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SOVA2 [1]
3 years ago
12

The cost of a pair of jeans was changed from $47 to $42.13. What was the percent change?

Mathematics
1 answer:
zhenek [66]3 years ago
6 0

Answer:

10.36

Step-by-step explanation:

  1. $47 - $42.13 = $4.87
  2. ($4.87 ÷ $47) × 100 = 10.36%

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Can someone please answer this???? ASAP
timofeeve [1]

Answer:

A. y=-\dfrac{8}{7}x-\dfrac{18}{7}

Step-by-step explanation:

Let y=mx+b be the equation of the perpendicular line.

Two perpendicular lines have slopes with product equal to -1. The slope of the given line is \frac{7}{8} Hence,

\dfrac{7}{8}\cdot m=-1\\ \\m=-\dfrac{8}{7}

is the slope of needed line.

This line passes through the point (-4,2), so its coordinates satisfy the equation:

2=-\dfrac{8}{7}\cdot (-4)+b\\ \\b=2-\dfrac{32}{7}=-\dfrac{18}{7}

Therefore, the equation of the line is

y=-\dfrac{8}{7}x-\dfrac{18}{7}

7 0
3 years ago
Amir stands on a balcony and throws a ball to his dog who is at ground level. The ball's height, in meters above the ground, aft
telo118 [61]

Answer:

Time t = 2 seconds

It will reach the maximum height after 2 seconds

Completed question;

Amir stands on a balcony and throws a ball to his dog who is at ground level. The ball's height, in meters above the ground, after t seconds that Amir has thrown the ball is given by:

H (t) = -(t-2)^2+9

many seconds after being thrown will the ball reach its maximum height?

Step-by-step explanation:

The equation of the height!

h(t) = -(t-2)^2 + 9 = -(t^2 -4t +4) + 9

h(t) = -t^2 +4t -4+9

h(t) = -t^2 + 4t +5

The maximum height is at dh/dt = 0

dh/dt = -2t +4 = 0

2t = 4

t = 4/2 = 2

Time t = 2 seconds

It will reach the maximum height after 2 seconds

8 0
3 years ago
A new American graduate is contemplating buying a
Law Incorporation [45]

Answer:

The best option is to buy Japanese Car.

Step-by-step explanation:

Fuel usage per year is 150000/ 8 = 18750 miles per year

Fuel cost (year 1 -8) = $3.0, $3.06, $3.12, $3.18, $3.25, $3.312, $3.38, $3.5

Japanese Car:

Fuel usage 18750 / 23 = 815 * $3 = $2446

Fuel charges (year 1 -8) = $2445, $2494, $2623, $2758. $2900, $3050, $3207, $3372

Repair Cost (year 1 - 8) = $700, $721, $742, $764, $787, $811, $835, $860

Insurance cost (Year 1 - 8) = $700, $714, $728, $742, $757, $772, $788, $804

Present value of cost at 5% = 24674.07

Cost of car is $30,000

Total cost = $54674.07

Amercian Car:

Cost $35,000

Fuel usage 18750/20 = 937.5 * $3 per gallon = $2812.5.

Fuel charges (year 1 -8) = $2812, $2913, $2986, $3011. $3098, $3124, $3176, $3208

Repair Cost (year 1 - 8) = $800, $894, $921, $978, $1109, $1176, $1207, $1301

Insurance cost (Year 1 - 8) = $800, $827, $876, $898, $908, $932, $954, $934

Present value of cost at 5% = 25302.18

Cost of car is $35,000

Total cost = $60302.

German Car:

Cost = $45,000

Fuel usage 18750 / 21 = 892 * $3 = $2678

Fuel charges (year 1 -8) = $2679, $2732, $2786, $2842. $2899, $2987, $3077, $3171

Repair Cost (year 1 - 8) = $1000, $1040, $1081, $1124, $1169, $1216, $1265, $1316

Insurance cost (Year 1 - 8) = $850, $867, $884, $902, $920, $938, $957, $976

Present value of cost at 5% = 27105.73

Cost of car is $45,000

Total cost = $72105.

4 0
3 years ago
Read 2 more answers
Find the equation of the line containing the point (3, 3) and parallel to the line
DIA [1.3K]

Answer:

y = 2x - 3

Step-by-step explanation:

Parallel lines have the same slope

only the constant changes

y = 2x + b

To find "b"

Plug in point (3, 3)

3 = 2(3) + b

3 = 6 + b

Subtract 6 from both sides

-3 = b

The equation for the parallel line is

y = 2x - 3

3 0
2 years ago
I really need help do can someone do it step by step so I can understand plzzzz​
Alekssandra [29.7K]

Answer:

64 × pi m²

Step-by-step explanation:

the formulas needed for the surface area of a cone are :

base area plus the "mantle", the lateral "wall" around it.

the base area is a circle.

so, that formula is Ac = pi×r²

the "wall" formula is Aw = pi×r×s

r = radius

s = slant height = 12

the formula for the surface area of a sphere is

As = 4×pi×r²

we know now, that both surface areas are the same, and also the radius is the same for both objects.

Ac + Aw = As

pi×r² + 12×pi×r = 4×pi×r²

=>

12×pi×r = 3×pi×r²

12×pi = 3×pi×r

12 = 3×r

r = 4 m

now, we only need to use this value of r in our formulas for surface areas, like for the sphere :

4×pi×r² = 4×pi×4² = 4³×pi = 64×pi

3 0
2 years ago
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