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3 years ago

5

A savings account earns 4.62% annual interest, compounded continuously. After approximately how many years will a principal of $

500 double? 2 years 15 years D 44 years B 10 years

1 answer:

ch4aika [34]3 years ago

7 0

Step-by-step explanation:

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The total number of students enrolled in MATH 123 this semester is 5,780. If it increases by 0.22% for the next semester, what w

Vsevolod [243]

Given:

Total number of students enrolled in MATH 123 this semester is = 5,780

It increases by 0.22% for the next semester.

To find:

The enrollment next semester.

Solution:

Let x be the number of enrollments for next semester.

According to the question, total number of students enrolled in MATH 123 this semester is increases by 0.22% for the next semester. So,

$x=5780+0.22\%\text{ of }5780$

$x=5780+\dfrac{0.22}{100}\times 5780$

$x=5780+0.0022\times 5780$

$x=5780+12.716$

$x=5792.716$

$x\approx 5793$

Therefore, total number of students enrolled in MATH 123 next semester is 5,793.

7 0

3 years ago

PLEASE HELP!!!!

Mazyrski [523]

<h3>Answer: A. 18</h3>

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

Explanation:

The set A U B represents the list of items that are either in set A, set B or both sets at the same time. The "U" is the union symbol.

Set A U B looks like this

A U B = {-10, 8, 12, 26, 29, -8, - 1,5, 26, 36}

I basically started with set A, then tacked on the stuff in set B shown in bold.

From here, we toss out the duplicate item 26 and we can optionally sort the set

A U B = {-10, -8, -1, 5, 8, 12, 26, 29, 36}

We see that the number 18 is not in this final set, which is why choice A is the answer.

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

Put another way: the number 18 is neither in set A nor set B, so it cannot be in set A U B.

Something like -10 is in set A, so it's going to be in set A U B as well. We can rule out choice B for this reason. Choices C and D follow a similar idea as choice B.

4 0

3 years ago

Find the area of the polygon

larisa [96]

Answer:

$687.5 \: {ft}^{2}$

Step-by-step explanation:

Area of polygon = Area of square + Area of triangle

$= {25}^{2} + \frac{1}{2} \times 25 \times (30 - 25) \\ \\ = 625 +\frac{1}{2} \times 25 \times5 \\ \\ = 625 + \frac{1}{2} \times 125 \\ \\ = 625 + 62.5 \\ \\ = 687.5 \: {ft}^{2}$

3 0

3 years ago

Solve for x.<br><br> A.<br> 6<br> B.<br> 8<br> C.<br> 12<br> D.<br> 18

RUDIKE [14]

Since the horizontal lines are parallel, we know from similar figures that the ratios are proportional.
when
24/x=36/12, or

24 36
-- = ---
x 12

We divide the product of diagonals with numbers (24*12) by the number across from x (36) to get the value of x, i.e.
x=(24*12)/36=288/36=8

5 0

4 years ago

I NEED HELP GUYS PLEASE!!!! AP STATISTICS

julsineya [31]

Just count how many times a given age appears in the data. If my eyes aren't deceiving me, I count

• 26: 3

• 27: 5

• 28: 5

• 29: 5

• 30: 2

• 31: 1

• 33: 4

Then the second most frequent age in the data is 33, and the least frequent is 31.

6 0

3 years ago