London is going to invest $8.8oo and leave it in an account for 10 years.
Assuming the interest is compounded continuously, what interest rate, to the
nearest hundredth of a percent, would be required in order for London to
end up with $13.400?

Answers

Answer 1

Answer:

k = 0.04205029854

k = 4.205029854%

Step-by-step explanation:

13400 = 8800(e)^10(k)

ln 1.52 = 10k ln e

(ln 1.52)/ 10 = k

Answer 2

Answer:

The interest rate would be 4.21%


Related Questions

John, Jack, Jim, and Joe all decided to take up horseback riding. Jim went twice as many times as Jack, and John went four more times than Joe but three less times than Jim. Joe went 15 times altogether. How many times did Jack go?

Answers

Answer:

11 times

Step-by-step explanation:

Given

[tex]Jim = 2 * Jack[/tex]

[tex]John = 4 + Joe[/tex]

[tex]John = Jim - 3[/tex]

[tex]Joe = 15[/tex]

Required

Find [tex]Jack[/tex]

Substitute [tex]Joe = 15[/tex] in [tex]John = 4 + Joe[/tex]

[tex]John = 4 + 15[/tex]

[tex]John = 19[/tex]

Substitute [tex]John = 19[/tex] in [tex]John = Jim - 3[/tex]

[tex]19 = Jim - 3[/tex]

Collect like terms

[tex]Jim = 19 +3[/tex]

[tex]Jim = 22[/tex]

Substitute [tex]Jim = 22[/tex] in [tex]Jim = 2 * Jack[/tex]

[tex]22 = 2 * Jack[/tex]

Divide both sides by 2

[tex]Jack = \frac{22}{2}[/tex]

[tex]Jack = 11[/tex]

Let f(x) = x + 9 + 2, find f(0), f(7), and f(-5).

Answers

Answer:

f(0) = 0 + 9 + 2

f(0) = 11

f(7) = 7 + 9 + 2

f(7) = 18

f(-5) = -5 + 9 + 2

f(-5) = 4 + 2

f(-5) = 6

thank you

Answer:

Step-by-step explanation:

f(x)=x+9+2

substitute o in place of x

f(0)=0+9+2

=11

f(x)=x+9+2

substitute 7 in place of x

f(x)=7+9+2

=18

f(x)=x+9+2

substitute -5 in place of x

(-5)=-5+9+2

=-5+11

=6

Hope this helps u!!

. Please HELP me WITH this EQUATION ; A triangle has two base angles of 35º and another angle of 110º. Select any words which accurately describe the triangle. AObtuse-angled BScalene CEquilateral DRight-angled EIsosceles FAcute-angled

Answers

Answer:

Isosceles

Step-by-step explanation:

Which statement is true about Angle C P B?

Answers

I’m not really sure sorry

Answer:

Step-by-step explanation: the second answer im not vary sure but ist kinda resonable

Which shows the expressions in the order they would appear on a number line from least to greatest? 043 140 13 14 9 OM 17. 173. 140.43 04°. 57. 1139 OVAO 113. 17.40

Answers

Answer:

[tex]\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3[/tex]

Step-by-step explanation:

Given

[tex]4^3, \sqrt{40}, \sqrt{13}, \frac{14}{9}, \sqrt 7[/tex]

Required

Order from least to greatest

First, we solve for each expression

[tex]4^3 = 64[/tex]

[tex]\sqrt{40} = 6.32[/tex]

[tex]\sqrt{13} = 3.61[/tex]

[tex]\frac{14}{9} = 1.56[/tex]

[tex]\sqrt{7} = 2.66[/tex]

From least to greatest, we have:

[tex]1.56, 2.66. 3.61, 6.32, 64[/tex]

Hence, the list is:

[tex]\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3[/tex]

[tex]\text{Solve for x:}\\4x + 54 = 55\\\\\text{Thank you.}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x = \frac{1}{4}[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the equation for x...}}\\\\4x + 54 = 55\\----------\\\rightarrow 4x + 54 - 54 = 55 - 54\\\\\rightarrow 4x = 1\\\\\rightarrow \frac{4x=1}{4}\\\\\rightarrow \boxed{x=\frac{1}{4}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

[tex]\sf{4x+54=55 }[/tex]

[tex]\sf{ 4x=55-54 }[/tex]

[tex]\sf{4x=1 }[/tex]

[tex]\sf{x=\dfrac{1}{4} }[/tex] [tex]\sf{ }[/tex]

Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.

As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.

What is the actual width of the painting?
What is the actual height of the painting?
On the scale drawing, the top edge of the "H" is inches from the top edge of the drawing. What is the actual height of the "H"?
What is the actual width of the "H" (through the center)?
What is the actual distance from the left edge of the painting to the left edge of the "H"?
actual width of the painting: inches
actual height of the painting: inches
actual height of the "H"?: inches
actual width of the "H" (through the center): inches
actual distance from the left edge of the painting to the left edge of the "H": inches

Answers

text mentions a scale model... wich we can't see here unless you post it

Which statement describes the solutions of this equation?
A. The equation has no valid solutions and two extraneous solutions
B. The equation has one valid solution and no extraneous solutions
C. The equation has one valid solution and one extraneous solution
D. The equation has two valid solutions and no extraneous solutions

Answers

Answer:

D

Step-by-step explanation:


Which of the following are one-dimensional figures?
Check all that apply.

Answers

Answer:

2&3

Step-by-step explanation:

put the following equation of a line into slope intercept form simplifying all fractions 10x-2y=6

Answers

Answer:

Slope-Intercept form:   y = m x + b

y = value of y corresponding to value of x

2 y = 10 x - 6

y = 5 x - 3         equation of line where m is the slope and -3 value of y when x                      

                         equals  zero

4x²+4x-14=0

Solve without
Calculator. it came on a non calc exam. brainliest answer.​

Answers

I think this is the correct answer

Determine whether each side with given lengths is a right triangle.
A. a=5, b=10 and c=15
B. a=11, b=60 and c=61

Answers

Answer:

61

Step-by-step explanation:

lenths is a right anglre

help plzzzzzzzzzzzzzzzzz asap i don't have time i will give brainlist

Answers

Step-by-step explanation:

i. Looking at the table, he got 3 odd numbers out of 9 scored so the probability is 33% or 3/9 or 1/3

ii. He got 4 square numbers so the probability is 4/9( remeber 0 is a square number).

iii. Only two number are multiples of 5 so the probability is 2/9.

iv. No number is greater than 15 so the answer is 0%

v. 5 numbers are less than zero so the answer is 5/9

Can You all please sub.scribe my yt chan.nel and give me support
My chan.nel is Mr Facts
Type Mr Facts fastest animals
and click on this video

Answers

No problem bro I will subscribe :) no need to thank me

If the product of two numbers and is 180 and their HCF is 3, then find the LCM of and .

Answers

Answer:

60

Step-by-step explanation:

Product of the two numbers = HCF* LCM

[tex] \therefore \: 180 = 3 \times lcm \\ \\ \therefore \: lcm = \frac{180}{3} \\ \\ \therefore \: lcm = 60[/tex]

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 centimeters cubed.

A sphere with height h and radius r. A cylinder with height h and radius r.

What is the volume of the sphere?
12 centimeters cubed
24 centimeters cubed
36 centimeters cubed
54 centimeters cubed

Answers

Answer:

12 cm^3

Step-by-step explanation:

Before we do anything, we should set up the proportion.

[tex]\frac{\pi * r^2*h}{\frac{4\pi r^3}{3}} = \frac{18}{x}[/tex]

Now do the Cancelations of \pi r^2 on the left.

h// (4/3) r  = 18/x

but h = 2*r

2r // (4/3) * r   = 18/x   Cancel the rs on the left

2// (4/3) = 18/x            Make 2 = 2/1 so you can handle the fraction

2/1 // (4/3) = 18/x         Invert and multiply the denominator

2/1 * 3/4 = 18/x

6/4 = 18x                     You can reduce the left side

3/2 = 18x                     Cross multiply

3x = 2*18                     Combine the right

3x = 36                        Divide by 3

x = 12

So what you have found is the volume of the sphere. 12 cm^3

This is a very interesting question. Keep in mind that physics does this all the time for any of the force formulas (but not all).

I'm a little long winded here, but the first time you see this, you should be given very small steps.

when Maria was born, her mother was 24 years old. At present, Maria's age is 20% of her mother's age. How old is Maria now?​

Answers

Answer:

the mother is older than maria by 24 years.

if Maria's age = x

mother's age = x+24

x=0.2(x+24)

x=0.2x+4.8

x-0.2x= 4.8

0.8x=4.8

x=4.8/0.8

x=6

Maria's age is 6 years

The sun of interior angles of a regular polygon is 1260°.Calculate the number of sides of the polygon and the size of each exterior angle.

Answers

Answer:

a)The number of sides of the polygon = 9 sides

b) The size of each exterior angle = 40°

Step-by-step explanation:

The sun of interior angles of a regular polygon is 1260°.Calculate the number of sides of the polygon and the size of each exterior angle.

a) The number of sides of the polygon

We solve using the formula

S = ( n - 2 ) × 180 °

Where S = Sum of the Interior angles = 1260°

1260° = (n - 2) × 180°

Divide both sides by 180°

1260°/180° = n - 2

7 = n - 2

n = 7 + 2

n = 9 sides

b) The size of each exterior angle

The sum of each exterior angle of a polygon = 360°

Hence, size of each exterior angle = 360°/number of sides of the polygon

= 360°/9

= 40°

If t and m are positive, t^2 + m^2 = 64 and (t+m)^2 = 98, what is tm?

(A) 162
(B) 130
(C) 81
(D) 34
(E) 17

Answers

Answer:

17

Step-by-step explanation:

t^2 + m^2 = 64

(t+m)^2 = 98

(t+m)^2 = t^2 +2tm+ m^2

==>

t^2 +2tm+ m^2 = 98

t^2+m^2+2tm=98

64+ 2tm=98

2tm = 98 -64

2tm=34

tm= 34/2

tm = 17

The number of bicycles in the repair shop is 5 times the amount of tricycles in the shop. There is a total of 39 wheels. How many bicycles are in the shop?

Answers

Answer:

15 bicycles

Step-by-step explanation:

ratio of bicycles to tricycles is 5:1 because it is 5 times greater and tricycle has 3 wheels and bicycles have 2 so i take 5 from the ratio and make a equation 5(2)+3(1)=13

i then divide 39 by 3 and get 3 i then take 3 and multiply it with it for the whole equation and find that 15 is the number of bicycles.

What does b stand for in this equation?

3b=12

A 1

B 2

C 3

D 4

Answers

Answer:

4

Step-by-step explanation:

3b=12

Divide each side by 3

3b/3 =12/3

b =4

Answer:

D. 4

Step-by-step explanation:

Given,

3b = 12

=> b = 12 ÷ 3

=> b = 4 (Ans)

Solve for M and show work

Answers

I’m guessing 44 degrees.
Using arccosine, you can find the angle by dividing the adjacent side by the hypotenuse

Evaluate the expression. 202 + 6(9 + 3) =

Answers

Answer:

274

Step-by-step explanation:

202 + 6(9 + 3) =

PEMDAS says parentheses first

202 + 6(12) =

Then multiply

202 +72

Then add

274

Answer:

274

Step-by-step explanation:

202 + 6(9 + 3)

202 + 6(12)

202 + 72

274

100 POINT PLEASE HELP QUICK!!!!

Answers

Answer:

[tex]adjacent = \sqrt{ {50}^{2} - {14}^{2} } = 48 \\ \\ \sin(Q) = \frac{14}{50} = \frac{7}{25} \\ \cos(Q) = \frac{48}{50} = \frac{24}{25} \\ \tan(Q) = \frac{14}{48} = \frac{7}{24} [/tex]

[tex] \sin(R) = \frac{48}{50} = \frac{24}{25} \\ \cos(R) = \frac{14}{50} = \frac{7}{25} \\ \tan(R) = \frac{48}{14} = \frac{24}{7} [/tex]

Base

√50²-14²√2500-196√48²48

Now

sinQ=P/H=14/50cosQ=B/H=48/50tanQ=P/B=14/48cotQ=B/P=48/14secQ=H/B=50/48cosecQ=H/P=50/14

Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

Te diagonal of a kite will form a parallelogram.

explanation:

Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.

hope it helps

Mark me as brainlist

pls heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

1.1

Hope this helps:)

7. Which has the strongest correlation?
(1) r=0.7
(2) r = 0.1
(3) r=-0.75
(4) r=-0.99

Answers

Answer:

76yhgdttyhgfd

Step-by-step explanation:

nhjgklh/f

Mr sharma can do 1/15part of piece of work in 1 day he worked for 3 days and left if Vishnu finished the remaining work how much work is done by bishnu?

Answers

Answer:

12/15

Step-by-step explanation:

if in one day mr sharma did 1/5 part of piece of work and he worked three days he did 3/15, if vishnu finished the remaining work then he did 12/15 parts, they did 15/15

Solve the system of equations.
y = 2x
y = x2-8
O A. (2, 4) and (-4,-8)
O B. (-2,-4) and (-4,-8)
O C. (2, 4) and (4,8)
O D. (-2,-4) and (4,8)​

Answers

Answer:

D

Step-by-step explanation:     Time Stamp (6  9  10  32)

Easiest way is to graph both equation and look for the intersections  see attached sreen shot

or  solve by substitution

y = 2x

y = x²- 8

2x = x²- 8                  solve for x

0  = x² - 2x - 8          factor

0 = (x - 4)(x + 2)

0 = 0   when x = 4 and -2      

calculate the y values

y = 2x      x = 4

y = 8                              (4, 8)

y = 2x      x = -2

y = -4                            (-2, -4)

     

The total perimeter of a square shaped
garden is of a meter. Find the dimensions of the
garden.

Please helppp I need it fasttttttt

Answers

Answer:

this makes no sence

Step-by-step explanation:

you did no include any of the details needed

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