An initial deposit of $10000 is left in account for 5.5 years at 3.6% interest compounded continuously. What is the
final value of the account to the nearest dollar after the 5.5 years?

Answers

Answer 1

Answer:

11980

Step-by-step explanation:

This is simple interest.

We use the formula i=prt. Interest = price x rate x time

You just plug in your numbers, 10000 is your price, 5.5 years is the time, and 3.6% interest is rate.

Now our equation looks like this: i = 10000 x 5.5 x 0.036

(i converted the percent to a decimal)

So the interest is 1980, but the question asks for the final value, so we add the interest to the initial deposit, 1980 + 10000, and we get 11980 for our final value.

I apologize if my answer is wrong, but if it isn't I hope I helped :)

Answer 2

9514 1404 393

Answer:

  $12,190

Step-by-step explanation:

The formula for the balance in an account where continuous compounding occurs is ...

  A = Pe^(rt) . . . . where P is the principal invested at annual rate r for t years

  A = $10,000e^(0.036·5.5) = $10,000e^0.198

  A ≈ $12189.62 ≈ $12,190 . . . . rounded to the nearest dollar


Related Questions

Which regular polygon has a rotation of 240 degree to carry the polygon onto itself?

Equilateral triangle

Octagon

Rectangle

Pentagon

Answers

The regular polygon that has a rotation of 240 degrees to carry the polygon onto itself is an B. Octagon.

What is an Octagon?

This refers to an eight-sided polygon that has eight angles and is used in geometry.

Hence, we can see that an octagon, can be rotated to 240 degrees and when this is done, it is able to carry itself which cannot be done by others as other polygons would need 360 degrees to carry themselves.

Read more about polygons here:

https://brainly.com/question/1592456

#SPJ2

Write x2 − 2x − 3 = 0 in the form (x − a)2 = b, where a and b are integers. (1 point) (x − 4)2 = 3 (x − 3)2 = 2 (x − 2)2 = 1 (x − 1)2 = 4

Answers

Answer:

Answer is (x - 1)² = 4

Step-by-step explanation:

[tex]{ \tt{ {x}^{2} - 2x - 3 = 0}} \\ [/tex]

By completing squares:

[tex]{ \tt{ {x}^{2} - 2x + { (\frac{2}{2} )}^{2} - 3 - {( \frac{2}{2}) }^{2} = 0 }} \\ { \tt{( {x}^{2} - 2x + 1) = 4}} \\ { \tt{(x - 1) {}^{2} = 4 }}[/tex]

[tex]{ \underline{ \sf{ \blue{christ \:† \: alone }}}}[/tex]

What is 9 1/8 + 4 5/6

(Show work)

Answers

Answer:

13 23/24

Step-by-step explanation:

9 1/8 + 4 5/6

Step 1. Find the LCD (Least Common Denominator) for both mixed fractions

8: 8, 16, 24,…

6: 6, 12, 18, 24,…

Answer: 24

Step 2. Use the LCD (Least Common Denominator) to convert each of the fractions into new fractions

Answer:

9 1/8 = 9 3/24

4 5/6 = 4 20/24

Whichever number you multiplied to get the common denominator of 24 has to be multiplied to the numerator. Whole number stays the same

Step 3. Add

9 3/24 + 4 20/24 = 13 23/24
••••••••••••••••••••••••••••••••••••••••••
I am willing to achieve Genius Rank
so if you can mark me as brainliest
(when you get a chance) that will be
great.

In an article of 12200 you get Rs 3050 cash discount. Then find the discount percent

Answers

Answer:

25%discount

Step-by-step explanation:

List price=12200,

Discount=3050

[DISCOUNT%=(DISCOUNT/LIST PRICE)×100]

D%=(3050/12200)×100

D%=25%

please help me solve this question​

Answers

Y = 196 hope it helps!

Write the equation of the line shown in the graph above in slope intercept form

A) y=2/3x+1
B) y=-x+2/3
C) y=-2/3x+1
D) 2x+3y=3

Answers

Answer:

C, y=-2/3x+1

Step-by-step explanation:

using points (0, 1) and (3, -1) obtained from the graph:

slope = -1-1/3-0 = -2/3

use one of the points above lets take (1, 0) and another point (x,y)

slope = y-0/x-1 = -2/3

y=-2/3x+1

express (m+n)3 in expanded form​

Answers

Answer:

3m+3n

Step-by-step explanation:

(m+n)3

Multiply the term inside the bracket by 3

3m+3n

Hope my answer helped u :)

Please hurry!! Which statement is true regarding the functions

Answers

If I remember correctly, it’s D

The length of a rectangle is 5 yd longer than its width.
If the perimeter of the rectangle is 62 yd, find its length and width.

