if f(1)= 10 and f(n)=f(n-1)+4 then find the value of f(5)

Answers

Answer 1

Answer:

f(5)=26

Step-by-step explanation:

hello :

f(n)=f(n-1)+4   means :  f(n)-f(n-1)=4  (comon diference for arithm - sequence)

so : f(n) =f(1)+(n-1)×4

f(n) =10+(n-1)×4

f(n) = 4n+6

f(5) = 4(5)+6 =26


Related Questions

How much money will
be spent in interest
alone over the course of
the 4% 30-year
mortgage described in
the table?

Answers

Answer:

the answer is 4,800 dollars

Step-by-step explanation:

Interest is amount added for time. In this case, every dollar borrowed will require 1.04 back. This may not seem like much, but it leads to a lot. Multiplying 120,000 by .04, which is 4 % in decimal form, will give you 4,800 dollars.

Hope this helps!

What is the solution to the equation t minus 15 = 76?
t minus 15 = 76. t minus 15 minus 15 = 76 + 15. t = 91.

t minus 15 = 76. t minus 15 + 15 = 76 + 15. t = 91.

t minus 15 = 76. t minus 15 minus 15 = 76 minus 15. t = 61.

t minus 15 = 76. t minus 15 + 15 = 76 minus 15. t = 61.

Answers

Answer:

4. / D.

Step-by-step explanation:

[tex]t-15=76\\t=76-15\\t=61[/tex]

Answer:

The answer is B

Step-by-step explanation:

I got it right

:-)




50°
What is the value of x?

Answers

Answer:

65

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

one of the angle is given as 50 degrees so:

50 + x + x = 180

50 + 2x = 180 subtract 50 from both sides

2x = 130 divide both sides by 2

x = 65

How many pairs of corresponging angles are formed when a transeversal is cut by 2 parallel lines?

Answers

Answer: 4

Step-by-step explanation:

There are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,

What are parallel lines?

Parallel lines are the lines that do not intersect or meet each other at any point in a plane.

They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.

If two parallel lines are intersected by a transversal, then corresponding angles are congruent.

The angles are called corresponding angles. If two parallel lines are cut by a transversal, the corresponding angles are congruent.

When a line is cut by a transversal, 4 angles are formed,

2 angles are >=90° while 2 are <=90°

So when we take 2 parallel lines, 4 pairs are formed.

Hence, there are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,

To know more about parallel lines click the link given below.

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The measure of supplementy is an angle which is (a) 36° (b) 144° (c) 79° (d) 101°​

Answers

Answer:

Supplementary angles add up to = 180. Whatever the value of x is must add up with one of these answer choices to = 180 degrees. I am not provided this information, so this is all I got.

Step-by-step explanation:

Hei has $1,400 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional deposits of $1,400. After 5 years, what was her account balance if she did not make any withdrawals? Round each year's interest to the nearest cent if necessary. HELP ASAP

Answers

Answer:

$7886.16

Step-by-step explanation:

If the balance increases by 4%, it will be 104% of the original amount.  104% as a decimal is 1.04.  Therefore, to calculate the balance with annual compound interest applied, multiply the balance of the account by 1.04 each year.

As Hei makes additional deposits of $1,400 for each year after the 1st year, add $1,400 to the account balance from year 2 onwards before adding the interest.

Let A = account balance

After 1 year

A = 1400 × 1.04 = $1456

After 2 years

A = (1456 + 1400) × 1.04 = $2970.24

After 3 years

A = (2970.24 + 1400) × 1.04 = $4545.05

After 4 years

A = (4545.05 + 1400) × 1.04 = $6182.85

After 5 years

A = (6182.85 + 1400) × 1.04 = $7886.16

Therefore, after 5 years her account balance will be $7886.16

check please :D
12345678901234567890

Answers

Answer: All but one was right

1. 0 (correct)

2. 34 (correct)

3. 398 (correct)

4. -350 (correct)

5. 20 (correct)

6. 200 (wrong)

7. 48 (correct)

8. -1000(correct)

9. 150 (correct)

10. -55 (correct)

Step-by-step explanation:

