How much interest is earned in four years on a deposit of 10,000 if it is allowed to accumulate in an account paying 7% interest compounded annually

The system of equations has a solution at (9, 7), which is an option (b).

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

The given equations are:

3x-3y=6

6x-7y=5

Multiply the first equation by 2 to get rid of the coefficient of x in the second equation:

6x - 6y = 12

6x - 7y = 5

Subtract the first equation from the second equation to eliminate x:

0x - y = -7

y = 7

Substitute y = 7 into one of the original equations and solve for x:

3x - 3y = 6

3x - 3(7) = 6

3x - 21 = 6

3x = 27

x = 9

Therefore, the solution to the system of equations is (9, 7), which corresponds to option (b).

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The area of the second garden is 96 square feet.

Let's denote the length of the second garden as l (since it's half the length of the first garden) and the width of the second garden as w.

Given:

Length of the first garden [tex](\(L_1\))[/tex]= 8 feet

Width of the first garden [tex](\(W_1\))[/tex] = 6 feet

Length of the second garden [tex](\(l\)) = \(L_1/2\) = \(8/2 = 4\)[/tex]  feet

Area of the first garden [tex](\(A_1\)) = \(L_1 \times W_1\) = \(8 \times 6 = 48\)[/tex] square feet

We are given that the area of the second garden [tex](\(A_2\))[/tex] is twice the area of the first garden:

[tex]\[A_2 = 2 \times A_1 = 2 \times 48 = 96\][/tex] square feet

Surface area is the area you get from a shape's net.

A net is an unfolded 3rd shape.

To find the surface area you use the equation A = 2xπrh + 2πr²

The answer would be 659.73 cm²

Hope this helps have a wonderful day!

The length of the garden will be 8 feet.

It should be noted that the area of a square is gotten by multiplying its lengths together. For example, the area of a square with length of 2cm will be: = 2 × 2 = 4cm²

Therefore, since the square garden has an area of 64 square feet, the length of the garden will be:

= ✓64

= 8 feet

Therefore, the length is 8 feet.

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The total cost of Parker's college tuition, rounded to the nearest dollar, is $17,952.

If Parker was able to pay for 44% of his total college tuition with his scholarship, this means that the $10,054.52, which he paid using his student loan, represents the remaining 56% of his tuition cost. Therefore, to find the total cost of tuition, we need to divide the amount he paid with a loan by 0.56. Performing this calculation gives us:

$10,054.52 / 0.56 = $17,952.00

Therefore, the total cost of Parker's tuition rounded to the nearest dollar is $17,952.

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Answer:

80° and 100 °

Step-by-step explanation:

The total of the two angles is 180°, and one angle is 20° smaller than the other, so the equation would be x+x-20°=180°, then all you need to do is find x, and x-20°.

DONT FORGET TO WRITE THE DEGREE SYMBOL OR IT WILL BE COUNTED AS INCORRECT!!!

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The expression equal to the rational expression is 3/(x + 6)

from the question, we have the following parameters that can be used in our computation:

3(x + 2)/(x + 6)(x + 2)

Divide the fraction by x + 2

So, we have

3(x + 2)/(x + 6)(x + 2) = 3/(x + 6)

Hence, the value of the rational expression is 3/(x + 6)

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11/18 probability

90 apartments total

35/90=

11/18

Answer:

Thanks

Step-by-step explanation:

This person is correct peeps :DD

Answer:

[tex]d = \sqrt{65}\text{ units}[/tex]

Step-by-step explanation:

Let [tex](x_1,x_2)[/tex] and [tex](y_1, y_2)[/tex] be the two points.

We have to find the distance between the two points.

The distance Formula:

[tex]d = \sqrt{(x_1 - y_1)^2 + (x_2 - y_2)^2}[/tex]

Here, we are given [tex](x_1,x_2)[/tex] = (5,1) and  [tex](y_1, y_2)[/tex]  = (9,-6)

Then, the distance between these two points is given by:

[tex]d = \sqrt{(5 - 9)^2 + (1- (-6))^2}[/tex]

[tex]d = \sqrt{(-4)^2 + (7)^2}[/tex]

[tex]d = \sqrt{16 + 49}[/tex]

[tex]d = \sqrt{65}[/tex]

Thus, the distance between the given point is [tex]\sqrt{65}\text{ units}[/tex].

Final answer:

Email was invented 26 years after the completion of the first recognized computer in 1945.

Explanation:

The first computer is often attributed to the work carried out during World War II, with machines like ENIAC, completed in 1945, incorporating vacuum tubes and filling entire rooms. However, the question references a machine called ROACH, which seems to be a typo or a misunderstanding; we usually refer to ENIAC as one of the first computers. Email, on the other hand, was invented in 1971 by Ray Tomlinson. Calculating the difference between the years when the first computer was completed and when email was invented gives us the number of years it took for email to be developed after the advent of the computer.

To find this, we subtract the year the first computer was completed, 1945, from the year email was invented, 1971:

Email was invented 26 years after the completion of the first computer.

The probability of randomly picking a cracked white egg from a basket of white and brown eggs is calculated by dividing the number of cracked white eggs (half of the total white eggs) by the total number of eggs. However, specific numbers for the number of white and brown eggs are needed for an exact answer.

In order to answer this question, we need to know the number of white eggs and brown eggs in the basket. However, assuming that there are 'w' white eggs and 'b' brown eggs in the basket, and half of the white eggs are cracked, the probability of randomly picking a cracked white egg would be calculated by dividing the number of cracked white eggs by the total number of eggs. Therefore, if 'w' over 2 represents cracked white eggs, the probability would be (w/2) / (w + b).

For example, if the basket had 10 white eggs and 20 brown eggs, and half the white eggs are cracked. There would be 5 cracked white eggs. Hence, the probability of picking a cracked white egg would be calculated as: (5 / (10 + 20)), which equals to 1/6.

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