Hans invests $550 at a rate of x% per year compound interest. At the end of 10 years, the value of the investment is $638.30, correct to the nearest cent.
Find the value of x.

Answers

Answer 1

Answer:

1.5%.

Step-by-step explanation:

x per cent is written as 0.01x as a decimal fraction.

638.30 = 550(1 + 0.01x)^10

(1 + 0.01x)^10 = 638.30/550

Taking logarithms:

10 ln (1 + 0.01x) = ln ( 638.30/550)

ln (1 + 0.01x) =  ln ( 638.30/550)/ 10

ln(1 + 0.01x) = 0.014889

Converting the logs:-

1 + 0.01x = e^0.014889 = 1.015

0.01x = 1 - 1.015

0.01x = 0.015

x = 0.015/ 0.01

= 1.5.


Related Questions

Find the volume of this triangular prism. NO LINKS

Answers

Answer:

306 [tex]ft^{2}[/tex]

Step-by-step explanation:

Formula for triangle: bh/2

2 (8*9/2) = 72

Formula for rectange: bh

8*9 = 72

2(9*9) = 162

Add: 72 + 72 + 162 = 306

(Please help!!) Solve: x2+6x+9

Answers

if you're trying to solve for x, and it is equal to zero, then it would be -3. plug it in and it would all cancel out

Find the area of the figure. The area is square inches.

please help!​

Answers

Answer:

154 inchs

Step-by-step explanation:

22 * 14 divided by 2

What is the surface area of the cone? Use 3.14 for pi. Suppose the diameter and the slant height
of a cone are cut in half. How does this affect the surface area of
the cone? 14 cm is the diameter and 21 cm is the slant height

Answers

Answer:

923.16

Step-by-step explanation: so what you is you multiply 14x21 the you take half the raidius and divide by 3.14 and thats how you get your answer.

MATH HELP

Ben received 1 mark for every correct answer on a
multiple-choice test.
He answered 75 questions correctly out of a total
of 135 questions.
On the test, 55% is a pass. Did Ben pass the test?
Give reasons for your answer.

Answers

Answer:

yes

Step-by-step explanation:

75 out of 135 is 55.6%

Parker invests money in an account paying a simple interest of
1.1% per year. If he invests $110 and no money will be added or
removed from the investment, how much will he have in one
year, in dollars and cents?

Answers

Answer:

111.21

Step-by-step explanation:

Took the test

what are three terms in this equation ? 4x-2y+3​

Answers

Answer;

They are 3 terms

The terms are the numbers and the variables separated by the minus sign and the plus sign

Please help!!!!!!!!!! !!

Answers

Answer:

[tex]The ~length~ is ~9.6~ units[/tex] ✔︎

༄❁༄❁༄❁༄❁༄

[tex]a=8\\b=2\\c=?\\d=?\\e=5[/tex]

[tex]Using~ Pythagorean ~theorem:[/tex]

[tex]c^2=a^2+b^2[/tex]

[tex]c^2=(8)^2+(2)^2[/tex]

[tex]\sqrt{c^2} =\sqrt{68}[/tex]

[tex]c=\sqrt{68} ~or~2\sqrt{17}[/tex]

»»---------------------►

[tex]d^2=c^2+e^2[/tex]

[tex]d^2=(2\sqrt{17})^2+(5)^2[/tex]

[tex]d^2=68+25[/tex]

[tex]\sqrt{d^2} =\sqrt{93}[/tex]

[tex]d=\sqrt{93} ~or~9.6[/tex]

[tex]So, your~ answer ~is ~9.6[/tex]

✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧

hope it helps...

have a great day!!

