How long will it take for $3000 to grow to $11,700 at an interest rate of 6.3% if the
interest is compounded continuously? Round the number of years to the nearest
hundredth.
A) 0.83
B) 2160.28
C) 21.60
D) 2.16

Answers

Answer 1

Answer:

Step-by-step explanation:

Using A=P(1+r/n)^nt

Where,

P = principal amount (the initial amount you borrow or deposit), in this case $3000

r = annual rate of interest (as a decimal), in this case 0.06

t = number of years the amount is deposited or borrowed for, in this case we don't know it

A = amount of money accumulated after n years, including interest, in this case $21000

n = number of times the interest is compounded per year, in this case 12

     This gives us 21,000=3,000(1+0.06/12)^12t

    After simplification, 7=(1.005)^12t

By taking the logarithm of both sides,

                            Log7=Log1.005^12t

                               12t = Log 7/Log 1.005

                               12t =390.1545

          This gives us 32.5months


Related Questions

Please this is due in 52 minutes...

Please don’t answer this with one answer, blank or ridiculous answer this is serious....

Answers

Answer:

Angle S has a measure of 50°

Step-by-step explanation:

When comparing the angles of a triangle, they are written with the matching angles in the same order. (sorry for bad explanation here)

You have ∆ QRS as congruent to ∆ XYZ. This means angle Q is congruent to angle X, angle R is congruent to angle Y, and angle S is congruent to angle Z. As you can see in ∆ XYZ, angle Z is 50°. Therefore, angle S and angle Z are both 50° (but only angle S is an option)

Find the area of the shape below.

Hint: Find the area of the two triangles and the square and add them together.

Answers

The total area of the shape is 12

I need some help with this​

Answers

Answer:

(3) Median

Step-by-step explanation:

I would say median because it most likely wouldn't be any of the others. Mean would be thrown off with the outlier 0.80. Mode wouldn't really work for this. I don't think standard deviation would work because this isn't coninuous data.

Hope it helps and is correct!

y<1/4x+1 y≥ 3x+2 identify one point that is a solution and identify any point that is NOT a solution

Answers

Answer:

(-1,-1) works (5,5) does not

Step-by-step explanation:

y<1/4x+1[tex]\geq[/tex]3x+2

-1<1/4(-1)+1[tex]\geq[/tex]3(-1)+2

-1<-1/4+1[tex]\geq[/tex]-3+2

-1<.75[tex]\geq[/tex]-1

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PLSSSS SHOWWW THE WORKKK!!!!

Answers

answer: [tex]2^{3} a^{3} b^{12}[/tex]

steps:

you multiply each variable by 3.

example being: 2 x [tex]x^{3}[/tex] is [tex]2^{3}[/tex]

you do this with each of them

hope this helps! <3

You invested 19,000 in two accounts paying 6% and 8% annual interest, respectively. If the total interest earned for the year was $1220, how much was invested at each rate?

Answers

Answer:

(1000,   18000) is the answer

Step-by-step explanation:

Use the following figure to answer the question.
1
2
If _1 and 2 are equal, then lines /and mare parallel.
True
False

Answers

Answer:

true

Step-by-step explanation:

because angle 1 and 2 can only be equal if the lines are parallel

can u guys help i really need to be good at math because i dont want t go to a tewter tomorrow

Answers

Answer: Your answer is (C) 6/14

Step-by-step explanation: Have a brilliant day mate - Lily ^-^

if £2000 is placed in a bank account that pays 3% compoud interest each year , how much will be in the account after 2 years

Answers

Answer:

£2060

Step-by-step explanation:

If the bank pays then you are earning.

