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Alecsey [184]
3 years ago
11

State whether the function (x) = 150 (1.09)x is growing or decaying and find the rate.

Mathematics
1 answer:
ahrayia [7]3 years ago
6 0
It is growing at a rate of 9%.

The exponential equation is in the form

f(x) = a*(1+r)ˣ, where a is the initial value, r is the growth rate written as a decimal number, and x is the number of time periods.  1.09 is in the place of 1+r; this means r = 0.09 or 9%.  Since we have a number greater than 1, it is increasing.
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A sculpture of a clothespin is 20 feet high. A normal clothespin of this shape is five inches high. Using this scale, how many f
kodGreya [7K]
This is the concept of scale factor. The linear scale factor is given by:
(height of sculpture)/(height of clothespin)
=20/(5/12)
=48
Given that a woman is 5ft 7 in, the sculpture of this woman would be:
height of sculpture=(scale factor)*(height of the woman)
height of the woman=5 ft 7 inches=5 7/12 ft=67/12 ft
hence the height of the sculpture will be:
67/12×48
=268 ft

Answer: 268 ft

7 0
3 years ago
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How do you find the zeros of an equation​
lubasha [3.4K]

Answer:

Step-by-step explanation:

In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.

5 0
2 years ago
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The store is selling lemons at $0.64 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough l
fomenos
$5.12
Each pie requires 1/2 a cup of lemon juice, you make 2 pies so you need a cup of lemon juice. There are 16 tbsp to a cup, each lemon has 2 tbsps of juice, so you’ll need 8 lemons. Each lemon cost $0.64
8*0.64= $5.12
3 0
3 years ago
How do I solve/ set up equation? Will give brainliest pls help
slamgirl [31]

Answer:

See below ~

Step-by-step explanation:

<u>Finding x</u>

  • 2x - 28 = x/2
  • 3/2x = 28
  • 3x = 56
  • x = 56/3 = 18.66666667

  1. The exact side length of the small square is <u>18.66666667 cm</u> and the exact side length of the big square is <u>37.3333334 cm</u>.
  2. The approximate side length of the small square is <u>18.7 cm</u> and the approximate side length of the big square is <u>37.3 cm</u>.
4 0
2 years ago
The commute time to work in the U.S. Has a bell shaped distribution with a population mean of 24.4 minutes and a population stan
Alexxx [7]

Answer:

1. 0.9544

2. 0.0228

3. 0.0228

Step-by-step explanation:

The computation is shown below;

As we know that

At Normal distribution

P(X < A) = P(Z < \frac{(A - mean)}{standard deviation})

As per the question, the data provided is as follows

Mean = 24.4 minutes

Standard deviation = 6.5 minutes

Based on the above information

P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)

= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)

= P(Z < 2) - P(Z < -2)

= 0.9772 - 0.0228

= 0.9544

2. P(X < 11.4) = 0.0228

3. P(X ≥ 37.4) = 1 - P(X < 37.4)

= 1 - 0.9772

= 0.0228

5 0
3 years ago
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