Murray’s father deposited $6,000 of his savings into two accounts. One account earns 1.5 percent interest, and the other account earns 2.5 percent interest. At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account. Which system represents the amounts of money, x and y, that was put into each account? x + y = 6,000. 0.025 x + 0.015 y = 110. x + y = 6,000. 0.25 x + 0.15 y = 110. x + y = 6,000. 0.025 x minus 0.015 y = 110. x + y = 6,000. 2.5 x minus 1.5 y = 110.

Answer:

12

trust me it works i just took the test.

Answer:

There's two of them, of which are the 3rd and 5th option

Step-by-step explanation:

The formula for calculating a prism is length times width, times the height because it is a 3d object. Length times width is the same as B(base), so those two are the exact same. Don't let that fool you.

Here's a little abstract context:

You've got one loaf of bread right? Well, pretend it's 3 inches by 4 inches. You have one slice, one layer, with 12 inches squared as its area. To make it a loaf, you stack the layers up by multiplying that slice of bread by the value of h.

For question 7, the output from left to right is:

20, 30, 40,  50, 60

For question 9, the output from left to right is:

6, 12, 18, 24

Explanation:

Using the rule (10=d-b) we can just add 10 to the input.

The same thing results with #9. We just need to add 4 to the input so that in the end u(output)-g(input)=4.

Hope this helps!! <3

Answer:

Step-by-step explanation:

7. Rule: 10=d-b

20-10=10

30-10=20

40-10=30

50-10=40

60-10=50

9. Rule: u-g=4

6-2=4

12-4=8

18-4=14

24-4=20

HOPE THIS HELPS!!!!!:)

Answer:

C. Real numbers from 0 to 8

Step-by-step explanation:

Given:

The graph above

Required

Determine the domain of the graph

The first step is to get the range of the depth of the pond

[this is plotted along the y axis]

The highest plot on the y axis is 95 and the least is 0

The next is to determine the corresponding time for the value listed above

When y = 95, x = 0

When y = 0, x = 8

The domain is x: 0 to 8

From the list of given options, option C correctly answers the question.

Answer:

Once

Step-by-step explanation:

She needs 1 cup of milk.

She has a cup measuring cup.

Therefore she will only to fill the measuring cup to pour cup of milk.

Answer:

1

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

Policy 2

Step-by-step explanation:

I just took the test and got it right

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when rolling 1 die

1,2,3,4,5,6

There are 2 outcomes that fit the category of 2 or a 5

P ( rolling 2 or a 5) = number of 2's or 5's / total number of outcomes

                               = 2/6

                               =1/3

Answer:

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

Step-by-step explanation:

A fair dice has 6 outcomes, 1, 2, 3, 4, 5, 6.

The outcomes 2 and 5 are 2 outcomes out of total 6 outcomes.

[tex]\frac{2}{6}=\frac{1}{3}[/tex]

Answer:

z = 96; x = 8.

Step-by-step explanation:

z = 96. This is because the angle measuring z degrees is a vertical angle of the angle measuring 96 degrees, which means that the two angles are congruent.

The angle measuring 5x + 44 degrees forms a straight angle with the 96 degree angle. That means that the measurements of the two angles will add to be 180 degrees.

5x + 44 + 96 = 180

5x + 140 = 180

5x = 40

x = 8

Hope this helps!

The three lines drawn are at 90 degree angles, so are drawn perpendicular to the vertex.

This means point T is the orthocenter.

The answer is A

Answer:

Step-by-step explanation:

A region is said to be closed if it is completely

enclosed by its constraints

A region is said to be a closed area if it is completely enclosed by its constraints.

The space occupied by any two-dimensional figure in a plane is called the area. For example, the space occupied by the circle in a two-dimensional plane is called the area of the circle.

The area of the circle is given by the formula below:-

Area = πr²

Where r is the radius of the circle.

Therefore, the region is said to be a closed area if it is completely enclosed by its constraints.

To know more about an area follow

https://brainly.com/question/25292087

#SPJ2

Answer:

320

Step-by-step explanation:

0.83333333x384=319.9999999=320

Hi there, again! Hopefully this helps, again!

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Since she has 3 coats, 2 scarfs, and 1 glove:

She has 6 ways to choose a coat, a scarf, and a glove(s).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

My 6 combinations:

1.) Red coat, black scarf, white glove(s).

2.) White coat, grey scarf, white glove(s).

