Becky tells her friend about the Rule of 72 and her friend immediately
tries it out with her own example. Becky doesn't see all of her friend's
math but does see f(4) = 18 written on her friend's paper.

a. What do you know about the friend's investment based on this?

b. Is the friend's math correct based on the rule of 72?

Answer: M = 32

Step-by-step explanation:

We can add 2 to each side of the equation to get M/4 = 8.

We can then multiply each side of the equation by 4 to get M = 32.

Answer:

Step-by-step explanation:

We can factor out 2 to give us 2(2mn+n)

Answer:

the even number is two

Step-by-step explanation:

the box with the question mark has the two while the one without a question mark is one which is an odd number. when 2 multiplies 1, it gives 2

Answer:

x = 80

Step-by-step explanation:

We have, 150% · x = 120

or, 150/100 · x = 120

Multiplying both sides by 100 and dividing both sides by 150,

we have x = 120 · 100/150

x = 80

If you are using a calculator, simply enter 120×100÷150, which will give you the answer.

[RevyBreeze]

Answer:80

Step-by-step explanation:

we have,

150x/100 = 120

x = 120 x 150/100

x= 80

Answer:

184 is the diameter

Step-by-step explanation:

Answer:

negative 2 is bigger

............. .

Answer:

-5 is less than -2 it's mean that -2 is bigger.

Step-by-step explanation:

Answer:

0.331491713 but can convert to 60/181

Step-by-step explanation:

Answer:

420 sales

Step-by-step explanation:

140x3=420 sales

Separate the variables:

y' = dy/dx = xy   ⇒   1/y dy = x dx

Integrate both sides:

∫ 1/y dy = ∫ x dx

ln|y| = 1/2 x² + C

Given that y(0) = 1, we have

ln|1| = 1/2 • 0² + C   ⇒   C = 0

so that the particular solution is

ln|y| = 1/2 x²

Solving for y gives

y = exp(1/2 x²)

When you think of an electronic log book for workplaces they are like this. human to machine- The human is speaking to the machine through actions of logging in times etc. Machine to human- The machine will now send a response to the human saying that it is logged. Machine to Machine- The machine will use its software to dispose or disclose the information you have given it.

Answer:

2 × 1 +2 +2×2 =8

2+2+4=8

8=8

3×1 +3× -2 + 4×2 =5

3-6+8=5

5=5

1+2 × -2 +2 = -5

1-4+2= -5

-5 = -5

Answer:

x = 35

Step-by-step explanation:

The angles are alternate so their measure is equal:

2x = x + 35 get the like terms on the same side of the equation

2x - x = 35 subtract

x = 35

Measure

2x = 70 and

x + 35 = 70

Answer:

480 is the correct answer

Answer:

2

LOL - I need the kiss tho!

Hope this helps!

Answer:

here the answer is 9/29...

Answer:

88 more people

Step-by-step explanation:

Let the additional number of people that can be seated be n.

Maximum capacity of auditorium= 250

This means that the amount of people in the auditorium can be exactly 250 or less than that. Thus, the inequality sign used is '≤', which can be read as 'less than or equal to'.

Since there are already 162 people in the auditorium,

162 +n ≤ 250

Subtract 162 from both sides:

n ≤ 250 -162

n ≤ 88

Thus, 88 more people can be seated.

Note:

An equation with an inequality symbol is solved the same way as one with an equal sign, except when dividing both sides of the equation by a negative number (i.e. a number lesser than zero). In that case, the direction of the inequality sign will change:

• > becomes < and vice versa

• ≥ becomes ≤ and vice versa

Answer:

The inequality that describes this problem is , and the minimum number of computers he must sell is 25.

Step-by-step explanation:

Since there is no restriction on the number of computers he must sell, an inequality can help us describe the situation.

Writing the inequality.

Let x be the number of computers he sells the next month, since he receives a bonus of $100 per computer he sells the total amount he will make for x computers is

And since he wants to make $2,500 in bonuses, the inequality that describes that situation is

Solving the inequality.

In order to find the exact number of computers he must sell, we need to solve for the inequality.

Since 100 is multiplying to x, in order to move that 100 to the other side, we need to apply the inverse operation to multiplication, which is division. We can then divide both sides by 100

So then we can simplify to get

Thus the minimum number of computers he must sell is 25.

Answer:

d

Step-by-step explanation:

0<1<b

Answer:

the answer is A ..

