If you borrow $700 for one year at an interest rate of 8% p.a, how much interest will you pay every month?

Answer:

1) 45 minutes

2) they meet in 20 minutes

3) (12-6)/(20/60)=18kmh

Answer:

Option A

Step-by-step explanation:

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Answer:

14

Step-by-step explanation:

Find HCF

Year 7: 70 students

7x5x2=70

Year 8: 98 students

7x7x2=98

HCF: 14

The largest team size she can use is 14 students.

Grade 7: 5 teams

Grade 8: 7 teams

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Answer:

1. 160 min

2. 84 min

3. 5:12 p.m.

4. 6:40 p.m.

5 a 4:44 p.m.

b 7:14 p.m.

Answer:

f(6) = 24

Step-by-step explanation:

To evaluate f(6) substitute x = 6 into f(x) , that is

f(6) = 6² - 2(6) = 36 - 12 = 24

Answer:

07-7-7

Step-by-step explanation:

Responder:

7

Explicação passo a passo:

Obtemos o maior fator comum de ambas as frutas:

Apple = 60

Laranja = 24

Fatores de:

60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 e 60

24 = 1, 2, 3, 4, 6, 12 e 24

O maior fator comum é 12

Por isso,

Número de malas necessárias para:

Maçãs = 60/12 = 5

Laranjas = 24/12 = 2

Total de sacos plásticos necessários = 5 + 2 = 7

Answer:

1/5=0.2

0.3=3/10

1/2=0.5

7/10=0.7

3/4=0.75

Answer:

35 in binary is 100011.

Step-by-step explanation:

To find decimal to binary equivalent, divide 35 successively by 2 until the quotient becomes 0.

Answer:

please mark me as brainleast

Answer:

B. The function shown on the graph has a smaller rate of change but a higher starting point

Step-by-step explanation:

Question options obtained from a similar question are;

A. The function shown on the graph has a greater rate of change and a higher starting point

B. The function shown on the graph has a smaller rate of change but a higher starting point

C. The function shown on the graph has a greater rate of change but a lower starting point

The function shown on the graph has a smaller rate of change but a higher starting point

Explanation;

The given function with which the graph is compared is y = 4·x + 2

From the given function, we have;

The rate of change of the function is the coefficient of 'x', therefore, the rate of change of the function = 4

When y = 0, 4·x + 2 = 0,

∴ x = -2/4 = -0.5

The y-intercept is given when x = 0

∴ The y-intercept, y = 4 × 0 + 2 = 2

The starting point of the function, is (0, 2)

From the graph, we have;

The y-intercept = (0, 4)

Therefore, the starting point of the line, the y-intercept, (0, 4), is higher than the starting point of the given function, (0, 2)

The coordinates of two (clear) points on the line in the graph are (0, 4) and (-2, -2)

The rate of change of the line, m = (4 - (-2))/(0 - (-2)) = 3

Therefore, the graph has a lesser rate of change, 3, than the rate of change of the given function, 4

When compared with the given function, 'the function shown on the graph has a smaller rate of change and a higher starting point'.

Answer:

Step-by-step explanation:

17/60 = 0.2833333333.....  3 repeating

25/60 = .025  terminating

31/44 = 0.7045454545.....   45 repeating

54/72 = 0.75    terminating

Answer :

Brian has $49 left.

Step by step explanation :

Step 1 : Find how much money Brian spends on rent and food.

First question we should be asking is what is 3/5 of 735?

Let's find that.

[tex]\frac{3}{5}[/tex] * [tex]\frac{735}{1}[/tex]

= [tex]\frac{(3)(735)}{(5)(1)}[/tex]

= [tex]\frac{2205}{5}[/tex]

= 441

We know Brian spends $441 on rent. Now we find how much he spends on food.

[tex]\frac{1}{3} * \frac{735}{1}[/tex]

= [tex]\frac{(1)(735)}{(3)(1)}[/tex]

= [tex]\frac{735}{3}[/tex]

= 245

Brian spends $245 on food.

Step 2 : Add what he spends on rent and food together.

$441 + $245 = $686

Step 3 : To find out how much money Brian has left, we subtract $686 from $735.

$735 - $686 = $49

Conclusion : Brian has $49 left.

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Answer:

AB = A'B'

BC = B'C'

AC = A'C'

angle ABC = angle A'B'C'

angle CAB = angle C'A'B'

angle CBA = angle C'A'B'

Step-by-step explanation:

use different axomes to show relation,

Answer: Reflect ABC across the vertical line passing through C

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

18x = 12(x+2)

18x = 12x+24

18x-12x = 24

6x = 24

x = 4

Answer:

[tex]4p + 9[/tex]

Step-by-step explanation:

Commutative property of addition:

Changing the order of addends does not change the sum.

Answer:

4p+9

Step-by-step explanation:

Addition is the same reversed.

For example,

7+5=12

AND

5+7=12

Answer:[tex]\color{yellow}{}[/tex]

[tex]\color{iron}{{-1, 0, 4}}[/tex]

[tex]\color{iron}{{-3, 1, 2}}[/tex]

Domain is 5 and the range is 4 so the Function is 1.25

Answer:

x = 8

Step-by-step explanation:

Given 2 intersecting chords.

Then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

14(2x + 2) = 12(2x + 5) ← distribute parenthesis on both sides

28x + 28 = 24x + 60 ( subtract 24x from both sides )

4x + 28 = 60 ( subtract 28 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

Answer:

division

Step-by-step explanation:

2x=11-3

2x=8

divide both side

x=4

Answer:

the original answer is wrong the "FIRST" operation

would be a subtraction , followed by a division

Step-by-step explanation:

Given:

y is directly proportional to x.

[tex]y=30[/tex] when [tex]x=5[/tex]

To find:

The equation that connects y with x.

