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BabaBlast [244]
3 years ago
11

All Questions are fron percentage and its applications

Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0

Answer:

1.20%

Step-by-step explanation:

1.50-30=20

2.15000

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A sales person is given a choice of two salary plans. Plan 1 is a weekly salary of 700 plus 4% commission of sales. Plan 2 is a
bezimeni [28]

Let 's' represent the amount of sales.

Plan 1:

\text{ \$700 + (4\% of s)}\begin{gathered} \text{ \$700+(}\frac{\text{4}}{100}\times s) \\ \text{ \$700+(0.04}\times s)=\text{ \$700}+0.04s \end{gathered}

Plan 2:

12\text{ \% of s}\begin{gathered} \frac{12}{100}\times s \\ 0.12\times s=0.12s \end{gathered}

Equating the two plans together and solving for the amount of sales,

\begin{gathered} \text{Plan 2=Plan 1} \\ 0.12s=\text{ \$700+0.04s} \\  \end{gathered}

Collecting like terms,

\begin{gathered} 0.12s-0.04s=\text{ \$700} \\ 0.08s=\text{\$700} \end{gathered}

Divide both sides by 0.08,

\begin{gathered} \frac{0.08s}{0.08}=\frac{\text{ \$700}}{0.08} \\ s=\text{ \$8750} \end{gathered}

Hence, the amount of sales is $8,750.

6 0
1 year ago
Solve the right triangle. round your answer to the nearest tenth​
mrs_skeptik [129]

Answer:

?

Step-by-step explanation:

4 0
3 years ago
F(x)=|x+8| evaluate f(-11)
stealth61 [152]
19:) 
I hope that helped!
7 0
3 years ago
I’m not sure about this question can someone help me.
Alisiya [41]

Step-by-step explanation:

tan \: 48 \degree =  \frac{x}{61}  \\  \\ 1.11 =  \frac{x}{61}  \\  \\ x = 1.11 \times 61 \\\\ x = 67.7 feet\:

RP = 67.7 feet

3 0
3 years ago
Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8​
Ivanshal [37]

It looks like the differential equation is

\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}

Factorize the right side by grouping.

xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)

xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)

Now we can separate variables as

\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx

Integrate both sides.

\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx

\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx

\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}

You could go on to solve for y explicitly as a function of x, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0
2 years ago
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