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Amanda [17]
3 years ago
14

What is the constant of proportionality

Mathematics
1 answer:
babymother [125]3 years ago
5 0

Answer:

1/2

Step-by-step explanation:

1/2 x 1/2 = 1/4

3/4 x 1/2 = 3/8

1/1 x 1/2 = 1/2

5/4 x 1/2 = 5/8

(5/4 = 1 1/4)

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At what rate did you invest your $1000, if it made you $120 in interest over the course of 3 years? (Write your answer as a perc
Anon25 [30]

Answer:

The rate at which the $1000 is invested is 4%.

Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.

Step-by-step explanation:

Amount invested = $1000

Total interest income over the course of 3 years = $120

Number of years = 3

Annual interest income = Total interest income over the course of 3 years / Number of years = $120 / 3 = $40

The interest ate on the $1000 invested can now be calculated as follows:

Interest rate = (Annual interest income / Amount invested) * 100 = ($40 / $1000) * 100 = 0.04 * 100 = 4%

Therefore, the rate at which the $1000 is invested is 4%.

Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.

8 0
3 years ago
A company rents water tanks shaped like cylinders. Each tank has a radius of 3 feet and a height of 2 feet. The cost is $ 4 per
Alexxandr [17]

Answer:

The total cost of the cylindrical tank is $226.28

Step-by-step explanation:

Dimensions of the tank are:  radius = 3 ft , height = 2 ft

Cost per cubic foot = $4

Now, total volume of the cylindrical tank =  \pi \times r^{2}h

Here, take π = 22/7

So, Volume  = \frac{22}{7}  \times (3)^{2} \times (2) = \frac{22 \times 9 \times 2}{7}  = \frac{396}{7}  = 56.57 cubic ft

So, the <u>volume of the tank = 56.57 cubic feet. </u>

Now, cost per cubic foot = $4

Hence, the total cost of the tank = Total Volume of the tank x cost per foot

                                                       = 56.57 x 4 = $226.28

So, the total cost of the cylindrical tank is $226.28

5 0
3 years ago
Need some help here IMMEDIATELY!! :(
ExtremeBDS [4]

Answer: C option

Step-by-step explanation:

Since the drawing is 5x more than real object then we have to divide the numbers

a= 35/5 = 7

b= 30/5 = 6

c= 15/3 = 3

7 0
2 years ago
Solve: -5(x+2)+6=3(x+4)
pantera1 [17]

Answer:

x=-2

Step-by-step explanation:

3 0
3 years ago
Look at the pic below and please help.
marshall27 [118]

Answer:

1) Equation's:

  • y = 500 + 15x
  • y = 350 + 18x

2) Number of guest and the charge:

  • Cost is same for both at 50 meals. The cost is $1250.

<u>Part 1</u>

Turn sentences into equation's (Let 'y' be total cost and x per meal) :

(i) charges $500 and $15 per meal

  • y = 500 + 15x

(ii) charges $350 and $18 per meal

  • y = 350 + 18x

<u>Part 2</u>

            y  =  y

500 + 15x = 350 + 18x

18x - 15x = 500 - 350

3x = 150

x = 150/3

x = 50

Charge at guest's 50 meal:

y = 500 + 15(50)

y = $1250

Point : (50, 1250)

3 0
3 years ago
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