Mathematics College

Find the nth term of the following arithmetic sequence.
f(1) = -7, d=3, n = 17

Answers

Answer 1

Answer:

f(n)=17+3(n-1)

f(17)=65

Step-by-step explanation:

arithmetic  sequences are in form:

f(n)=f(o)+d(n-1)

f(1)=17=f(0)

f(n)=17+3(n-1)

f(17)=17+3(16)=65

Related Questions

Which equation is correct?

75 × 4 = 70 + 5 × 4

75 × 4 = 70 × 4 + 5 × 4

75 × 4 = 700 × 4 + 5 × 4

75 × 4 = 70 × 4 + 5

Answers

The answer is A
75 x 4= 70 + 5 x 4

what is the area of this square (look at the picture)

Answers

Answer:

484

Step-by-step explanation:

22 times 22

You put $500 in a savings account. The account earns $20 simple interest in 6 months. What is the annual interest rate? Write your answer as a percent

Answers

Answer:

8%

Step-by-step explanation:

For simple interest, we use the equation I = PRT, where I is the interest earned, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is the time in years.

For this problem, we have to use 0.5 for T, because 6 months is 1/2 a year.

20 = (500)(r)(0.5)

20 = 250r

r = 0.08 = 8%

The graphs of two linear equations are shown.
y = 3x – 3
y= 2x - 8
Which is the solution of this system of equations?

Answers

y = -18
x = -5

(y = 3x -3)2
(y = 2x-8)-3

2y = 6x-6
-3y= -6x+24
———————
-y = 18
y = -18

-18 = 3x - 3
-15 = 3x
-5 = x

cogenuity Quiz
Find the value of 6^3.
OA) 6
ОВ) 36
OC) 72
OD) 216

Answers

Answer: OD) 216

Step-by-step explanation: 6^3 multiple it three times 6x6x6=216

There were 5 girls to every boy that attended the Spring Semester Mixer last year. At this rate, how many attended the mixer if 150 girls attended the mixer,

Answers

Answer:

150:30

Step-by-step explanation:

It's essentially saying 5:1, 5 girls to one boy.

so with this in mind.

150:x

150/5

30

therefore

150:30

Answer:

30 boys attended the mixer. ( Wow 5 girls for a boy thats alot )

Step-by-step explanation:

1. Divide 150 girls by 5 ( 5 for every boy ) = 30 boys.

Thats it lol.

Btw can I have brainliest if I got it correct please?

PLEASE HELP!!! I WILL GIVE BRAINLIEST

Answers

Answer:x=2y=3

Step-by-step explanation: I did this before

Matthew and Lizbeth are college students. Matthew has $87 in his bank account. He spends $45 on groceries. He deposits $30 into his account. Then he spends $112 on books for school. Lizbeth has $41 in her bank account. She deposits $50 into her account. Lizbeth says that if she spends $130 on books she will have a greater debt than Matthew. Show are explain why Lizbeth's thinking is correct or incorrect. Enter your work or explanation in the box provided.

Answers

Answer:

$365

Step-by-step explanation:

did the math

please help me with this

Answers

There is no picture or information!

If triangle ABC is similar to triangle PQR, find the value of x and y.

Answers

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

[tex]\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}[/tex]

[tex]\frac{6}{x}= \frac{4}{y}= \frac{8}{12}[/tex]

[tex]\frac{6}{x}= \frac{8}{12}[/tex]

x = [tex]\frac{12\times 6}{8}[/tex]

x = 9

Similarly, [tex]\frac{4}{y}= \frac{8}{12}[/tex]

y = [tex]\frac{12\times 4}{8}[/tex]

y = 6

10
Sara was thinking of a number. Sara adds 19 to it, then doubles it and gets an answer of 39.2. What was the original number?

Answers

Answer:

0.6

Step-by-step explanation:

2(x+19)=39.2

x+19=19.6

x=0.6

Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?

Answers

Answer:

$54

Step-by-step explanation:

300 times 0.06 times 3

0.06 times 3 = 0.18

300 times 0.18 = 54

The simple interest is $54

Answer:

$54

Step-by-step explanation:

A = P(1 + rt)

300(1 + (0.06 × 3)) = 354

Which one, please?!
Quickly!

Answers

Answer:

c) FJ and GH

Step-by-step explanation:

A set of perpendicular lines form 90 degrees. We can see a 90 degree “square” in the image formed by FJ and GH.
So the answer is choice C) FJ and GH

X+3y=-2
3x+4y=-6
USE SYSTEMS BY SUBSTITUTION.

X=
Y=

Answers

Answer:

X=-2

Y=0

Step-by-step explanation:

X+y=-2 = x=-2-y

3x+4y=-6

3(-2-y)+4y=-6

-6-3y+4y=-6

y=0

x+3(0)=-2

x=-2

Answer:

[tex]\boxed {\boxed {\sf (-2,0)}}[/tex]

Step-by-step explanation:

To solve by substitution we must first isolate 1 variable in an equation.

Let's use the first equation.

[tex]x+3y= -2[/tex]

Subtract 3y from both sides to isolate the variable x.

[tex]x+3y-3y= -2 -3y[/tex]

[tex]x= -2 -3y[/tex]

Now we can substitute the expression (-2-3y) in for x in the second equation.

[tex]3x+4y= -6[/tex]

[tex]3(-2-3y)+4y= -6[/tex]

Distribute the 3. Multiply each term inside the parentheses by 3.

[tex](3*-2)+ (3*-3y)+4y=-6\\-6-9y+4y=-6[/tex]

Combine the like terms on the left side.

[tex]-6-5y= -6[/tex]

Add 6 to both sides to isolate the variable.

[tex]-6+6-5y=-6+6\\-5y=0[/tex]

Divide both sides by -5.

[tex]-5y/-5=0/-5 \\y=0[/tex]

Now we know that y is equal to 0 and can substitute it into the first equation and find x.

[tex]x+3(0)=-2[/tex]

[tex]x+0=-2 \\x= -2[/tex]

x is equal to -2 and y is equal to 0.

PLEASE HELP ASAP is this relationship linear, exponential, or neither?

Answers

Answer:

neither

gfhhhufkufjkg


I need help please it’s due tomorrow

Answers

Answer:

<E(it is obtuse), <C, <D

The angle opposite to the longer side is greater than the angle opposite to the shorter side

^^for the second one use the same logic <C, <B, <A

Sam is planning to open a pool cleaning business from his home. Sam’s business will come with a set-up cost of $9,000 and an annual operational cost of $30,500. Sam anticipates an annual profit of $45,000 for the first year and expects profits to increase by 5.5% annually for the next 5 years.

This is all information Sam should include in the _____ component of his business plan.
a.
organization plan
b.
financial analysis
c.
executive summary
d.
implementation plan

Answers

Answer:

The correct answer is B. Financial analysis.

Step-by-step explanation:

Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.

Answer:

B.

Step-by-step explanation:

Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?

Answers

Answer:

He made $414.90 in all.

Step-by-step explanation:

56.25 * 6 = $337.50

25.80 * 3 = $77.40

77.40 + 337.50 = $414.90

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