Question

PLEASE HELP 99 POINTS PLUS BRAINIEST ANSWER.

Answer 1

Answer:

(1)The percentage error is 6.897 % .

(2)The total cost of the wallet is $34.35 .

(3)The salesman's commission as a percent of his total monthly sales is 4% .

(4)The interest is $5400 .

Step-by-step explanation:

First part

Formula

$Percentage = \frac{Change\ in\ value\times 100}{Exact\ value}$

Change in value = |Approx value - Exact value|

As given

Mark estimates that the distance from his house to his school is 15.5 mi. The actual distance is 14.5 mi.

Approx value =  15.5 mi

Exact value = 14.5 mi

Change in value = |15.5 - 14.5|

                           = 1

Put all the values in the formula

$Percentage\ error = \frac{1\times 100}{14.5}$

$Percentage\ error = \frac{100}{14.5}$

Percentage error = 6.897 % (Approx)

Thus the percentage error is 6.897 % .

Second part

The price of a wallet is $31.95 and the sales tax is 7.5%.

7.5% is written in the decimal form

$= \frac{7.5}{100}$

= 0.075

Sales tax price = 0.075 × Price of the wallet

                         = 0.075 × $31.95

                          = $2.4 (Approx)

Total cost of the wallets = Cost of the wallet + Sales tax price

                                        = $31.95 + $2.4

                                        = $34.35

Therefore the total cost of the wallet is $34.35.

Third part

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales.

Part value = $165

Total value = $4125

Put all the values in the formula

$Percentage = \frac{165\times 100}{4125}$

$Percentage = \frac{16500}{4125}$

Percentage = 4%

Therefore the salesman's commission as a percent of his total monthly sales is 4% .

Fourth part

Formula

$Simple\ interest = \frac{Principle\times Rate\times Time}{100}$

Principle = $12000

Rate = 15%

Time = 3 years

Put all the values in the formula

$Simple\ interest = \frac{12000\times 15\times 3}{100}$

$Simple\ interest = \frac{540000}{100}$

Simple interest = $5400

Therefore the interest is $5400 .

Answer 2

1. Percent error is $| \frac{guess-actual}{actual}|$
The guess is 15.5mi, and the actual distance is 14.5 mi.
Percent error is $| \frac{15.5-14.5}{14.5}|=0.69=6.9%$

2. The cost will be $31.95*(1+0.075) = $34.35
The 1 represents 100% of the original amount of $31.95, and now we add 7.5% (0.075) to the 100%. In other words we multiply $31.95 by 107.5%.

3. His commission will be $165 out of $4125, or $165/$4215 = 0.039 = 3.9%

4. The principal (amount of money you start with) is $12000, and the interest rate is 15% of that.
15% of $1800 = 0.15*$12000 = $1800