Sarah normally earns £600 each month. In December she is given a bonus of 1/5 of her normal pay. How much will she now earn this month?

Answer:

B

Step-by-step explanation:

The question can be written is

5^x = 75

Now take the log of both sides.

log(5x) = log(75)            Bring the x outside the brackets

x log(5) = log(75)           Divide by log 5

x = log(75)/log(5)

log 75 = 1.8751

log 5 = .8990

x = 1.8751/.8990 = 2.6826

Answer:

  (b)  2.68

Step-by-step explanation:

Your question has a link to a suitable calculator. All you need to do is make use of it. It tells you log₅(75) ≈ 2.68.

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Other ways to look at the problem

If you recall that a logarithm represents an exponent of the base, you can ask yourself, what power 5 must be raised to in order to get 75. You know that 5^2 = 25, and 5^3 = 125, so the power will have to be between 2 and 3. There is only one answer choice in that range: 2.68.

__

The rules of logarithms let you rewrite the given expression as ...

  log₅(75) = log₅(3×5²) = log₅(3) +2·log₅(5) = log₅(3) +2

The log₅ of any number between 1 and 5 will be a positive fraction, so this sum must be between 2 and 3.

Answer:

$54

Step-by-step explanation:

[tex]\frac{x}{45} = \frac{20}{100}[/tex]

To get x which is the 20% tip

1. 45×20 = 900

2. 900÷100=9

3. 9 is the tip

To get the total cost, you would have to add $9 to $45 which is $54.

Answer:

16

Step-by-step explanation:22 minus 6 is 16

The final mass of the sugar crystals is 16 grams if Hugo began his science experiment with 22 grams of sugar crystals.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Hugo began his science experiment with 22 grams of sugar crystals.

During the experiment, the change in the mass of the sugar crystals was – 6 grams.

Let x be the final mass of the sugar crystals.

The value of the x can be found using:

x = 22 - 6

x = 16 grams

Thus, the final mass of the sugar crystals is 16 grams if Hugo began his science experiment with 22 grams of sugar crystals.

Learn more about the arithmetic operation here:

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9514 1404 393

Answer:

  zero

Step-by-step explanation:

The y-coordinates of the two points are the same, so the line through them is a horizontal line. There is no vertical change for any amount of horizontal change. The "rate of change" is 0.

Answer:

10 × 8

=80

therefore it takes 80 metre area

Step-by-step explanation:

4

data-mean/total =4

Answer:

Side-Angle-Side (ASA) Congruence Postulate

or

Side-Side-Side (SAS) Congruence Postulate

Step-by-step explanation:

Side MU is congruent to side SE and MS is congruent to side UE (Also stated in 2.). And Angle MSE is congruent to angle MUE and Angle SMU is congruent to angle SEU. (As said in 3.)

Take a look at the image. You could use the SAS postulate or the SSS congruence postulate, both of them are correct and will lead you to the correct answer.

Lmk if you need help on the rest

Please remmeber to mark brainliest!

Given:

The rule for the sequence is

[tex]f(n)=3n^2+1[/tex]

Domain of the function is the set of whole numbers greater than 0.

To find:

The first 4 terms of the sequence defined by the given rule.

Solution:

We have,

[tex]f(n)=3n^2+1[/tex]

Domain of the function is the set of whole numbers greater than 0. So, domain for first four terms are 1, 2, 3 and 4 respectively.

For n=1,

[tex]f(1)=3(1)^2+1[/tex]

[tex]f(1)=3(1)+1[/tex]

[tex]f(1)=3+1[/tex]

[tex]f(1)=4[/tex]

For n=2,

[tex]f(2)=3(2)^2+1[/tex]

[tex]f(2)=3(4)+1[/tex]

[tex]f(2)=12+1[/tex]

[tex]f(2)=13[/tex]

For n=3,

[tex]f(3)=3(3)^2+1[/tex]

[tex]f(3)=3(9)+1[/tex]

[tex]f(3)=27+1[/tex]

[tex]f(3)=28[/tex]

For n=4,

[tex]f(4)=3(4)^2+1[/tex]

[tex]f(4)=3(16)+1[/tex]

[tex]f(4)=48+1[/tex]

[tex]f(4)=49[/tex]

Therefore, the first 4 terms of the sequence defined by the given rule are 4, 13, 28 and 49 respectively.

Answer: LMT=95

Step-by-step explanation:

combine both problems to equal 166

x+x+72+96=166

Combine like terms

2x+168=166

Subtract 168 from 166

2x=168-166

Divide

X=-2/2

X=-1

Plug in -1 for x

96-1=95

72-1=71

71+95=166

LMT=95

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Apply this to the given measures:

Correct choice is A

Step-by-step explanation:

please mark me as brainlest

Answer:

B

Step-by-step explanation:

One approach is to plug (2, -2) to every function and only B will work.

