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3 years ago

6

Can someone tell me the answer for this question? Francois earns a weekly salary of $475 plus a 5.5% commission on sales at a gi

ft shop. How much would he earn in a week if he sold $700 in goods? Round to the nearest cent.

1 answer:

Westkost [7]3 years ago

3 0

700 * .055 + 475 = 513.5

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Juan compró un terreno rectangular cuyo perímetro es de 88 m. Se sabe que la medida de lo largo del terreno es 2veces la medida

Nuetrik [128]

Answer:

420 m^2

Step-by-step explanation:

Ancho: x

Largo: 2x + 2

2x + 2(2x+2) = 88

2x + 4x + 4 = 88

6x = 88 - 4

x = 84/6

x = 14

Ancho: 14

Largo : 30

Area: 14 * 30 = 420 metros cuadrados

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3 years ago

Does anyone have a paid subscription to explore Learning/gizmos?

leonid [27]

Answer:

Yes its not free I wanted to be in learning gizmos but my parents couldn't afford it.

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3 years ago

Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common differen

timurjin [86]

Answer:

Step-by-step explanation:

The sequence is nor properly written. This is correct sequence

49, 36, 25, 16, 9, 4, 1...

Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.

The values of the sequence are all perfect squares.

Rewriting the sequence;

7², 6², 5², 4², 3², 2², 1²...

Now we can see that the base values for an arithmetic sequence as shown:

7, 6, 5, 4, 3, 2, 1...

We find the common difference of this sequence as shown

d = T2-T1 = T3-T2 = T4-T3

Given T1 = 7, T2 = 6, T3 = 5, T4 = 4

Substitute

d = 6-7 = 5-6 = 4-5 = -1

d = -1

Get the nth term using the sequence

Tn = a+(n-1)d

a is the first term

d is the common difference

n is number of terms

Tn = 7+(n-1)(-1)

Tn = 7+(-n+1)

Tn = 7+1-n

Tn = 8-n

Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;

Tn = (8-n)²

To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.

3 0

3 years ago

What is the value of the sum of all the terms of the geometric series 300, 60, 12, …?

ruslelena [56]

<h3>Answer: 375</h3>

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

Work Shown:

a = 300 = first term

r = 60/300 = 0.2 = common ratio

We multiply each term by 0.2, aka 1/5, to get the next term.

Since -1 < r < 1 is true, we can use the infinite geometric sum formula below

S = a/(1-r)

S = 300/(1-0.2)

S = 300/0.8

S = 375

----------

As a sort of "check", we can add up partial sums like so

300+60 = 360
300+60+12 = 360+12 = 372
300+60+12+2.4 = 372+2.4 = 374.4
300+60+12+2.4+0.48 = 374.4+0.48 = 374.88

and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.

----------

Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.

3 0

3 years ago

Which of the following sets represent A ∪ B? {6, 12} {2, 3, 4, 6, 8, 9, 10, 12} {1, 5, 7, 11} {2, 3, 4, 8, 9, 10}

ivanzaharov [21]

<h3>AUB = { 2, 3, 4, 6, 8, 9, 10, 12}</h3>

<em><u>Solution:</u></em>

The complete figure of question is attached below

From figure,

Write all elements from set A

A = {3, 6, 9, 12}

Write all elements from set B

B = {2, 4, 6, 8, 10, 12}

AUB means A union B

AUB means set of all the numbers combined with set A and set B

Combine set A and B

AUB = { 2, 3, 4, 6, 8, 9, 10, 12}

Thus AUB is found

3 0

4 years ago