Dani gets a student loan to go to college. If he pays $750 in interest at a rate of 3% after 10 years, how much must the loan have been for originally?

Answer:

[tex] \frac{3x}{2x - 6} + \frac{9}{6 - 2x} = [/tex]

[tex] \frac{3x}{2x - 6} + \frac{9}{ - 1(2x - 6)} = [/tex]

[tex] \frac{3x}{2x - 6} + \frac{ - 9}{2x - 6} = \frac{3x - 9}{2x - 6} = [/tex]

[tex] \frac{3(x - 3)}{2(x - 3)} = \frac{3}{2} [/tex]

a = -1, b = -9, c = 9, d = 3, e = 3,

f = 2, g = 3/2

Answer:

8/5-12x.

Step-by-step explanation:

To distribute, you simply need to multiply each of the terms inside of the parenthesis by -4. This will give you:

=-4([tex]\frac{-2}{5}[/tex])-4(3x)

=8/5-12x. This is your answer!

Answer:

8/5 -12x

Step-by-step explanation:

Answer:

-0.21

Step-by-step explanation:

The solution is, -0.21 , is the most likely the correlation coefficient for the set of data shown.

A correlation coefficient is a numerical measure of some type of correlation, meaning a statistical relationship between two variables. The variables may be two columns of a given data set of observations, often called a sample, or two components of a multivariate random variable with a known distribution.

here, we have,

From the scatter plot that is shown in the graph above, we can observe that the set of data represented are not clustered far apart from each other along the line of best fit.

This suggest a correlation coefficient of lesser value close to zero which shows weaker correlation between variables.

Also, we can observe that There's a downward slope signifying a negative relationship.

As one variable increases, the other variable decreases.

Therefore the correlation coefficient that will match the set of data shown is -0.21.

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Answer:

Step-by-step explanation:

To get the number of level truck loads needed to remove all the dirts in the house, first we need to calculate volume of the truck and the house.

Volume of truck = Length * Breadth * Height

If the truck is 5.0 for the length 2.0 for the height 3.0 for the side base;

Volume of the truck = 5*2*3

Volume of truck = 30

For the house;

Volume of house = Length * Breadth * Height

If the house is 4.0 for the height 14.5 for the length and 11.0 for the side base, then

Volume of the house = 4*14.5*11 = 638

Number of level truck loads needed to remove all the dirts = Volume of house/Volume of the truck = 638/30 ≈ 21.3

This means that about 21 level truck loads are necessary to remove all dirts.

Final answer:

To find the number of truck loads needed to remove all the dirt excavated for the house, calculate the volume of dirt excavated and divide by the volume the truck can carry. In this case, approximately 11 truckloads are required.

Explanation:

The number of level truck loads needed to remove all the dirt can be calculated by first finding the volume of dirt excavated for the house and then dividing it by the volume the truck can carry.

Volume of dirt excavated for the house = 15 m x 11 m x 1 m = 165 m3

Number of truck loads = Volume of dirt excavated / Volume truck can carry

Number of truck loads = 165 m3 / 15 m3 = 11 truck loads

The function y = f(x) = 2x, when evaluated for x = -3, gives the result as -6. Expressed in decimal format to the nearest thousandth, this is -6.000.

This question relates to the function y = f(x) = 2x. To work out f(x) when x = -3, you simply substitute -3 into the function. So, you have 2 * -3 which equals -6.

In decimal format, rounded to the nearest thousandth, as stipulated in the question, this is -6.000.

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Answer:

it would be yes

Step-by-step explanation:

LN and XZ are equal to eachother which means the triangles are the same size therefore means LNM = XZY

Answer:

yes

Step-by-step explanation:

because if you match them with the same group then they come out as congruent

I don't know if that is well explain

Answer:

30

Step-by-step explanation:

g(t) = -2t^3 - 2t^2

f(t)=t-3

g(-3) = -2 (-3)^3 - 2(-3) ^2 =-2(-27) - 2(9) = 54 - 18 =36

f(-3) = -3-3 = -6

g(-3) + f(-3) = 36 + -6 = 30

Dmitri needs 854 glass tiles to cover the top and sides of the box.

