How much is in the account after year 6 ??

Answer:

C : angle B is 72.7°

Step-by-step explanation:

I did the same Assingnment

Answer:

square

Step-by-step explanation:

i got it right in edge

Answer:

Its B

Step-by-step explanation:

I just took the test

The difference between log(x/y) and log(x)/log(y) is that the first expression can be written as log x - log y, which is not equal to the second term.

The opposite of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 1000 = 10³, the logarithm of 1000 in base 10 is 3, or log₁₀ = 3.

Given:

log(x/y) and log(x) / log(y),

The formula for  log(x / y)  can be written as shown below,

log(x / y)   = log x - log y

As you can see the term is not equal to log(x) / log(y), hence they are different,

The values of the function would differ as in this expression log(x/y) you would first divide x by y and then will take the log of the result,

In the expression log(x) / log(y), you will take the log first individually and then divide the answer.

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Answer:

Before we could add these numbers, 3/8 and 7/10 need a common denominator. Both 8 and 10 go into 40.

8 goes into 40 five times

3/8= (3*5)/40 = 15/40

10 goes into 40 four times

7/10= (7*4)/40= 28/40

ANSWER: A) 15/40 and 28/40

Hope this helps! :)

Step-by-step explanation:

Option: A is the correct answer.

The value of cos P is:

             A)   [tex]\dfrac{9}{41}[/tex]

We know that if two angles A and B are complementary then,

[tex]A+B=90[/tex]

i.e.

[tex]B=90-A[/tex]

Here we have angle P and angle Q are complementary i.e.

[tex]P=90-Q[/tex]

Also, we are given,

[tex]\sin Q=\dfrac{9}{41}[/tex]

We are asked to find:

[tex]\cos P[/tex]

It could also be written as:

[tex]\cos P=\cos (90-Q)\\\\i.e.\\\\\cos P=\sin Q\\\\i.e.\\\\\cos P=\dfrac{9}{41}[/tex]

The Law of Cosines is used to find the remaining parts of a triangle when the triangle is not a right triangle and when either the lengths of two sides and the measure of the included angle is known (SAS) or the lengths of the three sides (SSS) are known.

The law of cosine states if a,b,c are the three sides of any triangle then [tex] a^{2} =b^{2} +c^{2} -2bccosA [/tex]

In the above proof in statement 8 the x in statement 5 is replaced by c cos A from statement 6.

Among the given options ,option C holds true as the reason for statement 8.

Answer:

72 is the og

Step-by-step explanation:

72*.17=12.24

The original cost of the meal is $72.

In mathematics →

Given is that Sally left a $12.24 tip that represented 17% of her bill.

Assume that the original cost of the meal is $[x]. So, we can write -

12.24 = 17% of {x}

12.24 = (17/100) × {x}

{x} = (12.24 x 100)/17

{x} = 1224/17

{x} = 72

Therefore, the original cost of the meal eaten by Sally is $72.

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Final answer:

The sum of the series 4+12+36+108+...+8748 is found by observing that it is a geometric progression with a common ratio of 3. By comparing the last term to the options, and understanding the rapidly increasing nature of geometric series, the sum is slightly larger than the last term, which only matches the option 8908.

Explanation:

To find the sum of the geometric series 4+12+36+108+...+8748, we first need to identify the common ratio (r) of the series. Each term is obtained by multiplying the previous term by the constant r. In this case, r = 12 / 4 = 36 / 12 = 108 / 36 = 3. The series is therefore a geometric progression with the first term a = 4 and common ratio r = 3.

We can then use the formula for the sum of the first n terms of a geometric series, which is Sn = a(1-rn) / (1-r), where r ≠ 1. However, we need the number of terms (n). To find n, we use the formula for the nth term of a geometric sequence, which is an = a * rn-1. We can solve for n considering the last term given: 8748 = 4 * 3n-1.

However, instead of manually finding the value of n and then the sum, let us approach the problem with the available options. The sum of a geometric series increases very rapidly due to the exponential nature of each subsequent term. Comparing the last term with the provided options, we can infer that the sum has to be a little bit greater than the last term of the series, 8748.

By inspection of the options, the only number that is slightly greater than 8748 is 8908. Therefore, to the quickest approximation and without going through detailed calculations, the sum of the series is 8908.

Final answer:

The probability that a DVD will have a video or audio defect is 1.9%, calculated using the principle of inclusion-exclusion. The probability that a DVD will not have any defect is 98.1%, obtained by subtracting the probability of having a defect from 100%.

Explanation:

To solve the probability that a DVD purchased by a customer will have a video or audio defect or not, we can use the principle of inclusion-exclusion for probabilities.

According to the given data:

Part a: The probability that a DVD will have a video or audio defect (at least one type of defect) is calculated by adding the probabilities of each defect and subtracting the probability of both defects occurring, as these are counted twice.

P(either type of defect) = P(video defect) + P(audio defect) - P(both defects)

P(either type of defect) = 1.5% + 0.8% - 0.4% = 1.9%

Part b: To find the probability that a DVD will not have any defect, we subtract the probability of either defect from 100%.

P(no defect) = 100% - P(either type of defect)

P(no defect) = 100% - 1.9% = 98.1%

Therefore, the probability that a DVD will have a video or audio defect is 1.9%, and the probability that a DVD will not have any defect is 98.1%.

the answer is $60.30 because half of 100.50 is 50.25 and the both would pay 10%. 10% of 100.50 is 10.05.

10.05+50.25= 60.30

In the question it is already given that Melissa and Joey would have to share the total bill along with the tips at the resturant during their dinner. The paid the water an amount of $100.50 and additional 20% tip.Firstly we have to find the amount of the tip and then add with the total amount to calculate the total amount paid by both of them.

Amount of tips paid to the waiter = (20/100) * 100.50 dollars

                                                    = 2010/100 dollars

                                                    = 20.10 dollars

So Melissa and Joey paid $20.10 as tips to the waiter.

Then the total amount paid  by both of them = (100.50 + 20.10) dollars

                                                                      = 120.60 dollars

Then the amount paid by Melissa and Joey = 120.60/2 dollars

                                                                    = 60.3 dollars.

So Melissa and Joey will individually pay $60.3 each.

After the WW2, Britain had become weaker and its powers had started to decrease. It had lost many of its soldiers and revenues in the world war. Also it needed to focus on the development of its own country now.

so, the rebels in the colonial Africa became stronger than Britishers. So Africans were able to fight back for their freedom and land. Hence, after a while colonial powers left completely from certain parts of Africa.