3.) Pink coat, black scarf, white glove(s).

4.) Red coat, grey scarf, white glove(s).

5.) White coat, black scarf, white glove(s).

6.) Pink coat, grey scarf, white glove(s).

Answer:

Step-by-step explanation:

Probability of getting any number less than 6 = 2/6 =1/3

So, It is unlikely

Answer:

2/6 or 1/3

Step-by-step explanation:

the two umbers less than 6 or 2 and 4. In total on the dice there is 6 numbers. so 2/6 is tha answer and then we spimlify

Answer:

Depends on the number.

Step-by-step explanation:

Answer:

The answer is geometric

Step-by-step explanation:

    To solve this problem you will need to know the difference between an arithmetic and a geometric.

    An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

    A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

    We can see in the sequence that the number that is being multiplied over and over again is 2 so the answer is a geometric sequence.

Answer:

add 10 on both sides

7<X

So X has to be bigger than 7

So 8,9,10, and 1000 can all be X.

Step-by-step explanation:

Answer:

7 < x

Step-by-step explanation:

the inequality is -3< x-10

any number that is greater than 7 can be a solution

Answer:

1. Factorization method

2. Formula method

3. Completing the square method

4. Graphical method

Step-by-step explanation:

There are four methods of solving quadratic equation:

1. Factorization method

2. Formula method

3. Completing the square method

4. Graphical method

1. Factorization method: Use factorization method when the quadratic equation can easily be factorize.

Example: x^2 - 4x - 12 = 0

(x-2)(x+6)

2. Formula method: This can be used when factoring the quadratic equation looks difficult or you are given instruction to use formula method

3. Completing the square method: Use completing the square method when you are instructed to do so.

4. Graphical method: This method is used when instructed to find x intercept.

Answer:

x=11.2

Step-by-step explanation:

Add the equations.

-10y=40

y=-4

input y

5x-8=48

5x=56

x=56/5

x=11.2

Answer:

x = 11.2 and y = -4

Step-by-step explanation:

Add the two equations

-5x -12y = -8

5x+2y = 48

-------------------

-10y = 40

Divide by -10

-10y/10 = 40/-10

y = -4

5x+2y = 48

5x +2(-4) = 48

5x -8 = 48

Add 8 to each side

5x = 56

Divide by 5

5x/5 = 56/5

x = 56/5

x =11.2

Answer:

The correct option is:

y - x = -4

Step-by-step explanation:

The graphed equation is:

y = x - 4

The equation which will have infinite number of solution should overlap the graphed equation at infinity points.

It is only possible when both the equations are exactly same.

Consider the line given:

y - x = -4

Rearrange the equation:

y = x - 4

Thus, it is the same as the first equation.

Verify for point (0,-4)

y - x = -4

-4 - 0 = -4

-4 = -4

Proved.

Verify for point (4,0)

y - x = -4

0 - 4 = -4

0 = -4+4

0 = 0

Proved

The correct option is (1). [tex]y-x= -4[/tex]

Given equation,

[tex]y = x - 4[/tex]

the line, [tex]y = x - 4[/tex] passes through the points (0, -4) and (4, 0).

Comparing with the general equation of a straight line,

[tex]y = mx + c[/tex] , where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.

The slope of the equation [tex]y = x - 4[/tex] is 1 and its The y-intercept is -4.

We know that,

Two equations will have an infinite number of solutions when they are on the same line, that is having the same slope and intercept.

Now we check for the slope and the intercept of the given options.

Option (1)  [tex]y - x = -4[/tex]

 [tex]y = x - 4[/tex]

Here the slope is 1 and y intercept is -4, which is the same as the given equation and both equations will have an infinite number of solutions.

Now option (2).

[tex]y - x = -2[/tex]

[tex]y=x-2[/tex]

The slope is 1 and y intercept is -2  

The slope is the same as the given equation but the intercept is different giving no solution.

Hence the correct option is (1). [tex]y-x= -4[/tex]

For more details follow the link:

https://brainly.com/question/11897796

Answer:

1.5

Step-by-step explanation:

Answer:

1) N5.00

2) N1.50

Step-by-step explanation:

1) 1/2+1/4+1/5=10/20+5/20+4/20=19/20=95%

That means the 4th girl received 5%.

25 is 5% of 500

500 Kobo is N5.00

2) He lost 55%, so they means he has 45% left.