Given the dimensions of the box, where Length (L) = 13 cm, Width (W) = 20 cm, and Height (H) = 9 cm, we can find the surface area of the box using the formula for the surface area of a cuboid:

[tex]\[ \text{Surface Area} = L \times W + 2 \times L \times H + 2 \times W \times H \][/tex]

Substitute the values:

[tex]\[ \text{Surface Area} = 13 \times 20 + 2 \times 13 \times 9 + 2 \times 20 \times 9 \][/tex]

[tex]\[ \text{Surface Area} = 260 + 234 + 360 \][/tex]

[tex]\[ \text{Surface Area} = 854 \, \text{cm}^2 \][/tex]

Now, since each glass tile is 1 cm square, the number of tiles needed is the total surface area divided by the area of each tile:

[tex]\[ \text{Number of tiles} = \frac{\text{Surface Area}}{\text{Area of one tile}} \][/tex]

[tex]\[ \text{Number of tiles} = \frac{854}{1} \][/tex]

[tex]\[ \text{Number of tiles} = 854 \][/tex]

Therefore, Dmitri needs 854 glass tiles to cover the top and sides of the box.

Complete Question: Dmitri wants to cover the top and sides of the box shown with glass tiles that are 1cm square. How many tiles does he need? ( The length is 13cm, the width is 20cm and the height is 9cm).

[tex]\frac{x+5}{6} -3=x[/tex]

Try to say it and write what you say, that helped me learn how to do this. I hope this helps.

Answer:

The correct answer is D.

By applying the theorem of intersecting chord to this circle, the measure of arc XY is: D. 137°.

In Mathematics and Geometry, the theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.

By applying the theorem of intersecting chord to this circle shown in the image attached above, we can logically deduce that the measure of arc XY can be calculated by using this formula:

m∠ZWV = 1/2 × (Arc XY + Arc ZV)

90° = 1/2 × (Arc XY + 43)

180° = Arc XY + 43

Arc XY = 180 - 43°

Arc XY = 137°

Answer:

A = 60

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

119 = 3y+14  + 4y

Combine like terms

119 = 7y+14

Subtract 14 from each side

119-14 = 7y+14-14

105 = 7y

Divide each side by 7

105/7 = 7y/7

15 = y

We want to find Angle A

A = 4y

A = 4*15

A = 60

Answer:

As the temperature increases, the ice cream sales increase.

Answer:

David made $18

Step-by-step explanation:

Leslie made $10. This means that you take 46-10=36

Chen-Chen made twice as much as David so 36/2=18 So Chen made $9.

David- 36-18= 18 So, David made 18 dollars.

In this mathematics problem, David, Chen, and Leslie together raised $46, with Leslie raising $10. Given that Chen raised twice as much as David, we can represent David's earnings as 'x' and Chen's as '2x'. By solving the resulting equation 3x = $36, we find that David raised $12.

To find out how much David made in the walk-a-thon, we need to break down the information given. We know that all three individuals together made $46, with Leslie making $10. So, David and Chen together made $46 - $10 = $36. But we are also told that Chen made twice as much as David. If we represent David's earnings as 'x', then Chen's earnings would be '2x'. Therefore, 2x (Chen's earnings) + x (David's earnings) equals $36.

Adding 2x and x gives 3x, so the equation to solve is 3x = $36. To solve for 'x', divide both sides of the equation by 3. This gives x = $36 / 3, so David's earnings, represented by 'x', is $12.

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Answer:

B. 12

Step-by-step explanation:

3/4 can be converted to something over 16. You have to multiply 4 x 4 to get to 16, so do the same with 3, and 3 x 4 is 12. Now the fraction/proportion is 12/16, so they will win 12 games.

Answer:

B

Step-by-step explanation:

3/4 of 16 is 12 set a relation 3/4 = x/16. 4 x 4 is 16 so multiply 3 x 4 and you get 12 or you can ask siri "what is 75 percent of 16"

Answer:

y = 19

Step-by-step explanation:

y = mx + b, where m is the slope and b is the y intercept. We dont know the y-intercept but we now the slope and a point so we can substitute these values in the equation and solve for b.

Solving for b we will end up with b = 11.

now we have the equation y= 2x + 11

we now that x = 4 , so we plug it in.

we will end up with y = 19.

Hope this helps

Final answer:

When the line with a slope of 2 that passes through (-3,5) reaches x = 4, the value of y is 19.

Explanation:

To find the value of y when the line passes through x = 4, we can use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. We know that the line passes through the point (-3, 5) and has a slope of 2. Plugging these values into the point-slope formula gives us:

y - 5 = 2(x - (-3))

y - 5 = 2(x + 3)

y - 5 = 2x + 6

y = 2x + 11

Now we can find the value of y when x = 4:

y = 2(4) + 11

y = 8 + 11

y = 19

Therefore, when the line passes through x = 4, the value of y is 19.

Answer: 8:15

Step-by-step explanation:

If she leaves at 7:50 and arrives to work 25 minutes later, then she will get there at 8:15.

