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leonid [27]
3 years ago
13

Joanna joins a CD club. She pays $7 per month plus $10 for each CD that she orders. Write an inequality to find how many CDs she

can purchase in a month if she spends no more than $100. Identify what your variable represents.
Mathematics
1 answer:
Effectus [21]3 years ago
6 0
Lets use x as the number of CD's that she will buy in a month. So knowing that, our inequality can look like this. 7 + 10x < or = 100. Why? because we will have to multiply 10 with the number of CDs she will purchase in a month to get the total she spends. Hence 10 times x. She also has to add a 7 membership fee per month to this. Also, she has to remember that what she paid has to be less or equal to 100 because the problem states that she spends no more than 100 a month. 
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A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. A
hjlf

Answer: There were 1,250 bacteria present initially.

Step-by-step explanation:

To find the exponential growth to this, lets create an exponential model shown as below:

f(x) = a(b^{y})

 Let y represent the amount of hours have passed after the third-hour recording. With the information given, we can create a set of input-output pairs: (0 , 10000) and (2 , 40000). Now that we have this set of pairs, we have given ourselves the initial value of the function, a = 10,000. We can now substitute the second point into the equation using N = 40,000.

N(y) = 10000b^y

40000 = 10000b^2    Divide and write in lowest terms.

÷10000   ÷10000

4 = b^2

b = (4)^{\frac{1}{2} } Isolate b using properties of exponents.

b = 2

Now that we have the exponential growth, we can use b = 2 to work backwards and find the initial amount of bacteria.

10,000 ÷ 2 = 5,000 <-- Amount of bacteria 2nd hour

5,000 ÷ 2 = 2,500 <-- Amount of bacteria 1st hour

2,500 ÷ 2 = 1,250 <-- Initial amount of bacteria.

The initial amount of bacteria is 1,250

7 0
4 years ago
Natalie needs to save $479.58 for a vacation. She saved $149.88, and earns $7.85 an hour working at the grocery store. How many
SashulF [63]

Answer:

42 hours

Step-by-step explanation:

Natalie needs to save a total of $479.58

She already saved $149.98

The amount left to save is

= 479.58-149.98

= 329.7

If she earns 7.85 dollars working per hour then the number of hours she can work to get $329.7 can be calculated as follows

= 329.7 / 7.85

= 42

Hence Natalie will work for 42 hours to meet her goals

6 0
3 years ago
A University of Florida student earns $15 per day delivering advertising brochures door-to-door, plus 75¢ for each person he int
aleksley [76]
$15 * 3 days = $45

$57 - $45 = $12

$12 / $0.75 = 16

He interviews 16 people to earn a total of $57.
6 0
3 years ago
Round off to the underlined place values. 1 0.5242 2. 2.1616 3. 5.4852 4. 0.5862 5. 5.9658 6. 2.8959 7. 8.2584 8. 8.8956 9. 4.14
sladkih [1.3K]

Answer:

wheres the underline pls let me know what is underlined ill answer it on comment

6 0
3 years ago
what is the slope of a line parallel to the line whose equation is y= -5/2x+7. fully simplify your answer
Feliz [49]

Answer:

-5/2

Step-by-step explanation:

7=intersect of y

-5/2=Slope

7 0
3 years ago
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