Can someone help me with this? This is my summer school work, i'm failing miserably and I don't understand this at all.

Answer:

money invested at 3% is $4000

Step-by-step explanation:

let the money invested in 3% account be x

then money invested in 5% account = 6000 - x

we know interest = p*r*t/100

p is the principle amount invested

here t = 1 year

interest on 3% money

interest= x*3*1/100 = 3x/100

interest on 5% money

interest= (6000-x)*5*1/100

Total interest earned on both the account

3x/100 + 5(6000-x)/100 = (3x + 30,000 - 5x)/100 =( 30000-2x)/100

given that total interest earned = $220

thus

( 30000-2x)/100 = 220

=> 30000-2x = 220*100= 22,000

=> -2x = 22,000- 30,000

=> x = -8000/-2 = 4000

Thus, money invested at 3% = x = $4000

Answer:)

$4000

Step-by-step explanation:

Step-by-step explanation:

Given.

[tex]3x+5y=3[/tex]

[tex]x+2y=0[/tex]

Take the second equation and subtract 2y to both sides.

[tex](x+2y)-2y=0-2y[/tex]

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

Substitute x into the first equation and simplify.

[tex]3x+5y=3[/tex]

[tex]3(-2y)+5y=3[/tex]

[tex]-6y+5y=3[/tex]

[tex]-y=3[/tex]

Invert.

[tex]y=-3[/tex]

Substitute Y into your second equation.

[tex]x+2y=0[/tex]

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

[tex]x-6=0[/tex]

Add -6 to both sides.

[tex](x-6)+6=0+6[/tex]

[tex]x=6[/tex]

Answer:

(6, -3)

Answer:

(6,-3)

Step-by-step explanation:

Got it right on the test

Hope this helps :)

Answer:

Option C, i.e., point B.

Step-by-step explanation:

The given system of inequalities is

[tex]y>-2x+10[/tex]     ...(1)

[tex]y>\dfrac{1}{2}x-2[/tex]     ...(2)

If a point is a solution of given system of inequalities, then the both inequalities must be satisfy by the point.  

From the given graph it is clear that coordinates of point E are (4,-2).

Put x=4 and y=-2 in (1).

[tex]-2>-2(4)+10\Rightarrow -2>2[/tex] False.

From the given graph it is clear that coordinates of point K are (2,3).

Put x=2 and y=3 in (1).

[tex]3>-2(2)+10\Rightarrow 3>6[/tex] False.

From the given graph it is clear that coordinates of point B are (4,7).

Put x=4 and y=7 in (1).

[tex]7>-2(4)+10\Rightarrow 7>2[/tex] True.

Put x=4 and y=7 in (2).

[tex]7>\dfrac{1}{2}(4)-2\Rightarrow 7>0[/tex] True.

Since both inequalities are true for B(4,7), therefore point B is the solution.

From the given graph it is clear that coordinates of point D are (-7,1).

Put x=-7 and y=1 in (1).

[tex]1>-2(-7)+10\Rightarrow 1>24[/tex] False.

Since the given inequalities are false for points E, K and D, therefore they are not the solution.

Answer:

The total number of books is 1020.

Step-by-step explanation:

Denote the books by their first letter.

From the provided information:

Compute the expression of T as follows:

[tex]H = A-80\\\\\frac{1}{5}T=A-80\\\\T=5A-400...(i)[/tex]

Compute the value of C in terms of A:

[tex]C=\frac{1}{4}T\\\\C=\frac{1}{4}\times {5A-400}\\\\C=\frac{5}{4}A-100...(ii)[/tex]

Compute the value of A as follows:

Use expressions (i) and (ii):

[tex]T=S+C+H+A\\\\5A-400=\frac{3}{4}A+\frac{5}{4}A-100+A-80+A\\\\5A-400=4A-180\\\\A=220[/tex]

Compute the value of T as follows:

[tex]T=5A-80\\\\T=(5\times 220)-80\\\\T=1100-80\\\\T=1020[/tex]

Thus, the total number of books is 1020.

Answer:

3) (x – 2)^2 + (y + 1)^2 = 16

Step-by-step explanation:

Equation of circle:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center, and r is the radius.

From the graph, we see the center is at (2, -1), so h = 2, and h = -1.

The radius is 4, so r = 4.

The equation is

(x - 2)^2 + (h - (-1))^2 = 4^2

(x - 2)^2 + (h + 1)^2 = 16

Answer:

Option (2)

Step-by-step explanation:

This question is incomplete; find the picture attached which makes this question complete.

Vertices of the given triangle are A(-2, -4), B(2, -1) and C(3, -4).

