Martina opens a savings account with an initial deposit and makes no other deposits or withdrawals. She earns interest on her initial deposit. The total amount of money in her savings account at the end of each year is represented by the sequence shown.
100, 105, 110.25, ...
Which recursive formula can be used to determine the total amount of money earned in any year based on the amount earned in the previous year?

A. f(n + 1) = f(n) + 5
B. f(n + 1) = 5f(n)
C. f(n + 1) = 1.05f(n)
D. f(n + 1) = 0.05f(n)

Answers

Answer 1

1.05 should be it

Step-by-step explanation:

In a recursive formula, each term of the sequence is found by using the previous term.  In this case, the sequence is geometric because we are multiplying each term by the same constant, called a common ratio.

To find this common ratio, we find the percent of change between terms.  We do this by using the formula

% change = (amount of change)/(original amount)

The amount of change between the first two terms is 105-100 = 5.  This makes the percent change

5/100 = 0.05

The amount of change between the second two terms is 110.25-105 = 5.25.  This makes the percent change

5.25/105 = 0.05

However, the common ratio in the sequence is not 0.05.  This is because multiplying by this decimal would make the terms decrease instead of increasing.  In this case, we are taking 100% of the number and adding an extra 5% (0.05 = 5%); this makes our common ratio 105% = 1.05.

This gives us the recursive formula

Answer 2

Answer:

the correct answer is C. f(n + 1) = 1.05f(n)

Step-by-step explanation:

just got it right 2020 edg


Related Questions

will somebody help me with this question 9 x 3/4

Answers

Answer:

Improper way: 27/4

Mixed number: 6 3/4

Step-by-step explanation:

To make it easier, put a 1 under the 9. So you get 9/1.

It should look like this:  9/1 x 3/4

Then simply multiply 9 and 3 then 1 and 4.

You get 27/4!

The amount of money and dollars that it cost to purchase x square feet of the carpet is given by f(x)= 8x the insulation feet is $125 more than 8% of the cost of the carpet right function of g that represents the insulation fee then use the function to find the insulation fee for 175 square feet of carpet

Answers

Answer:

The insulation fee for 175 square feet of carpet is $237.

Step-by-step explanation:

The amount of money, f(x), that it cost to purchase x square feet of the carpet is:

f(x)= 8x

The insulation fee,g(x), is $125 more than 8% of the cost of the carpet,f(x), we have

g(x)=8% of f(x)+125

[tex]\Rightarrow=\frac{8}{100}\times (8x)+125[/tex]

[tex]\Rightarrow=0.64x+125[/tex]

The insulation fee for 175 square feet of carpet,

i.e for x=175

[tex]g(x=175)=0.64\times175+125=237[/tex]

Hence, the insulation fee for 175 square feet of carpet is $237.

DMC Inc. Is planning to issue a $1,000 face value bond with an annual coupon rate of 10% that matures in 20 years. DMC is planning to pay semiannual interest payments. Similar DMC bonds are quoting at 95% of par. What is yield to maturity for this bond?

Answers

Answer: 10.6%

Step-by-step explanation:

Given the following :

Face value (FV) = $1000

Coupon rate (C) = 10% paid semianually

Time to maturity = 20 years ; number of periods =( 20 * 2) = 40 (Semi-annual)

Current trading price of bond = 95% * 1000 = $950

Payment per period = (10%) / 2 * 1000 = 0.05 * 1000 = 50

Inputting the parameters above into the the yield to maturity calculator with semiannual payment,

Yield to maturity (YTM) = 10.6%

3x3(2+3)x4 I need this asap

Answers

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

3x3(2+3) =

3x3(2+3) =3x 3(5) = 3x15 =

45

45x4 = 180

Julio is paid 1.4 times his normal hourly rate for each hour he works over 32 hours in a week. Last week he worked 43 hours and earned $535.62. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable.

