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3 years ago

Please help! With explanation, thanks!

Mathematics

1 answer:

Ber [7]3 years ago

4 0

45.6%, I think

If the angle was 45 degrees, then 50% of the circumference of the ice cream would be inside the cone.
But the real angle is 41. 41 = (41/45) * 45

So if we multiply 45 by 41/45, we get 41. In the same way, if multiply the "50%" by 41/45, we get the percentage of ice cream circumference that is in the cone.

50% * 41/45 = 45.6%

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Part B A sales person earned 1375

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Question:

A salesperson earns commission on the sales that she makes each month.

The salesperson earns a 5% commission on the first $5,000 she has in sales.

The salesperson earns a 7.5% commission on the amount on her sales that are greater than $5,000.

Part A:

This month the salesperson had $8,000 in sales. What amount of commission, in dollars, did she earn?

Part B:

The salesperson earned $1,375 in commission, last month. How much money, in dollars, did she have in sales last month?

Answer:

A) The amount of commission = $575

B) The total sales amount = $20000

Step-by-step explanation:

Given:

Total amount earned = $8,000 in sales

To Find :

The amount of commission, in dollars

Solution:

The commission she earns = Commission 1+ Commission 2----------(1)

Commission 1 = 5% of 5000

Commission 2 = 7.5 % of (8000- 5000}

Finding commission 1:

= 5% of 5000

= $\frac{5}{100} \times 5000$

= $0.05 \times 5000$

= $250 ------------------------------(2)

Finding commission 2:

= 7.5 % of (3000)

= $\frac{7.5}{100}\times 3000$

= $0.075 \times 3000$

= $225----------------------------------(3)

Substituting (2) and (3) in (1)

The commission she earns = $250 + $225 = $575

Given:

Total commission earned = $1375

To Find :

The total sales amount = ?

Solution ;

Let the sales amount be x

Then

1375 = 5% of 5000 + 7.5 % of (x -5000)

$1375 = 0.05 \times 5000 + 0.075 \times (x -5000)$

1375 = 250 + 0.075x - 375

1375 = -125 + 0.075 x

1375 +125 = 0.075 x

1500 = 0.075x

$x = \frac{1500}{0.075}$

x = 20000

The total sales amount is $20000

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