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3 years ago

Sophia pays £222 for a plane ticket.

Mathematics

1 answer:

Maurinko [17]3 years ago

6 0

9514 1404 393

Answer:

24.6%

Step-by-step explanation:

The cost of the ticket in euros is ...

£222 × €1.38/(£1) = €306.36

Then the ratio of the tax to the to the total cost is ...

€100/(€306.36 +100) = 100/406.36 ≈ 24.6%

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the 11th term in a geometric sequence is 48 and the common ratio is 4. the 12th term is 192 and the 10th term is what?

Soloha48 [4]

Given:

The 11th term in a geometric sequence is 48.

The 12th term in the sequence is 192.

The common ratio is 4.

We need to determine the 10th term of the sequence.

General term:

The general term of the geometric sequence is given by

$a_n=a(r)^{n-1}$

where a is the first term and r is the common ratio.

The 11th term is given is

$a_{11}=a(4)^{11-1}$

$48=a(4)^{10}$ ------- (1)

The 12th term is given by

$192=a(4)^{11}$ ------- (2)

Value of a:

The value of a can be determined by solving any one of the two equations.

Hence, let us solve the equation (1) to determine the value of a.

Thus, we have;

$48=a(1048576)$

Dividing both sides by 1048576, we get;

$\frac{3}{65536}=a$

Thus, the value of a is $\frac{3}{65536}$

Value of the 10th term:

The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term $a_n=a(r)^{n-1}$ , we get;

$a_{10}=\frac{3}{65536}(4)^{10-1}$

$a_{10}=\frac{3}{65536}(4)^{9}$

$a_{10}=\frac{3}{65536}(262144)$

$a_{10}=\frac{786432}{65536}$

$a_{10}=12$

Thus, the 10th term of the sequence is 12.

8 0

3 years ago

A shipping company charged $15 to ship a package and 5% to insure the package. What was the total cost to ship this particular i

Crank

The shipping would be 15.75 because 5% of 15 is 0.75, so add 15 to 0.75 and the answer is 15.75 :)

5 0

3 years ago

Read 2 more answers

15 points if u awnser this question thx

nadya68 [22]

Answer:

y = 1x - 1

Step-by-step explanation:

y = mx + b

m is slope

slope = change in y / change in x = (3 - 2) / (4 - 3) = 1/1 = 1

m = 1 so equation is now y = 1x + b

To find b, substitute any value from the table. Let's use (3,2)

y = 1x + b

2 = 1(3) + b

2 = 3 + b

-1 = b

So equation is y = 1x - 1

4 0

3 years ago

Which of the following is true regarding the solution to the logarithmic equation below?

lidiya [134]

Answer:

Option C.

Step-by-step explanation:

Note: It is given question and option "=" sing is missing. On some places it should be "=" instead of "=".

Consider the given equation is

$\log_2(x+11)=4$

Using properties of \logarithm we get

$(x+11)=2^4$ $[\because \log_ax=b\Leftightarrow x=a^b]$

$x+11=16$

$x=16-11$

$x=5$

The solution is x=5.

To check the solution, substitute x=5 in the given equation.

$\log_2(5+11)=4$

$\log_2(16)=4$

$\log_22^4=4$

$4=4$

$LHS=RHS$

Therefore, x-5 is a true solution because $\log_2(16)=4$ .

7 0

3 years ago

What is the scale factor ? And given that QY’ = 4.125 what is QY?

Drupady [299]

Step-by-step explanation:

Scale factor is found by making a fraction of two numbers;

In this case, 3.5/2, since the dilated line is larger

Scale factor: 1.75 (simplified)

Given that QYprime is 4.125,

4.125 * (2/3.5)

= 2.357 (rounded)

4 0

3 years ago