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uranmaximum [27]
2 years ago
14

A person places $4080 in an investment account earning an annual rate of 5.7%, compounded continuously. Using the formula

Mathematics
2 answers:
xeze [42]2 years ago
8 0

Answer:

5124.83

Step-by-step explanation:

r=5.7\%=0.057

r=5.7%=0.057

Move decimal over two places

P=4080

P=4080

Given as the pricipal

t=4

t=4

Given as the time

V=Pe^{rt}

V=Pe  

rt

 

V=4080e^{0.057( 4)}

V=4080e  

0.057(4)

 

Plug in

V=4080e^{0.228}

V=4080e  

0.228

 

Multiply

V=5124.8281\approx 5124.83

V=5124.8281≈5124.83

tangare [24]2 years ago
4 0

We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.

We will use continuous compounding formula to solve our given problem as:

, where

A = Final amount after t years,

P = Principal initially invested,

e = base of a natural logarithm,

r = Rate of interest in decimal form.  

Upon substituting our given values in above formula, we will get:

Upon rounding to nearest cent, we will get:

Therefore, an amount of $7499.82 will be in account after 2 years.

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Hi please help me really need it!
adelina 88 [10]

Answer:

C

Step-by-step explanation:

To Solve, just cube the terms on the right side to see if they go back to the number on the left.

The first part is true because multiplying 11 * 11 * 11 = 1331.

The second part is true because multiplying 5 * 5* 5 = 125.

The third part is false because multiplying 8 * 8 * 8 = 512.

The fourth part is true because multiplying 1 * 1* 1 = 1.

8 0
2 years ago
Two angles are supplementary. The measure of one angle is 4 times the measure of the other angle. What is the measure of the sma
Alexus [3.1K]
ANSWER

The smaller angle is

y = 36 \degree



.EXPLANATION

Let the angles be
x \:  and \:  \: y

where y is the smaller angle.
Since they are supplementary, they will add up to 180°.


This implies that,

x + y = 180 \degree...(1)


If one angle is 4 times the other, we can then write the following equation,

x = 4y...(2)


We put equation (2) into equation (1) to get,



4y + y = 180 \degree


5y = 180 \degree


We divide through by 5 to obtain,

y = 36 \degree


This implies that,

x = 4(36)


x = 144 \degree
3 0
3 years ago
Find the set below using A=(5,6,9), and so on (Explanation is in picture)
anzhelika [568]

The result is: {5,6,9}

Step-by-step explanation:

Given

U = {0,1,2,......,10}

A = {5,6,9}

B = {0, 6, 7, 10}

We have to find

(A∩B)U(A∩B')

First of all,

<u>B':</u>

B' = U -B = {0,1,2,......,10} -  {0, 6, 7, 10}

= {1,2,3,4,5,8,9}

<u>A∩B':</u>

A∩B' = {5,6,9} ∩ {1,2,3,4,5,8,9}

= {5,9}

<u>A∩B:</u>

A∩B = {5,6,9} ∩ {0, 6, 7, 10}

={6}

At the end we have to find union

(A∩B)U(A∩B') = {6} U {5,9}

(A∩B)U(A∩B') = {5,6,9}

Hence,

The result is: {5,6,9}

Keywords: Sets , Union

Learn more about sets at:

  • brainly.com/question/3126500
  • brainly.com/question/3306327

#LearnwithBrainly

8 0
3 years ago
The boys' basketball team at Washington High School has been doing really well so far this year. In the past six games, they've
o-na [289]
The answer is 75.3 but the three is forever
7 0
3 years ago
Read 2 more answers
What is the value of the expression 9 × 2 + 2 × 5²
NARA [144]

9 \times 2 + 2 \times  {5}^{2}  \\  = 18 + 2 \times 25 \\  = 18 + 50 \\  = 68

6 0
2 years ago
Read 2 more answers
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