Answers

Answer:

[tex]r = \$14.71[/tex]

Step-by-step explanation:

Given

Normal Hour = 32 hours

Overtime = Hours above 32

Rate for Overtime = 1.4 times normal rate

Earnings = $535.62

Required

Determine the normal hour pay

First, we need to determine the hours worked overtime.

This is:

[tex]Overtime = 43 - 32[/tex]

[tex]Overtime = 11[/tex]

The equation that binds all the parameters is:

[tex]Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate[/tex]

This gives:

[tex]535.62 = 21 * r + 11 * 1.4r[/tex]

[tex]535.62 = 21r + 15.4r[/tex]

[tex]535.62 = 36.4r[/tex]

Solve for r

[tex]r = 535.62/36.4[/tex]

[tex]r = \$14.71[/tex]

1/2 of 12 = 1/4 of ?

1/3 of 90 = 2/3 of?

Answers

Answer: 1/2 of 12 = 1/4 of 24 and 1/3 of 90 = 2/3 of 45

Step-by-step explanation:

Answer:

1. 1/4 of 24

half of 12 is 6.

6+6+6+6 = 24

1/4 of 24 is 6

1/2 of 12 is 6

2. 2/3 of 45

1/3 of 90 is 30

15+15+15 = 45

so 2/3 would be 30

Using the figure on the left, what is the measure of

Answers

Answer:

c = 30°

d = 60°

Step-by-step explanation:

Angle ZWC is a 90° angle

Angle YWX is a 60° angle

add them together and you get 150°

180 - 150 = c = 30°

c + d + 90° = 180°

substitute

30° + d + 90° = 180°

combine like terms

120° + d = 180°

subtract 120° from both sides

d = 60°

hope this helps!!

Answer:

c is 30 and d is 60

Step-by-step explanation:

I did it for hw

WILL GIVE BRAINLIEST
Find both the x and y intercepts of the following linear equation -4x + 5y = 20.

Answers

Answer:

x intercept is -5

y intercept is 4

Answer:

Step-by-step explanation:

-4x +  5y = 20

Divide the equation by 20

[tex]\frac{-4x}{20}+\frac{5y}{20} = \frac{20}{20}\\\\\\\frac{x}{-5}+\frac{y}{4}=1\\\\[/tex]

x intercept =  (-5)

y intercept = 4

Round 985,622 to the nearest hundred.

Answers

Answer:

985,600

Step-by-step explanation:

because it is 22 you round down

Answer:

985,600

Step-by-step explanation:

hope that helps

Find the slope
5x - 2y = 10

M=_______

Answers

whose equation is 5x – 2y = 10. term. Therefore: the slope is 5/2 and the y intercept is –5.

5/6 divided by 3 in simplest form. please help. quick.

Answers

The Answer is:

5/18

Step-by-step explanation:

5/6 ÷ 3 = 5/18

the answer is 5/18 for that question

Mason made 3/4 of a pound of trail mix if he puts 3/8 of a pound Into each bag how many bags can Mason fill? please show me how to work this out with the answer

Answers

Answer:

0.2815

Step-by-step explanation: you need to mulitply 3/4 times 3/8 and you will get  0.2815 hope this helped  

3:4 is equivalent to ____:20.

Answers

Answer:

4 time 5 equals to 20

3 times 5 is 15

15:20 is the answer

Step-by-step explanation:

The answer is 15 because 20 divided by 5 is 4 so you should times 3 by 5! Lmk and I can explain it better

which number are a distance of 7 units from 1 on the number line -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10

Answers

Answer:

8, -6

Step-by-step explanation:

I need help
3x - 9 = -33 x = -33
-14
-8
-16
-9
none of the above

Answers

Answer:

x = -8

Step-by-step explanation:

3x - 9= -33

     +9=-33+9

3x    = -24

3           3

x = -8

it's due very soon yelp :(

Answers

Answer:

b i guess

Step-by-step explanation:

Answer:

Definition of Midpoint

Step-by-step explanation:

C----------A---------T

it says that CA and AT are congruent so they are the exact same on both sides. And a midpoint has to be equal on both sides. And also they two points share the letter A which means it is in the middle. Get it midpoint.

