A person places $3090 in an investment account earning an annual rate of 3%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.

Answers

Answer 1

Answer:

V=4298.0915\approx 4298.09

V=4298.0915≈4298.09

Step-by-step explanation:


Related Questions

. If
the perimeter of a rectangle is 36m, and length and breath is (x+1m) and (x+5)m respectively, find its area.​

Answers

Answer:

77

Step-by-step explanation:

solution

Perimeter of a rectangle (P) = 36 m

length (l) = (x+1) m

breadth (b) = (x+5) m

Area (A)= ?

We know that ;

P = 2(l+b)

or,36 = 2(x+1+x+5)

or,36 = 2 (2x+6)

or, 18 = 2x+6

or,18 - 6 = 2x

or, 12 = 2x

x = 6

length (l) = (x+1) = 6+1 = 7 m

breadth (b) = (x+5) = 6+5 = 11 m

Now;

Area (A) = l × b

= 7 × 11

= 77 square m

Answer:

77 m^2.

Step-by-step explanation:

Perimeter = 2 * (length + breadth)

36 = 2(x + 1 + x + 5)

36 = 2(2x + 6)

36 = 4x + 12

4x = 24

x = 6

So  breadth =  6 +1 = 7 and

length = 6 + 5 = 11 m.

Area = length * breadth = 7 * 11

= 77 m^2

How many triangles can be formed with the angle measures: 20, 100, and 60 degrees?

Answers

There are infinite many triangles that can be formed with the angle measures 20, 100, and 60 degrees

How to determine the number of triangles

From the question, we have the following parameters that can be used in our computation:

Angles = 20, 100, and 60 degrees

The above parameters are angles

When only angles are given, the triangle can have as many side lengths as possible

This means that there are infinite many triangles

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Is a function that can be graphed discrete or continuous?

Answers

Answer:

Discrete

Step-by-step explanation:

Discrete means it has ends, and continuous means it continues on forever.

Please help will mark Brainly

Answers

Answer:

Step-by-step explanation:

the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.

-244 is it

rational number
natural number
real number
irrational number
integer

Answers

-244 is an integer, rational and real number

factorise 10(x-2y)-5p(x-2y)​

Answers

Answer:1 0 (

Which point keeps the set of ordered pairs a function {(1,-2).(-2,4), (5,0)}
O (5,2)
O (2,1)
O(-2.3)
O (1,6)​

Answers

B (2,1) is the answer

True or False? Pythagoras
theorem involves the formula a2 +
b² = c²

Answers

Answer:

true

Step-by-step explanation:

Answer true

Explanation


Please help no links!! Look at picture^^

Answers

Answer:

12,983.04

Step-by-step explanation:

[tex]1)\ A_1 = R^2 * Pi = (\frac{56}{2})^2 * 3.14 = 28^2 * 3.14 = 784 * 3.14 = 2,461.76\\[/tex]

[tex]2)\ 2,461.76 * 4 = 9,847.04\ (There\ are\ four\ semi\ circles)[/tex]

[tex]3)\ A_2 = 56^2 = 3,136[/tex]

[tex]4)\ A = A_1 + A_2 = 3136 + 9,847.04 = 12,983.04[/tex]

I’m getting 9.8 not sure what I’m doing wrong

Answers

Answer: 10

Step-by-step explanation:

it says round to nearest 10 your answer was 9.8 so round to 10.

hope this helps :)

PLS HELP 10 POINTS ASAP RN PLSSSSS OR I WILL FAIL CLASS

Answers

A is .898 B is 1 and C is 1.009

(Linear Relationships LC)

Which of the following tables represents a linear relationship that is also proportional?


x y
0 3
3 6
6 9

x y
0 4
2 6
4 8

x y
0 0
6 3
12 6

x y
0 3
5 5
10 7
PLEASE I NEED HELP ASAP

Answers

All the table show the linear relationship, but none of the table show the proportional relationship.

What is proportional relationship?

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

Given:

A). x → y

0 → 3

3 → 6

6 → 9

To show the linear relationship:

We have to find the constant first difference.

That means,

6-3 = 3

And 9 - 6 = 3

The values of this table show the linear relationship.

To show the proportional relationship:

Let x/y = k (k is constant)

We have to find the k:

0/3 = 0,

3/6 = 1/2,

6/9 = 2/3.

The values of this table do not show the proportional relationship.

B). x → y

0 → 4

2 → 6

4 → 8

To show the linear relationship:

We have to find the constant first difference.

That means,

6-4 = 2

And 8 - 6 = 2

The values of this table show the linear relationship.