Choice A) y = 3x + 4

-2 = 3(2) + 4

-2 = 10

Does not work

Choice B) y = -3x + 4

-2 = -3(2) + 4

-2 = -2

Works

Choice C) y = -1/3x + 4

-2 = -1/3(2) + 4

-2 = -2/3 + 4

-2 = -2/3 + 12/3

-2 = 10/3

Does not work

Choice A) y = 4x - 3

-2 = 4(2) - 3

-2 = 5

Does not work

You can also just take a look at the function and see that its slope is downwards so it has to be negative. Then check the slope using rise/run.

For every 1 to the right it goes down 3, so -3/1 = -3. The only function with a slope of -3 is answer choice B.

if 3 apples cost 45 rupees

1 apple costs 45 : 3 = 15 rupees

how much with 5 apples cost? ​

5 x 15 = 75 rupees

Answer:

75 rupees

Step-by-step explanation:

Given:

3 apples cost 45 rupees

To Find:

How much with 5 apples cost

Solve:

if 3 apples cost 45 rupees

Since 3 apple cost 45

Thus, Find the cost of 1.

45 ÷ 3 = 15 rupees

Now,

5 x 15 = 75

Thus, 5 apples cost 75 rupees.

~Learn with Lenvy~

Refer to the attachment .

Answer:

x = -30

Step-by-step explanation:

Ok remember this because its important vertical angles means the two angles  are congruent and congruent means when two things are the same

if those two angles are vertical angles what does that mean?

They both equal each other because they are the CONGRUENT!

x-28 = 0.5x -13

combine like terms so add 28 to both sides

x = 0.5x + 15

then subtract - 0.5x on both sides

- 0.5x = 15

then get x by itself by dividing - 0.5 on both sides

x = -30

Answer:

190.3

Step-by-step explanation:

190.3 I multiplied sorry if incorrect

Answer:

6 inches

Step-by-step explanation:

Given:

To find the total amount of yarn Mia has, add the two lengths together:

total yarn = red yarn + blue yard

                = 4 in + 2 in

                = 6 in

9514 1404 393

Answer:

  x = 120/17

Step-by-step explanation:

In this arrangement of right triangles, each is similar to any other. Then the ratio (long side)/(hypotenuse) is the same for all.

  long side/hypotenuse = BD/BA = CB/CA

  x/8 = 15/17

  x = 8(15/17)

  x = 120/17

The applications that will involve percentages include:

Sales tax will involve percentage because the sales tax percentage will be needed to calculate the sales tax. The same goes for the income tax.

Commissions also involve percentages as the commission is a percentage of sales. The original sales price can only be acquired by using the discount or markup percentage applied to it to get the current sales price.

Find out examples of commission percentages at https://brainly.com/question/24951536.

The simple interest rate that he would be of 24.33% a year.

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

In this problem, considering than an year has 365 days, the parameters are as follows:

[tex]A(t) = 204, A(0) = 200, t = \frac{30}{365}[/tex]

Hence:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]204 = 200\left(1 + \frac{30}{365}r\right)[/tex]

[tex]1 + \frac{30}{365}r = \frac{204}{200}[/tex]

[tex]\frac{30}{365}r = 0.02[/tex]

[tex]r = \frac{365}{30} \times 0.02[/tex]

[tex]r = 0.2433[/tex]

The simple interest rate that he would be of 24.33% a year.

More can be learned about simple interest at https://brainly.com/question/25296782

Answer:

My favorite subject in school is ELA because I love to read. Please don't judge I am not a nerd. I just like a good book every once and a while.

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

_____________Gym_______________

Answer: -1/2 (x-4)^2 + 3

Step-by-step explanation:

Since the graphs both have the same stretch of -1/2x^2, you just need to see how much they were shifted up, down, left, or right. h(x) is shifted up 3 and right 4 of f(x) so h(x) = -1/2 (x-4)^2 + 3

Answer:

[tex]h(x)=-\dfrac12(x-4)^2+3[/tex]

Step-by-step explanation:

Given:

[tex]f(x)= - \dfrac12x^2[/tex]

From inspection of the graph, [tex]f(x)[/tex] has been translated 4 units to the right and 3 units up.

Therefore, [tex]h(x)=f(x-4)+3[/tex]

[tex]\implies h(x)=-\dfrac12(x-4)^2+3[/tex]

Answer:

20 pens

Step-by-step explanation:

Half of 36 is 18, along with 2 additional pens.

Answer:

13

Step-by-step explanation:

7strawberries 2 bananas 3 and she use the 3 bananas

and answer is.13

Answer:

The answer is 13 this is because idek

Answer:

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so:

[tex]8x+3=19 \longrightarrow x=2[/tex]

[tex]27=-y-5 \longrightarrow y=-32[/tex]

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