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aleksklad [387]
3 years ago
11

A mail order company charges 4.5% for shipping and handling. If the total order is 54.34 how much was the order total before shi

pping? Write an equation
Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer:

$52

Step-by-step explanation:

Given that :

Amount charged for shipping and handling = 4.5%

Let cost of order = x

Total amount charged = 54.34

However,

total. Amount charged = (total cost + handling and shipping)

54.34 = x + 0.045x

54.34 = 1.045x

Order total before shipping = 54.34 / 1.045

Order total before shipping = 52

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LenKa [72]

Answer alongwith Step-by-step explanation:

<u>1. Social Security</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semimonthly gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using social security rate and annual income

Social security rate is 6.2%

Social Security Liability = 6.2% x $2595.83 = $160.94 semimonthly payments

Step 3 Find the social security liability using social security rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2 =

$321.88 per month

<u>2. Medicare</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semiannual Gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using Medicare rate and annual income

Medicare rate is 1.45%

Medicare Liability = 1.45% x $2595.83 = $37.64 semimonthly payments

Step 3 Find the social security liability using Medicare rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2

= $75.28 per month

8 0
3 years ago
Write an algebraic expression for each verbal expression. 1. the sum of k and 8
Sever21 [200]

Answer:

k + 8 = y

17 < 9(x)

4(x²-8)

Step-by-step explanation:

i hope it helps

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Step-by-step explanation:

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Step-by-step explanation:

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According to a survey, 78% of residents in Summerville own a home. If 30 residents
rosijanka [135]

Answer:

0.1732 = 17.32% probability exactly 24 residents own a home.

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they own a home, or they do not. The probability of a resident owning a home is independent of any other resident. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

78% of residents in Summerville own a home.

This means that p = 0.78

30 residents are randomly selected:

This means that n = 30

Find the probability exactly 24 residents own a home.

This is P(X = 24).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 24) = C_{30,24}.(0.78)^{24}.(0.22)^{6} = 0.1732

0.1732 = 17.32% probability exactly 24 residents own a home.

3 0
3 years ago
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