you are given two sequences tn=4+(n-1)7 and Sn=4(2)^n-1. Without calculating, which term is bigger t534 or S534? why?

Answers

Answer 1

Answer: 2^534 would be an absolutely huge number.

4+533*7 wouldn't get near 4*(2^534)-1.

Related Questions

Prove the identity 2sin^2x - 1 = sin^2x - cos^2x
Give all solutions if the nonlinear system of equations, including those with no real complex components.y=x^2+6x 4x-y=-24
If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form
Solve each system by any method you choose. Which is the x-value of the solution?7x + 4y + 7 = 2x + 6y + 5 + 4x -2x + 7y -1 = 13y + 2 - 5x - 10
Two road crews, working together, repaired 1 mile of road in 4 hours. working separately, one of the crews takes about 6 hours to repair a similar road. how much time would the other crew, working alone, need to repair a similar road?

Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will last 10 years. The rules of the competition are simple. Each child can split up his or her $2000 into as many separate investments as they please. The children are encouraged to do their research on types of investments. The initial investments made may not be changed at any point during the 10 years; no money may be added and no money may be moved. Whichever child has made the most money after 10 years will be awarded an additional $10,000. Child Performance of investments over the course of the competition Albert $1000 earned 1.2% annual interest compounded monthly $500 lost 2% over the course of the 10 years $500 grew compounded continuously at rate of 0.8% annually Marie $1500 earned 1.4% annual interest compounded quarterly $500 gained 4% over the course of 10 years Hans $2000 grew compounded continuously at rate of 0.9% annually Max $1000 decreased in value exponentially at a rate of 0.5% annually $1000 earned 1.8% annual interest compounded biannually (twice a year) 1. What is the balance of Albert’s $2000 after 10 years? 2. What is the balance of Marie’s $2000 after 10 years? 3. What is the balance of Hans’ $2000 after 10 years? 4. What is the balance of Max’s $2000 after 10 years? 5. Who is $10,000 richer at the end of the competition?

Answers

The balance of Albert is $2159.07; the balance of Marie is $2244.99, the balance of Hans is $2188.35, and the balance of Max is $2147.40. Marie is $10,000 richer at the end of the competition.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To determine the balance of Albert’s $2000 after 10 years :

If the amount of $1000 at 1.2 % compounded monthly,

A = P(1 +r/n)ⁿ n = 10 years

here P = $1000 and r = 1.2

A = 1000(1 + 0.001)¹²⁰

A = $1127.43

If Albert $500 losing 2%

So 0.98 × 500 = $490

If $500 compounded continuously at 0.8%

So A = P $e^(rt)$

A = 500 $e^(0.008* 10)$

A = 541.6

So the balance of Albert’s $2000 after 10 years :

Total balance = 1127.43 + 490.00+ 541.64 = $2159.07

To determine the balance of Marie’s $2000 after 10 years:

If 1500 at 1.4 % compounded quarterly,

A = 1500(1 + 0.0035)⁴⁰ = $1724.99

If $500 Marie’s gaining 4 %

So 1.04 × 500 = $520.00

So the balance of Marie’s $2000 after 10 years

Total balance = 1724.99 + 520.00 = $2244.99

To determine the balance of Hans’ $2000 after 10 years:

If $2000 compounded continuously at 0.9%

So A = 2000 $e^(0.009* 10)$

A = $2188.3

To determine the balance of Max’s $2000 after 10 years :

If $1000 decreasing exponentially at 0.5 % annually

So A = 1000(1 - 0.005)¹⁰= $951.11

If $1000 at 1.8 % compounded bi-annually

So A = 1000(1 + 0.009)²⁰ = $1196.29

So the balance of Max’s $2000 after 10 years

Total balance = 951.11 + 1196.29 = $2147.40

Therefore, Marie is $10,000 richer at the end of the competition.

Learn more about Compound interest here :

brainly.com/question/25857212

#SPJ2

Answer:

Step-by-step explanation:

Albert:

$1000 earned 1.2% annual interest compounded monthly

= 1000 (1+.001)120

(periodic interest = .012/12 ,n is periods = 10yr x 12 mos)

$500 lost 2% over the course of the 10 years

= 500 (.98)

$500 grew compounded continuously at rate of 0.8% annually

= 500 e^008(10) 10 years interest .008 (in decimal form)

Add these three to see how Albert did with his investments

A football stadium holds 52,000 fans. A college student is doing research and determines that on any given game day, the home team has five times as many fans as the visiting team. In order to help the student in his research, he represents the number of home team tickets as H and the visiting team’s tickets as V.

Answers

If H represents the tome teams tickets and V represents the visiting teams then it would be v+h(5)=52,000.
V= 8,667 tickets
H= 43,333 tickets

Evaluate the cube of a fraction number (4/7)3

Answers

Answer:

$(64)/(343)$

Step-by-step explanation:

$((4)/(7)) ^(3)$

= $(4^3)/(7^3)$

= $(64)/(343)$

Does anyone know how to do thiss

Answers

$Slope~formula = (y_2-y_1)/(x_2-x_1) = (-1 (1)/(2)- (1)/(2) )/(2 (1)/(2)-\left ( -(1)/(2) \right) ) = (-2)/(2 (1)/(2) + (1)/(2) ) = (-2)/(3) =\boxed {- (2)/(3) }$

Jeff hikes 1/2 mile every 15 minutes,or 1/4 hour.Lisa hikes 1/3 miles every 10 minutes, or 1/6 hour.How far do they each hike in 1 hour ?2 hour?

Answers

Answer: They hike 30 miles and 20 miles in 1 hour respectively and they hike 60 miles and 40 miles in 2 hours respectively.

Step-by-step explanation:

Since we have given that

Number of mile Jeff hikes in every 15 minutes = $(1)/(2)$

As we know that

1 hour = 60 minutes

So, number of mile Jeff hikes in every 1 hour = $(1)/(2)* 60=30\ miles$

number of miles Jeff hikes in every 2 hours = $30* 2=60\ miles$

Number of miles Lisa hikes in every 10 minutes = $(1)/(3)$

Number of miles Lisa hikes in every 1 hour = $(1)/(3)* 60=20\ miles$

Number of miles Lisa hikes in every 2 hours = $20* 2=40\ miles$

Hence, they hike 30 miles and 20 miles in 1 hour respectively and they hike 60 miles and 40 miles in 2 hours respectively.

jeff hikes 1 mile every 30 min so in one hour he hiked 2 miles and in 2 hours he hiked 4 miles. im sorry but im not sure about lisa

Is a square a cross section of a rectangular and triangular prism?

Answers

Answer:

No, a square is NOT the cross section of a rectangular and triangular prism.

Step-by-step explanation:

Prisms have a uniform cross-section and are named after their cross-section. Hence, the cross-section of a rectangular prism is a rectangle and the cross-section of a triangular prism is a triangle. The only prism with a square cross-section is a cube.

Other Questions

3 + yi = x - 7i Find the real numbers for X AND y that make the equation true

2 The density of a substance can be determinedby finding the unit rate that compares mass tovolume. A nugget of gold has a mass of463.2 grams and a volume of 24.0 milliliters.What is the density of gold?F 11,116.8 g/mLG 439.2 g/mLH 0.052 g/mLJ 19.3 g/mL

List the six elements necessary for life and give examples of three molecules that contain those elements?

You randomly choose a marble from a jar. The jar contains 4 red marbles, 10 blue marbles, 7 green marbles, and 6 yellow marbles. Find the probability of the event. Not choosing a blue marble.