Suppose $2000 is invested at 9% interest compounded continuously. How long will it take for the investment to grow to $10,000? Use the model A ( T ) = P e^rt and round to the nearest tenth of a year.

It will take approximately ____ years for the investment to grow to $10,000.
.

Answers

Answer 1

Answer:

7

Step-by-step explanation:

sing the equation         >    A  =  Pe^rt

20000  =    10000e^0.1t    >       10%  =  0.1

2  = e^0.1t

log 2  =    log e^0.1t               >     log to the base e

log 2  =  0.1t * 1              log e to the base e  =1

0.6931 = 0.1t

t =   6.931

  =    7 years

Hope this helps <3

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Related Questions

The sides in each pair of figures are proportional. Find the missing length.

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Answer:

41. is c.

42. is d.

Step-by-step explanation:

5x-9=2x+12
can somebody answer this and if possible, can you show work?​

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Answer:

X = 7

Step-by-step explanation:

5x-9=2x+12

5x-2x=12+9

3x=21

X=21/3

X=7

A single ticket for a journey costs $1.25
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Lily makes 25 journeys.
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Answer:

answer i dont know please

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(4t+na) (t - 2na)

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Answer:

4t^2 - 8tna + nat - 2 n^2 a^2

Step-by-step explanation:

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log square root 27 ÷ log 81

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I think 0.33333333333333 log square root, I actually don’t know hope that helps

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! NOT A MULTIPLE CHOICE!!!

The point (-2, 5) is reflected over an axis and the new point is located in Quadrant 3.


a. Describe the reflection that happened. What axis was the point reflected over?


b. What are the coordinates of the new point?

Answers

9514 1404 393

Answer:

x-axis(-2, -5)

Step-by-step explanation:

a) The original point is in quadrant 2. Reflection into quadrant 3 is a reflection over the x-axis.

__

b) Reflection over the x-axis changes the sign of the y-coordinate. The new point is (-2, -5).

-8 + 2x + 17 - x + 20​

Answers

If you are looking to simplify the answer is: 29x
Answer: 29+x
Explanation: 20+17-8=29 , 2x-x=1x=x

Pls help will do brainliest answer

Answers

Answer:

[tex]f(x) = 15 \csc(x) + 5[/tex] (first option)

Step-by-step explanation:

[tex]f(x) = a \: \csc(x) + b[/tex]

[tex]a + b = 20[/tex]

[tex] - a + b = - 10[/tex]

••••

[tex]2b = 10[/tex]

[tex]b = 5[/tex]

[tex]a = 20 - 6 = 15[/tex]

[tex] = f(x) = 15 \csc(x) + 5[/tex]

Helppppppppppppp meeeee pleaseeeeeee

Answers

Answer:

I'm pretty sure it's the first and last one

The following image is a piece of tile from a bathroom floor. What does the bolded line represent?

A. a line
B. a line segment
C. a ray
D. a plane

Answers

The bolded line represents a line segment rather than a line or a plane.

What is a line?

A line refers to an infinite figure that extends to the sides. For example, the railway track is composed of two lines.

What is a line segment?

This differs from a line because it is not infinite, instead, it is a section of a line with two endpoints. This concept applies to the bolded section of the tile because the section shows only a section of a line between two corners rather than a complete line.

Learn more about lines in: https://brainly.com/question/2696693

Answer:

The answer is B

Step-by-step explanation:

THE STUDENTS ON THE SCHOOL NEWSPAPER ARE CONTRIBUTING MONEY FOR A GIFT FOR THEIR STAFF ADVISOR. THE COST PER STUDENT FOR THE GIFT VAIES INVERSELY AS THE NUMBER OF STUDENTS WHO CONTRIBUTE. iT WILL COST $6 PER STUDENT IF 12 STUDENTS CONTRIBUTE. HOW MUCH WILL IT COST PER PERSON IF 15 STUDENTS CONTRIBUTE

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Answer:

ok

Step-by-step explanation:

See attachment for the question

Answers

Answer:

-22

Step-by-step explanation:

f(x) = 3x^2 - 5

let x= 3

f(3) = 3*(3)^2 -5 = 3(9) -5 =27-5 =22

g(x) = -2x+5

Let x = 3

g(3) = -2(3) +5 = -6+5 = -1

f(3) *g(3) = 22(-1) = -22

Find the point on the paraboloid z = 4x2 + 4y2 which is closest to the point
(4; 5; 6).