Hope this helps!!

May I have brainliest!!

what is -37.27+(-13.2)

Answers

Answer:

-50.47

Step-by-step explanation:

So you see how there is a +(- ? That means to ignore the + and just subtract. BUT, when you subtract negatives it's simply adding them together.

So to do it you would say 37.27 + 13.2 which gives you 50.47. Then make it negative and boom there is your answer!

Mark brainliest if you can :D

Felicia has $350 to deposit into two different savings accounts. Felicia will deposit $200 into Account I, which earns 4.5% annual simple interest. She will deposit $150 into Account II, which earns 334% interest compounded annually. Felicia will not make any additional deposits or withdrawals. Which amount is closes to the total balance of these two accounts at the end of 6 years?

Answers

Total price after 6 years in Account I is :

[tex]P _1=P_o+\dfrac{P_ort}{100}\\\\P_1=200+\dfrac{200\times 4.5 \times 6}{100}\\\\P_1=\$254[/tex]

Total price after 6 years in Account II is :

[tex]P_2=P_o(1+\dfrac{r}{n})^{nt}\\\\P_2=150(1+\dfrac{3.34}{1})^{1\times 6}\\\\P_2=\$1002373.64[/tex]

Total balance, [tex]T=P_1+P_2=1002373.64+254=\$1002627.64[/tex]

Hence, this is the required solution.

Giving brainlist SO PLZ HELP

Shawn owns a lemonade stand and is trying to calculate his earnings. The problem is that his little brother keeps giving away cups of lemonade to his friends. Every time he does this, Shawn loses money. Each cup of lemonade costs Shawn $0.30 to make, and he sells them for $1.25 each. Last week, Shawn’s brother gave away 12 cups of lemonade.

Last week Shawn sold 26 cups of lemonade. What was his total profit based on how many cups he sold and his brother gave away?

A. $40.30

B. $13.40

C. $1.55

D. $0.95

Answers

Answer:A

Step-by-step explanation: I dont known

Number 2 please help quick .Asap

Answers

Problem 2, Part (a)

A = event elevator's 1st stop at the 2nd floor

P(A) = 3/4

Since the elevator needs to go up one floor

B = event elevator has its 2nd stop at the 3rd floor

P(B given A) = probability event B happens given event A happened

P(B given A) = 3/4

-----------

P(A and B) = P(A)*P(B given A)

P(A and B) = (3/4)*(3/4)

P(A and B) = 9/16

-----------

Answer: 9/16

===============================================================

Problem 2, Part (b)

A = event elevator's 1st stop at the 2nd floor

P(A) = 3/4

B = event elevator has its 2nd stop at the 3rd floor

P(B given A) = 3/4

C = event elevator has its 3rd stop at 4th floor

P(C given (A and B)) = 3/4

-----------

P(A & B & C) = P(A)*P(B given A)*P(C given (A and B))

P(A & B & C) = (3/4)*(3/4)*(3/4)

P(A & B & C) = 27/64

-----------

Answer: 27/64

===============================================================

Problem 2, Part (c)

A = event elevator's 1st stop at the 2nd floor

x = P(A) = 3/4

B = event elevator has its 2nd stop at the 3rd floor

y = P(B given A) = 3/4

C = event elevator has its 3rd stop at 2nd floor

z = P(C given (A and B)) = 1/4

D = event elevator has its 4th stop at 1st floor

w = P(D given (A & B & C)) = 1/4

-----------

P(A & B & C & D) = x*y*z*w

P(A & B & C & D) = (3/4)*(3/4)*(1/4)*(1/4)

P(A & B & C & D) = 9/256

-----------

Answer: 9/256

Composite functions
g(d) = 2d - 5
h(d) = -4d +3
Find (hºg)(d)

Answers

Answer:

[tex](h\circ g)(d)=-8d +23[/tex]

Step-by-step explanation:

Composite Function

Given g(d) and h(d) real functions, the composite function named (hog)(d) is defined as:

[tex](h\circ g)(d)=h(g(x))[/tex]

For practical purposes, it can be found by substituting g into h.

