Duke works on commission basis. He gets 20% of his total sales. If he
earned $55 last week, what were his sales for the week?

Answer:

The interest for the two years is Rs 51.

Step-by-step explanation:

Rate, R = 4 %

Compound interest for 1 year = Rs 25

Let the sum is P.

For first year,

[tex]A = P \left ( 1+\frac{R}{100} \right )^1\\\\A = P(1+0.04)\\\\A - P = 0.04 P\\\\0.04 P = 25\\\\P= Rs625[/tex]

For 2 year

[tex]A = P \left ( 1+\frac{R}{100} \right )^2\\\\A = 625(1+0.04)^2\\\\A = 676\\[/tex]

Interest is

Interest = Rs 676 - Rs 625 = Rs 51

Answer:

214°

Step-by-step explanation:

Full circle measure = 360°

Measure of arc AB = 146° (central angle has the same measure as measure of intercepted arc)

Therefore:

Measure of arc ACB = 360° - arc AB

Measure of arc ACB = 360° - 146°

= 214°

Answer:

Step-by-step explanation:

Answer:

5% = 1/20

15% = 3/20

6.5% = 0.065

25% = 0.25

7% = 0.07

Step-by-step explanation:

I hope this helps! Just ask me if you have any questions.

Have a nice dayy! :)

Answer:

.05  25%  .15  7% .065  100% 2000% .25

Step-by-step explanation:

Percentages to decimals :

example  

5% = .05

First remove the % sign: 5

Where is the decimal? Here : 5.00

Now move the decimal to the left two places. Fill the gaps with zeros : .05

Another way to do it is by divide the number by 100. Use a calculator if necessary.

Example 2: 6.5%

Move decimal two places to left: .065

Example 3: .56%

Move decimal to places to the left:  .0056

Decimals to percentages. Do the exact opposite. Move decimal to places to the right then add the % sign.

Example: .25 becomes 25%

                .07 becomes 07% or just 7%

Answer:

5km

Step-by-step explanation:

Please check the attached image for a diagram explaining this question

The distance from A to C can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

3² + 4²

= 16 + 9

= 25

determine the square root of 25

√25 = 5km

Answer:

x = -0.70,-2.212.

Step-by-step explanation:

(a) The quadratic equation is :

[tex]6x^2 + 17x + 9 = 0[/tex]

Here,

a = 6, b = 17, c = 9

Put all the values in the quadratic formula.

[tex]x=\dfrac{-17+\sqrt{17^2-4\times 6\times 9}}{2(6)},\dfrac{-17-\sqrt{17^2-4\times 6\times 9}}{2(6)}\\\\x=-0.70,-2.12[/tex]

So, the solution of the given equation are -0.70,-2.212.

(b) Equation is : [tex]4x^2 -4x + 1 = 0[/tex].

Here, a = 4, b = -4 and c = 1

So,

[tex]x=\dfrac{-(-4)+\sqrt{(-4)^2-4\times 4\times 1}}{2(4)},\dfrac{-(-4)-\sqrt{(-4)^2-4\times 4\times 1}}{2(4)}\\\\x=0.5,0.5[/tex]

Hence, this is the required solution.

Answer:

5.18

Step-by-step explanation:

This is a chemistry question. However the solution to the problem is given below:

We'll begin by calculating the pOH of the solution. This can be obtained as follow:

Concentration of Hydroxide ion [OH¯] = 1.5×10¯⁹ M

pOH =?

pOH = –Log [OH¯]

pOH = –Log 1.5×10¯⁹

pOH = 8.82

Finally, we shall determine the pH of the solution. This can be obtained as follow;

pOH = 8.82

pH =?

pH + pOH = 14

pH + 8.82 = 14

Collect like terms

pH = 14 – 8.82

pH = 5.18

Therefore, the pH of the solution is 5.18

Answer:

5.18

Step-by-step explanation:

I took the test and got it right!

Answer:

I think it would be 4 apples for each of them !