Answers

Using the method of Lagrange multipliers: the Lagrangian is

[tex]L(x,y,z,\lambda) = (x-4)^2+(y-5)^2+(z-6)^2 - \lambda (z-4x^2-4y^2)[/tex]

Fix λ > 0.

That is, we are minimizing the squared distance of a point (x, y, z) on the paraboloid to the point (4, 5, 6). We can use the squared distance in place of the proper Euclidean distance because both f(x) and √f(x) have critical points at the same point x ; plus the math works out much more easily.

Find the critical points of the Lagrangian:

[tex]\dfrac{\partial L}{\partial x} = 2(x-4) + 8\lambda x = 0 \\\\ \dfrac{\partial L}{\partial y} = 2(y-5) + 8\lambda y = 0 \\\\ \dfrac{\partial L}{\partial z} = 2(z-6) - \lambda = 0 \\\\ \dfrac{\partial L}{\partial\lambda} = -z+4x^2+4y^2 = 0[/tex]

Solving for λ in terms of x, y, or z gives

[tex]\displaystyle \lambda = \frac1x-\frac14 = \frac5{4y} - \frac14 = 2z-12[/tex]

so right away, we get

[tex]\dfrac5{4y} - \dfrac14 = \dfrac1x - \dfrac14 \implies y=\dfrac{5x}4 \\\\ 2z-12 = \dfrac1x-\dfrac14 \implies z = \dfrac1{2x} + \dfrac{47}8[/tex]

Substitute these into the constraint and solve for x, then for y and z :

[tex]\dfrac1{2x} + \dfrac{47}8 = 4x^2 +4\left(\dfrac{5x}4\right)^2 \implies 82x^3 - 47x - 4 = 0[/tex]

This has 3 roots, but we take the lone positive solution for x because otherwise λ would be negative. This root is x ≈ 0.7965.

Then it follows that the closest point on the paraboloid to (4, 5, 6) is the critical point (0.7965, 0.9956, 6.5028).

Hello! PLEASEEEE PLEASEE GIVE THE ANSWERS TO THESE! I WILL GIVE BRAINLIEST TO THE FIRST ANSWER AND 30 POINTS !!!​

Answers

Answer:

sorry  cause pic is small and cant enlarge

Step-by-step explanation:

Question 5
1 pts
Find the coordinate of the other endpoint if the midpoint is (5,5) and endpoint is (-1,4).
O (9,6)
(11,6)
(11, 14)
O (9, 14)

Answers

Answer:

(11,6)

Step-by-step explanation:

Help, been trying for forever

Answers

It's A and C.

A because if you multiply the numbers inside square roots , you will get exactly same ans.

C because √75 is 5√3 and if you multiply it with 2 you get 10√3. √50 is 5√2 and if you multiply it with 3 then you get 15√2.

a & c
not sure how to explain but that’s what i got
(sorry)

[tex](-1)^{2} + 2^{3} -0^{4}[/tex]

Answers

Answer:

9

Step-by-step explanation:

[tex](-1)^{2} + 2^{3} -0^{4}[/tex]

[tex] = 1 + 8 - 0[/tex]

= 9 (Ans)

Factor –6x^2 – x + 2

Plus checking with FOIL

Answers

Answer:

x= 1/2 or x= -2/3

Step-by-step explanation:

-6x²-x+2=0

-6x²-4x+3x+2=0

-2x(3x+2) + 1(3x+2)=0

(-2x+1) (3x+2)=0

-2x+1=0 or 3x+2=0

x= -1/-2 or x= -2/3

so therefore

x=1/2 0r -2/3

using FOIL method

FIRST: (-2x)(3x)= -6x²

OUTER: (-2x)(2)= -4x

INNER: (1)(3x)= 3x

LAST: (1)(2) =2

-6x²-4x+3x+2

Given the sequence -14, -6, -2, 0, 1, ..., find the recursive formula.

Answers

Answer:

C is the answer to your question

(2x+1)(3x+4)=0
2x+1=0 3x+4=0

Solve for both equations. What are the two x-values/answers going to be? Leave your answer in a simplified fraction.
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Answers

Answer:

2x+1=0.

