What is the area of the shape?

Write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33

ra1l [238]

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

$a_n=8n+1$

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

Determining the common difference

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = 9, d = 8 in the equation

$\:a_n=9+8n-8$

$a_n=8n+1$

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

$a_n=8n+1$

6 0

3 years ago

Orwell building supplies' last dividend was $1.75. Its dividend growth rate is expected to be constant at 38.00% for 2 years, af

WITCHER [35]

Answer:

Estimated current stock price is $46.84

Step-by-step explanation:

First we have to find the value of dividend payment $t_1, t_2 \& t_3$

Given $D_0=$1.75$

Yearly growth rate for next 2 years( $g_1$ )=38.00%

$D_1=\$1.75\times 1.38=\$2.42$

$D_2=\$2.42\times1.38=\$3.34$

Growth after two years will 6% indefinitely

$g_2=6\%=\dfrac{6}{100}=0.06$

$D_3=\$3.34\times1.06=\$3.54$

Estimate of current stock price is

$=\dfrac{D_1}{(1+r)}+\dfrac{D_2}{(1+r)^{2}}+\dfrac{\dfrac{D_3}{(r-g_2)}}{(1-r)^{3}}$

$=\dfrac{\$2.42}{(1.12)}+\dfrac{\$3.34}{(1.12)^{2}}+\dfrac{\dfrac{\$3.54}{(0.12-0.06)}}{(1.12)^{3}}$

=$46.84

Estimate of current stock price is =$46.84

3 0

3 years ago

Li...

faltersainse [42]

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Step-by-step explanation:

Let,

Price of one vegetarian special lunch = x

Price of one chicken special lunch = y

According to given statement;

21x+40y=467 Eqn 1

28x+36y=484 Eqn 2

Multiplying Eqn 1 by 28

$28(21x+40y=467)\\588x+1120y=13076\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 21

$21(28x+36y=484)\\588x+756y=10164\ \ \ Eqn\ 4$

Subtracting Eqn 4 from Eqn 3

$(588x+1120y)-(588x+756y)=13076-10164\\588x+1120y-588x-756y=2912\\364y=2912$

Dividing both sides by 364

$\frac{364y}{364}=\frac{2912}{364}\\y=8$

Putting y=8 in Eqn 1

$21x+40(8)=467\\21x+320=467\\21x=467-320\\21x=147$

Dividing both sides by 21

$\frac{21x}{21}=\frac{147}{21}\\x=7$

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago

Which group of three squares will form a right triangle when joined at their vertices?

Ilia_Sergeevich [38]

Answer:

Option ?) 17 cm, 15 cm, 8 cm

The assignment should have four options to choose from, but there is only a picture of two.

Step-by-step explanation:

None of the squares shown form a right triangle. To determine if sides form a right triangle, you use this formula:

a²+b²=c²

We are given two options in the picture.

Option A) 18, 10, and 8.

Option B) 12, 9, and 6.

So, now we need to apply the formula:

Option A)

║8² + 10² = 18²

↓

║64 + 100 = 324

↓

║FALSE

Option B)

║6² + 9² = 12²

↓

║36 + 81 = 144

↓

║FALSE

Both of these options are false. But, I decided to look up this assignment to check my answer. It turns out, there are 4 options, and you only had a picture of two. So, what's the answer?

There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. This is the correct answer.

For proof, let's apply the formula:

Option ?)

║8² + 15² = 17²

↓

║64 + 225 = 289

↓

║TRUE

[Since the option isn't shown, I'll put a '?' so there is no confusion]

8 0

3 years ago

What pet makes the loudest noise algebra 2

aleksandrvk [35]

A trum-pet ;) almost got me there

4 0

3 years ago