A person places $4630 in an investment account earning an annual rate of 5.7%,
compounded continuously. Using the formula V = Pert, where Vis 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 9 years.

Answers

Answer 1

Answer:

75.935

Step-by-step explanation:

If V = Pe^rt and we are given P (the principle investment) =4630 ,

a rate of 5.7 % which as a decimal = 0.057 (% divided by 100 = decimal)

we can substitute this information in and get V=4630 e^(.057t).

then it says what will it be in 9 years? so we put 9 in for "t" and get

v = 4630 e^(0.057 * 9) simplify using a calculator and we will get our answer.


Related Questions

De las siguientes oraciones ¿Cuál es una proposición?
a)El sol es una estrella
b)El autor de "La vida es sueño"
c)¡Pon atención!
d)¿Cuándo es el examen de historia?

Answers

Answer:

c

Step-by-step explanation:

Answer:

translation: Of the following sentences, which is a proposition? a) The sun is a star b) The author of "Life is a dream" c) Pay attention! d) When is the history exam also its c i think

Step-by-step explanation:

using this distribution find the probability that a teenager has 3 or fewer pairs of shoes in their closet(answer in decimal form)​

Answers

Correct me if I’m wrong

Answer:

.7

Step-by-step explanation:

On a large map 3 cm represents 45 km how many cm are needed to represent 600 kilometres on this map?

Answers

Answer:

Number of cm= 40 cm

Step-by-step explanation:

Giving the following information:

3 cm equals 45 kilometers

1 cm= 45 /3 = 15km

We need to determine how many centimeters represents 600 km. We will use the following formula:

Number of cm= total km / km per one cm

Number of cm= 600 / 15

Number of cm= 40 cm

Please help because I have to submit this this week

Answers

Answer:

67

Step-by-step explanation:

its a 90 degree angle so u have to do 90-23 which equals to 67

1-cosx/1+cosx=secx-1/secx+1
Verify the identity. I tried all identities that I could, but could not find how it worked. Can you show me how to verify with all steps?

I usually do not ask on brainly, but I've tried everything else and still got nothing.
Currently in Algebra 2 and in the 9th grade.

Answers

Answer:

Sorry cannot help you, I'm only in year 8 (7th grade if I'm correct), and am horrible at Algebra. I'm sorry :(

2. Eli has 600 cubes that are 1 cubic inch. Select the smallest length a cube- shaped box can have while being able to hold the 600 cubes. A 7 in. B 8 in. C 9 in. D 10 in.

Answers

Answer:

9 in

Step-by-step explanation:

We need to find x in x^3 > 600

For x=8, 8^3 = 512 < 600 (Too Small)

For x=9, 9^3 = 729 > 600 (Just right)

For x=10, 10^3 = 1000 > 600 (Too big)

Therefore, the smallest length of the cube-shaped box is 9 in.

Please helpp

How much money would you have after 7 years if you invested $12,000 at 2% compounded annually?

Answers

Answer:

13,784

Step-by-step explanation:

Michael is buying new tile for his bathroom. The bathroom is 6 feet wide and 7 feet long. It costs $1.75 per square foot of material for the bathroom. If Michael goes to the store with $70, will he have enough money to buy the material. Why or why not.

Answers

Answer: yes because  all the math adds up to 22.75 and he has 70

Step-by-step explanation:

What is the solution to the equation 3 + 4 sqr root 4y = 4?

Answers

Answer:

1/64

Step-by-step explanation:

Given the expression

3+4√4y = 4

4√4y = 4-3

4√4y = 1

√4y = 1/4

Square both sides

(√4y)²= (1/4)²

4y = 1/16

y = 1/16 * 1/4

y = 1/64

Hence the value of y is 1/64

What are the first two steps in solving the radical equation below?
X+3 - 7 - 15
A. Square both sides and then subtract 3 from both sides.
B. Add 7 to both sides and then square both sides.
C. Add 7 to both sides and then subtract 3 from both sides.
D. Square both sides and then add 7 to both sides.

Answers

Answer:

B

Step-by-step explanation:

add 7 to get away the 7 on the left hand side

square both side to eliminate square root

The first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.

What are radical?

A radical is the opposite of the power, therefore, the roots are known as the radical. It is denoted as √, ∛, etc.

In order to solve the given radical, we will go through the following steps,

[tex]\sqrt{x+3}-7=15[/tex]

1.  Add 7 both the sides to eliminate -7 from both the sides,

   [tex]\sqrt{x+3}-7+7=15+7\\\\\sqrt{x+3}=22[/tex]

2. Square both the sides to remove the square root,

   [tex]\sqrt{x+3}=22\\\\(\sqrt{x+3})^2=22^2\\\\x+3 = 484[/tex]

Hence, the first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.

Learn more about Radical:

https://brainly.com/question/1369233

Which phrase from the text most clearly explains the main idea of the third paragraph? (5 points)
Memory uses general knowledge
Other memories and other stories
When telling a friend about the event
Rather than the actual participant

Answers

Answer:

is there an image of the story?

Answer:

A. Memory uses general knowledge

I deeply apologize if it's wrong but that's just what I think.

Also, I just took the test with this question and I'm pretty sure I got it correct.

Tanya has a $50 gift card to spend on Amazon. She wants an airpod case cover for $12.
She also wants to buy some bracelets for $9.50 each. How many bracelets can she buy
without going over?

Answers

Answer:

4

Step-by-step explanation:

She can buy 4 bracelets because 4 x 9.50 = 38 + 12 = 50. So 4 would fit her budget perfectly without going over. LEt me know if you find any fault in my answer! Thanks! Have a good day! Hope this helps!