2x=0-1.

2x=-1.

2x/2=-1/2.

x=-2.

3x+4=0

3x=0-4

3x=-4

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[tex]x = 1 \frac{1 }{3} [/tex]

Classify the following polynomials. Combine like terms first. PLEASE ANSWER I'm really confused. :(
2x-x2+4x+x2
x3-5x2+3-2
x3-x3+x2-x2+3
7x-x2+x3+4x2
-6x-x3+6x-4x

Quadratic monomial
Quadratic binomial
Quadratic trinomial
Cubic monomial
Cubic binomial
Cubic trinomial
Linear monomial
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Answers

5−33−32+39+3

Not sure?

how do you put 300,000+10,000+6,000+20+9

Answers

Answer:

three hundred thousand plus ten thousand plus six thousand plus twenty plus nine

Step-by-step explanation:

300,000 → three hundred thousand

10,000 → ten thousand

6,000 → six thousand

20 → twenty

9 → nine

+ → plus

Now put everything together.

Best of Luck!

Without using mathematical tables,find 6log(x+4)=log64

Answers

Answer:

x=-2.2180

Step-by-step explanation:

steps are in picture

5. (09.06 MC)
The graphs of the polar curves r = sin e-2 and r = cos(20 + 3) are shown.
Find the area of R, which is the region inside r = sin 6-2, but outside r = cos(20 + 3). (10 points)
31.416
12.566
15.708
0 25.133

Answers

Answer:

12.566

Step-by-step explanation:

A = ∫1/2(r)^2dtheta from a - b = 0 to 2π

∫1/2(sin^2theta-4sintheta+4)dtheta

[9/4theta+2costheta-1/8sin2theta] from 0 to 2π…

when you solve this you get 14.137 without taking out the cos(2theta+3)

ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)

Answers

Line 1-Line 2-Associative property .

Line 2-Line 3- Distributive property

Solution:-

[tex]\\ \rm\longmapsto (9+x)x[/tex]

[tex]\\ \rm\longmapsto x(x+9)[/tex]

[tex]\\ \rm\longmapsto x(9+x)[/tex]

[tex]\\ \rm\longmapsto x^2+9[/tex]

Is 1 3/4 closer to 1 or 2 ? Explain your answer

Answers

Answer:

it's closer to 2

Step-by-step explanation:

In order to get to 1 from that number, you have to subtract 3/4.  In order to get to 2 from that number, you only have to add 1/4.  Clearly, the jump in adding is  smaller than the jump to subtracting, which means it's closer to 2.

The number is closer to 2

What is fraction?

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'. The Egyptians, being the earliest civilization to study fractions, used fractions to resolve their mathematical problems, which included the division of food, supplies, and the absence of a bullion currency.

All fractions consist of a numerator and a denominator and they are separated by a horizontal bar known as the fractional bar.

The denominator indicates the number of parts in which the whole has been divided into. It is placed in the lower part of the fraction below the fractional bar.The numerator indicates how many sections of the fraction are represented or selected. It is placed in the upper part of the fraction above the fractional bar.

Given number:

1 3/4 = 7/4

On dividing

7/4 = 1.75

Hence, the number is closer to 2.

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#SPJ2

please, solve for x!

Answers

Answer:

15

Step-by-step explanation:

x*x = 9*9 + 12*12

--> x = 15

Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
True
False
IAI > 0
True
False
A>B
True
False

Answers

Answer:

Points A and B are represented on the number line.

А

B

-ht

-2

-1

0

1

2

Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.

Statement True or False?

IAI > IBI

False

IAI > 0

False

A>B

true

If f(x)=10x+7 and g(x)= x^2-7x, find (f-g)(x).

Answers

Answer:

Choice C. [tex](f-g)(x)=-x^2+17x+7[/tex]

Step-by-step explanation:

Recall that [tex]f-g[/tex] is defined by

[tex](f-g)(x)=f(x)-g(x)[/tex]

Therefore we compute

[tex](f-g)(x)=f(x)-g(x)=10x+7-x^2+7x=-x^2+17x+7[/tex]

Study the figure and find the effort.
Please help...

Answers

Answer:

300

Step-by-step explanation:

I hope it will help you.

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