The Rodriguez Family is starting to save 15% of their income per month for college savings for their children. They earn $8,540 per month. How much will the Rodriguez family save each month for future college expenses?

Answer:

13.75

Step-by-step explanation:

Answer:

The value of m is 1000 for r=5

Step-by-step explanation:

Given that m is proportional to the cube of r

It can be written as:

[tex]m \propto\ r^3[/tex]

When the proportionality symbol is removed a proportionality constant is introduced in the equation.

Let k be the proportionality constant

[tex]m = kr^3[/tex]

Given

r=3,m=216

Putting the values

[tex]216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8[/tex]

The equation will now become

[tex]m = 8r^3[/tex]

Putting r = 5

[tex]m = 8(5)^3\\m = 8 * 125\\m = 1000[/tex]

Hence,

The value of m is 1000 for r=5

Answer:

473 rounded to the nearest hundredth, would be 400.

Step-by-step explanation:

9x² - 36x + 16

= (Ax - B)² = A²x² - 2ABx + B².

By Comparing Coefficients, we have:

A² = 9,

2AB = 36,

B² = 16.

It is obvious that A = 3 and B = 4.

However 2AB = 2(3)(4) = 24 which is not equal to 36.

Hence 9x² - 36x + 16 is not a perfect square trinomial.

Answer:

False

Step-by-step explanation:

The polynomial cannot be factored.

Answer:AlF3

Step-by-step explanation:

Answer: -18

Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18

Answer:

o,1

Step-by-step explanation:

Answer:

C or D

dont get me wrong here im the wrong bc this is bassicly taking ur points but it c i think but d is still a good opition I think c

Answer:

irrational

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Grant can purchase 7 baseball card packs for $21. 12/4=3 and 21/3=7.

Answer: 7

Step-by-step explanation:

Answer:

7 packs

Step-by-step explanation:

12/4 = $3 ea.

21/3 = 7 packs

Answer:

[tex]y = -6[/tex]

Step-by-step explanation:

Given

[tex]y = -7x-6[/tex]

Required

Determine the initial value

The initial value of any equation is the point where

[tex]x = 0[/tex]

Substitute 0 for x in [tex]y = -7x-6[/tex]

[tex]y = -7 * 0 - 6[/tex]

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

[tex]y = -6[/tex]

Hence, the initia; value is -6

Answer:

the answer is -6 ( and or c )

Step-by-step explanation:

Answer:

0.40 the actual answer is 3.20 but you said round so

Step-by-step explanation:

Answer:

0.38 is the answer for me

Step-by-step explanation:

Answer:

as a decimal 0.3 and the percent is 30%

Answer:

in decimal :0.3 and in percent:3/10/total*100%

Step-by-step explanation:

in decimal: 3/10

=0.3

in percent= 3/10/total*100%

Answer:

m + (m + 15) + (m + 2)

Step-by-step explanation:

Even thought we don't know the value of m, we can use expressions to represent it.

Hope this helps.

The required expression is m + (m + 15) + (m + 2) which represents the total number of miles Marla, Lawrence, and Jerry drove in all.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.

Let's represent Marla drove "m" miles.

Since Lawrence drove 15 more miles than Marla.

So, this means the expression m + 15

Then Jerry drove 2 more miles than Marla.

So, this means the expression m + 2

Now, the total number of miles = m + (m + 15) + (m + 2)

This expression represents the total number of miles Marla, Lawrence, and Jerry drove in all.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

Answer:

Mei descends faster

Mei's height decreases 5ft every second

Victor's height decreases 3.33 ft every second

Step-by-step explanation:

Given

Mel

[tex](x_1,y_1) = (2,50)[/tex]

[tex](x_2,y_2) = (5,35)[/tex]

Victor

[tex](x_1,y_1) = (1,60)[/tex]

[tex](x_2,y_2) = (4,50)[/tex]

Required

Who descend faster?

To do this, we simply calculate the slope/rate of both individuals

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For Mei:

[tex]m_1 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex](x_1,y_1) = (2,50)[/tex]

[tex](x_2,y_2) = (5,35)[/tex]

[tex]m_1 = \frac{35 -50}{5 - 2}[/tex]

[tex]m_1 = \frac{-15}{3}[/tex]

[tex]m_1 = -5[/tex]

Mei descends at 5ft per second

For Victor:

[tex]m_2 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex](x_1,y_1) = (1,60)[/tex]

[tex](x_2,y_2) = (4,50)[/tex]

[tex]m_2 = \frac{50-60}{4 - 1}[/tex]

[tex]m_2 = \frac{-10}{3}[/tex]

[tex]m_2 = -3.33[/tex]

Victor descends at 3.33ft per second

By comparison:

Mei descends faster

Answer:

Mel: -5, 5

Victor: -10/3, 10,3

Edge 2021

Answer: The point (5,-20) only satisfies the second inequality statement in the system of inequalities shown.