Marla's mom bought a 36-pack of water bottles at the supermarket. Each bottle has 500 mL of water. How many liters of water is this?

Answers

Answer:

18 L

Step-by-step explanation:

36 packs * 500 mL =  18000 mL

18000 mL / 1000 = 18 L

I WILL GIVE BRAINLIEST. PLEASE HELP RIGHT NOW

Answers

Answer:  Function A= (0,8)

Function B= (0,2)

{(-4,12),(0,-1),(4,0),(x,y)} =6(4.0),(x,y)

I didn’t do the last one I’m sorry

Step-by-step explanation:

What is the length of AD??

Answers

Answer:

d

Step-by-step explanation:

hiiiiiiii

it’s going to be D for the answer of itttt

No links please!


If f(x) =x^4+5 then what is the remainder when f(x) is divided by x+5?

Answers

Answer:

630/x+5 (remainder over divisor)

Help me on this I have no idea how to do this

Answers

Answer:

i also don't have the idea

In the standard equation of a circle (x – h)2 + (y – k)2 = r2, h and k are...

Answers

Answer:

see explanation

Step-by-step explanation:

The standard form of the equation of a circle is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Write an equation for the line, in point slope form given the following information
Slope = 1/4 contains the point (8,-3)

Answers

Answer:

y+3=1/4(x-8)

simplified -> y+3=1/4x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=1/4(x-8)

y+3=1/4(x-8)

If you want it to be further simplified

y+3=1/4x-2

It takes Michael 4 minutes to fill 7 buckets with water. Calculate the unit rate of buckets per minute.

Answers

It takes Michael 2/1 minutes

Am I correct? Please explain!

Will mark brainliest

Answers

Answer:

nr. 1 and 3 is a Dilation 2 and 4 are not Dilations

Step-by-step explanation:

Dilation is an elnargment or shink of a figure by a x(factor) that makes the SAME image but smaller or larger

Can someone help me on this question?

Answers

Answer:

90°

Step-by-step explanation:

opposite angles of quadrilateral is 180 so

<d is 180-90 = 90

what is the probability of a chance event is 0.05, it to happen when compared to a chance event with a probability of 0

Answers

Answer:

I can't understand

Step-by-step explanation:

I will just try to rewrite your question so someone lese can answer it.

"What is the probability of a chance event, with a probability of 0.05, to happen when compared to a chance event with a probability of 0."

or just what is the probability(how high or low are the chances) of an event with a very low chance of happening when compared to an event that can never happen.

PLEASE HELP WILL GIVE BRAINLIST Identify the transversal connecting each pair of angles.
Then classify the relationship between each pair of angles as alternate
interior, alternate exterior, corresponding, or consecutive interior angles.

Answers

Answer:

27and 28

for your question ⁉️


Please help me I’ll mark brainliest:)

Answers

answer: x=5

explanation: use the pythagorean theorem.
13^2=12^2+x^2
169=144+x^2
25=x^2
x=5

Which of the following sets of side lengths could produce a triangle? SELECT ALL THAT APPLY. (7TH GRADE MATH)
A) 3,6,9
B) 13, 5, 6
C) 5, 5, 10
D) 5, 7, 11
E) 4, 4, 4

Answers

Answer: C)5,5,10

Step-by-step explanation:

C




Trust me



I want a cookie tho

Rectangle PQRS is rotated 90° counterclockwise about the origin.

Answers

Answer:

Can you please provide more information about the rectangle? Do you have a graph or some points?

Answer:c

Step-by-step explanation:

Coom somebody help me with this problem, please.*
*brainiest goes to first answer and correct answers

Answers

Answer:

A. is 4

B. is 3

C. is 1

D. is 2

An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder? PLEASE HELP ME!!!! ITS THE TEST FROM PERFORMANCE MATTERS

Answers

Answer: 24 inches

Step-by-step explanation:

Let the radius be represented by x

Therefore, the height will be = 2×x = 2x

Volume of a cylinder = πr²h

where, Volume = 3500

π = 3.14

r = x

h = 2x

We then slot in the values into the formula

Volume = πr²h

3500 = 3.14 × x² × 2x

3500 = 3.14 × 2x²

2x² = 3500 / 3.14

2x² = 1114.65

Divide through by 2

x² = 1114.65 / 2

x² = 557

x = ✓557

x = 23.6 = 24 approximately

The radius is 24 inches

A tourist attraction experienced a 3.75% fall in visitor numbers in June, compared to the previous month due to bad weather There were 121660 visitors in June How many visitors were there in May? B) In July there were 4.5% more visitors than in May What was the percentage increase in visitor numbers from June to July?

Answers

Answer:

(A) 126400

(B) 8.57%

Step-by-step explanation:

(A) According to the scenario, calculation of the given data are as follows,

Visitors in June = 121660

Let visitors in May = X

Difference in visitors number in June = 3.75% decrease

So, we can calculate the visitors number in may by using following formula,

Number of visitors in June = X - 3.75%X

121660 = 96.25%X

X = (121660 × 100) ÷ 96.25

X = 126400

Hence, Number of visitors in may = 126400

(B). Difference in visitors in July than in May = 4.5% increase

So, Number of visitors in July = 126400 + (126400 × 4.5%)

= 126400 + 5688

= 132088

Now, we will calculate increase in percentage by using following formula,

Increase percentage = (132088 - 121660)  ÷ 121660

= 10428 ÷ 121660

= 0.0857 or 8.57%

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