A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450. What is the interest rate percentage? Round the answer to the nearest hundredth.

Answers

Answer 1

         Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.

Rule for the continuous compounding: Expression for the final amount comounded continuously is given by,

         Final amount = [tex]Pe^{rt}[/tex]

         Here, P = Principal amount

                    r = Rate of interest

                    t = Duration of investment

Given in the question,

P = $181.25

t = 7 years

Final amount = $1450

Substitute these values in the expression,

[tex]1450=181.25e^{7r}[/tex]

[tex]e^{7r}=8[/tex]

[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]

[tex]7r=2.07944[/tex]

[tex]r=0.2971[/tex]

[tex]r=29.71\%[/tex]

       Therefore, rate of intereset for the investment is 29.71%.

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Related Questions

2x + 45




(Will be marked brainlist)

Answers

Answer:

x = 45°

Step-by-step explanation:

We know that (2x + 45)° and x° are adjacent angles, so they add up to 180°.

(2x + 45) + x = 180

3x + 45 = 180

3x = 180 - 45

3x = 135

x = [tex]\frac{135}{3}[/tex]

x = 45°

The seating space around the basketball court is shown below:

What is the perimeter of the total area?
m
What is the area of the seating space?
m2

Answers

where are the coeffients?

The Countrywide building has a square base. It has 45 floors of offices, all of which have about the same number of windows.
If there are 8 windows on 1 side of the 23rd floor, what is a reasonable estimate for the number of windows in the entire building?

A. 8 windows
B. 45 windows
C. 360 windows
D. 1,440 windows

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Answer:

Step-by-step explanation:

think it would be b

What rational number is equivalent to .36 repeating

Answers

Answer:

4/11

Step-by-step explanation:

i think,,,,try it and maybe its right

Did Will and Hector volunteer the same number of hours in April? Explain.

Answers

Answer:

no

Step-by-step explanation:

How many planes are shown in the figure?

Answers

Answer:

5

Step-by-step explanation:

5

Answer:

5

Step-by-step explanation:

Does it lie inside, outside, or on the circle?​

Answers

Answer:

Given circle:

(x - 4)² + y² = 25

The center is at (4, 0) and the radius is 5 units

Lets find the distance from (7, 2) to the center of the circle:

[tex]d = \sqrt{(7 - 4)^2 + (2 - 0)^2} = \sqrt{9+4} = \sqrt{13} < 5[/tex]

Since d < 5, the point (7, 2) lies inside the circle

What does 19+6y-8 equal?

Answers

Answer:

Final Answer

11+6y

Step-by-step explanation:

You cannot affect the 6y because it’s an unknown value, so what you do is just simplify it as much as you can, you put 19 and take away 8, and it gives you 11, making your answer:
11+6y.

heeelp help help help help help help

Answers

Answer:  D 28.26

Step-by-step explanation:

A=pi r^2    or pi times r squared.  R= half of the diameter so the radius of the circle is 3 cm.   If the radius is 3 cm 3^2= 9 and 9*3.14=28.26

A number x divided by two is twelve.

Answers

24 divide by two is 12
so x is 24
The answer is "6 x 2" that equals 12

Will mark brainliest for any help!

Answers

Answer:

2) 523.3 in²

Steps:

the given polygon is a heptagon

a regular heptagon's area = 7/4 × s² × cot(180°/7)

for the given heptagon

A = 7/4 × 12² × cot(180/7) ≈ 523.28 in² = 523.3 in² (rounded)

For the equation y - 3 = -2(x + 1) the line has a slope of -2 and
contains what point

Answers

It contains multiple points. If you’re looking specifically for a point plug the number that is on the x axis into the equation then solve for y.

Answer:

(0, -2) --> Y-Intercept

Step-by-step explanation:

y - 3 = -2( x + 1 )

y - 3 = -2x - 2

y= -2x -2

Y-Intercept = (0,y)

= (0, -2)


Help please pleasebfiwhier

Answers

Slope 2/1, y intercept is 6, equation is f(x)=6-2x

James used the numbers shown to write a 5 digit number on the board where the value of the 3 is 1/10 the value of the digit 3 in the number 234.89. What could be the number that James wrote on the board?

Move each number into a box
2 3 4 8 9​

Answers

Answer:

23333333333333

Step-by-step explanation:

first this then that then this then that

please do explain how u got it

Answers

Answer:

$3

Step-by-step explanation:

cost of tank tops

20 / 5 = $4 each

cost of t-shirts

35 / 5 = $7 each

7 - 4 = $3

Answer:

$3

Step-by-step explanation:

1.Approach

To solve this problem, one must first find the cost of each product. This can be done by diving the price by the amount of each product. After finding the unit price of each product, one will subtract the cost of the tank-top from the cost of the t-shirt.

2.The unit price of a t-shirt

It is the given that 5 t-shirts cost $35. Divide the price of the shirts by the number of shirts to find the cost of each individual shirt.

35 ÷ 5 = 7

Each individual t-shirt costs $7.

3.The unit price of a tank-top

It is given that 5 tank-tops cost $20. Divide the price of the tank-tops by the number of tank-tops to fund the unit price of each tank-top.

20 ÷ 5 = 4

Each tank-top costs $4.

4.Find out how much more each shirt costs

Now subtract the price of the unit price of the tank-top from the unit price of the t-shirt.