(2x5)x(9÷3)+4=10x3+4=30+4=34

4(25x8÷2)+3-5=4(200÷2)+3-5=4x100+3-5=400+3-5=403-5=398

-10x20-30(5)=-200-150=-350

5x10-30=50-30=20

4(50-20÷4)+20=4(50-5)+20=4x45+20=180+20=200

3x4(20÷5)=12x4=48

-20(50x2)+5(200)=-20x100+5x200= -2000+1000=-1000

20x5+70-20=100+70-20=170-20=150

-5+10x(-5)==5+-50=-55

Answer:

1. 0

2. 34

3. 398

4. -350

5. 20

6. 200

7. 48

8. -1000

9. 150

10. -55

Step-by-step explanation:

-2 + 5 - 3

3 - 3 = 0

----------------

2 × 5(9 ÷ 3) + 4

2 × 5(3) + 4

2 × 15 + 4

30 + 4 = 34

------------------

4(25 × 8 ÷ 2) + 3 - 5

4(200 ÷ 2) + 3 - 5

4(100) + 3 - 5

400 + 3 - 5

403 - 5 = 398

------------------

-10 × 20 - 30(5)

-200 - 150 = -350

-----------------

5 × 10 - 30

50 - 30 = 20

----------------

4(50 - 20 ÷ 4) + 20

4(50 - 5) + 20

4(45) + 20

180 + 20 = 200

--------------------

3 × 4(20 ÷ 5)

3 × 4(4)

3 × 16 = 48

----------------

-20(50 × 2) + 5(200)

-20(100) + 1000

-2000 + 1000 = -1000

----------------

20(5) + 70 - 20

100 + 70 - 20

170 - 20 = 150

----------------

-5 + 10(-5)

-5 + -50 = -55

------------------------

The only one I see wrong is "4(50 - 20 ÷ 4) + 20"

I hope this helps!

I will mark the right answer brainliest

Answers

Answer:

∠TAN = 36°

Explanation:

The figure shows an isoceles triangle.

An isoceles triangle has two equal sides and equal angle measure.

The total interior angle of a triangle sum ups to 180°

∠TAN = ∠TNA

=========

∠TAN + ∠TNA + ∠ATN = 180°2∠TAN = 180° - 108°2∠TAN = 72°∠TAN = 36°

Answer:

B

Step-by-step explanation:

the sides of a regular pentagon are congruent , then

AT = NT and so Δ TAN is isosceles with base angles congruent , so

∠ TAN = [tex]\frac{180-108}{2}[/tex] = [tex]\frac{72}{2}[/tex] = 36° → B

I WILL GIVE BRAINLIEST! PLEASE ANSWER CORRECTLY!

4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.


5. Create a graph of the polynomial function you created in Question 4

Answers

Answer:

4. equation: f(x)=(x-2)(x-1)

direction: parabola faces up bc a is positive

y-intercept: (0,2)

zeros/x-intercepts: (1,0) & (2,0)

5. graph is attached (i used desmos)

A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
33 miles
83 miles
120 miles
270 miles

Answers

Answer:

270 Miles

Step-by-step explanation:

18 miles per gallon

15 gallons

Basically count 18, 15 times

18*15=270

The van can travel 270 miles

the current value of an item is 300000 at tge beginning of the year ,of its value at the end of every year is ¾ of the value at the beginning of the year find its value after 5 years​

Answers

Answer:

71191.4 to the nearest tenth.

Step-by-step explanation:

Value after 5 years = 300000(3/4)^5

= 71191.41

Aja can harvest a field in 13 hours. One day her friend Khia helped her and it only took 6.24 hours. How long would it take Khia to do it alone?

Answers


I think it is 7.36 hours

Which ordered pair is a solution of the inequality y < 3x + 1
A. (-3,2)
B. (3,14)
C. (1, -3)
D. (1,6)

Answers

Answer:

c

Step-by-step explanation:

1=x

-3=y

then you plug it in. put the -3 in for the y and the 1 in for the x then you have the equation:

-3<3(1)+1

and solve it

-3<4+1

-3<5

Answer:

D

Step-by-step explanation:

y-3x < 1

D is answer

-3-3= -9

-9 <1

find the simple interest #70000 for 7 1/2 at 3% per annum​

Answers

Answer:

I think 1575000 but not sure sorry if i'm wrong

Sammy then $200 as a department store she bought three rings for $21 each and spend the rest on for equallypriced bracelets. How much did each bracelet cost? ​

Answers

Answer:

Step-by-step explanation:

3(21) + 4b = 200

63 + 4b = 200

4b = 200 - 63

4b = 137

b = 137/4

b = 34.25...so each bracelet (b) costs $ 34.25

Question 8 of 10
Which of the following are exterior angles? Check all that apply.
A. 4
B. 2
C. 1
D. 5
E. 3
F. 6

Answers

Answer:

A triangle's exterior angle is the angle established by one of the triangle's sides and the extension of one of the triangle's adjacent sides.

