Evaluate 3x-4 when x=7

Answer:

$15,000 was invested in CDs.

$40,000 was invested in bonds.

$75,000 was invested in stocks.

Step-by-step explanation:

Let C be the amount invested for CDs, B be the amount invested for bonds, and S be the amount invested for stocks.

We know that the total amount invested must be $130,000 because that was the amount given to the Scholarship Fund. So:

[tex]C+B+S=130000[/tex]

We know that CDs pay 2% or 0.02 interest; Bonds pay 2.9% or 0.029 interest; and Stocks pay 9.9% or 0.099 interest. In total, the investment earned $8,885. So:

[tex]0.02C+0.029B+0.099S=8885[/tex]

Let's remove the decimals by multiplying everything by 1000. This yields:

[tex]20C+29B+99S=8885000[/tex]

Now, we know that $25000 more was invested in bonds than CDs. So:

[tex]B=25000+C[/tex]

We have a triple system of equations. We can solve this using substitution. Let's substitute our third equation into the second equation. This yields:

[tex]20C+29(25000+C)+99S=8885000[/tex]

We want to isolate the C variable. Here, we removed the B but we still have an S.

So, to remove the S, we can go back to our first equation. We have:

[tex]C+B+S=13000[/tex]

Subtract C and B from both sides:

[tex]S=130000-C-B[/tex]

We can now substitute this for S:

[tex]20C+29(25000+C)+99(130000-C-B)=8885000[/tex]

We got a B again. But, we already know what B is. Substitute:

[tex]20C+29(25000+C)+99(130000-C-((25000)+C))=8885000[/tex]

So, our equation is now in terms of C. Solve for C. Distribute on the far right:

[tex]20C+29(25000+C)+99(130000-C-25000-C)=8885000[/tex]

Combine like terms:

[tex]20C+29(25000+C)+99(105000-2C)=8885000[/tex]

Distributive Property:

[tex]20C+725000+29C+10395000-198C=8885000[/tex]

Combine like terms:

[tex](20C+29C-198C)+(725000+10395000)=8885000[/tex]

Add:

[tex]-149C+11120000=8885000[/tex]

Subtract 1112000 from both sides:

[tex]-149C=-2235000[/tex]

Divide both sides by -149:

[tex]C=15000[/tex]

So, a total of $15,000 was invested in CDs.

Since $25,000 more was invested in bonds than in CDs, this means that a total of $25000+$15000 or $40,000 was invested in bonds.

To find out how much was invested in stocks, we can use our first equation again:

[tex]C+B+S=130000[/tex]

Substitute 15000 for C and 40000 for B:

[tex]15000+40000+S=130000[/tex]

Add:

[tex]55000+S=130000[/tex]

Subtract 55000 from both sides:

[tex]S=\$75000[/tex]

So, $15,000 was invested in CDs, $40,000 was invested in bonds, and $75,000 was invested in stocks.

And we're done!

Answer:

$15,000 was invested in CDs.

$40,000 was invested in bonds.

$75,000 was invested in stocks.

Step-by-step explanation:

Answer:  y= -2x - 500  

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts. This means that the line parallel to y=-2x + 3 will have the same slope which is -2.

We will input the x and y coordinates for the given point into the formula and solve for the y-intercept to write the equation.

-100 = -2(-100) + b      where b is the y-intercept

-100 = 400 + b

-400  -400  

b = -500  

The y intercept is -500 and the slope is -2 therefore, the equation will be  

 y= -2x - 500

c.) 1/2³ i got it right on assignment

Answer:  Possibly, 105 cm³ if it is a triangular prism,  or

Possibly 210 cm³ if it is a rectangular prism

Step-by-step explanation: Without knowing exactly what kind of prism it is, it is impossible to give an exact answer.

If the bases are triangles with altitude and and base of 5 and 6, anf the height of the prism is 7, the volume is

(6×5)/2 × 7

30/2 ×7

15 × 7 = 105 cm³ for a triangular prism

If the bases are rectangles with length and and width of 6 and 5, and the height of the prism is 7, the volume is

6×5×7 = 210 cm³ for a rectangular prism

Answer:

Round

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

A and C

Thank you

The  logos have more than one line of symmetry are Option(c) and Option (1)

A line of symmetry is a line that cuts a shape exactly in half. This means that if you were to fold the shape along the line, both halves would match exactly. Equally, if you were to place a mirror along the line, the shape would remain unchanged. A square has 4 lines of symmetry, as shown below.

According to the question

Logos have more than one line of symmetry

are option A and Option C

As in Option A if we cuts the shape exactly in half along lines marked in circle

There half will be same

so , there are 3 lines of symmetry in option A.

Now, In option 4

if we cuts the shape exactly in half along the middle of  horizonal and vertical side of square figure

There half will be same

So , there are 2 lines of symmetry in option C.

Hence, The  logos have more than one line of symmetry are Option(c) and Option (1) .

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Answer:

x>$25000

Step-by-step explanation:

Answer:

600 × .8 = 480

480 Students

Answer:

b

Step-by-step explanation:

the point-slope form of the equation is equal to

The number of yards Martin needs to rope off the perimeter of the garden is: 320 yards.

Perimeter of any figure is the total length of the surrounding of the figure or shape.

Given:

A unit on the grid = 10 yards

From the diagram given, the figure is surrounded by 32 units

Thus:

Perimeter of the garden = 32 units × 10 = 320 yards.

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Answer:

2:3

12:18

18:27

Step-by-step explanation:

Answer:

In order to get equivalent ratios, we can just multiply by a factor! Lets use the factors of 2, 3, 4.

