A café's annual income depends on x, the number of customers. The function /(x) = 4x2

How would you compare 15 counters with 8 counters in a sentence? With how many will each child have?

Phantasy [73]

since division is separating into equal parts but since there are 15 counters and 8 counters there the same so you can compare them and the final equation would be 15+8/x. let x= the number of kids

8 0

3 years ago

NEED HELP FOR THIS QUESTION

const2013 [10]

Answer:

(a) A = 0.00278787878787878x

(b) B = 0.00235294117647058x + 3

(c) The answers are as follows:

For buying by credit card

For 700 BWP: Cost = A = £1.95

For 800 BWP: Cost = A = £2.23

For 800 BWP: Cost = A = £2.79

For buying from a Bureau de Change

The equation (4) is used as follows:

For 700 BWP: Cost = B = £4.65

For 800 BWP: Cost = B = $4.88

For 1000 BWP: Cost = B = £5.35

(d) You would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.

Step-by-step explanation:

(a) by credit card

For the exchange rate, we have:

8.25 BWP = £1 ⇒ 8.25 / 8.25 BWP = £1 / 8.25 = 1.00 BWP = £0.121212121212121

The expression can therefore be written as follows:

A = £0.121212121212121 * r * x ................. (1)

Where;

A = cost (including commission) of buying a particular number of Botswana pulas by credit card

r = commission on a credit card transaction = 2.3%, or 0.023

x = the number of pulas bought

Substituting for r into equation (1), we have:

A = £0.121212121212121 * 0.023 * x

A = 0.00278787878787878x ................. (2)

Equation (2) is the expression.

(b) from a Bureau de Change

For the exchange rate, we have

8.5 BWP = £1 ⇒ 8.5 / 8.5 BWP = £1 / 8.5 = 1.00 BWP = 0.117647058823529

B = (£0.117647058823529 * r * x) + F ................. (3)

Where;

B = cost (including commission) of buying a particular number of Botswana pulas by from a Bureau de Change.

r = commission charged by Bureau de Change. = 2%, or 0.02

x = the number of pulas bought

F = fee = £3

Substituting for r and F into equation (3), we have:

B = (£0.117647058823529 * 0.02 * x) + £3

B = 0.00235294117647058x + 3 ................. (4)

Equation (4) is the expression.

c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.

For buying by credit card

The equation (2) is used as follows:

For 700 BWP: A = £0.00278787878787878 * 700 = £1.95

For 800 BWP: A = £0.00278787878787878 * 800 = £2.23

For 800 BWP: A = £0.00278787878787878 * 1000 = £2.79

For buying from a Bureau de Change

The equation (4) is used as follows:

For 700 BWP: B = (£0.00235294117647058 * 700) + £3 = £1.65 + £3 = £4.65

For 800 BWP: B = (£0.00235294117647058 * 800) + £3 = £1.88 + £3 = $4.88

For 1000 BWP: B = (£0.00235294117647058 * 1000) + £3 = £2.35 + £3 = £5.35

d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.

This can be calculated by equating equations (2) and (4) and then solve for x as follows:

0.00278787878787878x = 0.00235294117647058x + 3

0.00278787878787878x - 0.00235294117647058x = 3

x(0.00278787878787878 - 0.00235294117647058) = 3

x0.0004349376114082 = 3

x = 3 / 0.0004349376114082

x = 6,897.54 pulas

Therefore, you would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.

5 0

3 years ago

Lian invested an amount of money at an interest rate of 5.2% per year.

Zigmanuir [339]

Answer:

$6500

Step-by-step explanation:

Let the amount of money invested by Lian be $x

Interest rate = 5.2% per year

interest earned in first year will be 5.2% of amount of money invested by Lian .

(note: since in first year there will be no interest accrued on interest so interest for first year is simple interest )

interest earned in one year if money invested by Lian is $x

= 5.2% of $x (1)

But , it is given in one year she received interest of 338 dollars

so, 338 dollars must be equal to 5.2% of $x

equating $338 with 5.2% of $x , we have

5.2% of x = 338

=> (5.2/100) * x = 338

=>5.2 x = 338*100

=> x = 33800/5.2 = 6500.

Thus, amount of money Lian invested is $6500.

7 0

2 years ago

Maria scored 72, 97, and 82 on her first three math tests. She wants to have a mean score of 82 for the quarter. How many points

Rom4ik [11]

Answer:

She needs 77 on her last test to earn an 82 for the quarter.

Step-by-step explanation:

Maria scored 72, 97, and 82 on her first three math tests.

She wants to have a mean score of 82 for the quarter.

Let us assume that she must score x on her last test to earn an 82 for the quarter.

So the average score will be,

$=\dfrac{72+97+82+x}{4}$

But the average score is given as 82, so

$\Rightarrow \dfrac{72+97+82+x}{4}=82$

$\Rightarrow 72+97+82+x=82\times 4$

$\Rightarrow 72+97+82+x=328$

$\Rightarrow x=328-72-97-82$

$\Rightarrow x=77$

3 0

2 years ago

Read 2 more answers

What is the answer here?

Angelina_Jolie [31]

Step-by-step explanation:

(4,-30) i am not 100% sure about it.

3 0

2 years ago

A café's annual income depends on x, the number of customers. The function /(x) = 4x2 – 20x