c) = log (b/c)
log(b) + log(c) = log(b*c)

since sign between our 2 logarithms is - that means that we need to divide

answer is:
log(18/(p+2))

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2 years ago

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2,10,18,26 find the 61st term

saw5 [17]

Answer:

482

Step-by-step explanation:

We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:

$a_{n} =a_{1} +(n-1)d$

Where $a_{1}$ is the first term, $a_{n}$ is the nth term, and $d$ is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do $10-2$ , which is $8$ , or the common difference. Since we have everything we need, it can be plugged into the equation:

$a_{61} =2 + (61 - 1)*8\\a_{61} = 2 + 60*8\\a_{61} = 2 + 480\\a_{61} = 482$

So, the 61st term is 482.

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3 years ago

A newspaper reporter says that a company made 700,000 profit last year it says this was 12% more then the year before . Work out

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Answer:

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3 years ago

Mr Teo wants to buy an oven. Which shop sells the oven at a lower price? Show your working clearly.

Oliga [24]

Answer:

Shop B

Step-by-step explanation:

Hi there!

To solve this question, we can find the new prices of each oven and identify which one is cheaper.

<u>Shop A</u>

Usual price: $190

Discount: 15%

First, we must subtract the discount percent from 100:

100 - 15 = 85

Therefore, the new price of the product will be 85% of the original price. Find 85% of $190:

190 × 0.85

Therefore, the new price is $161.50.

<u>Shop B</u>

Usual price: $200

Discount: 20%

Again, subtract 20 from 100:

100 - 20 = 80

This means that the new price of the oven is 80% of the original price:

200 × 0.8 = 160

Therefore, the new price is $160.

Because a $160 oven is cheaper than a $161.50 oven, Shop B sells the oven at a lower price.

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2 years ago

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