Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it. At the end of the 4 years, how much interest in dollars and cents did the account earn? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answer:

18

Step-by-step explanation:

C = 2πr

r = 3

2π(3) = 18.85

Answer:

1 hour = 7.50

5 hours = 37.50

9 hours = 67.50

7.50 per hour.

97.50 = 13 hours

Step-by-step explanation:

like this

[tex] \frac{22.50}{3} [/tex]

or

[tex] \frac{52.50}{7} [/tex]

= 7.50/1 hour

hope it helps you ☺️

Answer:

1. 7.50

5. 37.50

9. 67.50

Unit rate- 15$ an hour.

She worked 11 hours.

Hope these answers are right and hope they help.

Answer:

B

Step-by-step explanation:

They both are the same equation with the same slope and y intercept which means that they are the same line, thus concluding that they will have infinite points of intersection.

Answer:

16.3, 14, 8, -3

Step-by-step explanation:

Any number less than 16.3 and 16.3 are acceptable answers

Answer: 21 Nickels

21 dimes

8 pennies

Step-by-step explanation:

Answer:

361 units

Step-by-step explanation:

Answer:

x = 3.5

Step-by-step explanation:

3.5 x 3 is 10.5. Triangle two has been expanded each side by 1.5. So multiply 7 (the side with 3x on the other triangle) x 1.5 to get 10.5. To fid x divide 10.5 by 3. This gives you 3.5 as x.

Hope it helps!

Answer:

x = 3.5

Step-by-step explanation:

What we know that the scale factor is 1.5 going from DEF to XYZ (4.5/3 = 1.5; 7.5/5 = 1.5)

So, multiply 7 by 1.5 to get ZX's length. It would be 10.5 units long.

We now know the equation, which is 3x = 10.5

3x = 10.5

Cancel out the multiplication by dividing both sides by 3

x = 10.5/3

Divide 10.5 by 3 to get 3.5

x = 3.5 in this case.

Answer:

2

Step-by-step explanation:

2 is a value of x that would not make the set a function because a function can't have multiple coordinates wit hthe same domain (x-coordinate). 2 is a domain that has already been used in the point (2,7). If this is used in (x,5), the point would become (2,5) and repeat a domain.

Note:

The x-coordinate could also be 1 or 6 because they have been used as domains as well.

Hope it helps!

Answer:

$22.17

Step-by-step explanation:

105.36 multiplyed by 0.22 ( you need to change the 22% to a decimal so just make it 0.22) then once you multiplyed them then you get your answer.

Answer:

I think False umm...

i'm so so sorry if im rong

Step-by-step explanation:

Answer:

Explanation:

5 ⅓ - 1 ⅔

= 3 ⅔

Answer:

(p2−6)(1−2q)

Step-by-step explanation:

hope this helped <3

Answer:1072.3

Step by step:

use the hemisphere formula which is 2/3*pie*r^3

substitute 8 centimeters into the equation.

The Volume of a hemisphere is,

⇒ Volume of hemisphere = 1071.78 cm³

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Radius of hemisphere = 8 centimeters

We know that;

Volume of hemisphere = 2/3 (πr³)

Hence, We get;

⇒ Volume of hemisphere = 2/3 × 3.14 × 8³

⇒ Volume of hemisphere = 1071.78 cm³

Thus, The Volume of a hemisphere is,

⇒ Volume of hemisphere = 1071.78 cm³

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Answer:

there are 12000 pounds in 6 tons

There are 12,200 pounds in 6 tons, 200 pounds .

To convert tons to pounds, we need to multiply the number of tons by the conversion factor of 2,000 pounds per ton .

A ton, also referred to as a short ton, is a unit of weight equal to 2,000 pounds .

Given that there are 6 tons and 200 pounds, we can calculate the total weight in pounds as follows :

6 tons * 2,000 pounds/ton + 200 pounds = 12,000 pounds + 200 pounds = 12,200 pounds .

Therefore, there are 12,200 pounds in 6 tons, 200 pounds .

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Answer:

The answer is GV and VD

Step-by-step explanation:

Those are the answers because of the points on the line. Please pick me as brainliest!!  :)

Answer:

[tex]c^2 = 9dp[/tex]

Step-by-step explanation:

Given

[tex]dx^2 + cx + p = 0[/tex]

Let the roots be [tex]\alpha[/tex] and [tex]\beta[/tex]

So:

[tex]\alpha = 2\beta[/tex]

Required

Determine the relationship between d, c and p

[tex]dx^2 + cx + p = 0[/tex]

Divide through by d

[tex]\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0[/tex]

[tex]x^2 + \frac{c}{d}x + \frac{p}{d} = 0[/tex]

A quadratic equation has the form:

[tex]x^2 - (\alpha + \beta)x + \alpha \beta = 0[/tex]

So:

[tex]x^2 - (2\beta+ \beta)x + \beta*\beta = 0[/tex]

[tex]x^2 - (3\beta)x + \beta^2 = 0[/tex]

So, we have:

[tex]\frac{c}{d} = -3\beta[/tex] -- (1)

and

[tex]\frac{p}{d} = \beta^2[/tex] -- (2)

Make [tex]\beta[/tex] the subject in (1)

[tex]\frac{c}{d} = -3\beta[/tex]

[tex]\beta = -\frac{c}{3d}[/tex]

Substitute [tex]\beta = -\frac{c}{3d}[/tex] in (2)

[tex]\frac{p}{d} = (-\frac{c}{3d})^2[/tex]

[tex]\frac{p}{d} = \frac{c^2}{9d^2}[/tex]

Multiply both sides by d

[tex]d * \frac{p}{d} = \frac{c^2}{9d^2}*d[/tex]

[tex]p = \frac{c^2}{9d}[/tex]

Cross Multiply

[tex]9dp = c^2[/tex]

or

[tex]c^2 = 9dp[/tex]

Hence, the relationship between d, c and p is: [tex]c^2 = 9dp[/tex]

Answer

x = 18 cm

Step-by-step explanation:

Here, we want to calculate the value of x

let half of x = b

so b is the base of each right-triangle

As we can see, the triangle is isosceles

we can calculate the length of the base of one of the smaller right angled triangle and multiply by 2 to get the full x length

According to Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides

15^2 = 12^2 + b^2

225 = 144 + b^2

b^2 = 225-144

b^2 = 81

b = √81

b = 9

but x = 2b

x = 2(9)

x = 18 cm

Answer:

3

Step-by-step explanation:

Answer: The answer is 4

Step-by-step explanation:
the x is equal to an exponent. Since 3x4 equals 12, and 12+3 equals 15

Answer:

the slope is 3/4x

Step-by-step explanation:

if you need it in slope intercept form too its y=3/4x-1

Answer:

The color of painting 31 is RED

Step-by-step explanation:

it should be red :)

Vincent vanThat answer is 37

Answer:

-7

Step-by-step explanation:

Hi there!

In the form y=mx+b

M is equal to your slope

B is equal to your why intercept

If you have any of these questions in the future just look at m!

-7 means the point goes down seven and one to the right!

Hope this helps!

Have a wonderful day :)

Answer:

-7

Step-by-step explanation:

y = mx+b

m = slope

b = y-intercept

y = (-7)x-2

m = -7

Answer:

The scale factor that transforms quadrilateral ABCD to quadrilateral A'B'C'D' is 3

Step-by-step explanation:

Quadrilateral ABCD has the following coordinates

A(1, 5), B(2, 6), C(3, 3) and D(1, 3)

The image A'B'C'D' has the following coordinates;

A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)

The length of segment [tex]\overline {AB}[/tex] = √((2 - 1)² + (6 - 5)²) = √2

The length of segment [tex]\overline {BC}[/tex] = √((3 - 6)² + (3 - 2)²) = √10

The length of segment [tex]\overline {CD}[/tex] = √((1 - 3)² + (3 - 3)²) = 2

The length of segment [tex]\overline {DA}[/tex] = √((1 - 1)² + (3 - 5)²) = 2

For quadrilateral, we have;

A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)

The length of segment [tex]\overline {A'B'}[/tex] =  √(0 - (-3))² + (4 - 1)²) = 3·√2

The length of segment [tex]\overline {B'C'}[/tex] = √((3 - 0)² + (-5 - 4)²) = 3·√10

The length of segment [tex]\overline {C'D'}[/tex] = √((-3) - 3)² + (-5 - (-5))²) = 6

The length of segment [tex]\overline {D'A'}[/tex] = √((-3) - (-3))² + ((-5) - 1)²) = 6

The scale factor that transforms quadrilateral ABCD to A'B'C'D' is given as follows;

[tex]The \, scale \, factor \, of \, transformation = \dfrac{\overline {A'B'}}{\overline {AB}} = \dfrac{\overline {B'C'}}{\overline {BC}} = \dfrac{\overline {C'D'}}{\overline {CD}} = \dfrac{\overline {D'A'}}{\overline {DA}} = 3[/tex]

Therefore, the scale factor that transforms quadrilateral ABCD to A'B'C'D' = 3

Answer:

The answer is B

Step-by-step explanation:

To rotate a figure 90 degrees clockwise the figure needs to be moved from (x,y) to (y,-x)

The original figure lies at A (5,5) B (5,1) C (2,1) D (1,5)

Rotating the figure 90 degrees clockwise would be A' (5-,5), B' (1,-5), C' (1,-2), D' (5-1)

Answer:

1.847

Step-by-step explanation:

divide 2.45 and 1.75 dats ur ans

The grocer should combine 2 pounds of $1.75/lb trail mix with 3 pounds of $3.75/lb trail mix to get 5 pounds of $2.95/lb trail mix.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Let's assume that the grocer needs to combine x pounds of $1.75/lb trail mix to the 3 lb of $3.75/lb trail mix.

To find out how many pounds of $1.75/lb trail mix are needed, we can use the following equation:

$1.75x + $3.75(3) = $2.95(x + 3)

Simplifying the equation, we get:

$1.75x + $11.25 = $2.95x + $8.85

Subtracting $1.75x from both sides, we get:

$11.25 = $1.20x + $8.85

Subtracting $8.85 from both sides, we get:

$2.40 = $1.20x

Dividing both sides by $1.20, we get:

x = 2

Therefore, the grocer should combine 2 pounds of $1.75/lb trail mix with 3 pounds of $3.75/lb trail mix to get 5 pounds of $2.95/lb trail mix.

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Answer:

3x^2+11x-20

Step-by-step explanation:

step 1 3x(x+5)-4(x+5)

step 2 3x(x+5)-4(x+5)= 3x^2+15-4(x+5)

step 3 3x^2+15x-4x+20