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Scorpion4ik [409]
2 years ago
7

Write an inequality to represent the real-world problem. Then complete the statements. Bradley makes less than $8 per hour. The

variable in the inequality represents The inequality symbol needed is The constant is The inequality that correctly represents the problem is
Mathematics
1 answer:
Zina [86]2 years ago
7 0

Answer:

h

Step-by-step explanation:

If Bradley makes less than $8 per hour.

Let Bradley's hourly rate = h

Therefore, an inequality to represent the real-world problem is:

h

  • The variable in the inequality represents <u>Bradley's hourly rate</u>
  • The inequality symbol needed is <u>Less Than</u>
  • The constant is <u>8</u>
  • The inequality that correctly represents the problem is: h
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At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
NeTakaya

Answer:

Part A

The most correct option is;

b. y = 128(0.989)x + 72

Part B

Ella can drink the tea after 7:22

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, the most correct option is b. y = 128(0.989)x + 72

Part B

When the temperature is 172°F we have;

172 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (172 - 72)/128 = 100/128 = 25/32

log(0.989)ˣ = log(25/32)

x·log(0.989) = log(25/32)

x = log(25/32)/log(0.989) = 22.32 minutes

Hence Ella can drink the tea after 7:22.

6 0
2 years ago
Your parents have $2745.69 on credit card with a 12.75% apr. They miss their minimum payment and there is a late fee of $29.00.
svetoff [14.1K]

Answer: Their balance at the beginning of their second month is $2803.86.

Step-by-step explanation:

Since we have given that

Amount on credit card = $2745.69

APR on credit card = 12.75%

Late fee = $29

According to question, they miss their minimum payment .

So, their balance at the beginning of their second month is given by

2745.69\times \frac{12.75}{12\times 100}\\\\=29.17\\\\\text{After late fees }=29.17+29\\\\=58.17\\\\\text{ Amount in the beginning of their second month }\\\\=\$2745.69+58.17\\\\=2803.86

Hence, their balance at the beginning of their second month is $2803.86

7 0
2 years ago
Consider the following sets of sample data: A: $29,400, $30,900, $21,000, $33,200, $21,300, $24,600, $29,500, $22,500, $35,200,
Lana71 [14]

Answer:

CV for A = 21.8%

CV for B = 15.5%

Step-by-step explanation:

The formula for coefficient of variation is:

CV = Standard Deviation / Mean

So,

For A:

Mean = Sum/No. of items

= 391300/14

=$27950

and

SD = $6085.31

CV for A = 6085.31/27950 * 100

=21.77%

Rounding off to one decimal

CV for A = 21.8%

For B:

Mean = Sum/No. of items

= 43.58/11

=3.96

and

SD = 0.615

CV for B = 0.615/3.96 * 100

=15.53%

=15.5% ..

6 0
2 years ago
Four siblings have a dog walking business. The table shows the hours worked by sibling. sibling earns $25.50 per hour and the to
alex41 [277]

Answer:

I couldn't find out how many hours Michael worked but the total amount is $1504.50

Step-by-step explanation:

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2 years ago
Translate "The sum of nine and a number is four" into an equation and solve.
Lelu [443]

Answer:9+x=4

Step-by-step explanation:idk how to explain just trust me

7 0
2 years ago
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