Answer:

Using Pythagorean theorem

C²=A²+B²

c=(8)²+(2)²

√c²=√68

c=2√17 or √68

d²=c²+e²

d²=(2√17)²+(5)²

d²=68+25

√d²=√93

d=√93 or 9.6

OAmalOHopeO

Classify the pair of angles.
34°
O complementary
O supplementary
o vertical
Find the value of x.
x=

Answers

Answer:

supplementary

x = 146 degrees

Step-by-step explanation:

Answer:

supplementary

Step-by-step explanation:

Complete the sentences to describe the function f(x) = 2x^2+16x/16x^3-x the function is discontinus at

Answers

Answer:

The answer is "[tex]\bold{\frac{2(x+8)}{(4x^2- 1)(4x^2+ 1)}}[/tex]".

Step-by-step explanation:

[tex]\to f(x) = \frac{2x^2+16x}{16x^3-x}[/tex]

            [tex]= \frac{2x(x+8)}{x(16x^2-1)}\\\\= \frac{2(x+8)}{(16x^2-1)}\\\\= \frac{2(x+8)}{((4x)^2-(1)^2)}\\\\= \frac{2(x+8)}{(4x^2- 1)(4x^2+ 1)}\\\\[/tex]

Answer: the function is discontinuous at x=0

To create the extended function add f(x)=0,x=0

Step-by-step explanation:

Solve the equation below.
d/1.2 = 6

Answers

D=7.2

Step-by-step explanation:

To be honest I cant give you an explanation bc i used a calculator. Sorry

I need help please I don’t really understand

Answers

Answer:

hi now i ain't too sure but its C

Step-by-step explanation:

since we r adding it will move to the right side 2 blocks then we go down 5 since its minus

V I don’t know if I can get a hold of

If function f is the parent exponential function , what is the equation of transformed function g in terms of function f?

Replace the value of a to complete the equation.

Answers

Answer:

This problem is acually really simple.

Step-by-step explanation:

all you have to do is replace the a with a 3. SO It would look like this:

g(x)=3f(x)

hope this helps :)

The equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

How to determine the equation of g(x)?

The function f(x) is given as:

f(x)= e^x

The function is stretched by a factor of 3 to get the function g(x)

This means that:

g(x) = 3 * f(x)

Evaluate the product

g(x) = 3f(x)

Hence, the equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

Read more about function transformation at:

https://brainly.com/question/1548871

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ILL GIVE BRAINLIEST PLEASE HELP

Answers

Answer:

69.

Step-by-step explanation:

literally just put 69, or dude use photo math ! u can download it on the app store . it's so helpful better than this app

Mrs. Clements has a table with a top that is shaped like the trapezoid shown. Which expression can Mrs. Clements use to find the area of the table top, in square feet? A (5x3x4) + (4x2) C (4 3 5) 1 1··2(2 3 4) B (9 3 4) 1 (4 3 5) D (4 3 9) 1 1··2(5 3 4) 5 feet 4 feet 2 feet 9 feet

Answers

Answer:

60

Step-by-step explanation:

The expression Mrs. Clements use to find the area of the tabletop, in square feet is  0.5 * (5 + 9) * 4

How to determine the area of the tabletop?

The dimension of the tabletop is:

Parallel sides = 5 feet and 9 feet

Height = 4 feet

The area is then calculated using:

Area = 0.5 * (Sum of parallel sides) * Height

This gives

Area = 0.5 * (5 + 9) * 4

Hence, the expression Mrs. Clements use to find the area of the tabletop, in square feet is  0.5 * (5 + 9) * 4

Read more about areas at:

https://brainly.com/question/24487155

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Cloe Dow purchased a hot tub for $5,000. She made a 50 percent down
payment and financed the remainder. What amount did she finance?

Answers

Answer:

She financed $2500

Step-by-step explanation:

If you multiply $5000 by 50% you will be $2500. This would be the amount she financed. Hope this helps

Determine the value of x.
Question 9 options:

A)

2

B)

2

C)



D)

4

Answers

Answer:

2√2 = x

Step-by-step explanation:

x

---- = sin 45 degrees, or

4

 x        1

----- = -----

 4       √2

this results in x = 4 / √2  =  4√2/2  =  2√2 = x

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have

4² = x² + x²

2x² = 16

x² = 8

x = 2√2

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

More about the right-angle triangle link is given below.

