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dexar [7]
3 years ago
5

Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p

olicy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.
Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0

Answer:

Required inequality is 4800+183x>8000.

Step-by-step explanation:

Given that Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.

Calculation is given by:

Salary per year = $4,800

Average price of a policy = $6,100.

commission on her sales = 3%

Then commission on $6,100 = 3% of $6,100 = 0.03 ($6,100) = $183

Let number of policies Mrs. Robinson must sell to make an annual income of at least $8,000 = x

then total commission on x policies = 183x

Total income using x policies = 4800+183x

Since she wants to make an annual income of at least $8,000. so we can write inequality as:

4800+183x>8000

Hence required inequality is 4800+183x>8000.

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Alright, lets say the measure of the 3rd angle (the smallest one) is  x degree, then measure of the 1st angle will be (x + 25) degree, and 2nd one: 3x degree. The sum of all the angles in any triangles is 180 degrees.

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5x + 25 = 180 ---> 5x = 180 - 25 ---> 5x = 155 ---> x = 155/5 ---> x = 31o (third angle)

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2 years ago
A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredien
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Answer:

a. 5 represents the number of calories that come from other ingredients.

b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.

c. <em>c = 5.5</em>

Step-by-step explanation:

We are given the equation:

4c + 5 = 27

Where c represents the grams of carbohydrates

27 is the total number of calories that are received by the granola bite.

4 is the number of calories from 1 gram of carbohydrates and

5 is the number of calories that are received from other ingredients.

Answer of Part a:

5 is the number of calories that are received from other ingredients.

Part b:

Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.

So, LHS becomes:

4 \times 8 + 5 = 37 \neq RHS\ i.e.\ 27

4 \times 3 + 5 = 17 \neq RHS\ i.e.\ 27

So, Priya is correct that neither 8 or 3 could be solution.

Part c:

4c + 5 = 27\\\Rightarrow 4c = 22\\\Rightarrow \bold{c = 5.5}

So, solution to the equation is: <em>c = 5.5</em>

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Answer:

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