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trasher [3.6K]
3 years ago
6

Solve each system of equations using substitution

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

I did the first question as reference. Pretty simple once you get it!

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how much would you need to deposit in an account now in order to have 6000 in the account in 8 years. assume the account earns 6
Katen [24]
<h3>Answer:</h3>

$3,717.14

<h3>Step-by-step explanation:</h3>

Compound interest is the interest on the principal funding as well as the interest itself.

Compound Interest Formula

Compound interest can be solved by plugging known values into a formula.

  • A = P(1 + \frac{r}{n})^{nt}

In this formula, the variables stand for different values.

  • A = total amount
  • P = principal amount
  • r = rate as a decimal
  • n = times compounded per time period
  • t = time

So, for this question, we can plug in the values we are given and solve for P.

Identifying Known Values

First, let's find the exact numbers we are going to plug in.

  • 6000 is the final amount we want, so A = 6000.
  • 6%, the rate, is 0.06 as a decimal, so r = 0.06.
  • Since interest is compounded each month per year, n = 12.
  • The total time is 8 years, so t = 8.

Solving For P

Now we can plug all of these values in.

  • 6000=P(1+\frac{0.06}{12})^{12*8}

First, simplify the values within the parentheses and in the exponent through arithmetic.

  • 6000 = P(1.005)^{96}

Next, divide both sides by 1.005^{96}

  • 3717.14 ≈ P

*Note that the answer has been rounded to the nearest hundredth.

This means that you would need to deposit $3,717.14 into the account to have $6,000 in 8 years.

6 0
2 years ago
Which of the binomials below is a factor of this trinomial?
pantera1 [17]

Answer:

C

Step-by-step explanation:

CMF is easy though.

There are no negative signs. so A and B is excluded

Divide the x+5 in the trinomial so u can get the CMF of the equation

4 0
3 years ago
Each finger width is about 10 miles how many miles will he count if he uses 7 finger widths
Sever21 [200]

Answer:

7 Miles is the answer.

Step-by-step explanation:

10*7=70.

7 0
3 years ago
Can someone please help mee i need the exact answer(30 points will give brainliest!!!)
Vitek1552 [10]

Answers:

Domain:  \boldsymbol{(-\infty, \infty)}

Range:  \boldsymbol{(-\infty, \infty)}

=======================================================

Explanation:

domain = set of all possible x inputs

range = set of all possible y outputs

--------------

In this case, the domain is the set of all real numbers because the graph stretches forever to the left and right. There aren't any gaps, holes, jumps, etc to worry about. Any real number works as an input.

We can say x is between -\infty and \infty and write -\infty < x < \infty

That turns into the interval notation (-\infty, \infty)

The curved parenthesis are <u>always</u> used with either infinity because we cannot reach them.

--------------

The range is the same story, but with the y values this time. The graph stretches forever upward and downward due to the arrow.

If it peaked at y = 4, then the range would be (-\infty, 4], but instead the graph goes beyond y = 4 because of that upward arrow.

4 0
2 years ago
Jamie who's bought $15 worth of makeup spent $6 less than Leah
Shalnov [3]
Leah spent 21 dollars on make up. All you have to do is add 15 and 6 dollars since it was 6 less than Leah then you get 21.
5 0
4 years ago
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