PLEASE HELP, CURRENTLY STUCK ON THIS QUESTION ! Find the general term for the sequence -3, 1, 5, 9, ....

Answers

Answer 1

Answer:

$\bf -3~~,~~\stackrel{-3+4}{1}~~,~~\stackrel{1+4}{5}~~,~~\stackrel{5+4}{9}...~\hspace{5em}\stackrel{\textit{common difference}}{d = 4} \n\n[-0.35em] ~\dotfill\n\n \stackrel{\textit{general term}~\hfill }{n^(th)\textit{ term of an arithmetic sequence}} \n\n a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^(th)\ term\n n=\textit{term position}\n a_1=\textit{first term}\n d=\textit{common difference}\n \cline{1-1} a_1=-3\n d=4 \end{cases} \n\n\n a_n=-3+(n-1)4\implies a_n=-3+4n-4\implies a_n=4n-7$

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Heidi, a jewelry salesperson, earns a commission of $55 every time she sells a diamond ring. How many rings does she have to sell to earn $605? Choose the equation that correctly calculates the amount.A. $55 × w = $605
B. $55 + w = $605
C. $605 – $55 = w
D. $55 – w = $605 – w

Answers

A is the answer. This is because 605/55=w which is the same as
55 x w =605

Answer:

Step-by-step explanation:

What is the value of the function when x = 1?

y =

Answers

Just look at 1 on the x-axis and go all the way up till you reach the line, then go all the way to the left and see what number that is on the y-axis.

When you do this you find that it's 2 on the y-axis.

So when x = 1, y = 2.

The sales tax on a new camera is $5.60, which is 8% of the total price.What is the price of the camera?

Answers

$5.60 = 0.08x
Solve by dividing both sides by 0.08
$5.60 ÷ 0.08 = $70
Price: $70

the total price is 6.05 because 8 percent of 5.60 is .45 so 5.60+.45 is 6.05

For the equation: 6a-(2a+4)=11-3(a-2), what is the value of a ?

Answers

Answer:

a = 7/2

Step-by-step explanation:

Step 1: Write equation

6a - (2a + 4) = 11 - 3(a - 2)

Step 2: Solve for a

Distribute: 5a - 2a - 4 = 11 - 3a + 6
Combine like terms: 3a - 4 = 17 - 3a
Add 3a to both sides: 6a - 4 = 17
Add 4 to both sides: 6a = 21
Divide both sides by 6: a = 7/2

Final answer:

The variable 'a' in the given equation is 3. First, simplify both sides of the equation, then isolate 'a' by adding and subtracting the same terms on both sides. Finally, divide to find 'a'.

Explanation:

The first step to solve the equation 6a-(2a+4)=11-3(a-2) is simplifying both sides. On the left-hand side, distribute the negative sign into the parenthesis, resulting in 6a - 2a - 4. Simplifying this gives 4a - 4. On the right-hand side, distribute the negative 3 into the parenthesis, resulting in 11 - 3a + 6. Simplifying this gives -3a + 17.

So, the simplified equation is 4a - 4 = -3a + 17. To isolate the variable a on one side, add 3a to both sides to get 7a - 4 = 17. Then add 4 to both sides to get 7a = 21. Finally, divide both sides by 7 to get a = 3.

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What is the value of the expression below?

|-12|

Answers

Answer:

the absolute value is 12

Step-by-step explanation:

the absolute value is 12 since that is the distance from 0.

Answer:

Step-by-step explanation:

The absolute value is the distance of a number to zero, which is always a positive number. |-12| is 12 units away from zero and therefore, the answer is 12.

Anita has $300 in her savings account that earns 5% annually. The interest is not compounded. How much interest will she earn in 1 year?