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What are the domain and the range of function f?

Answer:

2.5%

Step-by-step explanation:

A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?

The formula for Rate of Interest in a simple interest is given as:

r = (1/t)(A/P - 1)

Where

t = time in years = 3 years

P = Principal = Initial amount invested = Ghc 500,000.00

A = Amount after t years =

Principal + Simple Interest

= Ghc 500,000.00 + Ghc 37,500.00

= Ghc 537,500.00

Hence:

The rate of interest = (1/3) × (Ghc 537,500.00/Ghc 500,000.00 - 1)

= r = 0.025

Converting r decimal to R a percentage

R = 0.025 × 100 = 2.5%/year

Therefore, the rate of interest per annum is 2.5%

Answer:

The y intercept is the b in y = mx + b

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Dont take my word for it but I think it should be 0      

Answer:

218

Step-by-step explanation:

No. of male students = [tex]\frac{45}{100}[/tex] × 800

                                   = 360

No. of male students that play varsity sports = [tex]\frac{30}{100}[/tex] × 360

                                                                          = 108

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No. of female students = 800 - 360

                                      = 440

No. of femal students who play varsity sports = [tex]\frac{25}{100}[/tex] × 440

                                                                            = 110

Total no. of students who play varsity sports = 108 + 110

                                                                          = 218

Answer:

30, 11

Step-by-step explanation:

x+x-19=41

2x=41+19=60

x=60/2=30

x-19=11

Answer:

70%

Step-by-step explanation:

5/10. 50%

6/10. 60%

8/10. 80%

9/10. 90%

Answer:

70%

Step-by-step explanation:

Answer:

9, 13, 17, 21,25

Step-by-step explanation:

n=1, 4×1+5=9

n=2, 4×2 +5=13

::

:

n=5, 4×5 + 5= 25

Answer:

Tyrese will receive $39.81 in return.

Step-by-step explanation:

First, you have to multiply the 15 packs for the cost per pack:

15*$5=$75

As there is a 25% discount before tax if 10 or more packs are purchased, you have to calculate 25% of the total cost for the 15 packs and subtract that amount from the cost:

$75*25%=$18.75

$75-$18.75=$56.25

Then, you have to calculate 7% of the amount with the discount and add that to the cost:

$56.25*7%=$3.93

$56.25+$3.94=$60.19

Now, you can subtract $60.19 from $100 to find the change that Tyrese will receive in return:

$100-$60.19= $39.81

According to this, the answer is that Tyrese will receive $39.81 in return.

Answer1: for every 5 kids there are 9  parents

2 part a: the for every 4 cookies for every 9 sodas that are sold

2 part b:the ratio of cookies to soda is 9:4

3.the ratio of pencils to erasers is 15:7

3: for every 15 pencils there are 7 erasers.

4.The first blank is 2eyes there Are4 legs

Step-by-step explanation:

Answer:

hope this helps :)

Step-by-step explanation:

5 to 9

the number of cookies sold to sodas sold id 9:4

the ratio of erasers to pencils is 15:7

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of Congruent Angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement           [tex]{}[/tex]                                  Reason

1. ∠1 and ∠2 are supplementary    [tex]{}[/tex]     Given

 [tex]{}[/tex] ∠1 and ∠3 are supplementary

2. m∠1 + m∠2 = 180°        [tex]{}[/tex]                    Definition of supplementary angles

[tex]{}[/tex]   m∠1 + m∠3 = 180°

3. m∠1 + m∠2 = m∠1 + m∠3      [tex]{}[/tex]          Transitive Property

4. m∠2 = m∠3       [tex]{}[/tex]                               Subtraction Property of Equality

5. ∠2 ≅ ∠3       [tex]{}[/tex]                                    Definition of Congruent Angles

Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.

Answer:

y equals, 2 x minus 5 in the x y-plane is a line with slope 2 and a y-intercept

Step-by-step explanation:

Answer:

y=2/3+5

Step-by-step explanation:D

Answer:

7+2(a-3)=-9

a= -5

Step-by-step explanation:

7+2(a-3)=-9

Distribute 2 through the parentheses

Example: 7+2a-6=-9

Next: 7+2a-6=-9

Subtract the numbers

1+2a=-9

Move constant to the right hand side and change its sighn 2a=-9-1

2a=-9-1

Calculate the difference

2a=-10

Divide both sides of the equation by 2

Answer: a=- -5

Answer:

The mean is 77.

Answer:

The mean of this equation is 77

Step-by-step explanation:

74+75+80+76+75+81+78​-539

Number of terms=7

539/7=77

Answer:

C

Step-by-step explanation:

Took the test

Given:

Fixed cost = $100,000

Additional cost = $100 on each bike

Selling price = $300 each bike

To find:

The number of bikes that must be sold in order for the company to break even.

Solution:

Let x be the number of bikes.