To show the proportional relationship:

Let x/y = k (k is constant)

We have to find the k:

0/4 = 4,

2/6 = 1/3,

4/8 = 1/2.

The values of this table do not show the proportional relationship.

C). x → y

0 → 0

6 → 3

12 → 6

To show the linear relationship:

We have to find the constant first difference.

That means,

3-0 = 3

And 6 - 3 = 3

The values of this table show the linear relationship.

To show the proportional relationship:

Let x/y = k (k is constant)

We have to find the k:

0/0 = undefined,

6/3 = 2,

12/6 = 2.

The values of this table do not show the proportional relationship.

D). x → y

0 → 3

5 → 5

10 → 7

To show the linear relationship:

We have to find the constant first difference.

That means,

5 - 3 = 2

And 7 - 5= 2

The values of this table show the linear relationship.

To show the proportional relationship:

Let x/y = k (k is constant)

We have to find the k:

0/3 = 0,

5/5 = 1,

10/7 = 10/7.

The values of this table do not show the proportional relationship.

Therefore, none of the table show the proportional relationship.

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Can someone solve this please

Answers

Answer:

u=37

Step-by-step explanation:

u+41= u+4 + u (sum of 2 interior angles is equal to exterior angle)

u+41= 2u+4

2u-u= 41-4

u=37

A committee must be formed with 2 teachers and 3 students. If there are 10 teachers to choose from, and 13 students, how many different ways could the committee be made? ​

Answers

Answer:

12870 ways

Step-by-step explanation:

10c2*13c3

10!/(10-2)!2! *13!/(13-3)!3!

[(10*9*8!)/8!*2*1] *[(13*12*11*10!)/10!*3*2*1]

45*286

12870 ways

Solve: -6n + 5 < 11
Which graph shows the solutions?
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-6-5-4-3 -2 -1 0 1 2 3 4 5 6
-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6

Answers

Answer:

graph should show an open circle on -2 with shading to the right

Step-by-step explanation:

-6n + 5 < 11

-6n < 6

n > -1

solutions consist of all number greater than -1

Johnny combined 7/4 cups of pancake mix and 3/4 of a cup of water to
make pancake batter. If he uses 1/4 of a cup of batter to make each
pancake, how many pancakes can Johnny make from his batter?

Answers

The answer should be 10 pancakes

Please answer this question asap will be marked brainliest

Answers

Answer: 9.85 inches

Step-by-step explanation:

Each point on the graph represents the total rainfall in one month in this desert. For instance, the 2 points on top of 1.0 inches indicates that there were two months in the year where rainfall was 1.0 inches.

The total rainfall in this desert was therefore:

= 0.4 + 0.5 + 0.5+ 0.6 + 0.85 + 0.85 + 0.95 + 1.0 + 1.0 + 1.05 + 1.05 + 1.1

= 9.85 inches

F(x)=2 sin (1/2x)+1
What is the midline of the function

Answers

Answer:

Step-by-step explanation:

Its A

Ms. Lopez goal is to run 25 miles this week.
She runs 3 miles on Tuesday and 4 miles on Wednesday.
What percent of her goal has she accomplished?

Answers

Answer: 28%

Step-by-step explanation: First, we need to find how much she runs in total on Tuesday and Wednesday. So, we add 3 + 4 to get 7. With that, we need to determine how much 7 is from 25. So, it'd look like this:

7 * 100 / 25

700 / 25

=28

Therefore, she's done 28% of her goal (within the 2 days) I hope this helped!

Answer:

I think the other person who answered the question is right

Step-by-step explanation:

Help
The circle graph shows the percent of time different people took turns driving during a 20-hour road trip.




How many hours did Dan drive?

Answers

Answer:  7.4 hours

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

Explanation:

Add up the percentage values:

25+20+6+6+6 = 63

This means 63% of the trip was driven by anyone but Dan. That must mean 100-63 = 37% of the trip is how much Dan drove.

Apply this percentage to the 20 hour duration

37% of 20 = 0.37*20 = 7.4 hours represents how long Dan drove.

extra notes:

7.4 hours = 7 hours, 24 minutes because 0.4 hours = 0.4*60 = 24 minutes7.4 hours = 7 hrs + 24 min = 7*60+24 = 444 minutes

Using the following equation, find the center and radius of the circle. You must show and explain all work and calculations to receive credit. Be sure to leave your answer in exact form.
x^2 + y^2 - 8x + 2y + 13 = 0

Answers

Answer:

Step-by-step explanation:

x²-8x+16+y²+2y+1=16+1-13
(x-4)²+(y+1)²=2²


general form of a circle's equation is
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r= radius
By comparing with A,
(4,-1) is center and radius= 2.

