Which term of the arithmetic sequence 1, 5, 9, 13, ... is 169?
It is the
th term.

Answers

Answer 1

Answer:

43rd term

Step-by-step explanation:

Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.

So, (169-1)/4=42.

This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!


Related Questions

Solve for x

x+0.15x=3.45

Answers

Answer:

thanks for the points new comer you will get use to it

Will give brainly crown
Jared’s average daily balance for last month was $560. The finance charge was $8.12.

a. What was the monthly percentage rate?
b. What was the APR?

Answers

Answer:

A) monthly percentage rate = 1.45%

B) APR = 17.4%

The monthly percentage rate was 1.45 % and the annual percentage rate was 17.4%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Jared’s average daily balance for last month was $560. The finance charge was $8.12.

We have to determine the monthly percentage rate.

The monthly percentage rate is the percentage ratio of the finance charge to the average daily balance.

The monthly percentage rate = finance charge / average daily balance

The monthly percentage rate = $8.12 / $560 × 100

The monthly percentage rate = 0.0145 × 100

The monthly percentage rate = 1.45 %

The Annual percentage rate = 12 × monthly percentage rate

The Annual percentage rate = 12 × 1.45 %

The Annual percentage rate = 17.4 %

Therefore, the monthly percentage rate was 1.45 % and the annual percentage rate was 17.4%.

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I NEED THE ANSWER ASAP. IM BEING TIMED

The following information is known about a savings account.
Time = 6 years
Interest rate = 1.9%
Principal = $850
What amount of total interest will be earned at the end of year 6?

Answers

Answer:

96.90

Step-by-step explanation:

I = PRT

T = 6

P = 850

I = 1.9% = 0.019

I = (850)(0.019)(6) = 96.90 <==

solve for missing side of the right triangle, round to the nearest tenth .

Answers

Pythagorean theorem
a^2 + b^2 = c^2
Let’s say a = 6 and b = 11
6^2 + 11^2 = c^2
36 + 121 = c^2
c^2 = 157
C = squareroot of 157
C = 12.5

Solution: 12.5 m

Find the distance between points X and M

Answers

Answer:

i want to say 4 or -4?

Step-by-step explanation:

uhhh

Answer:

-4

Step-by-step explanation:

-6

-5

-4

-3

-2

so in the middle there is 4 so its -4

Andrew measured a line to be 11 inches long. If the actual length of the line is 11.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

3.5

Step-by-step explanation:

Error=11.4-11=0.4

Percentage error = (0.4/11.4) × 100 = 3.5 to the nearest tenth

The percent error in estimate is 3.5%

What is error?

In practical mathematics, error is the distinction between a true value and an approximation, or approximate, representation of that value. A common example in statistics is the difference between the mean of the entire population and the mean of a sample picked from that population. An example of a round-off error in numerical analysis is the difference between an irrational number's actual value and the value of rational expressions.

Given

measured value  = 11 inches

actual value = 11.4 inches

percent error = ((actual value - Estimate value)/actual value)100

percent error =  ((11.4 - 11)/11.4)100

percent error = 0.03508 x 100

percent error =  3.508% = 3.5%

Hence the percent error is 3.5%.

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George Anderson takes out $30,000 of a twenty-payment life insurance. If he is twenty-six years old, what annual premium does he pay?

Answers

Annual premium=$846.90

How do you solve for x

3x^2 = -24x

Answers

[tex]3x^2 = -24x \\\\\implies 3x^2 +24x =0\\\\\implies x^2 +8x = 0\\\\\implies x(x+8) =0\\\\\implies x =0~~ \text{or}~~ x = -8[/tex]

Step-by-step explanation:

3x² = -24x

Divide through by x

3x = -24

x = -24/3

x = -8

Two sisters share an inheritance of $1 million by a ratio of 2:3. How much does each sister inherit

Answers

Answer:

$400,000 and $600,000

Step-by-step explanation:

2x = one sister amount

3x = the other sister amount

Total money = $1,000,000

5x = 1,000,000

 x =  1,000,000/5

 x = 200,000

2x = 2(200,000)  = $400,000

3x = 3(200,000) = $600,000

Check:  one sister amount + the other sister amount = $1, 000,000

              $400,000 + $600,000 = $1,000,000

ratio 2:3=2+3=5

so the first sisters share is

(2/5×1,000,000)

=200,000×2

=400,000.....thats the first sisters share

so....the second sister's share is

(3/5×1,000,000)

=3×200,000

=600,000.....thats the second sisters share

and to check if your answer is correct

you can add both of their shares

600,000+400,000=1,000,000.