3% of 2000 = 60

2000 + 60 = 2060

What is the surface area?
8 ft
3 ft
1 ft
square feet

Answers

Answer: What is the surface area?
8 ft
3 ft
1 ft
square feet
To be honest I don’t really know what this shape is called but if it a rectangular prism then the surface area is going to be 70m^2

Evaluate each expression if m=4,z=9,and r=1/6

1. 12r
2. 60r - 4
3. 3r power of 2

Answers

Answer:

1. 12r= 2

2. 60r - 4= 6

3. 3r power of 2= 1/12

Step-by-step explanation:

1. 12r = 12* 1/6= 12/6= 2

2. 60r - 4 = 60* (1/6) -4= 60/6 -4= 10- 4=6

3. 3r power of 2= 3* (1/6) power of 2= 3* 1/36= 1/12

or

(3*1/6) power of 2= (1/2) power of 2= 1/4

The rectangular base of a 3-D printer East 4.5' by 3' in the Keogh's drawing the base of the printer is 3" by 2" of nicaea in larger drawing to 3 times its size would foot the scale of her events draw

Answers

Answer:

[tex]Scale = 1.5[/tex]

Step-by-step explanation:

Given

[tex]Printer = (4.5',3')[/tex]

[tex]Keogh = (3',2')[/tex]

Required

Determine the scale

This is calculated as:

[tex]Scale = \frac{Original}{Actual}[/tex]

[tex]Scale = \frac{(4.5,3)}{(3,2)}[/tex]

Factorize the numerator

[tex]Scale = \frac{1.5 * (3,2)}{(3,2)}[/tex]

Scale = \frac{1.5 * (3,2)}{(3,2)}[tex]Scale = 1.5 * \frac{(3,2)}{(3,2)}[/tex]

[tex]Scale = 1.5 * 1[/tex]

[tex]Scale = 1.5[/tex]

Graph the equation.
y= 5(x + 1)^2– 3
HELP!!!

Answers

Step-by-step explanation:

the answer is in the attachment

The graph of the function y= 5(x + 1)²– 3 is attached accordingly. See the description of the graph below.

The graph of y= 5(x + 1)²– 3

The equation y = 5(x + 1)² - 3 represents a quadratic function.

The graph is a parabola with its vertex at (-1, -3). It opens upward since the coefficient of the squared term (x²) is positive.

The graph is vertically stretched by a factor of 5 compared to the standard quadratic function.

The x-coordinate of the vertex is -1, indicating a horizontal shift of 1 unit to the left from the standard quadratic.

Learn more about graphs at:

https://brainly.com/question/25799000

#SPJ2

given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions.
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8? show your work.

Answers

Answer:

a) 2.66

b) 9

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

part A: what is the standard deviation of the sampling distribution of x hat? show your work.

We have that [tex]\sigma = 8.4, n = 10[/tex]. So

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{8.4}{\sqrt{10}} = 2.66[/tex]

PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8?

This is n when [tex]s = 2.8[/tex]. So

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]2.8 = \frac{8.4}{\sqrt{n}}[/tex]

[tex]2.8\sqrt{n} = 8.4[/tex]

[tex]\sqrt{n} = \frac{8.4}{2.8}[/tex]

[tex]\sqrt{n} = 3[/tex]

[tex](\sqrt{n})^2 = 3^2[/tex]

[tex]n = 9[/tex]

Find the value of x.
A. 35
B. 10
C. 55
D. 25

Answers

Answer:

A.35

Step-by-step explanation:

trust bro

Answer:D 25

Step-by-step explanation:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes. Round yours answers to 4 decimal places. (a) What is the probability that more than three customers arrive in 10 minutes

Answers

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

1.0 is what percent of 3.5

Answers

Answer:

28.57%

Step-by-step explanation:

Let the required percent be x

1.0 is what percent of 3.5 is written as;

1.0 = x% of 3.5

1.0 = 0.01x * 3.5

0.01x = 1/3.5

0.01x = 0.2857

x = 0.2857/0.01

x = 28.57%

Hence 1.0 is 28.57% of 3.5

How do you solve for 5h+34=17

Answers

Answer:

h=10.2

Step-by-step explanation:

add 34 on both sides so you would have 5h =51 then you divide 51 by 5 so you are left with h = 10.2! have a great day!!



