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olya-2409 [2.1K]
2 years ago
11

An air freshener starts with 33 grams and evaporates. In each of the following situations define a function that gives the remai

ning mass of the air freshener (in grams) in terms of the number of days, t t, since the air freshener was first used.
Mathematics
1 answer:
grin007 [14]2 years ago
5 0
Hello!

A) 
<span>The mass of the air freshener A decreases by 3.2 grams each day. Define a function, f, to represent this situation.

In this function, the mass of the air freshener A (m) is the dependent variable and the days (t) and the initial amount of the air freshener A (mi) are the independent variables. If the mass decreases by a fixed amount each day, you only have to multiply this amount by the number of days:

</span>m=mi-(3,2*t)

<span>B) The mass of the air freshener B decreases by 3.2% each day. Define a function, g, to represent this situation.
</span>
This function is trickier since there isn't a fixed amount of decreasing. Instead, the rate of decreasing depends on the initial amount of the freshener (mi). You have to include this initial amount in the equation to correctly model it. This is how you do it:

m=mi-(mi* \frac{3,2}{100}*t)

Have a nice day!
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You deposit $2,900 into a bank account with a simple interest rate of 10% how do you find your account balance after 5 years
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Formula: A = P(1 + rt)<span>
P= 2,900
R= 10%
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Answer: $4,350.00</span>
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2 years ago
A company produces canned tomatoes. They want the height h of each can to be twice the diameter d. Enter an equation for the sur
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Answer:

The equation is:

(2×π×r×4r)+(2×π×r^2)= A

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Step-by-step explanation:

Please see the attached files for explanation

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2 years ago
James multiplies 38 by 55. He finds three of the four partial products: 40, 150, and
jeka94

Answer:

He is missing 1500, the final solution would be 2090

Step-by-step explanation:

5 times 8 equals 40

5 times 30 equals 150

50 times 8 equals 400

50 times 30 equals 1500

40+150+400+1500= 2090

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2 years ago
A paint shop stocks 1800 liters of paint 24% of the paint is white. The shops sells 18% of the white paint and 7% of the rest of
Anuta_ua [19.1K]

Answer:The amount of paint that was sold altogether is 173.36 litres

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The total amount of paint that the paint shop stocks is 1800 litres.

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24/100 × 1800 = 0.24 × 1800 = 432 litres.

The amount of the remaining paint other than white would be

1800 - 432 = 1368 litres

The shops sells 18% of the white paint. This means that the amount of white paint sold by the shop will be

18/100 × 432 = 0.18 × 432 = 77.6 litres.

The shops sells 7% of the rest of the paint.

This means that the amount of the rest paint sold by the shop will be

7/100 × 1368 = 0.07 × 1368 = 95.76 litres.

The amount of paint that was sold altogether would be

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5 0
2 years ago
Rewrite each statement using the appropriate mathematical language 1. There exists a number b belonging to the set B 2. Even num
Shtirlitz [24]

Answer:

1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻

Step-by-step explanation:

1. Let b be the number and B be the set, so mathematically, it is written as

b ∈ B.

2. Let  a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write

∀ a ∈ N; 2a ∈ Z

3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.

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N ⊂ Z ⊂ Q ⊂ R .

4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write

J ≤ J⁻¹ : J ∈ Z⁻

4 0
2 years ago
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