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

AB = [tex]\sqrt{(2+2)^2+(-1+4)^2}[/tex]

     = [tex]\sqrt{16+9}[/tex]

     = 5 units

Since AB = AC

AC = 5 units

Similarly, BC = [tex]\sqrt{(3-2)^2+(-4+1)^2}[/tex]

BC = [tex]\sqrt{10}[/tex] units

Therefore, perimeter of the given triangle = AB + AC + BC

                                                                      = 5 + 5 + √10

                                                                      = (10 + √10) units

Option (2) will be the answer.

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I remember when I had this question

Answer:

-9ab3a3b-52

Step-by-step explanation:

-8a3b+3a2b2-52+5a2b3a3b+7-9a2b2

-8a3b-6a-52+5a2b3a3b

-14a3b-52+5a2b3a3b

-9ab3a3b-52

Answer:170

Step-by-step explanation:

122+24+24=170

Answer:

True

Step-by-step explanation:

A chord of a circle is a straight line segment whose endpoints both lie on the circle.

Vertical Angles are the angles opposite each other when two lines cross.

Any intersecting segments (chords or not) form a pair of congruent, vertical angles.

Answer:

The independent variable is the depth below the surface of the lake the dependent is the tempeature of the water

Step-by-step explanation:

Tempeture = depth x

Answer:

Answer is x= 15

Step-by-step explanation:

(3x+18)+(8x-3)=180

11x+15=180

11x=165

x=15

Answer:

x=15 degrees

Step-by-step explanation:

The given triangle is isosceles, so both base angles are both (3x+18).

We also know that angles on a line add up to 180 degrees, so

(3x+18) + (8x-3) = 180 degrees

Simplify

11x + 15 = 180 degrees

11x = 180-15 = 165

Divide by coefficient on left-hand side

x = 165/11 = 15 degrees.

Answer:

2. 4t

3. 6 + n

4. 6w

5. d - 7

6. 62 + h

7. 20 - y

8. z/4

9. 20 - s

10. 3/5

11. 4s

12. u + v

**essentially in all these problems you have to determine the operation that fits each scenario and identify the constant vs. the unknown value. The unknown value is represented by a variable (a, x, y, z, t, d, etc.) and the constant is the given number.**

2. if you buy four packs of pencil with an unknown but same amount in each pack, then you have 4t. 4 TIMES the unknown amount equals the total.

3. you start with 6, your constant and then you ADD the number of pens your friend gave, but you don't know so you replace with the stated variable, n. 6 + n is the answer.

4. Each bag has six apples but you don't know how many bags you bought so if we replace this with the variable w. 6w (the constant always comes before the variable even though w6 = 6w) For example if you bought 2 bags, 6 x 2 = 12, a total of 12 apples.

5.  you start with chocolates, but we don't know the number. you eat seven of them, that means from the total number we are "missing" seven. therefore d - 7 accurately describes the scenario.

6. the constant is 62, and we are increasing by something, but we don't know what it is: 62 + h

7. we start with 20 balloons, then we lose an unknown number: 20 - y. We have to SUBTRACT from the total because we "lost".

8. we have an unknown number of fish in an aquarium but we are sure that 1/4 OF that number make up the angelfish population. The word "of" means multiply in mathematical terms so z • 1/4 OR z/4.

9. we have 20 marbles total. out of that number an unknown but represented value are red, "s". the rest are blue. So we will imaginarily take out all the red marbles. This action is SUBTRACTING "s" from 20 and we have only ___ amount of blue marbles left. Therefore the answer is 20 - s.

10. 2/5 OF the class are boys. The remainder are girls. What is 5/5 - 2/5? 3/5. This is the TRICK QUESTION!!

11. A car has 4 wheels each therefore 4 TIMES the total number of cars is the right equation. 4s.

12. If you start with an unknown amount of toys, "u", and you get an unknown amount more, "v", you are adding to your collection therefore the answer is u + v.

Hope these explanations help! There really isn't much more to the concept.

Answer:

The answer is 19

Step-by-step explanation:

I am not good at explainig at all and im not sure how to explain but I had this question

Cecilia is 19 m behind the Arman.

Arman, Babken, and Cecilia decided to compete in a 100m run.
When Arman crossed the finish line, Babken was 10m behind him.
When Babken crossed the finish line, Cecilia was 10m behind him.

percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.

Here,
When Babken is 10m behind the Arman, distance covered by babken is 90 m. Cecilia is 10 m behind when Babken cross the finish line implies Cecilia cover 90% of Babken covered distance.
So Cecilia covers 90% of Babken covered distance when Arman crossed finish line.

As arman crossed finish line Cecilia is at  = 90% of run covered by babken, 
= 90 * 90/100
= 81
Now, Cecilia behind Arman when he crossed the finish line = 100-81
=19

Thus, Cecilia is 19 m behind the Arman.

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Hey there! :)

Answer:

21 minutes.

Step-by-step explanation:

Begin by calculating the number of 12 hour periods in a week.

Each day contains two 12 hour periods. (24 hours/12 = 2)

There are 7 days in a week, therefore:

2 × 7 = 14 times the watch will lose minutes.

