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Blababa [14]
3 years ago
15

You anticipate that a $2000 investment in a local business will pay an average of 4% interest in each of the next 5 years. Deter

mine to the nearest dollar the amount of the investment at the end of 5 years.
Mathematics
1 answer:
Dovator [93]3 years ago
7 0
Since this is a problem in exponential growth/decay, y = ab^x is the formula that will be used to solve this problem.

The initial value, "a", is the value you start out with and in this case, it is $2000. 

The growth/decay factor is what "b" represents, and it is 4%. We need to change the percentage into a decimal, so we will take the percent symbol, change it into a decimal, and move it two places to the left. This is make it 0.04. The problem also mentions interest, implying an exponential growth. Therefore, you will add 0.04 by 1: 1+0.04 = 1.04. 

The "x" represents an amount of time. It is 5 years. The equation should be written like this: 

y = 2000(1.04)^5
y = 2433.30. When rounded to the nearest dollar, it is $2433. 

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7) David bought a computer that was 20% off the regular price of $1080. If an 8% sales tax was added to the cost of the computer
Aneli [31]
Hello there! I can help you!

7. Okay. So the computer was originally $1,080, and the discount is 20%, but David would still have to pay 80% of the original price. To find the sale price, let's multiply. 1,080 * 80% (0.8) is 864. The sale price of the compuet is $864, but now we must add the sales tax to find the total price. We will multiply by 108%, because 100% (representing the price + 8% is 108%, and doing this will get us stright to the total price. 864 * 108% (1.08) is 933.12. There. David paid a total price of $933.12 for the computer.

8. Okay. So we are looking for the amount of discount for the sweater Suzanne bought. First off, let's subtract the prices to find the difference. 40 - 25 is 15. Now, let's divide that by 40 (the original price) to find the discount. 15/40 is 0.375. Or 37.5% when converted into a percentage. There. Suzanne received a 37.5% discount on the sweater when she bought it.

9. So the car was bought for x dollars. 0.88 represents 88%, so the value of the car is 88% of the previous year. An expression that is a way to describe the change in car value is x * (100 - 0.12)^t, because you car loses 12% of the remaining value each year, which leaves 88% of it remaining, and having the t as the exponent represents the number of years. That expression helps find the value of the car currently and can help you compare the values.
6 0
3 years ago
State the domain and range of the relation. Determine whether the relation represents a function.
dangina [55]

Answer:

Domain {-2,0,2}

Range {-2,0,2}

Relation is a Function

Step-by-step explanation:

We are given a relation:

{ (-2,-2) , (0,0) , (2,2) }

Domain can be defined as the all possible values of x for a relation. It is considered as a set of all first values of the ordered pairs of a given relation.

Domain of the given relation is {-2,0,2}

Range can be defined as all possible value of y which corresponds to the values of x in the domain. It is considered as a set of all second values of the ordered pairs of a given relation.

Range of the given relation is {-2,0,2}

A relation is a function if only there is one value of y for each value of x. If in the set of ordered pair of the relation, the value of x gets repeated, then the relation is not a function.

As no values of x are getting repeated, the relation is a function.

4 0
3 years ago
A) The lowest score was in third period. B) The highest score was in first period. Eliminate C) On average, first period did bet
Reptile [31]
Whats the question tho....
5 0
3 years ago
What is the difference of the fractions? Use the number line to help find the answer.
vova2212 [387]
<h2>Explanation:</h2>

Hello, remember you need to write complete questions in order to get good and exact answers. Here you haven't provided any fractions, so I'll give you my own fractions.

The first fraction is:

\frac{1}{2}

The second fraction is:

\frac{1}{4}

So let's say that difference is:

\frac{1}{2}-\frac{1}{4}

Therefore, the result is:

\frac{1}{2}-\frac{1}{4}=\frac{1}{4}

The representation of this problem is shown using the number line below. As you can see, we have written both 1/2 and 1/4 and the difference is also indicated giving the result 1/4. That is, if we walk from 1/4 to 1/2 we'll walk 1/4 units.

6 0
3 years ago
Read 2 more answers
Given limit of f (x) = 4 as x approaches 0. what is limit of one-fourth left-bracket f (x) right-bracket superscript 4 baseline
Otrada [13]

The limit of the given function if \lim_{x \to 0} f(x)=4 is 64

<h3>Limit of a function</h3>

Given the following limit of a function expressed as;

\lim_{x \to 0} f(x)=4

We are to determine the value of the function

\frac{1}{4}  \lim_{x \to 0} [f(x)]^4


This can also be expressed as

\frac{1}{4}  \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64

Hence the limit of the given function if \lim_{x \to 0} f(x)=4 is 64

Learn more on limit of a function here: brainly.com/question/23935467

#SPJ1

4 0
2 years ago
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