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Vinil7 [7]
4 years ago
6

Money deposited $8000 into an account 6 years ago. The account earned simple interest at a yearly rate. So far the total interes

t is $1200. What is the rate for the account.
Mathematics
1 answer:
matrenka [14]4 years ago
4 0

Answer:

2.5%

Step-by-step explanation:

interest = principal * rate * time

1200 = 8000r6

1200 = 48000r

r = 0.025

Rate for account is 2.5%

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Find soluton to x^2-14x+49=25
Artyom0805 [142]

\boxed{x=12 \ and \ x=2}

<h2>Explanation:</h2>

In this exercise, we have the following equation:

x^2-14x+49=25

We can write this Quadratic Equation in Standard Form as follows:

x^2-14x+49=25 \\ \\ Subtract \ 25 \ from \ both \ sides: \\ \\ x^2-14x+49-25=25-25 \\ \\ x^2-14x+24=0 \\ \\

So this is a Non-perfect Square Trinomial. To factor out this, let's choose two numbers such that:

  • The sum is -14
  • The product is 24

Those numbers are:

  • -12 and -2
  • SUM: -12-2 = -14
  • PRODUCT: (-12)(-2)=24

So we can write this as:

x^2 + (a + b)x + ab=(x + a)(x + b) \\ \\ a=-12 \\ b=-2 \\ \\  x^2-14x+24=(x-12)(x-2)=0 \\ \\ So \ the \ solutions \ are: \\ \\ \boxed{x=12 \ and \ x=2}

<h2>Learn more:</h2>

Quadratic Ffrmua: brainly.com/question/10188317

#LearnWithBrainly

6 0
3 years ago
What is an equation of the line that passes through the points (0, -2) and<br> (0,-5)?
Nataly_w [17]

Step-by-step explanation:

The change in y-coordinate is -2 - (-5) = 3.

However, the change in x-coordinate is 0.

When the change in x-coordinate is 0, the graph is a vertical line.

Therefore the equation of the line is x = 0.

6 0
4 years ago
Faith is tracking the number of burpees she does at a constant rate. Last
bija089 [108]
This is a unit rate question. We can solve this in chronological order of steps:

Step 1: Write out the beginning for the first unit rate.

Faith completed 60 burpees in 5 minutes last week.

Step 2: Since 60 burpees were completed in 5 minutes, we can divide 60 by 5 to find how many burpees were completed in 1 minute.

60 divided by 5 equals 12.
5 divided by 5 equals 1.

Our fraction for how many burpees Faith did in a minute last week is 12/1. This reduces to 12, meaning that Faith did 12 burpees last week.

Step 3: Find the unit rate for this week.

Faith completed 78 burpees in 6 minutes this week. Because of this, we can divide 78 by 6 to find how many burpees Faith completed this week.

78 divided by 6 equals 13.
6 divided by 6 equals 1.

Our final fraction for how many completed burpees Faith did this week is 13/1, which reduces to 13. Therefore, Faith completed 13 burpees per minute this week.

Your final answer: In terms of separate values, Faith completed 12 burpees per minute last week and 13 burpees per minute this week. If you need help, let me know and I will gladly assist you.
6 0
2 years ago
POSSIBLE POINTS
-BARSIC- [3]

Answer:

17

Step-by-step explanation:

5 0
3 years ago
Consider the table representing a rational function. Which equation could represent a vertical asymptote of the graph of the fun
AleksAgata [21]

Answer:

<h2>x = -1</h2>

Step-by-step explanation:

According to the given table, we see that for <em>x = -1</em>, the function is not defined, that means that the rational function has a restriction there, and such restriction is shown as an asymptote in the graph of the function.

So, basically, we could say that the given rational function has one asymptote and it's at x = -1, which is a vertical asymptote, because all forms like x = k, are vertical lines, that is, they are parallel to the vertical axis.

Therefore, the right answer is the third choice.

7 0
4 years ago
Read 2 more answers
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