Web Analytics
Answered

PLEASE HELP 99 POINTS PLUS BRAINIEST ANSWER.

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

To the nearest tenth of a percent, what is the percent error in Mark's estimate?


Enter your answer in the box.

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

What is the total cost of the wallet?


Enter your answer in the box.

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

What is the salesman's commission as a percent of his total monthly sales?


Enter your answer in the box.

  1. The Picture Below.

PLEASE HELP 99 POINTS PLUS BRAINIEST ANSWER. 1. Mark estimates that the distance from his house to his school is 15.5 mi. The actual distance is 14.5 mi. To the class=

Verified Answer :

nobrains
  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

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

@@MATH_TOKEN_3@@

= 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

@@MATH_TOKEN_4@@

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

@@MATH_TOKEN_5@@

@@MATH_TOKEN_6@@

Percentage = 4%

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

Fourth part

Formula

@@MATH_TOKEN_7@@

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 .

Related Questions