Solution:

It is given that, y is directly proportional to x. So,

[tex]y\propto x[/tex]

[tex]y=kx[/tex]                     ...(i)

Where, k is the constant of proportionality.

We have, [tex]y=30[/tex] when [tex]x=5[/tex]. Substituting these values in (i), we get

[tex]30=k(5)[/tex]

Divide both sides by 5.

[tex]\dfrac{30}{5}=k[/tex]

[tex]6=k[/tex]

Substituting [tex]k=6[/tex] in (i), we get

[tex]y=6x[/tex]  

Therefore, the required equation is [tex]y=6x[/tex].

Neva is hungry and she buys a snack from the concession stand event is independent.

It is a branch of mathematics that deals with the occurrence of a random event.

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Based on this definition, the scenario that depicts two independent events is Neva is hungry and she buys a snack from the concession stand.

The fact that Neva is hungry and decides to buy a snack from the concession stand is not affected by any other event.

The occurrence of one event (Neva buying a snack) does not affect the probability of the other event occurring.

Therefore, the Neva is hungry and she buys a snack from the concession stand. event is independent.

To learn more on probability click:

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#SPJ5

Answer:

38.8%

Step-by-step explanation:

Area of the triange:

6*6.5*.5= 19.5

Area of the circle:

π*16= 16π

19.5/16π= .387940174

38.8%

Answer:

38.8%

Step-by-step explanation:

Answer:

The length of AB is approximately 6.07 m

Step-by-step explanation:

The given dimensions of the triangle are;

The value of x = 7.7 m

The measure of angle, θ = 52°

The length of side AB = Required

The given triangle ΔABC is a right triangle, with the following sides;

AC = x = The hypotenuse (opposite to right angle) side

(Leg) AB = The opposite side to the reference angle, θ

(Leg) BC = The adjacent side to the reference angle, θ

By trigonometric ratio, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]

Therefore;

[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]

AB = 7.7 × sin(52°) ≈ 6.07

The length of AB ≈ 6.07 m.

Answer:

36˚

6 cm

tangent

8.3 cm

10.2 cm

Step-by-step explanation:

The side lengths of the regular pentagons are congruent

A pentagon has 5 sides, and the central angle is 360°.

Calculate the measure of ABD using:

ABD = 360°/5

ABD = 72

The measure of CBD is half the measure of ABD.

So, we have:

CBD = 0.5 * 72

CBD = 36

Hence, the measure of CBD is 36 degrees

A pentagon has 5 sides, and the given perimeter is 60 cm

Calculate the length of AD using:

AD = 60cm/5

AD = 12

The length of CD is half the length of ABD.

So, we have:

CD = 0.5 * 12

CD = 2

Hence, the length of CD is 6 cm

cm

Using the angle CBD, the trigonometric ratio can be used to compare BC to CD is the tangent ratio

We have:

tan(CBD) = CD/BC

Make BC the subject

BC = CD/tan(CBD)

Substitute known values

BC = 6/tan(36)

Evaluate

BC = 8.3 cm

Hence, the approximate length of BC is 8.3 cm

By Pythagoras theorem, we have:

BD^2 = BC^2 + CD^2

This gives

BD^2 = 8.3^2 + 6^2

Take the square root of both sides

BD = 10.2 cm

Hence, the approximate length of BD is 10.2 cm

Read more about regular pentagons at:

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Answer:

34

Step-by-step explanation:

let x = number of stamps ranu gives out and the number of stamps cathy receives

200 - x = 132 + x

combine like term s

200 - 132 = 2x

68 = 2x

x = 34

Answer:

option A

Step-by-step explanation:

the bigger triangle is two times the size of the small one

Answer:

c(x) =  16x + 22736

R(x) = -2x^2 + 524x  

[ -2x^2 + 508x  - 22736] = 0

Factored: f(x) = -2(x - 196)(x - 58)

58 to break even

Step-by-step explanation:

Your cost is the amount it cost you to "make" stuff.

You have fixed and variable costs (cost of oven is fixed cost of flower and sugar is variable to make cupcakes)

your cost is c(x) =  16x + 22736

"your oven and building cost $22736 per month and you use $16 worth of sugar butter flour to make one cupcake ( it  must be a huge one) ...

your revenue is the amount of money that "comes into your business"...

the amount of money in the cash register.... Note: this is only money IN you still have to pay for the building, sugar flour etc.

R(x) = -2x^2 + 524x  

Note: the minus and the square basically say that the more you charge the less cupcakes you will sell...

Profit is the money in minus the money out

P - R - E   [ -2x^2 + 524x  ] - [16x + 22736]

the break even point is where the two functions are the same

in other words where C=R or R-C=0

[ -2x^2 + 524x  ] = [16x + 22736]

[ -2x^2 + 508x  - 22736] = 0

Factored: f(x) = -2(x - 196)(x - 58)

Answer:

Step-by-step explanation:

C(x)=16x+22736

R(x)=-2x²+524x

P(x)=R(x)-C(x)

=-2x²+524x-16x-22736

=-2x²+508-22736

when profit is zero then no gain or loss.

so -2x²+508x-22736=0

or x²-254x+11368=0

196+58=254

196×58=11368

x²-54x-196x+11368=0

x(x-54)-196(x-54)=0

(x-54)(x-196)=0

x=54,196

so x=54 is the smallest number of bins to break even.

Answer:

Can u do zoom it plz i cant see

Answer:

C

Step-by-step explanation:

The option that has the same range than f(x) is:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

Here we first have the function:

[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]

Remember that the square root only can be evaluated arguments equal or larger than zero.

So the minimum value of x that we can use is x = 3.

[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]

And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.

So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.

The option that meets these two conditions is the third one:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

If you want to learn more about domains and ranges, you can read:

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