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blondinia [14]
3 years ago
14

Using the equation in the previous problem calculate how long of a massage jaiden can have is she has approximately $180 the equ

ation is y=-2x+30
Mathematics
1 answer:
irakobra [83]3 years ago
7 0
180=-2x+30
x=-75

i think this is what we’re supposed to do
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Express the amount that results from 100 dollars invested at 5 percent compounded continuously after a period of 2 years.
nalin [4]

9514 1404 393

Answer:

  $110.52

Step-by-step explanation:

The formula for the amount resulting from continuous compounding is ...

  A = P·e^(rt) . . . . . principal P compounded continuously at annual rate r for t years

Using your values, we have ...

  A = 100·e^(0.05·2) = 100e^0.1 = 110.52

The resulting amount is $110.52.

3 0
3 years ago
What is the equation in standard form of the line that passes through the point (1,24) and has a slope of negative 0.6
Mumz [18]

let's first off convert the 0.6 to a fraction, and then let's keep in mind that

Standard Form of a Linear Equation

- variables must be on the left-hand-side, usually sorted in ascending order

- there must not be any fractions, just integers

- the variable "x" must not have a negative coefficient.


\bf 0.\underline{6}\implies \cfrac{06}{1\underline{0}}\implies \cfrac{3}{5}\impliedby m = slope
~\hspace{12em}
(\stackrel{x_1}{1}~,~\stackrel{y_1}{24})
\\\\[-0.35em]
~\dotfill\\\\
\begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-24=\cfrac{3}{5}(x-1)\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5y-120=3(x-1)}
\\\\\\
5y-120=3x-3\implies -3x+5y=117\implies \stackrel{\textit{standard form}}{3x-5y=-117}

3 0
3 years ago
You're at a clothing store that dyes your clothes while you wait. You get to pick from
Art [367]

Answer:

The probability that you'll end up with socks that aren't blue is \frac{1}{6}.

Step-by-step explanation:

The pieces of clothing available:

X = {shirt, pants, socks and hat}

The color options:

Y = {purple, blue and orange}

So, if a person picks a shirt he/she has 3 color options.

Similarly for pants, socks and hat there are 3 color options each.

That makes 12 possible pieces of clothing.

That is, there are 12 total options available.

Now, compute the probability of selecting a socks as follows:

P(Socks)=\frac{1}{4}

Compute the probability of selecting the color blue as follows:

P(Blue)=\frac{1}{3}

Compute the probability of selecting a socks that are not blue as follows:

P(Socks\cap not\ Blue)=P(Socks)\times [1-P(Blue)]

                                  =\frac{1}{4}\times [1-\frac{1}{3}]

                                  =\frac{1}{4}\times \frac{2}{3}

                                  =\frac{1}{6}

Thus, the probability that you'll end up with socks that aren't blue is \frac{1}{6}.

6 0
4 years ago
Read 2 more answers
Work out the mean.<br> 1, 3, 3. 4. 6, 9, 9
I am Lyosha [343]
1+3+3+4+6+9+9 is 35
7 numbers so divide by 7
35/7 = 5
Mean is 5
8 0
3 years ago
Read 2 more answers
In ΔJKL, the measure of ∠L=90°, JL = 80, KJ = 89, and LK = 39. What is the value of the sine of ∠J to the nearest hundredth
emmainna [20.7K]

Given:

In ΔJKL, m∠L=90°, JL = 80, KJ = 89, and LK = 39.

To find:

The value of sine of ∠J.

Solution:

In a right angle triangle,

\sin\theta =\dfrac{Perpendicular}{Hypotenuse}

In triangle JKL,

\sin J =\dfrac{LK}{KJ}

\sin J =\dfrac{39}{89}

\sin J =0.4382

\sin J \approx 0.44

Therefore, the value of sine of ∠J is about 0.44.

5 0
3 years ago
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