67.5 is 45% of 150

(67.5/0.45=150)

150Kobo is N1.50

Answer:

B

Step-by-step explanation:

Sqaure roots can be rewritten as fractions.

The numerator will be rewritten as 6^(1/4)

The denominator will he written as 6^(1/5)

Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)

The denominator stays the same so you are left with 1/20 which is still the power over 6

6^1/20

Answer:

[tex]6^{\frac{1}{20} }[/tex]

Step-by-step explanation:

[tex]6^{\frac{1}{4} } /6^{\frac{1}{5} }[/tex]

1/4 - 1/5 = 1/20

Answer:

Amplitude = 3

Step-by-step explanation:

Given

The sine curve above

Required

Determine the amplitude

To determine the amplitude of a sine curve, we have to calculate the distance between the horizontal line of the curve and the top or bottom of the function

Using the top of the curve as a point of reference;

Amplitude = Top of curve - Horizontal Line.

The horizontal line is always at point 0

From the graph above, the top of the curve is at point 3

Hence,

Amplitude = 3 - 0

Amplitude = 3

Answer:

[tex]\huge\boxed{(2;\ 4)}[/tex]

Step-by-step explanation:

We have

[tex]y>-x^2+5[/tex]

Put the coordinates of the given points and check the inequality:

For (0; 5) → x = 0; y = 5

[tex]5>-0^2+5\\5>0+5\\5>5\qquad\bold{FALSE}[/tex]

For (2; 4) → x = 2, y = 4

[tex]4>-2^2+5\\4>-4+5\\4>1\qquad\bold{TRUE}[/tex]

For (1; 3) → x = 1, y = 3

[tex]3>1^2+5\\3>1+5\\3>6\qquad\bold{FALSE}[/tex]

Answer:

y>-x²+5

taking(0, 5)

5>-0²+5

5>5 false

taking 2,4

4>-2²+5

4>-4+5

4>1 true

taking 1,3

3>-1²+5

3>6false

so 2,4 is your answer

Answer:

[tex]a_{n}[/tex] = 10.5 - 3n

Step-by-step explanation:

The explicit rule for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

A recursive formula has the form

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d ( where d is the common difference )

Given

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 ⇒ d = - 3

Thus explicit rule with a₁ = 7.5 and d = - 3

[tex]a_{n}[/tex] = 7.5 - 3(n - 1) = 7.5 - 3n + 3 = 10.5 - 3n

Answer:

1st) Surface Area = 178.7 cm²

Volume = 105 cm³

2nd) Surface Area = 51 m²

Volume = 15 m³

Step-by-step explanation:

1st) 1/2x2.5x7=8.75 (2 of these - one on each end)

7x12=42

12x2.5=30

12x7.433=89.20

S.A=8.75+8.75+42+30+89.2=178.7

Volume=8.75x12=105

2nd) 1/2x3x2=3 (two of these - one on each end)

5x4=20

5x3=15

5x2=10

S.A.=3+3+20+15+10=51

Volume = 3x5=15

Answer:

(Picture below)

Step-by-step explanation:

To solve this you will first need to make a coordinate plane that is 10 by 10.

After you have done that you will need to know what slope intercept form is. Slope intercept form is [tex]y=mx+b[/tex] and the equation that was given was [tex]y=-x-6[/tex]. In the formula [tex]y=mx+b[/tex], [tex]m[/tex] is the slope or rise over run and b is where the line crosses the y axis.

Now that you know the basics of slope intercept form we can start graphing. so b in this equation is -6, so we will put the first point on -6. after we have done that we can start putting the points of the line. So since the slope is just -1x  we will have to go down one and go to the right one about 3 times and just to finish it up go up and left on 3 times to. And there you have it.

SSS = side side side, basically it says that if we have three pairs of congruent corresponding sides, then we have enough information to prove the triangles congruent. The first two pairs of sides are visually shown by the tickmarks. The third pair of sides is LK = XZ as found by the pythagorean theorem. The pythagorean theorem only works for right triangles.

Answer:

10 kilograms

Step-by-step explanation:

The mean of any data set is all the numbers added up divided by the amount of points.

[tex]3+2+26+9=40\\40\div4 = 10[/tex]

Hope this helped!

Answer:

10

Step-by-step explanation:

The mean is another word for average.  Add up all the numbers and divide by the number of terms

( 3+2+26+9) /4

40 /4

10

The mean is 10