All categories

3 years ago

Find the amount in a continuously compounded account for the following condition.

Mathematics

1 answer:

son4ous [18]3 years ago

8 0

Answer:

***The balance after 4 years is $3738.23***

Step-by-step explanation:

The amount in a continuously compounded account is given by:

$A=Pe^{rt}$

where P=$3000 is the principal, r=5.5% is the annual interest rate and t=4 years.

We substitute these values to obtain:

$A=3000e^{.055*4}$

This will evaluate to:

$A=3738.23019$

Rounding to the nearest cent, we get: $3738.23

You might be interested in

PLS HELP ME ASAP WITH THIS WHOLE PAGE! THANK YOU SOO MUCH!!

Doss [256]

1a) The function has arrows on both ends and no place in the middle where it is not defined. Its domain is ...
All Reals

1b) The function gives no output values below -3, but it gives output values of -3 and all above that. Its range is ...
y ≥ -3

1c) For values of x less than -1, the function's output is 1. This matches g(x) and s(x). At x=0, the function's output is -3, which only matches g(x). The appropriate choice is ...
g(x)

2b) The function is only defined for 0 ≤ x < 8. This is its domain.

3) A definition might be ...
$y=\left\{ \begin{array}{rcl}x+1 & \mbox{for} & -4\le x \le 1\\-x & \mbox{for} & 1 < x \le 3 \end{array}$

6 0

3 years ago

Which statement regarding the diagram is true?

Nuetrik [128]

Find out the statement true regarding the diagram given in the question

Answer

the statement is true regarding the diagram is

m∠WXY + m∠YXZ = 180°

REASON

As shown in the diagram

∠WXY and ∠ YXZ are supplementary angles.

Supplementary angle definition

Two Angles are said to be Supplementary when there sum is equal to 180 °.

thus we get

m∠WXY + m ∠YXZ = 180 °

Therefore the m∠WXY + m∠YXZ = 180° is the true statement.

8 0

3 years ago

Read 2 more answers

Suatu jenis roti memerlukan 150 gram tepung dan 50 gram mentega. Roti jenis lain memerlukan 75 gram tepung dan 75 gram mentega,

Katena32 [7]

Let the one type of the bread be bread A
The second type of the bread be bread B

Let the flour be 'f' and the butter be 'b'

We need 150f + 50b for bread A and 75f + 75b for bread B

We can compare the amount of flour and bread needed for each bread and write them as ratio

FLOUR

Bread A : Bread B
150 : 75
2 : 1

We have a total of 2250gr of flour, and this amount is to be divided into the ratio of 2 parts : 1 part. There is a total of 3 parts.

2250 ÷ 3 = 750 gr for one part then multiply back into the ratio to get

Bread A : Bread B = (2×750) : (1×750) = 1500 : 750

BUTTER

Bread A : Bread B = 50 : 75 = 2 : 3

The amount of butter available, 1250 gr is to be divided into 2 parts : 3 parts.
There are 5 parts in total

1250 ÷ 5 = 250 gr for one part, then multiply this back into the ratio

Bread A: Bread B = (2×250) : (3×250) = 500 : 750

Hence, for bread A we need 1500 gr of flour and 500 gr of butter, and for bread B, we need 750 gr of flour and 750 gr of butter.

3 0

3 years ago

Read 2 more answers

Evaluate 3x-4y when x=5 and y=-1

balandron [24]

Answer:

19 is the answer

Step-by-step explanation:

3x - 4y

= 3 × 5 - 4 × (-1)

= 15 + 4

= 19

hope this answer will help you

8 0

3 years ago

Please Help!!!! Will Mark Brainliest!!!! Pleaseeee!! 20 Points!!!!

Alina [70]

Answer:

THE MONEY

Step-by-step explanation:

5 0

3 years ago