All categories

2 years ago

What is the answer to this problem!?

Mathematics

1 answer:

stepladder [879]2 years ago

4 0

I cant read it...

ill answer if know

You might be interested in

Find the generating function for the sequence 1,-2,4,-8, 16, ...

kirill [66]

Answer:

$a(x)=\dfrac{1}{1+2x}$

Step-by-step explanation:

The generating function a(x) produces a power series ...

$a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots$

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

$a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}$

This can be rearranged to ...

$a_n+2a_{n-1}=0$

We can formulate this in terms of a(x) as follows, then solve for a(x).

$\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}$

The generating function is ...

a(x) = 1/(1+2x)

3 0

2 years ago

Read 2 more answers

The baseball team is ordering hats for the upcoming season. The hat company

Akimi4 [234]

Each hat cost at least $25.92

3 0

2 years ago

The sum of 12 and the quantity 8 times a number k is equal to 48

Rudiy27

12+8k=48
=>8k=36
=>k=36/8
=>k=4.5

6 0

2 years ago

Tyrell bought a pair of jeans for $23.99. With sales tax, the total was $25.67. What was the amount of the sales tax?

Tanzania [10]

Answer:

1.68

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Mark invests $6,700 in an online savings account which gives 4.2% simple annual interest. He also invests $6,000 in a savings ac

dalvyx [7]

Answer:

$4,221.00 for online and 6,210.00 for the instore

Step-by-step explanation:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year.

Solving our equation:

A = 6700(1 + (0.042 × 15)) = 10921

A = $10,921.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,700.00 at a rate of 4.2% per year for 15 years is $10,921.00.

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6.9%/100 = 0.069 per year.

Solving our equation:

A = 6000(1 + (0.069 × 15)) = 12210

A = $12,210.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 6.9% per year for 15 years is $12,210.00.

5 0

2 years ago