mark has a coupon for 10% off his entire purchase. If Mark buys $41.00 worth of merchandise, how much will Mark spend?

Suppose a1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16. a) Find an explicit formula for an: . b) Determine whether the sequence is

lorasvet [3.4K]

I'm going to assume you meant to write fractions (because if $a_n$ are all non-negative integers, the series would clearly diverge), so that

$a_1=\dfrac12-\dfrac12$

$a_2=\dfrac23-\dfrac13$

$a_3=\dfrac34-\dfrac14$

and so on.

a. If the pattern continues as above, we would have the general term

$a_n=\dfrac n{n+1}-\dfrac1{n+1}=\dfrac{n-1}{n+1}$

b. Note that we can write $a_n$ as

$a_n=\dfrac{n-1}{n+1}=\dfrac{n+1-2}{n+1}=1-\dfrac2{n+1}$

The series diverges by comparison to the divergent series

$\displaystyle\sum_{n=1}^\infty\frac1n$

4 0

1 year ago

Roger bowled 7 games last weekend. His scores are 155, 165, 138, 172, 127, 193 , 142. What is the RANGE of Roger's scores?

Verdich [7]

Answer:

66

Step-by-step explanation:

In statistics, the formula for RANGE is given as the difference between the Highest and the Lowest value.

In the above values we are given data consisting of the 7 games that Roger bowled.

155, 165, 138, 172, 127, 193 , 142.

Step 1

We arrange from the least to the highest.

127, 138, 142, 155, 165, 172, 193

Step 2

Lowest value = 127

Highest value = 193

Step 3

Range = 193 - 127

= 66

Therefore, the range of Roger's scores is 66

4 0

2 years ago

a new coffee shop can hold no more than 50 seats the owner wants at least 20 of the seats to be stools and the remaining seats t

Snezhnost [94]

Attached

Step-by-step explanation:

From the question x is the number of stools and y is the number of recliners

Given that the coffee shop can hold no more than 50, then the inequality for number of seats will be;

x+y≤ 50

Also, the owner wants at least 20 of the seats to be stools, this can be written as;

x≥20

Using a graph tool to visualize the inequalities, you get the attached graph;

Learn More

Inequalities graph : brainly.com/question/11234618

Keyword : graph, inequalities

#LearnwithBrainly

7 0

2 years ago

Read 2 more answers

Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val

Cloud [144]

Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

$A(t) = Pe^{rt}$

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

$330 in an account in the year 1999

This means that $P = 330$

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

$A(t) = Pe^{rt}$

$590 = 330e^{8r}$

$e^{8r} = \frac{590}{330}$

$e^{8r} = 1.79$

Applying ln to both sides:

$\ln{e^{8r}} = \ln{1.79}$

$8r = \ln{1.79}$

$r = \frac{\ln{1.79}}{8}$

$r = 0.0726$

Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

$A(t) = 330e^{0.0726t}$

$A(10) = 330e^{0.0726*10} = 682$

The value of the account in the year 2009 will be $682.

4 0

2 years ago

Grogg typed the following $1000$ expressions into his calculator, one by one: \[\sqrt{1}, \sqrt{2}, \sqrt{3}, \sqrt{4}, \dots, \

sergey [27]

Answer:

pano po yan hinde ko po alam

Step-by-step explanation:

paturo po

5 0

1 year ago