Step-by-step explanation:

its division. you had to do 12 ÷ 3

Answer:

The answer is 4 apples per child.

Step-by-step explanation:

If we have 12 apples and 3 children we write as a ratio like this:

12:3

So we have to figure out how many apples each child gets to have.

Next, we cancel out 3 from 12 and 3 which becomes:

4:1

So each child gets 4 apples.

I hope this helps!

Answer:

C

Step-by-step explanation:

AB + BC = AC , that is

5x + 4 + 4x - 8 = 23

9x - 4 = 23 ( add 4 to both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Then

AB = 5x + 4 = 5(3) + 4 = 15 + 4 = 19 → C

Hi there!

1. Trigonometric Ratio

Currently, there are 6 Trigonometric Ratios. 2 ratios are the main topic which are sine and cosine. Both can be shortened as sin, cos. While the other 4 ratios are defined by these two ratios.

2. Adjacent, Hypotenuse, Opposite

3. Using Cosine Ratio

Cosine Ratio is:

[tex] \large \boxed{ \tt{ cos 65 \degree= \frac{x}{7} }}[/tex]

For this part, use the calculator to find the value of cos65 degrees. When you put cos65 degree in a calculator, you should get 0.42261826... round to the nearest tenth as we get 0.4

Hence, the new equation is:

[tex] \large{0.4 = \frac{x}{7} }[/tex]

4. Solve The Equation

[tex] \large{0.4 \times 10 = \frac{x}{7} \times 10} \\ \large{4 = \frac{10x}{7} }[/tex]

Multiply 7 both sides to get rid of the denominator.

[tex] \large{4 \times 7 = \frac{10x}{7} \times 7} \\ \large{28 = 10x}[/tex]

Divide both sides by 10 so we can finally isolate x.

[tex] \large{ \frac{28}{10} = \frac{10x}{10} } \\ \large{ \frac{28}{10} = x}[/tex]

Since the denominator is 10. We can convert to the decimal as 2.8

[tex] \large \boxed{ \tt{2.8 = x}}[/tex]

Because you want the nearest tenth then 2.8 is your answer!

5. Final Answer

Answer:

Step-by-step explanation:

a- 12

b- 2

c- 11

and the next part is

x- 6

y- 18

Answer:

B

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

[tex]a^{-m}[/tex] = [tex]\frac{1}{m}[/tex]

Then

[tex](y^b)^{4}[/tex] = [tex]\frac{1}{y^{24} }[/tex]

[tex]y^{4b}[/tex] = [tex]y^{-24}[/tex]

Equate the exponents

4b = - 24 ( divide both sides by 4 )

b = - 6 → C

Answer:

Any value of x makes the equation true. All real numbers Interval Notation: ( − ∞ , ∞ )

Hope This Helps!!!

Answer:

that he lines are not going strait

Step-by-step explanation:

Answer:

B) Y=-2x+1

Step-by-step explanation:

(-2,5)(2,-3)

M= -8/4 = -2

y = -2x + b

5 = -2(-2)+ b

B= 1

Y=-2x+1

The only function rule that works is A.

Instead of using f(x) - use y

Then place the numbers in for x and see which are true. The answer is A

Answer:

wow thats very interesting

Step-by-step explanation:

whats ur question

Answer:

I don't know the selection options, so please pick them from the explanation below.

Step-by-step explanation:

"like terms" are in this contexts in one group all expressions with x, and in another group all expressions without x.

so,

3x and -2x/9

3x - 2x/9 = 27x/9 - 2x/9 = 25x/9

-1/5 ... = 124/5

... = 125/5 = 25

so, we end up with

25x/9 = 25

x/9 = 1

x = 9

Answer:

10 has 2 digits

1000 has 4 digits

Difference of 2 digits

Answer:

When a point is reflected across the y axis the values of x change. They become negative values of x.

Answer:

(B) The x-coordinate changes.

