All categories

2 years ago

. What's the common difference of the sequence 0, 5, 10, 15, 20, . . . ?

Mathematics

1 answer:

vichka [17]2 years ago

6 0

Answer:

D. d = 5

Step-by-step explanation:

d = d² - d¹

= 5 - 0

= 5

d = d³ - d⁴

= 10 - 5

= 5

d = dⁿ - dⁿ-¹

You might be interested in

Brockman Corporation's earnings per share were $3.50 last year, and its growth rate during the prior 5 years was 7.0% per year.

fredd [130]

Answer:

The number of years it would take is $n = 2 \ years$

Step-by-step explanation:

From the question we are told that

The earning per share is $P =$ $3.50

The growth rate is r = 7.0%

The duration is $t = 5 \ years$

Generally the future value is mathematically represented as

$A = P(1 + \frac{r}{100} )^n$

Where P is the present value

n is the time period

A is the future value which is mathematically evaluated as

$A = 3 * P$

substituting value

$A = 3 * 3.50$

$A =$ $ 10.5 0

$A = P(1 + \frac{r}{100} )^n$

$10.5 = 3.5(1 + \frac{7}{100} )^n$

$10.5 = 3.225^n$

Taking log of both sides

$log 10.5 = nlog 3.225$

$1.0212 = n(0.5085)$

$n = \frac{1.0212}{(0.5085)}$

$n = 2 \ years$

4 0

3 years ago

Let f(x) = x^2 - 11x - 60.<br> Solve for f(x) using factoring.

Alona [7]

F(x) = X^2 - 11x - 60
Two terms that multiply to -60 and add to -11 so...
F(x) = (X - 15) (x + 4)
Your x-intercepts would be 15 and -4.

4 0

2 years ago

What is the area of the 3.1 by 1.4 rectangle?

uranmaximum [27]

Answer: 4.34

Step-by-step explanation:

4 0

3 years ago

F(x) = 4x + 7, g(x) = 3x^2 Find (f + g)(x)

kondor19780726 [428]

For the functions f(x) = 4x + 7 and g(x) = -9x + 11, find f(g(0)). For the functions f(x) = 3x2 - 7 and g(x) = -3x2 + 4, find f(g(2)). (Do NOT put commas in large numbers.)

3 0

3 years ago

40.00 jeans 20% discount

Svetllana [295]

20(40)
$\frac{20}{100}$ = 0.2
0.2(40) = 8

After price: $32.00
But, you save: $8

4 0

2 years ago