Multiply to find the total number of minutes lost:

14 × 1.5 = 21 minutes.

Answer:

21 minutes

Step-by-step explanation:

There are 24 hours in one day, and 7 days per week.  Thus there are

(24)(7), or 168, hours in one week, or 14 - 12-hour periods.

Thus, we multiply 14 - 12-hr periods to answer this question:

1.5 minutes / 14 - 12-hour periods)= 21 minutes will be lost in one week.

The range of the curve is from -6 to 10, i.e. -6 ≤ y ≤ 10.

Given is a graph of a curve having endpoints at (-10, -6) and (0, 10), we need to find its range.

To find the range of a curve, we need to determine the set of all possible y-values that the curve can attain.

In this case, we have the endpoints of the curve as (-10, -6) and (0, 10).

The range of the curve is the set of all possible y-values. To find it, we need to identify the minimum and maximum y-values.

The minimum y-value can be found at the lowest point of the curve. From the given endpoints, we can see that the lowest point lies at (-10, -6).

The maximum y-value can be found at the highest point of the curve. From the given endpoints, we can see that the highest point lies at (0, 10).

Therefore, the range of the curve is from -6 to 10, inclusive: [-6, 10].

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Answer:

Step-by-step explanation:

Answer:

1. B

2.B

3. B

4. B

Step-by-step explanation:

Answer:

The area of a triangle is base * height / 2. In this case that is:

3 * (2x - 4) / 2 = 3 * 2(x - 2) / 2 = 3 * (x - 2) = 3x - 6 in²

Answer:

3x-6 inches^2

Step-by-step explanation:

[tex]A =\frac{ (a \times b)}{2} \\A =\frac{(3(2x-4))}{2} \\A = \frac{(6x -12)}{2} \\\\Area = (3x-6)^2 inches[/tex]

Answer:

n^2/(n + 5)

Step-by-step explanation:

The numerators are 1^2, 2^2, 3^2, 4^2, etc.

The denominators are 6, 7, 8, 9, etc.

The nth numerator is n^2.

The nth denominator is n + 5.

Answer: n^2/(n + 5)

It will be a negative.

for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11

-2(2) + 1 = -3

but that's only 8 apart, so it'd be higher.

-4(2) + 1 = -7

-4(8) + 5 = -27

BOOM

Tadaaaa,

You probably thought positive, but sometimes it's negative, you know what I mean?

Answer:

5^5

Step-by-step explanation:

Answer:

y = -4

Step-by-step explanation:

x = 3 is a vertical line.

The perpendicular line passes through (0, -4) (x, y)

y = -4

The line is perpendicular, so the line should be also horizontal.

Answer:

y = -4

Step-by-step explanation:

The line x = 3 is a vertical one; any line perpendicular to x = 3 is a horizontal line (which has a zero slope).  

Thus, the desired line is a horizontal one that passes through (0, -4) and is represented by y = -4.

Answer:

y = 3/4x + 17/4

Step-by-step explanation:

Step 1: Find slope m

m = (5 - 2)/(1 + 3)

m = 3/4

y = 3/4x + b

Step 2: Find b

5 = 3/4(1) + b

5 = 3/4 + b

b = 17/4

Step 3: Rewrite equation

y = 3/4x + 17/4

Answer:

y = 3/4x + 17/9

Step-by-step explanation:

Find the slope:

5 - 2/ 1 - (- 3)

3/ 1 + 4

3/4

Find the y-intercept:

2 = 3/4(-3) + b

2 = -9/4 + b

17/4 = b

Put it in an equation:

y = 3/4x + 17/9

We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.

Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.

x - 1 = 0 gives us x = 1.

x + 1 = 0 --> x = -1.

x - 4 = 0 --> x = 4.

x + 3 = 0 --> x = -3.

our roots are x = 1, -1, 4, and -3.

Answer:

t

Step-by-step explanation:

The letter that comes next in the given sequence is K.

The given sequence is F H K N Z.

We need to find which letter comes next in the given sequence.

The pattern followed by the given sequence is they are letters of sounding board consonants.

Therefore, the letter that comes next in the given sequence is K.

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Answer:

L: y= -4x + 17

Step-by-step explanation:

For a line L to pass through two points, we use the slope formula to calculate the slope, m, where

m = (y2-y1) / (x2-x1)

= (9-1) / (2-4)

= 8 / -2

= -4

Next we use the point slope form to find the line equation:

L: (y-y1) = m (x-x1)

substitute (x1,y1) = (4,1)

L: y-1 = -4 (x-4)

Simplify:

L: y = -4x + 16 + 1

L: y= -4x + 17

Check: substitute (4,1)

y = -4(4)+17 = 1  checks

substitute (2,9)

y = -4(2)+17 = 9 checks

so

L: y= -4x + 17

Answer:

y is equal to 5 and x is equal to 11