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ohaa [14]
4 years ago
9

ASAP math help algebra plzzz

Mathematics
1 answer:
skelet666 [1.2K]4 years ago
6 0
This is a geometric sequence because each term is a constant multiple, called the common ratio, of the previous term.  In this case the common ratio, noted as "r", is:

8/-2=-32/8=128/-32=r=-4

The first term is -2

Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.

Since we know r and a for this problem already we can say:

a(n)=-2(-4)^(n-1)
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A half-gallon carton of organic
kotegsom [21]

Answer:

The price of milk in 5 years = $7.16

Step-by-step explanation:

Given:

Present cost of half-gallon carton milk = $4.45

Increase percentage = 10%

To find the price of milk in 5 years.

Solution:

To find the price of milk in 5 years we will apply the exponential growth formula which is given as:

F_v=P_v(1+r)^t

where

F_v\rightarrow final value

P_v\rightarrow present value

r\rightarrow rate of increase in decimals

t\rightarrow time in years.

From the given data, we can plugin values in the equation to calculate final value in dollars after 5 years.

F_v=4.45(1+0.1)^5

F_v=4.45(1.1)^5

F_v=4.45(1.61)

F_v=7.16

Thus, price of milk in 5 years = $7.16

4 0
3 years ago
Read 2 more answers
Identity the section with the least spread in data and explain what this means?
liberstina [14]
Awe, I wish I could help!!
3 0
3 years ago
Consider a machine that fills 275 gallon tanks of water. The owner discovers that the machine does not always dispense exactly 2
fenix001 [56]

Answer:

(a) The random variable <em>X</em> is a continuous random variable.

(b) The probability density function is shown below.

(c) The probability that a 275 gallon tank gets less than 272.5 gallons or more than 273.8 gallons of water is 0.285.

Step-by-step explanation:

Let the random variable <em>X</em> be denoted as the amount of water filled by the machine in a 275 gallon tank.

(a)

The random variable <em>X</em> is a continuous random variable.

A continuous random variables assumes infinite values. That is, they assume values in a fixed interval. For example, the distance covered by a car.

A discrete random variable assumes fixed definite values. They assume whole number values. For example, number of customers visiting a bank in an hour.

The amount of water in the tank can be any value between 0 to 275 gallon.

Hence, the random variable <em>X</em> is a continuous random variable.

(b)

The probability density function of the continuous random variable <em>X</em> is given as follows:

             0.25;\ 272

f_{X}(x) =0.20;\ 273

             0.55;\ 274

(c)

Compute the value of P (272.5 < X < 273.8) as follows:

P(272.5

Thus, the probability that a 275 gallon tank gets less than 272.5 gallons or more than 273.8 gallons of water is 0.285.

4 0
3 years ago
A rectangle that measures 2 inches by 4 inches. What is the area of the rectangle? 6 square inches 8 square inches 36 square inc
MrMuchimi

Answer:

6

Step-by-step explanation:

You have to multiply the two numbers.

2*4=6

3 0
3 years ago
Read 2 more answers
The circumference of a circular garden is 141 feet. What is the radius of the garden?
evablogger [386]

Answer:

r ≈ 22.44 ft

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ), then

141 = 2πr ( divide both sides by 2π )

\frac{141}{2\pi } = r , that is

r ≈ 22.44 ft ( to the nearest hundredth )

6 0
3 years ago
Read 2 more answers
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