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jek_recluse [69]
3 years ago
14

Store 1 earned 10% of the money invested I it while store 2 lost 8% of the amount invested in it. The net total gain was $1,300.

This year the respective quantities were +6%, +%5 and $2,250. Find the merchants investment for each store
Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

Answer:

Store 1= $150

Store 2= $250

Step-by-step explanation:

Let the amount invested by store 1 be x while store 2 be y hence

10x-8y=1300 Eqn 1

Make x the subject of the formula for the first equation

10x=1300+8y divide both sides by 10

X=130+0.8y

6x+5y=2250 Eqn 2

Substituting where there’s x with 130+0.8y in equation 2 we obtain

6(130+0.8y)+5y=2250

780+4.8y+5y=2250

9.8y+780=2250

9.28y=2250-780=1470

Y=1470/9.8=150

X=130+0.8y= 130+0.8(150)=250

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HI I NEED HELP WITH THIS QUESTION ASAP!!!!!! ITS URGENT PLEASE HELP
natima [27]

a) The sinusoidal function is y = 7·sin(π/15(t - 2.5)) + 9

b) The height of the shorts at t =  10 minute is approximately 6 meters

The above answers were arrived at as follows

a) The general form of a sinusoidal equation is presented as follows;

y = A·sin(B(t - h)) + k

Where;

A = The amplitude of the graph of the function

The period, T = 2·π/B

h = The horizontal shift

k = The vertical shift

The maximum height of the blade = 16 meters

The minimum height of the blade  = 2 meters

The time the blade moves from maximum height to minimum height = 25 s - 10 s = 15 s

Therefore, the time it takes the blade to move from maximum height to minimum height, the period, T= 2 × 15 s = 30 s

Therefore;

B = 2·π/30 = π/15

B = π/15

When B·(t - h) = π/2, t = 10

Therefore;

(π/15)·(10 - h) = π/2

10 - h = 15/2

h = 10 - 15/2 = 2.5

The horizontal shift, h = 2.5

The amplitude, A = (Max - Min)/2

∴ A = (16 - 2)/2 = 7

A = 7

The vertical shift, k = Min - (-Amplitude)

∴ k = 2 - (-7) = 9

The vertical shift, k = 9 Up

Therefore, the equation of the sinusoidal equation that describes the height of shorts in terms of time is given by plugging in the values of the variables, <em>A</em>, <em>B</em>, <em>h</em>, and <em>k</em> to  get the following equation;

y = 7·sin(π/15·(t - 2.5)) + 9

b) The height of the shorts at exactly, t = 10 minutes = 600 seconds, is given as follows;

y = 7·sin(π/15·(t - 2.5)) + 9

10 minutes =  600 seconds

When t = 10 minutes = 600 seconds

∴ y = 7·sin(π/15(600 - 2.5)) + 9 = 5.5 ≈ 6

The height of the shorts at exactly t = 10 minutes ≈ 6 meters.

Get more information on  sinusoidal functions here;

brainly.com/question/16820464

5 0
3 years ago
Quadratic factorisation Question, help please.
Anna [14]
The answer to your question is (3x+2)(x+1)
8 0
3 years ago
A rectangular exercise mat has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to
Karo-lina-s [1.5K]
<h2>Hello!</h2>

The answers are:

- Length

length=2width=12feet

- Width

width=6feet

- Area

Area=72feet^{2}

<h2>Why?</h2>

We are given the perimeter of a rectangular mat, and we are asked to find the area, and write an equation to determine the length, if feet, of the mat. To solve this problem we need to remember the equation of the perimeter of a rectangle, which is:

Perimeter=2length+2width

Using the given information we have,

36feet=2length+2width

Also, we know that the length is twice the width, so:

length=2width

Then, substituting the second equation into the first equation, we can find the width of the mat.

Substituting, we have:

36feet=2(2width)+2width

36feet=4width+2width

36feet=6width

[tex]\frac{36feet}{6} =width\\width=\frac{36feet}{6} =6feet[/tex]

Then, substituting the width into the second equation, we can find the length of the mat,

Substituting, we have:

length=2width

length=2(6feet)=12feet

Then, finding the area, we have:

A=length*width=12feet*6feet=72feet^{2}

Have a nice day!

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Seven more than one half a number as an equation
romanna [79]

Answer:

1/2x+7

Step-by-step explanation:

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There was a study done on oxygen consumption of snails as a function of pH, and the result was a degree 4 polynomial whose graph
mr_godi [17]

Answer:

A. There is a positive leading coefficient

Step-by-step explanation:

8 0
3 years ago
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