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4 years ago

7 and 8 please! Show work for both please! Thanks!

Mathematics

2 answers:

Arlecino [84]4 years ago

7 0

7) 12x 45/100 = $5.40
8) 360/3= 120 mile/hr
120x 11 = 1320

Crazy boy [7]4 years ago

4 0

7) he bought the shirt on 45%off. that's mean he saved 45%
and the price of the shirt is 12
so 12*45% = 12*[45/100] = 12*.45 = 5.40

the answer is b

8) (360*11)/3 = 1320

the answer is b

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Determine whether the series is convergent or divergent.

elixir [45]

Answer:

Step-by-step explanation:

Test for convergence or divergence of a series using Comparison test

Function.

Σ Sin(1/n). From n= 1 to n=∞

Comparison test states that

Let, 0 ≤ an ≤ bn

For all n

Then, if

Σbn converges then, Σan converge

Σan diverges then, Σbn diverge

I.e if the small series diverges, then, the big series diverges and if the big series converges then, the small series converges.

Let compare the given function to 1/n

1/n is greater than Sin(1/n)

0 ≤ Sin(1/n) ≤ 1/n

1/n is a positive number and it is always greater than 1.

We know that 1/n diverse from p series

P series says that,

Σ 1/n^p

If p≤1 then the series diverges

If p>1 the series converges

So when we compare this to 1/n, then p is equal to 1, therefore, the series diverges.

Now, comparing this to the comparison thereom

Since, the large series bn diverges, then the smaller series an diverges.

Then,

Σ 1 / n diverges implies that.

Σ Sin(1/n) diverges too

5 0

4 years ago

1) Mark has only used 8.5% of a 34-oz bottle of shampoo. How many ounces has he used?

marshall27 [118]

Answer:

2.89-oz of shampoo

Step-by-step explanation:

8.5% of a 34-oz

= 8.5/100 x 34-oz

= 0.085 x 34-oz

= 2.89-oz

8 0

3 years ago

Need help please. Kind of confused

muminat

What you do is look at the graph and whatever that line is on then that will be your answer.

7 0

4 years ago

Read 2 more answers

2. A bank representative studies compound interest, so she can better serve

Kaylis [27]

Answer:

Step-by-step explanation:

Given that a bank representative studies compound interest, so she can better serve customers. She analyzes what happens when $2,000 earns interest several different ways at a rate of 2% for 3 years.

a) the interest if it is computed using simple interest. 12.00

= $\frac{2000(3)(12)}{100} \\=720$ dollars