Step-by-step explanation:

It isn't super clear exactly what you're asking, but the first thing we can do is see if the point (5, -20) satisfies the system of equations.

So, we start by plugging in -20 for y and 5 for x.

y > -2x-3

-20 > (-2)(5) - 3

-20 > -10-3

-20 > -13. - we can see that the coordinates DO NOT satisfy the first inequality, now we can try the second equation.

y ≤ 3x + 2

-20 ≤ 3(5) + 2

-20 ≤ 15 +2

-20 ≤ 17 - this inequality is true because -20 is indeed less than 17.

Answer: -3

Step-by-step explanation:

18/6 = 3

18/-6 = -3

9514 1404 393

Answer:

  500 ft or 166 2/3 yards

Step-by-step explanation:

The tie wire is (100)/(100 +500) = 1/6 of the total length of wire used. If 1000 yards of wire is used, 1/6 of that amount can be expected to be tie wire. That is ...

  (1000 yd)/6 = 166 2/3 yd = 500 ft

Answer:

(5, -11)

Step-by-step explanation:

We know that (8, -5) is 6 units above and 3 units to the right of point P. Knowing this, let's work backwards by starting from (8,-5) and counting 6 units down and 3 units to the left on the graph.

If you counted correctly, this should place you at the (5, -11). (You can also check your work by counting 6 units up and 3 units to the right from (5, -11) and seeing if you end up at (8, -5).)

Answer: 7 ; 26 ; 123

Step-by-step explanation:

Min __Q1 __ Median ___ Q3 __ Max

7____ 72 ____79 ______86__ 123

Given the 5 number summary information :

The Outlier :

Lower bound : Q1 - (1.5 * IQR)

Upper bound : Q3 + (1.5 * IQR

IQR = Q3 - Q1 = (86 - 72) = 14

Lower = 72 - (1.5 * 14)

Lower boundary = 51

Upper boundary = 86 + (1.5 * 14)

Upper boundary = 86 + 21 = 107

Values below 51 and values greater Than 107 are outliers.

Hence, 7, 36 and 123 are outliers

Answer:

Step-by-step explanation:

initial growth = 11

growth in 6 months= 3*6= 18

Final growth = 29 inches (11+18)

Answer:

Step-by-step explanation:

Given equation:

Common denominator is x² + x - 2, consider x ≠ 1 and x≠ -2

Multiply both sides by x² + x - 2:

There is one solution but it is not true one.

Option C is correct

Answer:

[tex] \frac{x}{x - 1} + \frac{2}{x + 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ \frac{x(x + 2) + 2(x - 1)}{(x - 1)(x + 2)} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 2x + 2x - 2 }{ {x}^{2} + 2x - x - 2} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 4x - 2 }{ {x}^{2} + x - 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ {x}^{2} + 4x - 2 = - 6 \\ {x}^{2} + 4x + 4 = 0 \\ {x}^{2} + 2 \times 2 \times x + {2}^{2} = 0 \\ {(x + 2)}^{2} = 0 \\ x + 2 = 0 \\ \boxed{x = - 2 }[/tex]

C. the equation has one extraneous solution.

Answer:

The equation which determined the rule for the function is:

Thus, option B is true.

Step-by-step explanation:

We know the slope-intercept form of line function is

y = mx+b

where m is the slope and b is the y-intercept

Given the table

x     -2       -1        0       1       2

y      -4       -1        2      5       8

Finding the slope between the points (-2, -4) and (-1, -1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}[/tex]

[tex]m=3[/tex]

Thus, the slope of the function = m = 3

We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.

It is clear,

at x=0, y = 2

Thus, the y-intercept 'b' = 2

now substituting m = 3 and b =2 in the slope-intercept form

y = mx+b

y = 3x + 2

Therefore, the equation which determined the rule for the function is:

Thus, option B is true.

Answer: y=-1/3x+5

Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get  -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!

Answer: a. 2x + 3y = 1560

b. y = -2x/3 + 520

c. f(x) = -2x/3 + 520

Step-by-step explanation:I had the same one and I put down random I’m glad you posted this today so I didn’t forget