Step-by-step explanation:

FACTS:

Each vertex of a triangle has two exterior angles.

It's worth noting that the "outside" angles that are "vertical" to the angles inside the triangle aren't called to as triangle exterior angles.

1. The given triangle's angles are 1, 5, and 6.

2. Angle 3 is perpendicular to angle 5 on the inside.

3. The triangle's outside angles are 2 and 4.

The correct answers are A and B.

A triangle's exterior angle is the angle created by one of the triangle's sides and the extension of one of the triangle's adjacent sides.


A bottle of perfume is spherical with a diameter of 36 mm.
Calculate the capacity of the bottle, in mL.

Answers

24.4 mL

By converting mm to cm, we get

1 mm = 1/10 cm

18 mm = 18/10 cm

radius (r) = 1.8 cm

To find the volume,

Volume of sphere = 4/3πr3

= 4/3π(1.8)3

Volume = 24.4 cm3

To find the capacity,

1 cm3 = 1 mL

Capacity = 24.4 mL

URGENT!

7. At what rate was an investment made that obtains $359.80 in interest compounded annually on $668 over five years?


[compound interest rate]

Answers

Answer:

Rate = 13.173% per year

Step-by-step explanation:

**Not 100% sure about this answer, but I think it's right.**

Calculation Steps:

Solving for rate r as a decimal

r = n[(A/P)^1/^nt - 1]

r = 1 × [(668.00/359.80)^1/^(1)^(5) - 1]

r = 0.131731

Then convert r to R as a percentage

R = r * 100

R = 0.131731 * 100

R = 13.173%/year

solve linear systems by multiplying
3x+y=-15
2x-3y=23

Answers

Answer:

x=-2, y=-9

Step-by-step explanation:

Given that:

[tex]\begin{bmatrix}3x+y=-15\\ 2x-3y=23\end{bmatrix}[/tex]

Solution:

[tex]\mathrm{Isolate\;x\;for\;3x+y=-15:x=\frac{-15-y}{3}}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{-15-y}{3}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-15-y}{3}-3y=23\end{bmatrix}[/tex]

Simplify to:

[tex]\begin{bmatrix}\frac{-30-11y}{3}=23\end{bmatrix}[/tex]

[tex]\mathrm{Isolate\;y\;for\;\frac{-30-11y}{3}=23:y=-9}[/tex]

[tex]\mathrm{For\:}x=\frac{-15-y}{3}[/tex]

[tex]\mathrm{Substitute\:}y=-9[/tex]

[tex]x=\frac{-15-\left(-9\right)}{3}[/tex]

Solve:

[tex]x=-2[/tex]

Hence the answer is:

[tex]x=-2,\:y=-9[/tex]

~lenvy~

Kevin has a deck of cards. There are 10diamonds, 5 spades, 12 clubs and 3 hearts.A card was chosen at random. What is the
probability of not choosing a diamond card?

Answers

Answer: 2/3.

Step-by-step explanation: When you add all the spades, hearts, clubs, and diamonds cards together, you get 30 in total.  1/3 of the 30 cards in total are diamonds, so the other 2/3 can be drawn as well.  The probability of not choosing a diamond card is 2/3, since the remaining 1/3 is all diamonds.

Have a great day! :)

The inequalities x + 3 < -5 and -x > -8 are the same.

True False

Answers

Answer:

False

Step-by-step explanation:

x + 3 < -5

x < -8

-x > -8

x < 8

Both aren't same

A snack-size bag of pretzels contains 0.5 ounce. How many ounces of pretzels come in a bulk pack that contains 64 snack size bags.

Answers

PROBLEM SOLVING

[tex]__________________________[/tex]

Given:Each bag of pretzels contain = 0.5 ozAnswer & Solution:

64 x 0.5 oz = 32 oz

Therefore, 64 bags of pretzels contains 32 oz of pretzels.

What is the length of the line segment whose endpoints are A(-1,9) and B(7,4) in the simplest radical form?