(t-shirt) - (tank-top)

= 7 - 4

= 3

Divide. round your answer to the nearest hundredth 89.881.57÷5

Answers

Answer:

1797631.4

Step-by-step explanation:

yeh

17,976.314 that’s the answer to the equation

6th grade work please tell me the answer fast and don’t give me and incorrect one

Answers

Answer: 222cm

Step-by-step explanation:

To find the area of this composite shape you will have to split them into 2 shapes; a rectangle and a triangle.

To work out the area of the rectangle you have to do 15×12= 180

Then, to work out the area of the triangle, you use the formula base times height divided by 2.

7×12=84

84÷2=42

Then to work out the total area of both the rectangle and the triangle, you have to add the area of both.

180+42=222cm

Hope this helps :)

9. On a math test with 52 questions, Kim solved 3/4 of the questions correctly. How many questions did Kim solve
incorrectly?

Pls hurry

Answers

Answer: Kim got 13 questions wrong.

Step-by-step explanation: First find how many questions were 75% of 52 questions since 3/4 is equal to 75%. Then subtract that amount (which is 39) from 52 and you get 13.

Pythagorean theorem and Converse; find the value of x.

Answers

Answer:

x = 12.206555

Step-by-step explanation:

10^2 + 7^2 = 149

Sqrt(149) = 12.206555 = x

x ≈ 12.2, 12

Therefore, the value of the hypotenuse [tex]x[/tex] is [tex]12[/tex].

What is the pythagorean theorem?

The Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

Here given that,

[tex]B=7,P=10[/tex]

As we know,

[tex]H^2=B^2+P^2[/tex]

Substitute the given values in the formula is

[tex]x^2=(7)^2+(10)^2\\\\x^2=49+100\\\\x^2=149\\\\x=\sqrt{149}\\\\x=12[/tex]

Hence, the value of the [tex]x[/tex] is [tex]12[/tex].

To know more about the Pythagorean theorem

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my points is going lower and lower and lower and lower until its zero

But i dont care.




Just answer my question in the picture above. ​

Answers

Answer:

c, a, b

...................

Is this equation true?
0.025 + 0.17 = 0.42

Answers

Answer:

No. the correct answer is 0.195.

Step-by-step explanation:

Answer:

No the answer is 0.195

Step-by-step explanation:

Given the system:
4x + 3y = -1
5x + 4y = 1
What is the solution to this system?
A. (-7,9)
B. (9,-7)
C. (-1,1)
D. (1,-1)

Answers

Answer:

A is the answer

Step-by-step explanation:

hope that helped

Which of the following best describes the difference between simple and compound interest?

Simple interest is easier to calculate than compound interest.

Simple interest earns interest on the previous interest earned only.

Compound interest earns interest on the principal plus any previous interest earned.

Compound interest earns interest on the principal only.

Answers

Answer:

Compound interest earns interest on the principal plus any previous interest earned.

Step-by-step explanation:

compound interest gets its name because the interest keeps on 'compounding' which means earning interest on interest

The correct best describes the difference between simple and compound interest is,

⇒ Compound interest earns interest on the principal plus any previous interest earned.

Option 3 is true.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

We have to given that;

To defined best describes the difference between simple and compound interest.

Now, We know that;

Compound interest pays interest on your previous balance plus your previous earned interest; simple interest pays interest only on your original balance.

Hence, The correct best describes the difference between simple and compound interest is,

⇒ Compound interest earns interest on the principal plus any previous interest earned.

Learn more about the Interest visit:

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Jada has read 3/5 of a book.she has read 75 pages so far how many pages are in the whole book?

Answers

Answer:

125

Step-by-step explanation:

(75/3)*5=125

Answer:

D: 125

Step-by-step explanation:

Jada read 3/5 of the book (75 pages) so 1/5 is 25. Multiply that by 5 (25 x5) to get 125!

Hope this helps

§~…TheAnimeCatUwU…~§

Find the value of the trig ratio?

Answers

Answer:

3/5

Step-by-step explanation:

To find the value of sinX we divide opposite side with hypotenuse

15/25 = 3/5

the perimeter of the gym floor is eighty-eight and six-hundredths meters long. What is this in standard form

Answers

Answer:

hope this helps

Step-by-step explanation:

If the circumfrence of a circle is 117cm find length​

Answers

Answer:

find the length??

Step-by-step explanation:

you do understand that length means finding how long something is right?

Abcdefghijklmnopqrstuvwxy&z


Find the exact trigonometric value:
sin 255

Answers

Answer:

−0.965925826289068

Step-by-step explanation:

sin 255 = −0.965925826289068

What the person said above is correct

Find the value of x

Please help i don’t know the answer

Answers

Answer:

44 + 45 = 99° divided by 2 = 49.5 (you can round to 49)

Pls help I’ll brainlest ASAP

Answers

Answer:

Letter A. 50,000 + 100 > 75,000

pls give me a brainly's and I hope this answer can help you

Answer:

A. 50,000+100× = 75,000

Step-by-step explanation:

there you go that is the correct answer

 If Ed earns $100 from each extra deal, then $25,000 divided by $100 equals 250. Ed sold 250 computers last year. The correct equation is (A) 50,000 + 100X = 75,000. Base Salary + (Commission Fee x Computers Sold) = Total Income, where the unknown "X" is the number of computers sold by Ed.

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