Additional cost of 1 bike = $100

Additional cost of x bikes = $100x

So, the cost function is

Total cost = Fixed cost + Additional cost

[tex]C(x)=100000+100x[/tex]

Selling price of 1 bike = $300

Selling price of x bikes = $300x

So, the revenue function is

[tex]R(x)=300x[/tex]

At break even, the profit is zero. It other words, cost and revenue are equal.

[tex]C(x)=R(x)[/tex]

[tex]100000+100x=300x[/tex]

[tex]100000=300x-100x[/tex]

[tex]100000=200x[/tex]

[tex]\dfrac{100000}{200}=x[/tex]

[tex]500=x[/tex]

Therefore, 500 bikes must be sold in order for the company to break even.

Given:

Circumference of a circle = C

Diameter of a circle = d

To find:

The relationship between the circumference, c, and diameter, d, of any circle.

Solution:

We know that, circumference of a circle is

[tex]C=2\pi r[/tex]

It can be written as

[tex]C=(2r)\pi [/tex]

[tex]C=d\pi [/tex]         [tex][\because d=2r][/tex]

On dividing both sides by d, we get

[tex]\dfrac{C}{d}=\pi [/tex]

Therefore, the correct option is (F).

Answer:

B.

Step-by-step explanation:

the answer is B bevause you subtract 635 and 360, and then you get 275.

An angle measuring 275° is coterminal with a 635° angle.

This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.

here, we have,

we know that,

A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.

Thus,

For w=1 and α=635°

       β = 635° ± 360 * 1

       β = 635° ± 360

      Then, β can be 635°+360=995° or 635°-360= 275°

For w=2 and α=635°°

       β = 635° ± 360 * 2

       β = 635° ± 720

      Then, β can be 635°+720=1355° or 635°-720= -85°

      Therefore, the answer to this question is option B.

Read more about the coterminal angles here:

brainly.com/question/19573972

#SPJ7

Answer:btb

Step-by-step explanation:

Answer:

1.  180°   ∑triangle angles=180°

2. 2x

3. 52°

Answer:

38.85 feet

Step-by-step explanation:

If the honeybee can travel 10.5 feet per second you multiply 10.5 by 3.7 to get the total for 3.7 seconds.

Answer:

1. 8,5a + 38

2.  5,5+b

Step-by-step explanation:

1. a) 9,5(a+4)-a= 9,5a + 38-a= 8,5a + 38

2. 8+b-2,5= 5,5+b

Answer:

It's 1/36

Hope this is the correct ans

Answer:

Step-by-step explanation:

8 triangles : 12 circles

4 triangles : 6 circles

2 triangles : 3 circles

16 triangles : 24 circles

Answer:

a° = 124°

Step-by-step explanation:

Angle E + 250° = 360 because they make a full angle

a° + 126° + E = 360°

a° = 360 - 126 - 110

a° = 124°

Answer:

a=125°

Step-by-step explanation:

The angle at E=360-250=110°

Draw a horizontal through E, parallel to AB and CD such that it divides angle E into two angles of 55° each. Produce line AB to M such that the 55° at E is alternate with it.

A and 55° are now supplementary angles therefore

a+55°=180°

a=180-55=125°

Answer:

131.7 min so c

Step-by-step explanation:

Answer:

The answer that I got is not listed in the options but the closest to that is C) 113 mins

Step-by-step explanation:

btw I got 131.7

Answer:

[tex]y - 2x - 1 = 0[/tex]

Step-by-step explanation:

the slope is :

[tex] \tan( \alpha ) = 4 \div 2 = 2[/tex]

at a pt on graph , when

[tex]x = 1 \\ y = 3 \\ [/tex]

therefore, coordinates are (1,3)

The equation is :

[tex](y - 3) = slope \times (x - 1) \\ (y - 3) = 2 \times (x - 1) \\ y - 3 = 2x - 2 \\ y - 2x - 1 = 0[/tex]

Answer:

You can't get an actual amount unless you know the length of one of the sides. Other than that, AC would be 3 times as much as DE minus 10 units

Step-by-step explanation:

Answer:

a = 26

a ~ 21.8

Read explanation

Step-by-step explanation:

There are two possibilities;

[tex]a^{2}+c^{2}=b^{2}[/tex]

Or

[tex]b^{2}+c^{2}=a^{2}[/tex]

This is because one doesn't know the longest side, and hence there are two possibilities as to what the longest side is.

1. [tex]a^{2}+c^{2}=b^{2}[/tex]

Substitute in the given values;

[tex]a^{2}+(10)^{2}=(24)^{2}[/tex]

[tex]a^{2}+100=576[/tex]

[tex]a^{2}=476[/tex]

a=[tex]\sqrt{476}[/tex]

a~21.8

2.[tex]b^{2}+c^{2}=a^{2}[/tex]

Substitute in the given values;

[tex](24)^{2}+(10)^{2}=a^{2}[/tex]

[tex]576+100=a^{2}[/tex]

[tex]676=a^{2}[/tex]

[tex]26=a[/tex]

Answer:

Either A or C I think, Good luck!!!

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

24x2+25x−47=(−8x−3)(ax−2)−53

then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

The final answer is B.