Something easy you could use:

7:50 25

+ 10 -10

____ ___

8:00 15

+ 15 -15

____ ____

8:15 0

An equation is formed of two equal expressions. The distance between Traci and her home after 12 hours is 540 miles.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that the linear equation y=45x describes how far from home Traci is as she drives from San Francisco to Dawson. where x represents the number of hours and y represents the number of miles.

Therefore, the distance covered by Traci in 12 hours is,

y = 45x

y = 45(12)

y = 540 miles

Hence, the distance between Traci and her home after 12 hours is 540 miles.

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Answer:

A. Line segment

B. Ray

C. Line

D. Ray

Step-by-step explanation:

A line is a straight path of points that has no beginning or end.  

A line segment is a portion of a line that has two endpoints.

A ray is a portion of a line which has one endpoint and extends forever in one direction.

The following will be named as follows:

a. line segment GH

b. ray KL

c. line YZ

d. ray EF

Recall:

Therefore, the following will be named as follows:

a. line segment GH

b. ray KL

c. line YZ

d. ray EF

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Answer:

The GCF should be 9

Step-by-step explanation:

Answer:

232 square feet

Step-by-step explanation:

400x58%=232

Answer:

They can leave 7 ways.

Answer:

The answer is 105.        15 times 7.

You can only take 1 of 15 ways down and 1 of 7 doors out.

Step-by-step explanation:

Answer:

0.007

Step-by-step explanation:

Because even though there are zeros in front and can be placed in back the other numbers are more because they have numbers where 0.007 don't.

Answer:

As kyeracorley33 states: D. 0.007 should be the correct answer.

Answer:

B= -40

Step-by-step explanation:

So a right triangle has to = 180

So we write the given, which 124+99

we are trying to get 180 so lets subtract that by the equation, 180-124+99

180-(124+99)

12+99=223

180-223

=-43

But in your case it has to be rounded to the nearest tenth

So the answer is -40

Answer:

0.95

Step-by-step explanation:

The higher the probability, the higher the likelyhood it will happen.

.95>.75

Answer:

0.95

Step-by-step explanation:

Answer:

volume of cone= 1/3πr²h

1×3.14×5×5×11

3

863.5

3

287.83cm³

A polynomial is an expression involving addition, subtraction, multiplication, and non-negative integer exponents of variables. Among the options provided, only option C (x^2 + 2) is a polynomial. The correct answer is C.

To determine which of the given options is a polynomial, we need to understand what a polynomials are. A polynomial is an expression that consists of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Here are the given options:

Let's analyze each option:

Thus, the correct answer is option C, x^2 + 2.

Answer:

The answer is part B

Step-by-step explanation:

The equation given is y = 4500 - 450p

y is the no of demand units

p is the price

let price be 1 dollar.

Therefore,

y = 4500 - 450x1

y = 4050

Now, let the price be 2 dollars.

y = 4500 - 450x2

y = 3600

Subtract the two values and the answer is 450.

This means that for each dollar increased, the no of demand units falls by 450

Answer: A resident in the group who supports the tax is likely to be male

Step-by-step explanation:

Final answer:

The equation of the third rocket is likely referring to the Tsiolkovsky rocket equation Δv = ve · ln(mo/m), which calculates the change in velocity of a rocket by considering the expelled fuel mass, exhaust velocity, and the rocket's initial and final mass.

Explanation:

The equation of the third rocket is not explicitly provided in the question, but we can infer it relates to the Tsiolkovsky rocket equation which describes the motion of a rocket. This rocket equation is fundamental in understanding how rockets achieve motion through the expulsion of fuel mass at a high speed, thereby increasing their velocity. This change in velocity Δv is the result of the thrust imparted by the propellant's mass expulsion and is calculated using the equation: Δv = ve · ln(mo/m), where Δv is the change in velocity, ve is the effective exhaust velocity, mo is the initial total mass, and m is the final total mass of the rocket.

From the information provided, we can use the rocket's mass flow rate and the given velocity function to integrate and determine the rocket's position over time. When the thrust ends at t3 = 4.0 s, the position formula r(t) involves the integration of the velocity function, resulting in a function of time with an integration constant D.

The physical principle behind all rocket propulsion is Newton's third law of motion. The motion of the rocket is also described by factors such as the exhaust velocity, rate of fuel expulsion, and the total mass. To maximize acceleration, the non-fuel mass of the rocket must be minimized, enabling the spacecraft to achieve the necessary velocities for space missions.

Answer:counselor more than or equal to 10 hours

Baby sitting more than or equal to 30 hours

Step-by-step explanation: