Alex has a principal of $2,950 that earns 4% annual interest. What is Alex's balance?

Based on the calculations, the slowest rate is equal to 4 gallons per minute.

Given the following data:

Let's assume the boat would sink if it takes in more than 20 gallons of water.

Conversion:

Translating the word problem into an algebraic expression, we have;

[tex]\frac{12}{0.4} \times 3 - \frac{12}{0.4} \times x\geq 30\\\\\frac{36}{0.4}-\frac{12x}{0.4} \geq 30\\\\90-\frac{12x}{0.4} \geq 30\\\\\frac{12x}{0.4} \geq90+30\\\\\frac{12x}{0.4} \geq120\\\\12x \geq120 \times 0.4\\\\12x \geq 48\\\\x\geq 4[/tex]

Therefore, the slowest rate is equal to 4 gallons per minute.

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Answer:

p=2l+2w

p=2(57)+2(47)

p=208 feet

The perimeter of rectangle is 208 ft.

The perimeter of a rectangle is the total length or distance of its boundary on all sides. The perimeter of a rectangle is a linear measure and is expressed in linear units of meters, feet, inches, or yards. Let us first understand the two main properties of a rectangle.

Therefore, the Perimeter of a rectangle = 2(l + w).

Given:

length = 47 ft

width = 57 ft

So, the perimeter of rectangle

= 2( l + w)

=2( 47 + 57)

= 2 x 104

= 208.

Hence, the perimeter of rectangle is 208 ft

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Answer:

9/10, 1 3/15, 1 6/10, 2 2/9

Step-by-step explanation:

Let's make all the numbers a fraction.

1 6/10, 1 3/15, 9/10, 2 2/9

Find the LCD of the fractions.

1 6/10 = 144/90

1 3/15 = 108/90

9/10 = 81/90

2 2/9 = 200/90

Order the fractions least to greatest.

9/10, 1 3/15, 1 6/10, 2 2/9

Answer:

315

Step-by-step explanation:

360 - 45 = 315

since a full circle is 360 degrees that is why we take away the 45 degrees.

Answer:

about 50

Step-by-step explanation:

Ten teaspoons equal 50 milliliters using the conversion factor 1 tsp = 5 mL.

1 tsp = 5 mL

By multiplying 10 teaspoons by the conversion factor (10 tsp × 5 mL/1 tsp)

10 teaspoons × 5 mL/1 tsp = 50 milliliters

So, there are 50 milliliters in 10 teaspoons.

The conversion factor enables us to maintain the same quantity while converting between different units of measurement. It is an essential tool for performing precise conversions in a variety of disciplines including chemistry, medicine and cooking. For practical applications unit conversions must be understood in order to ensure accurate measurements and consistent outcomes across various measurement systems. Since milliliters are a more commonly used unit of measurement, the conversion in this instance enables us to express the volume of teaspoons in that unit.

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Answer:

9x

Step-by-step explanation:

9 packages and x pencils

9x

Answer:

y = 3

Step-by-step explanation:

Let's start with the left side of the equation.

5(y-2)-2= 2(y+1)-5

5y-10-2= 2(y+1)-5

Now let's solve the right side

5y-10-2= 2y+2-5

5y-12= 2y-3

-2y     -2y

3y-12=-3

   +12 +12

3y = 9

3y/3 = 9/3

y = 3

hope this helps!

Answer:

35.5

Step-by-step explanation:

Hopefully this is what you mean

Answer:

Your answer is x=3

Step-by-step explanation:

So  you have the equation 2x+5=11

First, subtract 5 from 5 and from 11.

Then you will cancel out the 5's.

After that, you should have "2x=6"

Now divide 2 from 2x and from 6.

Your answer is x=3

Answer:

The answer is 32 square inches.

Step-by-step explanation:

A square has 4 sides, and each side is 8 square inches. So the area of an object if the space of it. That means 8 x 4 which is 32.

Have a nice day!

Answer: The dot over a number signifies that it is a repeater which would go on for ever, as when we endeavor to describe 1/3 decimally as 0.33333 . . . . (etc) With a series of numbers we place the dot over the first and last, as with 0.97979797979 . . . (etc) The remarkable feature being that a proper fraction divided by 9s e.g. 46/99 is exactly equal to the numerator with the repeater sign followed by the decimal.

Step-by-step explanation: Hope This Helps, Have A Nice Day.

Answer:

f(-3)= 15

Step-by-step explanation:

f(-3) means x is equal to -3

-3 squared - 2(-3)

-3*-3 -2(-3)

*Negative multiplied by a negative equals a positive

9+6= 15

f(-3)= 15

Hope this helps!

Answer:

put (-3) in place of x then it will be 9-6 then f(-3)=3

Answer:

to put a letter in the place of a number

Step-by-step explanation:

Answer:

I believe the value is equal to 8

Answer:

1365 combinations

Step-by-step explanation:

This is 15C4

= 15!/ (4!11!

= 15*14*13*12 / 4*3*2*1

= 32760/24

= 1365.

Answer:

96

Step-by-step explanation:

Answer:

The first one is 12.0, the second one is 12.9, and the third one is greater than or equal to I believe

Step-by-step explanation:

1. because it wants the average but the average is 12.9 so we use the median which is 12.0

2. because it is basically making it into a fraction so 12.9 is the total average

3. 2.4 is greater than or it can be equal to 1.5

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (1, - 3)

m = [tex]\frac{-3-2}{1-1}[/tex] = [tex]\frac{-5}{0}[/tex]

Since division by zero is undefined then the slope of the line is undefined

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

This is because the power of f is -1

Answer:

A. Answer: f^-1(x)= 2-4x/3

Step-by-step explanation:

This is because the power of f is -1, all you would do is solve the 4x-2 divided by 3 to get the answer pls give brainiest thank you.

Answer:

Step-by-step explanation:

1. y=2x-3

2. y=2x+3

3. y=-2x+3

4.  y=-2x-3

The equations of the lines which goes with their graphs.

1. y=2x-3

2. y=2x+3

3. y=-2x+3

4.  y=-2x-3

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (1.5,0) and, (0,-3)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>3x-1.5y=4.5

y=2x-3

Again,

Here, we have to points (-1.5,0) and, (0,-3)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>3x+1.5y=-4.5

y=2x+3

Here, we have to points (1.5,0) and, (0,-3)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>-3x+1.5y=4.5

y=-2x+3

Here, we have to points (-1.5,0) and, (0,3)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>3x+1.5y=4.5

y=-2x-3

Hence, the required equations are,

1. y=2x-3

2. y=2x+3

3. y=-2x+3

4.  y=-2x-3

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Answer:

-6

Step-by-step explanation:

Using additive inverse you will get the answer 6 because additive inverse is the opposite of a number on the number line. But you will reverse it again so it would be -6

Answer:

the opposite of -6 = 6

the opposite of the opposite of -6 = -6

Step-by-step explanation:

easy?

1) The measure of ∠BOA is 60.16°.

2) the length of arc BAC is 14.68cm.

What is the formula for arc length?

Arc length = Central Angle(in radian) * Radius

So, length of arc AC = (45π/180) * 8

Arc AC = 2π

Arc AC = 6.28cm

So, length of arc BAC = arc AC+ arc AB

Arc BAC = 6.28 +8.4

Arc BAC = 14.68cm

∠BOA = length of Arc AB / Radius

∠BOA = 8.4/8 = 1.05 radian

∠BOA= 1.05 *(180/π)°

∠BOA=60.16°

Therefore, 1) The measure of ∠BOA is 60.16°.

2) the length of arc BAC is 14.68cm.

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Answer:

BOA= 60

BAC= 14.7

Step-by-step explanation:

i did it

Answer:

120%

Step-by-step explanation:

Answer:

17.6 kg

Step-by-step explanation:

5 meters = 8 kg

8/5 = 1.6 kg per meter

16-5 = 11

11*1.6 = 17.6 kg

Answer:

Part E is the pic

Part F is the triangle

sorry if it is kinda blurry

Part 6:

You've seen two methods for finding the area of AABC-using coordinate algebra (by hand) and using geometry software.

How are the two methods similar?

They both apply the fundamentals of triangle geometry in solving the area of a triangle using the formula for the area of triangle 1/2×base of triangle×height of the triangle.

How are they different?

Using coordinate algebra in finding the area of a triangle, you would have to measure coordinates(XY coordinates) of a triangle manually on the graph and find y coordinates based on x. If you used geometry software, it would get these coordinates automatically(based on your graph on the software) and calculate the area of the triangle using the formula.

Why might coordinate algebra be important in making and using geometry software?

A solid grasp of coordinate algebra allows you to understand how the geometry software works because it makes use of the same geometry fundamentals, making it easier for you to tweak and get the best value out of the software for your geometry calculations.

Answer:

true

Step-by-step explanation:

true

Answer: True

Step-by-step explanation: