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gregori [183]
3 years ago
14

50 POINTS ILL GIVE BRAINLIEST ! random answers will be reported!

Mathematics
2 answers:
nlexa [21]3 years ago
5 0

Answer:

4)P = $615.38.   5)P = $1,482.35

Step-by-step explanation:

<em><u>4)P = $615.38</u></em>

Equation:

P = A / (1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

Solving our equation:

P = 640 / ( 1 + (0.04 × 1)) = 615.38461538462

P = $615.38

The principal investment required to get a total amount, principal plus interest, of $640.00 from simple interest at a rate of 4% per year for 1 years is $615.38.

<em><u>2)P = $1,482.35</u></em>

Equation:

P = A / (1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 12%/100 = 0.12 per year.

Solving our equation:

P = 2016 / ( 1 + (0.12 × 3)) = 1482.3529411765

P = $1,482.35

The principal investment required to get a total amount, principal plus interest, of $2,016.00 from simple interest at a rate of 12% per year for 3 years is $1,482.35.

Akimi4 [234]3 years ago
5 0
Отзовись ярму рыцарь бы б
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Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
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Answer:

(a)

r\geq  5

r+y\leq 15

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(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours

(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

r\geq  5

Since she does yard work, y\geq 0

Lia’s parents allow her to work a maximum of 15 hours per week overall.

r+y\leq 15

Lia’s goal is to earn at least $120 per week.

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Therefore:

8r+12y\geq 120

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r\geq  5

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(b)The graph of the inequality is attached below

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Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

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  • At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4
  • At (15,0) Earning=(15X8)+(0X12)=$120

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

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Step-by-step explanation:

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