Step-by-step explanation:

Answer:

Answer:  =360h+335

Step-by-step explanation:

Answer:

306h + 281

Step-by-step explanation:

-7 + 18(17h + 19)

-7 + 306h + 288

306h + 281

From one of the trigonometric ratios, tan(x), it is possible to find that x is equal to 52.1°.

The main trigonometric ratios for a right triangle are presented below.

                [tex]sin(x)= \frac{opposite\; side}{hypotenuse} \\ \\ cos(x)= \frac{adjacent\; side}{hypotenuse} \\ \\tan(x)= \frac{sin(x)}{cos(x)} =\frac{opposite\; side}{hypotenuse}* \frac{adjacent\; side}{hypotenuse}=\frac{opposite\; side}{adjacent\; side}[/tex]

For solving this question, you need to apply the a trigonometric ratio . You have the dimensions of two sides and you need to find the angle x.

Thus, you can apply the tan(x).

                       [tex]tan(x)= \frac{opposite\; side}{adjacent\; side}=\frac{36}{28} =\frac{9}{7}[/tex]

After that, you should calculate the arctan(x).

                           [tex]arctan\left(\frac{9}{7}\right)=52.1^{\circ \:}[/tex]

Then x= 52.1°

Learn more about trigonometric ratios here:

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Answer:

[tex]y = \frac{2}{7} x[/tex]

Step-by-step explanation:

The slope is

[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]

The y-intercept is 0

The equation of line between the points is y = ( 2/7 )x

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 7 , 2 )

Let the second point be Q ( 0 , 0 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2/7 )

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 0 = ( 2/7 ) ( x - 0 )

y = ( 2/7 )x

Hence , the equation of line is y = ( 2/7 )x

To learn more about equation of line click :

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Given:

Divide 73.85 by 4.1.

To find:

The first step when applying properties of operations to divide 73.85 by 4.1.

Solution:

We have,

Divide 73.85 by 4.1 [tex]=\dfrac{73.83}{4.1}[/tex]

Here, the dividend is 73.83 and divisor is 4.1.

First, we have to remove the decimals.

In numerator we have to digits after decimal and in denominator we have 1 digit after decimal.

So, multiply the divisor and dividend by 100 to remove the decimal.

Therefore, the first step is "Multiply the divisor and dividend by 100".

Answer:

B

Step-by-step explanation:

What is the first step when applying properties of operations to divide 73.85 by 4.1?

Answer:

try 4

Step-by-step explanation:

basically need to find number that when multiplied 3 times equals 64 so 4*4*4=64

Answer:

radius = 2

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 4 ← is in this form

with r² = 4 ⇒ r = [tex]\sqrt{4}[/tex] = 2

centre (0, 0 ) and radius = 2

Answer:

B and C are the correct answers

Step-by-step explanation:

Hope this helps!

The statement B and C are true according to logarithm rules.

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

A) log(M/N) =log M/log N

Quotient rule is log (x/y)=log x-log y

So, which in not true

B) logM+logN=log(MN)

Product rule is log(xy)=logx+logy

So, the statement is ture

C) log(M/N) =log M - log N

Quotient rule is log (x/y)=log x-log y

So, the statement is ture

D) log M - log N=log(M-N)

Quotient rule is log (x/y)=log x-log y

So, which in not true

Therefore, the statement B and C are true according to logarithm rules.

To learn more about the logarithmic equation visit:

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Answer:

Hi there!

Recall that slope-intercept form is:

y = mx + b

Where m = slope

In this instance, we are given a slope of 4,

therefore:

y = 4x + b

Substitute in the x and y coordinates of the point given:

0 = 4(3) + b

0 = 12 + b

Substract 12 from both side:

-12 = b

Therefore, the equation would be:

y = 4x - 12

Graph the equation by finding x and y values or using a calculator:

x = 0, y = 4(0) - 12 = 12 (0, 12)

x = 1, y = 4(1) - 12 = - 8 (1, -8)

x = 2, y = 4(2) - 12 = - 4 (2, -4)

x = 3, y = 4(3) - 12 = 0 (3, 0)

And so forth:

Thanks<8