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4 years ago

1. Generate the first 5 terms of this sequence:

1 answer:

3 0

1) f(1) = 0 ; f(2) = 1 ; f(n) = f(n-1) + f(n-2) , for n > 2

f(3) = f(3-1) + f(3-2) = f(2) + f(1) = 1 + 0 = 1
f(4) = f(4-1) + (4-2) = f(3) + f(2) = 1 + 1 = 2
f(5) = f(5-1) + (5-2) + f(4) + f(3) = 2 + 1 = 3

1st five terms of the sequence are 0, 1, 1, 2, 3

2) There is no graph. This question can't be answered.

3) <span>C. This is the average number of days the house stayed on the market before being sold for $250,000.</span>

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Choose the situation which would best be modeled by an exponential decay function.

fomenos

Answer:

Step-by-step explanation:

A is an arithmetic sequence in that is adds or subtracts the same amount.

B is also an arithmetic is that it takes the original 1000 and adds another 1000 for each year

C is a geometric sequence because it's losing 5× however many questions missed

D is the answer because it says it loses 10% every year, so it loses 10% of the previous year, not the beginning year.

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4 years ago

Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those pre

Stella [2.4K]

Answer:

111.35

Step-by-step explanation:

effective rate: .085/12= .00708333333333

$3000=x\frac{1-(1+.00708333333333)^{-30}}{.00708333333333}\\x=111.35$

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3 years ago

There are 15 coins, which are nickels and dimes only, in Ediths purse. The total value of the coins in her purse is $1.15. If n=

Goshia [24]

Answer:

n=7 d=8

Step-by-step explanation:

n+d=15 d=15-n

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-0.05n=-0.35

n=7 d=8

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2 years ago

Jesse deposited $3600 and a new regular savings account earns 6% interest compounded monthly. How much is in the account after o

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Step-by-step explanation:

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3 years ago

Read 2 more answers

S) Suppose that a local second hand store is selling grab bags for $20 each in order to get rid of excess stock. They have creat

mestny [16]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: monetary value of a grab bag. ($)

The possible values this variable can take are:

X: 15; 40; 60; 120

To calculate the relative frequency of each possible value of the variable you have to divide the number of times this value is observed by the total of observations (sample size)

There where a total of 300 bags created, from these, 40 cost $40, 20 cost $60, 1 cost $120, and the rest have a monetary value of $15.

There are then 300- (40+20+1)= 239 bags with a monetary value of $15

The frequencies for each value of X are:

X= 15 ⇒ p(X)= 239/300= 0.797

X= 40 ⇒ p(X)= 40/300= 0.133

X= 60 ⇒ p(X)= 20/300=0.067

X= 120⇒ p(X)= 1/300= 0.003

The probability distribution for X is:

Xi: 15; 40; 60; 120

p(Xi):0.797; 0.133; 0.067; 0.003

∑p(Xi)= 0.797+0.133+0.067+0.003=1

To calculate the mean you have to use the following formula:

E(X)= ∑Xp(X)= 15*0.797+40*0.133+60*0.067+120*0.003= 21.655≅ $21.7

The standard deviation is the square root of the variance:

Variance:

V(X)= ∑X²p(X)-(∑Xp(X))²= 676.525 - (21.655)²= 207.585

∑X²p(X)= 15²*0.797+40²*0.133+60²*0.067+120²*0.003= 676.525

Standard deviation:

√V(X)= √207.585= $14.407= $14.41

Considered the probability distribution, it is more likely to buy a $15 worth bag than any of the others, it is therefore not worthwhile to spend $20 in a bag full of merchandise worth $15.

I hope this helps!

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4 years ago