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Find the area. Simplify your answer

Answers

Answer:

Solution given:

length[l]=3x+7

breadth [b]=2x+3

we have

area of rectangle=l×b=(3x+7)(2x+3)

=6x²+14x+9x+21=6x²+23x+21 units ²

Mr. Meyer is planning a sixth-grade field trip to Washington DC. He divides his students evenly between 9 chaperones will lead a group of 8 students. If S represents the total number of students going on the field trip with equation models the problem?

A. 8s = 9
Or
B. s/9 =8

Answers

I think there is 72 students because there is 9 chaperones with groups of 8 so that is 9x8 which is 72

Hope this helps answer some questions that you may have had.

.24 repeating as a fraction but the 4 is the only thing repeating

Answers

Answer:

22/90.

Step-by-step explanation:

0.24444... * 100 =    24.4444...

0.244444.. * 10   =     2.44444....

Subtract:

0.244444..  * 90    =  22

So the required fraction is 22/90.

Using the formula m= f(x2) - f(x1)/x2 - x1, what is the rate of change for the linear function that contains the
points (-3, 2) and (1,10)?

1/2

8

-4

2

Answers

I Picked B random and got it right

List the first 5 multiples of 6.*​

Answers

Answer:

6 , 12 , 18 , 24 , 30 , 36 , 42 , 48 , 54 , 60 just in case u need more :)

Step-by-step explanation:

please mark me brainliest

Answer:

0, 6, 12, 18, 24, 30, 36,

Step-by-step explanation:

hope this helps if not sorry

Write an algebraic equation to represent the
situation. Be sure to define the variable you are
using. For example: b = the # of books.
Write your equation and define the variables here.

Answers

Answer:

Where is the situation?

Step-by-step explanation:

Is this all? Or did you forget to add the picture? Comment down below I'll answer im good with algebraic expressions.

Please answer this question

Answers

Someone else is answering it but if they get it wrong then, and I’ll help you
I pretty sure it’s the second one but I’m not completely sure but I tried my best

There are 26 gold fish in the tank at the store. How many ways can Ben choose five?

Answers

Answer:

65,780 im pretty sure

Step-by-step explanation:

a printer can print 27 pages in 4.5 minutes. how much time does it take to print 324 pages

Answers

Answer:

54

Step-by-step explanation:

27pages=4.5minutes

[tex]1 = \frac{4.5}{27} [/tex]

[tex]324 = \frac{4.5}{27} \times 324[/tex]

[tex]324 = 4.5 \times 12[/tex]

324pages=54minutes

Hence, the printer can print 324pages in 54 minutes

PLEASE ANSWER!!!!!!!!!

Answers

Answer:

first option

Step-by-step explanation:

if she is getting 10 years of simple interest and the simple interest earned is $60 and she deposited 1,000

60 * 10 is 600 so the answer would be 1,600

im giving brainlist away.......

Answers

Answer:

The time in minutes needed to drain the bathtub completely

Step-by-step explanation:

The decreasing graph shows the water being drained over a period of time.

The red line shows the starting amount of water in inches and the final point where there is no more water left in the tub.

Calcula el Volumen óptimo de pedido, el punto de pedido y el Stock de
seguridad de un producto cuya demanda anual es de 85.000 unidades.
Se estima que el coste de emisión de los pedidos es de 4 € y el coste de almacenamiento
unitario es de 0,50 €.
El plazo normal de envío de los proveedores es de 3 días y el plazo máximo de envío de 5.
Utiliza el año comercial.

Answers

Answer:

I don't speak spanish

Step-by-step explanation:

What is the answer??

Answers

Answer: .41+.34=.75

Step-by-step explanation:

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