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3 years ago

Help can somewon help me plzz

Mathematics

2 answers:

fiasKO [112]3 years ago

4 0

Answer:

I would say b

Step-by-step explanation:

3 x 10^-4

const2013 [10]3 years ago

4 0

The answer is most definitely a

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You buy a new car for $31,300. The average car depreciates in value by 14% per year. How much will it be worth after each of the

Andrei [34K]

A = P(1 + rt)

A=31,300(1+.14*1)

A=35682

5 0

2 years ago

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

10 months ago

Use elimination to solve the system of equations given by 3x - 2y = 10 and 5x + 2y = 6

pishuonlain [190]

Answer:

x = -2 y= -8 and 8

Step-by-step explanation:

Since there is an equal number of y's, they cancel out when subtracting. You can put either equation on top. You will get same answer.

To find x:

If you do (3x - 2y = 10) - (5x + 2y = 6), you will get -2x=4. Divide both sides by -2, and get x = -2.

If you do (5x + 2y = 6) - (3x - 2y = 10), you will get 2x=-4.Divide both sides by 2, and get x = -2.

To find y:

Substitute -2 for x in either equation. It doesn't matter.

For 3(-2) - 2y = 10:

3(-2) - 2y = 10 ––Multiply

-6 - 2y =10 ––Add 6 to both sides to get y alone

-2y = 16 ––Divide by -2

y = -8

For 5x + 2y = 6:

5(-2) + 2y = 6 ––Multiply

-10 + 2y = 6 ––Add 10 to both sides to get y alone

2y = 16 ––Divide by 2

y = 8

6 0

2 years ago

Jasmine has only $46.50 to spend at forever 21. She wants to buy a shirt that costs $19, including tax, and some bracelets that

ivanzaharov [21]

46.50 - 19 = 5.50x

We get the 46.50 from her budget and the 19 from the shirt she wants to buy. If we subtract 19 from 46.50, we'll get the amount of money Jasmine can spend on bracelets.

46.50 - 19 = 27.50

She has $27.50 to spend on bracelets. Now, we divide that by 5.50 (the price of a bracelet) to see how many she can buy.

27.50 ÷ 5.50 = 5

Jasmine can buy 5 bracelets.

Hope this helps!

4 0

3 years ago

Sin(x+pi/4)-sin(x-pi/4)=1 solve the equation

evablogger [386]

Sin(α+β)=sin(α)cos(β)+cos(α)sin(β)
sin(α-β)=sin(α)cos(β)-cos(α)sin(β)

$sin(x+ \frac{ \pi }{4} )=sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} \\ sin(x- \frac{ \pi }{4} )=sin(x)cos\frac{ \pi }{4} -cos(x)sin\frac{ \pi }{4} \\ \\ \\sin(x+ \frac{ \pi }{4} )-sin(x- \frac{ \pi }{4} ) =1 \\ sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} -(sin(x)cos\frac{ \pi }{4} -cos(x)sin\frac{ \pi }{4} )=1 \\ sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} -sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} =1 \\ cos(x)sin\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} =1 \\$
$2cos(x)sin\frac{ \pi }{4} =1 \\ sin\frac{ \pi }{4} = \frac{ \sqrt{2} }{2} \\ 2cos(x) \frac{ \sqrt{2} }{2} =1 \\ 2 \cdot \frac{ \sqrt{2} }{2}cos(x) =1 \\ \sqrt{2} cos(x)=1 \\$
$cos(x)= \frac{1}{ \sqrt{2} } \\ x=\pm arccos \frac{1}{ \sqrt{2} }+2 \pi k , k \in Z \\ x=\pm \frac{ \pi }{4} +2 \pi k , k \in Z$

6 0

2 years ago