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Paha777 [63]
3 years ago
13

John placed $2,000 in a savings account which compounds interest annually at a rate of 4.3%. How much will he have in the accoun

t after 3 years?
Mathematics
1 answer:
Westkost [7]3 years ago
7 0
Pf=Pi(1+r)^t
Pf=2000(1.043)^3
Pf=2269.25
$2269.25
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HOW DO YOU CONVERT SURFACE AREA TO VOLUME! <br> HELP!!!!<br> WILL MARK BRAINLIST!!
slamgirl [31]

Answer:

Formulas for a rectangular prism:

Volume of Rectangular Prism: V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)

Step-by-step explanation:

Hope it helps :))))

3 0
2 years ago
Help me out please, im only typing this much because its making me...
Genrish500 [490]

Answer:

B.x^{2} +2x-8

Step-by-step explanation:

Here the best method to solve is by substituting the end values of the set in each option , otherwise it will a time consuming problem.

Now substitute x=-4 in all the options

A.x^{2} -2x-8

16+8-8=16>0

so out of option A and C option C is correct.

B.x^{2} +2x-8

16-8-8=0 which means for the values of x>-4 x^{2} +2x-8is less than 0

Now substitute x=2 in all the options

A.x^{2} -2x-8

4-4-8=-8<0 . so option A and C both are incorrect.

B.x^{2} +2x-8

4+4-8=0 which means for the values of x<2 x^{2} +2x-8 is less than 0

Therefore the correct option is B

6 0
3 years ago
I need help doing everything.
ohaa [14]

Using set notations, we have that:

1. The range of the function is:

  • Inequality: x ≥ -15.
  • Set-builder: {x | x ≥ -15}
  • Interval: [-15, ∞).

2. The function is increasing on:

  • Inequality: x > 3.
  • Set-builder: {x | x > 3}
  • Interval: (3, ∞).

3. The function is decreasing on:

  • Inequality: x < 3
  • Set-builder: {x | x < 3}
  • Interval: (-∞, 3).

4. The function is negative on:

  • Inequality: 0.918 < x < 5.082.
  • Set-builder: {x | 0.918 < x < 5.082}.
  • Interval: (0.918, 5.082).

<h3>What is the standard interval notation?</h3>

The standard interval notation of an interval of lower bound a and upper bound b is given by:

[a,b].

The inequality notation is:

a ≤ x ≤ b

The set builder notation is:

{x | a ≤ x ≤ b}.

<h3>What is the range of the function?</h3>

The range of a function is the set that contains all possible output values for the function. In a graph, it is given by the values of y of the function.

Hence, for this problem, the range is given by these following notations:

  • Inequality: x ≥ -15.
  • Set-builder: {x | x ≥ -15}
  • Interval: [-15, ∞).

<h3>When is a quadratic function increasing and when it is decreasing?</h3>

Considering a concave up quadratic function, as given in this problem, we have that:

  • It decays for the values of x before the vertex.
  • It increases for the values of x after the vertex.

In this problem, the vertex is at x = 3, hence the intervals are given as follows:

2. The function is increasing on:

  • Inequality: x > 3.
  • Set-builder: {x | x > 3}
  • Interval: (3, ∞).

3. The function is decreasing on:

  • Inequality: x < 3
  • Set-builder: {x | x < 3}
  • Interval: (-∞, 3).

<h3>When a function is negative?</h3>

A function is negative when it's graph is below the x-axis. Hence, for this problem, we have that:

4. The function is negative on:

  • Inequality: 0.918 < x < 5.082.
  • Set-builder: {x | 0.918 < x < 5.082}.
  • Interval: (0.918, 5.082).

More can be learned about set notations at brainly.com/question/24462379

#SPJ1

6 0
1 year ago
Please help! I've been stuck on this for awhile.
puteri [66]
5712 / 8 = 714

answer
unit rate = 714 km per hour
8 0
3 years ago
Read 2 more answers
Find the median: <br>17, 11, 5, 8, 18, 22, 1, 6​
nalin [4]

Answer:

9.5

Step-by-step explanation:

To find the median, you have to sort the numbers in order by value:

1, 5, 6, 8, 11, 17, 18, 22

Next, you have to find the middle number:

Since there is an even amount of numbers, there are TWO middle numbers. In this case, the middle numbers are 8 and 11.

Now you have the find the value BETWEEN 8 and 11:

11-8 = 3.

3/2 = 1.5

So, the median is 9.5

8 0
2 years ago
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