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borishaifa [10]
2 years ago
9

Mr. smith earns $200 per week working at a clothing store. in addition, he earns 3% commission on all of his sales. last week, h

e sold $1800 worth of clothes. what was mr. smith's total income for that week?
Mathematics
2 answers:
SIZIF [17.4K]2 years ago
6 0
Commission 0.03×1,800=54
Total income 200+54=254
Vladimir79 [104]2 years ago
3 0

Answer: His total income for that week is $254.

Step-by-step explanation:

Since we have given that

Amount he earned per week working at a clothing store = $200

Rate of commission on all of his sales = 3%

His total sales = $1800

So, Amount earned from commission is given by

\dfrac{3}{100}\times 1800\\\\=18\times 3\\\\=\$54

So, Total income for that week would be

$200+$54=$254.

Hence, his total income for that week is $254.

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56. Mikayla is filling a glass sphere with water.
kirill [66]

Answer:

The minimum amount of water to fill the sphere is 904.32\ in^{3}

Step-by-step explanation:

we know that

The volume of the sphere (glass sphere) is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=12/2=6\ in ----> the radius is half the diameter

assume

\pi =3.14

substitute

V=\frac{4}{3}(3.14)(6)^{3}

V=904.32\ in^{3}

8 0
2 years ago
Find an equation of the line containing the centers of the two circles whose equations are given below.
Anna35 [415]

Answer:

<h2><em>3y+x = -5</em></h2>

Step-by-step explanation:

The general equation of a circle is expressed as x²+y²+2gx+2fy+c = 0 with centre at C (-g, -f).

Given the equation of the circles x²+y²−2x+4y+1  =0  and x²+y²+4x+2y+4  =0, to  get the centre of both circles,<em> we will compare both equations with the general form of the equation above as shown;</em>

For the circle with equation x²+y²−2x+4y+1  =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4  =0:

2gx = 4x

2g = 4

Divide both sides by 2:

2g/2 = 4/2

g = 2

Also, 2fy = 2y

2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

c is the intercept

Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

m = -1-(-2)/-2-1

m = -1+2/-3

m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

-1 = 2/3+c

c = -1-2/3

c = -5/3

Finally, we will substitute m = -1/3 and c = 05/3 into the equation y = mx+c.

y = -1/3 x + (-5/3)

y = -x/3-5/3

Multiply through by 3

3y = -x-5

3y+x = -5

<em>Hence the equation of the line containing the centers of the two circles is 3y+x = -5</em>

5 0
2 years ago
Each morning darnell does a combination of aerobics and stretching exercises. the exercises burn different amounts of calories p
iogann1982 [59]

Answer:

x=34

Step-by-step explanation:

8 0
2 years ago
At what points does the helix r(t) = sin t, cos t, t intersect the sphere x2 + y2 + z2 = 65? (round your answers to three decima
Firdavs [7]
\mathbf r(t)=\langle x(t),y(t),z(t)\rangle=\langle\sin t,\cos t,t\rangle

x^2+y^2+z^2=\sin^2t+\cos^2t+t^2=65
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7 0
2 years ago
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure.
ZanzabumX [31]

Answer:

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b) The probability that that the TPMS will trigger warning at 22.94 psi, given that tire pressure has a normal distribution with average of 31 psi and standard deviation of 2 psi

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where x = 22.94, \mu = 31, \sigma = 2

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f(22.94)=0.2e^{-8.12} = 5.93\times10^{-5}

6 0
2 years ago
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