Step-by-step explanation:

Answer:

7.75

Step-by-step explanation:

found unit rate divided 4.80 by 96 = 0.05

0.05 x 155 = 7.75

if there are 360 days in 1 year, then 60 days is 60/360 = 1/6 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$375\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=years\dotfill &\frac{1}{6} \end{cases} \\\\\\ I=(375)(0.095)(\frac{1}{6})\implies I\approx 5.94[/tex]

Answer:

10y+5

Step-by-step explanation:

5 x 2y = 10y

5 x 1 = 5

Answer:

10y + 5

Step-by-step explanation:

Expand the expression!

(2y + 1) * 5 : We have to multiply each factor by 5

2y * 5 = 10y

1 * 5 = 5

Combine those values, and we get 10y + 5 :)

Answer:

the answer is b I'm pretty sure

Answer:

1x 25< or equal to34

Step-by-step explanation:

Answer:

Simple interest=PRT/100

P=4400

R=4%

T=7

SI=4400×4×7/100

SI=44×4×7

SI=1232

Answer:

[tex]\displaystyle \large{y = - \frac{3}{2}x}[/tex]

Step-by-step explanation:

Hey there! To find a tangent line of curve at specific point, we have to differentiate a given function. This is because a tangent line has same slope as the specific point and slope is equivalent to dy/dx.

From a given function, we can write as [tex]\displaystyle \large{f(x) = 6x^{-1}}[/tex] via law of exponent where [tex]\displaystyle \large{a^{-n}=\frac{1}{a^n}}[/tex] .

Then differentiate with respect to x using power rules.

Power Rules

For every differentiatable continuous functions, if [tex]\displaystyle \large{f(u) = u^n \to f\prime (u) = nu^{n-1} \cdot u\prime}[/tex] for u is any function and n is all real number.

Therefore:-

[tex]\displaystyle \large{f(x) = 6x^{-1}}\\\displaystyle \large{f\prime(x) = (-1)(6)x^{-1-1} \cdot x\prime}\\\displaystyle \large{f\prime(x) = -6x^{-2} }[/tex]

Therefore, our derived function is [tex]\displaystyle \large{f\prime(x) =- 6x^{-2}}[/tex]

Then substitute x = -2 in a derived function or slope.

[tex]\displaystyle \large{f\prime(-2) = -6x^{-2}}\\\displaystyle \large{f\prime(-2) = -6(-2)^{-2}}\\\displaystyle \large{f\prime(-2) = -6 \cdot \frac{1}{(-2)^2}}\\\displaystyle \large{f\prime(-2) = -\frac{6}{4}}\\\displaystyle \large{f\prime(-2) = -\frac{3}{2}}[/tex]

Therefore, the slope at x = -2 is -3/2.

Now we have to use point-slope formula to find the equation of tangent line.

Point-Slope

[tex]\displaystyle \large{y-y_1 = m(x-x_1) \to y-f(x_1) = f\prime (x_1)(x-x_1)}[/tex]

We may have to find the (x,f(x)) coordinate first. We know x = -2 but we don’t know f(x) coordinate at x = -2 yet. We substitute x = -2 in f(x) to find f(-2).

[tex]\displaystyle \large{f(-2) = \frac{6}{-2}}\\\displaystyle \large{f(-2) = -3}[/tex]

Therefore, our coordinate is (-2,-3).

Substitute in point-slope form.

[tex]\displaystyle \large{y-(-3)=-\frac{3}{2}(x-(-2))}\\\displaystyle \large{y+3=-\frac{3}{2}(x+2)}[/tex]

Then convert to slope-intercept form by isolating y-term and simplify the expression.

[tex]\displaystyle \large{y = - \frac{3}{2}(x+2)+3}\\\displaystyle \large{y = - \frac{3}{2}x-3+3}\\\displaystyle \large{y = - \frac{3}{2}x}[/tex]

Therefore, the equation of tangent line is y = -3x/2.

Answer:

y=8x-13

Step-by-step explanation:

When you're finding a perpendicular line, you take the opposite of the slope. The slope in this equation is 1/8, so a perpendicular line will have the slope of 8. So we already know y=8x+b.

Plug in your x and y values from the ordered pair and you get -5=8(1)+b. 8×1 is just 8, so it's -5=8+b. Subtract 8 from both sides and you get -13=b.

Answer:

x=0 true

....................

Answer:

B) x=0

Step-by-step explanation:

[tex]f(x)=\frac{4x^2-36x}{x-9}\\ \\0=\frac{4x^2-36x}{x-9}\\ \\0=\frac{4x(x-9)}{x-9}\\ \\0=4x\\\\0=x\\\\x=0[/tex]

This is just a linear function in disguise, so there's only one solution