So we have:

[tex]2 * \frac{6}{9}=\frac{2*6}{2*9}=\frac{12}{18}[/tex]

As well as:

[tex]3 * \frac{6}{9}=\frac{3*6}{3*9}=\frac{18}{27}[/tex]

And finally:

[tex]4 * \frac{6}{9}=\frac{4*6}{4*9}=\frac{24}{36}[/tex]

Answer:

a) 20

b) ab

Step-by-step explanation:

[tex]a.\\\\\frac{9}{5}=\frac{36}{x}\\\\x\cdot 9=36\cdot 5\\\\x=\frac{36\cdot5}{9}\\\\x=4\cdot 5\\\\x=20[/tex]

[tex]b.\\\\\frac{a}{6b}=\frac{y}{6b^2}\\\\\frac{6b^2\cdot a}{6b}=y\\\\y=b\cdot a\\\\y=ab[/tex]

Answer:

SPLEASE HELP WORTH 40 POINTS! ANSWER QUICK PLEASEEE

(a) Does each triangle have the same change in x-values? Explain.

(b) Does each triangle have the same change in y-values? Explain.

(c) Does each triangle have the same ratio of change in y-values over change in x-values? Explain

tep-by-step explanation:

The partial products of 73 x 8 is = 584

The partial products algorithm allows students to multiply two long numbers fast and easily by breaking down a more challenging product into a series of simpler problems.

(70 +3 ) * (8)

= 70 x 8  = 560 and ;

= 3 x 8 =  24

Step 2 - Add all the products together

560 + 24 = 584

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Answer:

It is a proper fraction

Step-by-step explanation:

Answer:

-|7-2x|+11= -8

x=-6 0r x=13

9-7|-x-3|= -61

x=-13 or x=7

13|-2x+1|-10=159

x=-6 or x=7

Step-by-step explanation:

-|7-2x|+11= -8

-|7-2x|=-8-11

either :

7-2x=-19

-2x=-19-7

x=-26/2

x=13

Or: 7-2x=19

-2x=19-7

-2x=12

x=-12/2

x= - 6

9−7(|−x−3|)=−61

−7(|−x−3|)=−61-9

−7(|−x−3|)=−70

|-x-3|=-70/-7

|-x-3|=10

either :

-x-3=10         or -x-3=-10

-x=13                   -x=-7

x=-13                    x=7

13|-2x+1|=159+10

13|-2x+1|=169

|-2x+1|=169/13

|-2x+1|=13

either                                          or

-2x+1=-13                                     -2x+1=13

-2x=-14                                        -2x=12

x=-14/-2                                        x=12/-2

x=7                                               x=-6

Answer:

48

Step-by-step explanation:

If Bao eats 12 chicken wings in 3 minutes than that will help us find the unit rate by dividing 12 by 3, and then you will get 4. Now that you know the unit rate you will multiply it by 12 and get 48.

Answer:

For this we have to do simple division and multiplication, giving us the answer of 48.

Step-by-step explanation:

The easiest way to solve this is to first divide 12 by 3, giving us 4, the amount of time it would take for Bao to eat a single chicken nugget. And then since the question asks how many Bao can eat in 12 minutes, you would multiply 4 by 12, thus giving you the answer of 48.

Answer:

ZDM is not a name for the angle, 6 square units is the area, A the cylindar, 26 degrees

Step-by-step explanation:

Area of triangle is 1/2 base x height

116-90 = 26 degrees to angle ABC

Answer:

Diego would need to sell 80 tickets.

Step-by-step explanation:

Divide 140 by 1.75 to get your answer. To double-check multiply 1.75 by 80, and you should get 140.

Answer:

Diego would sell 80 tickets.

Step-by-step explanation:

are you in statistics because I took it and I'm good at it. pet me see if I can figure it out. give me a minute

Answer:

1st - $92

2nd - $72

3ed - $36

Step-by-step explanation:

save 20 dollars for first place, because they are going to get that no matter what.

200 - 20 = 180

we'll need to divide 180 into 5 parts, one for 3ed place, two each for 1st and second.

180 / 5 = 36

3ed place gets $36

2nd gets twice that, $72

1st gets the same as 2nd +$20, so $92

to check our answer, add up all their profit and make sure it's 200 even.

Answer:

122 Degrees

Step-by-step explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1)  + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

angle 1 + 2*angle 1 + 6 = 180

3*angle 1 = 174

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

angle 2 + 58 = 180

angle 2  = 122 degrees

Therefore, the measure of angle 2 is 122 degrees

Answer:

-1x + y  

Where x = number of plain chips and y = number of striped chips.

Step-by-step explanation:

NOTE: if an image was giving with this question please attach the image to get a more simplified answer.

Answer:

22 Hours

Step-by-step explanation:

26400/20 = 1320m

1320m = 22h

22 Hours

Answer:

After simplifying, the first step in solving an equation with a variable on both sides is to Get The Variable On One Side. This is done by reversing the addition or subtraction of one of the terms with the variable. In other words, we must add to both sides or subtract from both sides one of the quantities that contains the variable. It is generally easier to add or to subtract the smaller quantity from the larger quantity, so we are working with positive coefficients, but either way works

Answer:

42

Step-by-step explanation:

First you subtract 93 by 9. You get 84. Then you divide it by 2. Which is your answer, 42.

This can be represented as:

93=2x+9

First subtract 9 from both sides

84=2x

Then divide by 2 on both sides

42=x

Answer:

x = 3

Step-by-step explanation:

8(x+2) = 40

8x + 16 = 40

8x = 24

x = 3

Answer:

A is the correct answer

Step-by-step explanation:

Hoped this helped :)

Answer: im positive its A me and my class did this at school

Step-by-step explanation:

Answer:

x - ($32 + $15); or x - $32 + $15

Step-by-step explanation:

Spending on the purse and a CD means less cash then the starting amount, x.

Answer:

$32+ $15=$47

Step-by-step explanation: