If $2,500 is invested at 12% annual interest, which is compounded continuously, what is the account balance after 3 years, assuming no additional deposits or withdrawals are made?

Answer:

±94

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

x  (1st consecutive term)

x + 2 (2nd consecutive term)

Step 2: Set up equation

x(x + 2) = 2208

Step 3: Solve for x

Step 4: Identify Consecutive Integers

Possibility 1: x = -48

1st Consecutive Even Term: -48

2nd Consecutive Even Term: -48 + 2 = -46

Possibility 2: x = 46

1st Consecutive Even Term: 46

2nd Consecutive Even Term: 46 + 2 = 48

Step 5: Find sums

Possibility 1: x = -48

-48 + -46 = -94

Possibility 2: x = 46

46 + 48 = 94

Answer: The answer should be 0.10d + 0.01p

Step-by-step explanation: please give brainliest :)

Answer:

33

Step-by-step explanation:

T8 = A + (8 - 1) d

T8 = 5 + 7d

T8 = 5 + 7(4)

T8 = 5 + 28

T8 = 33

note : d is the common difference gotten from T2 - T1

Answer:

33

Step by step explanation:

Eight term of the sequence = a + 7d

where:

a= first term

d= common difference

first term = 5

common difference = 4

= 5 + 7(4)

= 5 + 28

= 33

Answer:

27.27% of the class was absent

Step-by-step explanation

Answer:

Dracula will be left with 24 candies

Step-by-step explanation:

The given problem is of fractions and percentages.

Given that

Total pieces of candy = 48

Now as it is mentioned that Dracula gives 1/3 of his candies to his friend, wee have to find the one third of the total pieces of candies first.

[tex]one-third\ of\ candies = \frac{1}{3} * 48\\= 16[/tex]

Dracula will be left with:

[tex]Candies\ left = Total\ candies - one\ third\ of\ candies\\= 48-16 = 32[/tex]

Dracula will be left with 32 candies after giving one third to his friend.

Now he gives 25% of remaining to his cousin

So,

[tex]25\%\ of\ 32\\= \frac{25}{100}*32\\=8[/tex]

Dracula will be left with: 32-8 = 24 candies

Hence,

Dracula will be left with 24 candies

Answer:

Step-by-step explanation:

(a).

Multiples of 4 are {4, 8, 12, 16, 20, 24, 28, ..... }

Multiples of 6 are {6, 12, 18, 24, 30, ..... }

12 and 24

(b).

Multiples of 6 are {6, 12, 18, 24, 30, 36, 42, ..... }

Multiples of 9 are {9, 18, 27, 36, 45, ..... }

18 and 36

Answer:

Using the slope-intercept form, the slope is 2 2 .

Step-by-step explanation:

The equation of a perpendicular line to y=2x+4 y = 2 x + 4 must have a slope that is the negative reciprocal of the original slope.

Answer:

1. 1/7 x 7/1= 1

2. 5/9 x 9/5= 1

3. 23/11 x 11/23= 1

4.  13/61 x 61/13= 1

5. 8/9 x 9/8= 1

Explanation:

when finding the reciprocal of a fraction, the numerator becomes the denominator, and the denominator becomes the numerator. keep in mind that when you multiply a fraction by its reciprocal, it will always equal 1.

Answer:

24

Step-by-step explanation:

Answer: 130+8(m)

Step-by-step explanation: you want to add how much water times m is added to your very first amount

Answer:

the number is 30.

Step-by-step explanation:

Look at the denominators, 6 and 36.

6 x 6 = 36, so....

We multiply the 5 on top by 6 as well

5 x 6 = 30

So, the number is 30.

hope this helped!

Answer:

30/36

Step-by-step explanation:

Answer:

A. 62%

Step-by-step explanation:

64.50x = 40

x = 0.62015 or 62%

This means 62% of original price is $40, discount is 38%. From your options seem to be asking for percent of original price paid and not discount.

Answer:

Step-by-step explanation:

50% mi amigo

Answer:

10/9 +  [tex]\frac{1}{3} \sqrt{10}[/tex] i

Step-by-step explanation:

([tex]\frac{1}{3} \sqrt{5}[/tex] - [tex]\frac{1}{2} \sqrt{2}[/tex]i) ² =

([tex]\frac{1}{3} \sqrt{5}[/tex] )² + 2([tex]\frac{1}{3} \sqrt{5}[/tex] [tex]\frac{1}{2} \sqrt{2}[/tex])i - ([tex]\frac{1}{3} \sqrt{5}[/tex]i) ² =

5/9 + [tex]\frac{1}{3} \sqrt{5}[/tex] [tex]\sqrt{2}[/tex] i - (5/9. (-1)) =

10/9 +  [tex]\frac{1}{3} \sqrt{10}[/tex] i  

Answer:

x = 40

Step-by-step explanation:

The  two sides on top are congruent,  Kites have two pairs of adjacent sides that are equal. so since it's 40 degrees on one side, the same will happen to the other.

Answer:

7

Step-by-step explanation:

Answer:

7;-3

Step-by-step explanation:

9+5/2 ; 1+(-7)/2

14/2 ; -6/2

7 ; -3

Answer:

5(x+4) ≥ 19

x ≤  -1/5

Step-by-step explanation:

5(x+4) ≥ 19

5x + 20 ≥ 19

5x ≤  -1

x ≤  -1/5

Answer:

6 quarters and 20 dimes

Answer:

101.5m left to use after the big top goes up.

Step-by-step explanation:

18*10=180  [tex]\pi[/tex]r[tex]x^{2}[/tex]= 3.14*5^{2}=3.14*25=78.5

180-78.5= 101.5m

Answer:

12.9x-9

Step-by-step explanation:

5.3x-9+7.6x

5.3x+7.6x = 12.9x

=12.9x-9

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}[/tex]

Step-by-step explanation:

[tex]f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}[/tex]

Answer:

4.78

Step-by-step explanation:

=47.82 x 10/100

=47.82 x 1/10

=4.782

=~ (approx) 4.78