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Masteriza [31]
2 years ago
13

Identify the type of sequence shown in the table below and select the appropriate response. n f(n) 1 540 2 500 3 460 4 420 5 380

arithmetic sequence; common difference is −40 arithmetic sequence; common difference is 40 geometric sequence; common ratio is −40 geometric sequence; common ratio is 40
Mathematics
2 answers:
HACTEHA [7]2 years ago
7 0

Answer:

arithmetic sequence; common difference is −40

Step-by-step explanation:

An arithmetic sequence is a sequence in which each term is found by adding a constant, called the common difference, to each previous term.

In this sequence, we go from 540 to 500 to 460, etc.  Each time we are subtracting 40.  This is the same as adding -40; this makes the sequence arithmetic.

Evgen [1.6K]2 years ago
4 0
The answer is the first one; it is an arithmetic sequence with a common difference of -40.
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Find the area and the circumference of a circle with the radius 3 ft.Use 3.14 for pi
Lilit [14]

ANSWER

• Circumference: 18.84 ft

,

• Area: 28.26 ft²

EXPLANATION

The circumference of a circle of radius r is,

C=2\pi r

In this case, the radius is r = 3 ft and we have to use 3.14 for π,

C=2\cdot3.14\cdot3ft=18.84ft

Hence, the circumference of this circle is 18.84 feet.

The area of a circle of radius r is,

A=\pi r^2

In this case, r = 3 ft and π = 3.14,

A=3.14\cdot3^2ft^2=28.26ft^2

Hence, the area of this circle is 28.26 square feet.

6 0
11 months ago
Dina invests $600 for 5 years at a rate of 2% per year compound interest.
Aleks [24]

Answer:

The value of this investment at the end of the 5 years is of $662.5.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

This means that P = 600, t = 5, r = 0.02, n = 1. Thus

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 600(1 + \frac{0.02}{1})^{t}

A(t) = 600(1.02)^t

Calculate the value of this investment at the end of the 5 years.

This is A(5). So

A(5) = 600(1.02)^5 = 662.5

The value of this investment at the end of the 5 years is of $662.5.

5 0
3 years ago
Christy dove to a depth of 12 feet below the surface of the water write the depth as an integer
Varvara68 [4.7K]

If we use the surface of the water as our frame of reference, then Christy's vertical position could be represented by -12 ft.

4 0
3 years ago
Select the ordered pair that is a solution to the function. (A point on the line.)?
soldier1979 [14.2K]

Answer:

-7

Step-by-step explanation:

first you plug in f(3) in the x so -2(3)= -6

then -6 - 1 = -7

6 0
2 years ago
Simplify the expression<br> 10mn<br> 15m
Afina-wow [57]

Answer:

1) 10mn - 10×m×n

2)15m - 15×m

10×m×n×+15×m

=10mn+15m

factorize

common number(divisor) = 5

5m(2n+3)

5m*2n=10mn

5m*3=15m

4 0
2 years ago
Read 2 more answers
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