Write the slope-intercept form of the equation of the line that has slope -9 and passes
through the point (4,6).

Answers

Answer:

y = - 9x + 42

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 9 , then

y = - 9x + c ← is the partial equation

To find c substitute (4, 6 ) into the partial equation

6 = - 36 + c ⇒ c = 6 + 36 = 42

y = - 9x + 42 ← equation of line

Solve each system by elimination
7x + 8y = -29
-3x -8y = 17

Answers

4x=-12
x= -3
Now that we know the value of x we plug that value into the first equation to solve for y
7(-3) +8y=-29
-21+8y= -29
8y=-8
y= -1

three friends arrive at a party. their arrival increases the number of people at the party by 20%. in total,how many are there at the party now

Answers

Answer:

12

Step-by-step explanation:

The lines represented by the equations 2y - 3x = 14 and y - 3/2x= 7 are

Answers

Answer:

00000

Step-by-step explanation:

Help me pleassssssssssssssss

Answers

Answer:

C

Step-by-step explanation:

A square carpet covers 75% of the area of the floor.The floor is 8 meters by 8 meters. (a) What are the dimensions of the carpet? (b) What area of the floor is not covered by carpet?

Answers

Answer:

The dimensions of the carpet are 4√3m by 4√3m.

16m² are not covered by the carpet.

Step-by-step explanation:

The area of an 8m by 8m floor is 64m².

[tex]8*8=64[/tex]

A)

First, 75% of that area is 48m².

[tex]64*0.75=48[/tex]

Now we need to find the dimensions of the square carpet. Because it is a square, the length and width have to be the same.

[tex]x*x=48\\x^2=48\\x=\sqrt{48}[/tex]

There's 2 ways to simplify that further as it is not a perfect square. Either just use a calculator to find the root, or factor it out. I won't show how to factor that here as it's not directly relevant, but I can explain it if you're interested.

The 2 solutions are:

[tex]x=6.9282...\\x=4\sqrt{3}[/tex]

The dimensions of the carpet are 4√3m by 4√3m.

B)

Now to find the area that is not covered, just subtract the area that is covered from the total.

[tex]64-48=16[/tex]

16m² are not covered by the carpet.

What is the area of the shaded portion of the square?

Answers

Answer:

Maybe 34cm

Sana makatulong..

Answer:

144.5 cm^3

Step-by-step explanation:

17 x 17 = 289
289 divided by 2 (because half of the square is shaded)

Which equals 144.5 cm ^3

Simplify square root of negative 49.

Answers

Answer

7 i i think

Step-by-step explanation:

Can someone help me with this question? I've been stuck on it for a while :(

Answers

Answer:

  f(x) = x³ -4x² -5x +20

Step-by-step explanation:

If the function is to have rational coefficients, each complex or irrational square root must have a matching conjugate. That is, both -√5 and +√5 must be roots. If there is a root p, then there is a factor (x -p). The factored form of the minimal polynomial is ...

  f(x) = (x -4)(x +√5)(x -√5)

  = (x -4)(x² -5)

  f(x) = x³ -4x² -5x +20

Multiplication:
(a) 7/3×2/9 (b) 3/7×5/11 (c) 15/8×6/25 (d) 21/20×15/14
Division:
(a) 3/4÷5/7 (b) 9/5÷6/11 (c) 15/8 ÷6 (d) 8/7÷12
Culcul constant des fractions:
(a) 3/7+15/7×3/2 (b) 9/5×(1/4-5/12) (c) (3/8+7/5)÷(9/4-5/3)​

Answers

Multiplication:-

a. 7/3 × 2/9 = 7x2/3x9 = 14/27.

b. 3/7 × 5/11 = 3×5/7×11 = 15/77.

c. 15/8 × 6/25 = 3×3/4×5 = 9/20.

d. 21/20 × 15/14 = 3×3/4×2 = 9/8.

Division:

a. 3/4 ÷ 5/7 = 3/4 x 7/5 = 21/12 = (3 x 7) / (3 x 4) = 7/4

b. 9/5 ÷ 6/11 = 9/5 x 11/6 = 99/30 = (3 x 33) / (3 x 10) = 33/10

c. 15/8 ÷ 6 = 15/8 x 1/6 = 15/48 = (3 x 15) / (3 x 16) = 15/16

d. 8/7 ÷ 12 = 8/7 x 1/12 = 8/84 = (4 x 2) / (4 x 21) = 2/21.

Culcul constant des fractions:

a. 3/7 + 15/7 x 3/2

= 3/7 + 45/14

= (3 x 2) / (7 x 2) + 45/14

= 6/14 + 45/14

= 51/14

b. 9/5 x (1/4 - 5/12)

= 9/5 x [(1 x 3) / (4 x 3) - 5/12]

= 9/5 x (3/12 - 5/12)

= 9/5 - 2/12

= (9 x 12) / (5 x 12) - (2 x 5) / (12 x 5)

= 108/60 - 10/60

= 98/60

= (2x 49) / (2 x 30)

= 49/30.

c. (3/8 + 7/5) ÷ (9/4 - 5/3)

= [(3 x 5) / (8 x 5) + (7 x 8) / (5 x 8)] ÷ [(9 x 3) / (4 x 3) - (5 x 4) / (3 x 4)]

= (15/40 + 56/40) ÷ (24/12 - 20/12)

= 71/40 ÷ 4/12

= 71/40 x 12/4

= 852/160

= (4 x 213) / (4 x 40)

= 213/40.

Hope this helps..

pls help with these, at least up to finishing question 2 or Question 3b​

Answers

Answer:

For question 3b the answer is no because the common difference is 4

Step-by-step explanation:

6,10,14,18,22,26,30,34

It will be 34 not 33

I’ll give brainliest, thanks and 5 stars

the diameter of a pool is 28 m. the circumference of the deck is 101 m. what is the area of the pool and deck?

Answers

Answer:

ok

Step-by-step explanation:

soln,

d=28m

r=d/2=28/2

=14m

now,

[tex]\pi {r}^{2} [/tex]

22/7×(14×14)

22/7×196

=616m^2

For f(x) = -5x-2, evaluate f(5)

Answers

Answer:

x=5

f(x)= -5x-2

f(5)= -5(5)-2

f(5)= -25-2

f(5) = -27

Answer:

See below:

Step-by-step explanation:

So we know that [tex]f(x)=-5x-2[/tex] therefore to find out what [tex]f(5)[/tex] is we can insert/replace [tex]x[/tex] with 5 due to it being a function, after we do that, we get this:

[tex]f(5)=-5(5)-2[/tex]

Using algebra, we an find out that [tex]f(5)=-27[/tex]

Cheers!

write the value of (2+root3)(2-root3)

Answers

Answer: 1

Step-by-step explanation: use foil and get 4-3.

the answer is abffj uynjy uymn mhk um

Answers

yes because the political aspect of this question

you and your friends are going to the movies.You bought 5 tickets and spent 12.50 for popcorn.Your total was $80.Write and solve an equation to calculate the cost of each ticket

Answers

80=5x+12.5

We just use the equation y=mx+b. Where 80 is our Y, 5 is our slope, or m, and 12.5 is our constant, or b.

For the giggles I'll also solve the equation.

80-12.5=5x

67.5=5x

67.5 / 5 = x

13.5 = x

This means that each ticket was $13.5. Wow, that's an expensive ticket.

I hope this helps! :)

Answer:

I will answer soon aim coming

A rectangle has an area of 1,450.8 square inches and a base of 37.2 inches. What is the height?

Answers

Answer:

39

Step-by-step explanation:

1450.8 / 37.2 = 39

Billy wants to save $3,720 so that he can buy the car he wants. If Billy can save $30 per day, how many days will it take him to save enough money?

Answers

It will take billy 124 days to save enough

Answer:

The Answer Above Is Right =)

Step-by-step explanation:

PLEASE HELP!!!!


The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. In which attempts did he improve by more than 8
seconds from the previous attempt? Check all that apply.



Answers

Answer:

I think it's 2 and 5

Step-by-step explanation:

I hope this helps

Answer:

4,6,2,7

Step-by-step explanation:

Rachel has 16 chocolate bars . Tracy takes 4 and asks for the remaining quarter. what would she end up with?

Answers

Answer:

Rachel ends up with 9 chocolate bars.

Step-by-step explanation:

16 - 4 = 12

quater is 1/4, so

12 / 4 = 3

12 - 3 = 9

Answer:

9 chocolate bars

Step-by-step explanation:

Rachel had 16 chocolate bars and Tracy takes (minus) 4.Now she has 12.

Tracy asks for the remaining (12) quarter. A quarter is 1/4, and a quarter of 12 is 3.

That leaves Rachel with 9, because 12 - 3 is 9.

I’m stuck pls help thanks

Answers

Answer:

[tex](C) \ a=\frac{1}{b}.[/tex]

Step-by-step explanation:

(a+b)²=a²+b²+2;

a²+2ab+b²=a²+b²+2;

2ab=2;

ab=1

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