The functions g and h are given as:

[tex]g(d) = 2d - 5[/tex]

[tex]h(d) = -4d +3[/tex]

Substituting g into h:

[tex](h\circ g)(d)=-4(2d - 5) +3[/tex]

Operating:

[tex](h\circ g)(d)=-8d +20 +3[/tex]

[tex]\boxed{(h\circ g)(d)=-8d +23}[/tex]

Plz help with this question, I will mark you brainliest!

Answers

10.6

im assuming you dint need an explanation, just a quick answer. hmu if you do need one.

10.6
hope this helps x

100000000x3,000,000,000,x650000x-200x100-100000000=....?

Answers

51999999999999999000000

Answer:

Do you mean this 100000000* 300000000*650000*(-200)*100-100000000 if so the answer is -3.9E26

Step-by-step explanation:

Remove the parentheses from the (-200)

Multiply the numbers 100000000*300000000*650000*200*100

= -3.9E26-100000000

Subtract the numbers -3.9E26-100000000

= -3.9E26

Hope you enjoy this:) If you need me to explain it more I would love too:))

Please help me out!

Answers

Answer: Rotate 180 degrees around the origin

You can do this clockwise or counterclockwise.

Whenever we move from one quadrant to the complete opposite quadrant like this, we perform a 180 degree rotation. Connect any preimage point to its corresponding image point, and this segment will go through the origin. This works because the origin is the center of rotation, and only works with 180 degree rotations.

what 1 2/7 divided by 5 1/7

Answers

Answer:

0.25 as a decimal and 1/4 as a fraction

Hope this helps :)

Answer: 1/4

Step-by-step explanation:

(Not really sure how to explain it, but there's the answer.)

2 (3х + 5) = 22
Step by step please

Answers

Answer:

x = 2

Step-by-step explanation:

2(3х + 5) = 22

Divide both sides by 2.

3x + 5 = 11

Subtract 5 from both sides.

3x = 6

Divide both sides by 3.

x = 2

2(3x+5)=22
1. 6x+10=22
2. 6x=12
3. X=6

Mary bought two doughnuts and a carton of milk for $2.87. The carton of milk was $1.29. How much is one doughnut?
equation

Answers

Answer:

1000000000000000000000000000

Step-by-step explanation:

Answer:

$1.58

Step-by-step explanation:

Helpppp meee with this math

Answers

5/12

Since it has the same denominator, all you have to do is add the numerator and rewrite the denominator

an education budget went from %800,00 to $900,00 what is the approximate percent increase? a. The approximate percent increase is 13% b. The approximate percent percent increase is 89% c. The approximate percent increase is 98% d. The approximate percent increase is 113%


PLS ANSWER ME THIS IS URGENT 20 points

Answers

Answer:

D

Step-by-step explanation:

Because your going up 100,00 dollars so 100%

Herky is putting money into a savings account on a weekly basis to buy a DVD player that costs $179.40 including tax. He asks Mario how much he should save per week to buy the player in 8 weeks if he already has $35.00 saved. Mario gives him the answer and explains how he found the answer. What does Mario say?
He tells Herky he needs to save $18.05 per week. He explains that he found his answer by subtracting $35.00 from $179.40, then dividing the result by 8.
He tells Herky he needs to save $22.43 per week. He explains that he found his answer by dividing $179.40 by 8.
He tells Herky he needs to save $26.80 per week. He explains that he found his answer by adding $35.00 to $179.40, then dividing the result by 8.
He tells Herky he needs to save $57.43 per week. He explains that he found his answer by dividing $179.40 by 8, then adding $35.00.

Answers

Answer:

b

Step-by-step explanation:

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