The center of the circle is (-4,2) and the radius is 2

How to determine the center and the radius?

The equation is given as:

x^2 + y^2 - 8x + 2y + 13 = 0

Rewrite as:

x^2 - 8x + y^2  + 2y + 13 = 0

Subtract 12 from both sides

x^2 - 8x + y^2  + 2y = -13

Group each variable

[x^2 - 8x] + [y^2  + 2y] = -13

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

Take the coefficient of x and y

-8 and 2

Divide by 2

-4 and 1

Square both numbers

16 and 1

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

Next, we add 16 and 1 to both sides of the equation

[x^2 - 8x + 16] + [y^2  + 2y + 1] = -13 + 16 + 1

Express as perfect squares and evaluate the sum

(x - 4)^2 + (y + 1)^2 = 4

Express 4 as 2^2

(x - 4)^2 + (y + 1)^2 = 2^2

A circle is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where:

Center = (a,b)

Radius = r

This means that the center of the circle is (-4,2) and the radius is 2

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Which of the following tables represents a linear relationship that is also proportional
Answer picture below ​

Answers

Answer:

c=200+0.4Yd find determine equlibirum level investment is =400

Answer:im pretty sure its D

Step-by-step explanation:it goes through the origin

Rewrite the limit as a definite integral for number 13

Answers

The notation of the limit as a definite integral is given as follows:

[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}} = \int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]

How to write the limit as an integral?

The limit for this problem is defined as follows:

[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}}[/tex]

This is a limit of a Riemann sum, hence it can be written as a definite integral according to the rule presented as follows:

[tex]\int_a^b f(x) dx = \lim_{n \rightarrow \infty} \sum_{i = 1}^{n} f(a + \Delta_x i) \Delta_x[/tex]

As the second term is only a factor of n, the Delta is given as follows:

[tex]\Delta_x = n^{-\frac{3}{2}}[/tex]

As the a term does not appear in the function, the value of the coefficient a is given as follows:

a = 0.

The parent function dependent on k is given as follows:

[tex]f(x) = \sqrt{x}[/tex]

The parameter b is obtained as follows:

[tex]\Delta_x = \frac{b - a}{n}[/tex]

[tex]n^{-\frac{3}{2}} = \frac{b}{n}[/tex]

[tex]b = n^{-\frac{1}{2}}[/tex]

(the parameter n is not given).

Hence the definite integral is obtained as follows:

[tex]\int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

30 and -30 and if that doesn’t work then maybe try -30 first and 30 next

Answer:

the answer would be 30 for positive and -30 for negative

Illustrate the effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream

Answers

The effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream is that there will be more production and demand in the market.

What is Market?

This is referred to as a place where buyers and sellers can meet to facilitate the exchange or transaction of goods and services.

A decrease in the price of milk and input to ice cream means that production costs would fall, which will cause the suppliers to produce more thereby shifting the supply curve to the right with the demand for the goods being increased which is therefore the effect on the market.

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Plz help me well mark brainliest if correct...??

Answers

Answer:

I'm pretty sure the answer is A

Answer:

Answer is A

Step-by-step explanation:

B- The area is LxW meaning it is 3x9= 27 sq cm

C- Area LxW meaning 4x8= 32.

A- I only see 6 but this would mean that the width is 7. 7x6= 42 sq cm.

There you go: Formula is : LxW or multiplying the two numbers.< Hope it helps!

The width of Hudson's science fair poster needs to be more than 2.5 feet wide. Which of the following shows what the width could be? Select TWO that apply
A 40 inches
B 35 inches
C 25 inches
D 20 inches​

Answers

Answer:

a c

Step-by-step explanation:

Mary is going for a walk. She takes 3 hours to walk 9.6 miles. What is her speed?

Answers

Answer:

3.2 mph

Step-by-step explanation:

If it takes her 3 hours to walk 9.6 miles, we need to divide 9.6 by 3.

To do so, we can remove the decimal point in 9.6, to give us 96.

Then, we can divide 96 by 3 to get 32.

Add the decimal back to 32.

Doing so would give us 3.2, and our answer.

We can check this answer by multiplying 3.2 by 3, which gives us 9.6, telling us our answer is correct.

Mili has 5 rocks in his rock collection .he finds 40 rocks outside that he wants to put in his collection . If he places the rocks into boxes of 9 how many boxes of rocks will he have in his collection

Answers

Answer:

40 + 5 = 45

45 ÷ 9 = 5

Therefore, he will have 5 boxes of rocks.

Decide whether the relation is a function *
1) {(-5, -2), (-1, 1), (3, -6), (8, 1)

Answers

Answer:

Step-by-step explanation:

Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

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