Answers

length : [tex]\sf \sqrt{89}[/tex]

Explanation:

use the distance formula : [tex]\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

using the formula:

[tex]\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{64+25}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{89}[/tex]

Answer:

[tex]\sf \sqrt{89}[/tex]

Step-by-step explanation:

Let A = [tex]\sf (x_1,y_1)[/tex] = (-1, 9)

Let B = [tex]\sf (x_2,y_2)[/tex] = (7, 4)

Distance formula:

[tex]\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Input values into the distance formula and solve for d:

[tex]\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}[/tex]

[tex]\sf \implies d=\sqrt{8^2+(-5)^2}[/tex]

[tex]\sf \implies d=\sqrt{64+25}[/tex]

[tex]\sf \implies d=\sqrt{89}[/tex]

does anybody know what this mean? on the red circle?​

Answers

Answer:

It may be a division sign, if not I have no clue.

Step-by-step explanation:

I guess it is therefore. Not so sure.....

Which statement is correct for the graph of the specified function?
A) The rate of change for the linear function is 2.
B) The rate of change for the linear function is −1.
C) The maximum value of the quadratic function occurs at y = 4.
D) The minimum value of the quadratic function occurs at x = 4.

Answers

The correct statement regarding the function plotted in the graph is:

C) The maximum value of the quadratic function occurs at y = 4.

What is the rate of change of the linear function?

When x = 0, y = -7, and when x = -5, y = 8, hence the rate of change(change in y divided by change in x) is given by:

R = [8 - (-7)]/-5 - 0 = 15/-5 = -3

What is the maximum value of the quadratic function?

It is concave down, hence it has only a maximum value at y = 4 and not a minimum value, hence option C is correct.

More can be learned about functions at https://brainly.com/question/25537936

!!!WILL MARK BRAINLIEST!!

Answers

Answer:

B, F

Step-by-step explanation:

B, F is correct.

A, C, D, E, G, H is wrong.

[tex] < jkl = < qrs = < zxy = {47}^{0} [/tex]

[tex] < jlk = < zyx = < qsr = {29}^{0} [/tex]

Determine if the equation has no solution,one solution, or infinite many solution.

Give an explanation step by step.

-2(11-12)=-4(1-6x)​

Answers

Answer:

Step-by-step explanation:

-2(11-12)=-4(1-6x)​ becomes -2(-1) = -4(1 - 6x)

Next, we divide both sides by -2, obtaining -1 = 2(1 - 6x), and then

                                                                        -1 = 2 -12x, or

                                                                         -3 = -12x

Simplifying this result, we get 1 = 4x, or x = 1/4

We conclude that -2(11-12)=-4(1-6x)​ has ONE solution, which is x = 1/4

Please help with this question thanks! :`D Also please give me simple explanations thank you.

Answers

Answer:

Step-by-step explanation:

The last one.

A would be a quadratic if the leading coefficient was anything but 0. 0 eleminates the x^2. Not A

B has no x^2 term to begin with. B is not the answer.

C is in exponential form. C is not the answer

D has an x^2 term. There is nothing using x that is higher. D is the answer.

Find YZ and WZ in rectangle WXYZ.

Answers

Answer: WZ=10, YZ=15

Step-by-step explanation:

What is the slope of the line that passes through the points (2,8) and (12,20)?
Write your answer in simplest form.

Answers


First find slope we use : m=y2-y1/x2-x1

1) 20-8/12-2 = 8/10 in simple form 4/5

The slope of the required line is  [tex]\frac{6}{5}[/tex].

Equation of a Straight Line:In general form, the equation of a straight line is given by "y = m x + c", where, m is the slope of the line and c is the
Slope of a line is given by: m = [tex]\frac{difference of \ y \ co-ordinates}{difference of \ x \ co-ordinates} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

How to find the slope of the line passing through two points?Let the line passes through two points A(2,8) and (12,20).slope of the line, m
                            [tex]= \frac{y_2 - y_1}{x_2 - x_1} \\\\= \frac{20 - 8}{12-2} \\\\=\frac{12}{10} \\\\=\frac{6}{5}[/tex]

Thus, the slope of the line passing through (2,8) and (12,20) is [tex]\frac{6}{5}[/tex] .

Learn more about the slope of lines here:

https://brainly.com/question/3493733

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