12. A number has an absolute value
of 8. List all of the possible numbers
that have an absolute value of 8
Explain how you know. (Module 3)

Answers

Answer:

8 and -8

Step-by-step explanation:

cause thats how math work

What is the answer please help me

Answers

Answer:

am not really sute bt its ..no

Aubree is going to invest in an account paying an interest rate of 1.5% compounded quarterly. How much would Aubree need to invest, to the nearest dollar, for the value of the account to reach $5,600 in 16 years?

Answers

Answer:

p=4407

Step-by-step explanation:

Answer:

22.2

Step-by-step explanation:

for nearst tenth

Can someone give me the answer asap

Answers

Answer:

https://brainly.in/...,..,

Answer:

38.4895cm²

Step-by-step explanation:

area of a circle with r=7

3.142×7² = 153.958

153.958/4 = 38.4895

30% of the students are absent from math class. If there are normally 30 students, how many are missing?

Answers

9 students would be missing,
30 percent of 30 is 9, hope this helped :)

The chandlers are moving across the country. Mr.Chandler leaves 3.5 before Mrs. Chandler. If he averages 80 mph and she averages 90 mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?

Answers

Answer:

ghehejdskjkdskjdkjfsd

Step-by-step explanation:

Answer:

Step-by-step explanation:

90t=80(t+3.5) expand right side

90t=80t+280 subtract 80t from both sides

10t=280 divide both sides by 10

t=28 hours

Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole. Olga uses 5/6 of a dozen eggs to make scrambled eggs. Who uses make eggs? Explain your answe

Answers

Answer:

Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Step-by-step explanation:

Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:

Sonja = 8/12 = 0.666 x 12 = 8

Olga = 5/6 = 0.83333 x 12 = 10

Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

A nature center has a fish tank in the shape of a rectangular prism the tank is 10 feet long and 8 1/4 feet wide and 6 feet tall The nature center's caretaker filled 4/5 f the tank with water. What was the volume of the water in the tank, in cubic feet? What was the height of the water in the tank? Explain or show your reasoning

Answers

Answer:

They had 20 of them

Step-by-step explanation:

sorry if its wrong

Yeah the answer is 20

PLEASE HELP ASAP 20 POINTS

The newly proposed city park is rectangle shaped. Blake drew a scale drawing of the park and used a scale of 1 cm: 20 ft

1) If the width on the scale drawing of the city park is 25 centimeters, what is the actual width of the park?
A) 250 feet
B) 400 feet
C)500 feet
D)750 feet

2) If the width on the scale drawing of the city park is 25 centimeters and the length is 30 centimeters, what is the actual area of the park?

A) 75,000 ft^2
B) 110,000 ft^2
C) 300,000 ft^2
D) 750,000 ft^2​

Answers

Answer:

1.A

2.B

Step-by-step explanation:

I hope it helps...........

Answer:

1:A

2:B

Step-by-step explanation:WELCOMEEEE HAVE A GREAT DAY :)))((()()(

Socks cost $5 per pair.
The expression 5p
represents the cost in dollars of p pairs of
socks. Why must o be a whole number?

Answers

Answer:

because there is no cents, so its a whole number, and it will help if u put the answer choices

Step-by-step explanation:

Answer:

the whole number is 5 , but I don't understand what the question is ... "if one pair of socks cost 5 dollars, how much would however pairs of socks cost" . is that what the question says ?

Step-by-step explanation:

Need an answer:

Graph g(x)=5|x-6|+2

Answers

your minimum is at (6,2)
your vertical intercept is at (0,32)
your domain: (-infinity, infinity)
your range: [2, infinity)

In the figure below, D is the midpoint of AC, and BD is perpendicular to AC.

What is the length of BD?

Answers

Answer:

(BD)^2 + (DC)^2 = (BC)^2

(BD)^2 + (15)^2 = (25)^2

(BD)^2 +225 =625

(BD)^2= 400

BD= 20cm

Step-by-step explanation:

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