Answers

Answer:

w = 13yd, l = 18yd

Step-by-step explanation:

let x be width, so x+5 = length

Perimeter is sum of all 4 sides, and since opposite sides equal in rectangle,

P = 2(l+w)

  = 2(x+5 +x)

  = 4x + 10

Since perimeter is give as 62yd, equation is

4x + 10 = 62

4x = 52

x = 13

4x+2y=5 , 2x-3y=13 pair of equations to two decimal places of accuracy. ​

Answers

Answer:

x = 2.56, y = -2.63

Step-by-step explanation:

I first multiplied the second equation by two, getting

4x-6y = 26

I then subtracted the equations

 4x+2y = 5

- 4x-6y = 26

--------------------

      8y = -21

y = -2.63

with y solved, I plugged it into the second equation to get x:

2x-3(-2.63) = 13

2x+ 7.89 = 13

2x = 5.11

x = 2.56

I hope this helped! ;D

e lifetimes of lightbulbs of a particular type are normally distributed with a mean of290 hours and astandard deviation of6 hours. What percentage of the bulbs have lifetimes that lie within 1 standarddeviation to either side of the mean

Answers

Answer:

Step-by-step explanation:

[tex]p(\overline{X}-\sigma \leq X \leq \overline{X}+\sigma)\\\\=p(\dfrac{\overline{X}-\sigma -\overline{X} }{\sigma} \leq Z \leq \dfrac{\overline{X}+\sigma -\overline{X} }{\sigma} )\\\\=p ( -1 \leq Z \leq 1)\\\\=2*(\ p (Z \leq 1)-0.5)\\\\=2*(0.8413-0.5)\\\\=0.6826\\\\\approx{68\%}[/tex]

How do I answer this

Answers

Answer:

11. Yes

12. No

Step-by-step explanation:

11. The x values only have 1 y value, so it makes it a function.

12. The x value 0 has 2 y values -4 and 4, therefore it is not a function, because in functions that x value can only have one y value,

I need help ASAP please please please

Answers

Answer:

n=39/5

Step-by-step explanation:

24=5(n-3)

24=5n-15

-5n= -15-24

-5n=39

n= 39/5

please find the answer

Answers

Answer:

I hope this is correct but 8.5 or 8 1/2 Units

Answer:

i think it is 8 1/2.

Step-by-step explanation:

my reasoning is that because v=lwh. the length is 4 and hw is 2 1/8. so i multiplied those together.

Can someone help
Me please?

Answers

9514 1404 393

Answer:

minimum: 2 at x=0maximum: 10 at x=10

Step-by-step explanation:

When looking for extremes, one must consider both the turning points and the ends of the interval. Here, there is a relative minimum at x=7, and a relative maximum at x=3. However, the values at the ends of the interval are more extreme than these.

The absolute minimum on the interval is 2 at x=0.

The absolute maximum on the interval is 10 at x=10.

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

9514 1404 393

Answer:

   10·2^-8 grams

Step-by-step explanation:

The each day, the initial amount for that day is multiplied by 1/2. After 8 days, the initial amount has been multiplied by (1/2)^8, where the exponent of 8 signifies that (1/2) is a factor 8 times in the product.

After n days, the quantity remaining is ...

  q(n) = 10·(1/2)^n = 10·2^(-n)

after 8 days the remaining amount is ...

  q(8) = 10·2^-8 . . . grams


Which best describes the relationship between the lines with equations x + 8y = -1 and —8x +y = -1?

Answers

Answer:

the lines are perpdicular if you were to get some graph paper and graph u would see

Hellp PLZZzzzzzzzxxxmxxxxxxxxxx

Answers

Answer:

12. We use Rational numbers when the number is in P/q form

we don't use integers because they are not in p/q form

13.  Aron is wrong . he is not correct

an opposite of rational number can out be  negative it should be irrational number

opposite of integers are negative  that's why

*so opposite of rational numbers will ne irrational numbers not negative

14. Greatest to least

   -3.02 , -4 , -4.09 , -4.32, -4,35 , -5.11


Robert owns two dogs. Each day, one dog eats
1/6 of a scoop of dog food and the other dog eats br
1/6 of a scoop. Together, how much dog food do
the two dogs eat each day? Write in simplest
form.

Answers

Answer:

1/3

Step-by-step explanation:

1) 1/6+1/6= 2/6

2) 2 and 6 can both be divide be 2.

   2/2=1 and 6/2=3

phương pháp số bằng phương pháp khử gauss

Answers

Answer:

Step-by-step explanation:

một kho hàng có 927 chiếc quạt, đã chuyển đi 1/9 số quạt đó. Hỏi kho hnag còn lại bao nhiêu chiếc quạt?

Answers

Answer:

824

Step-by-step explanation:

Số quạt đã chuyển đi:

927 x 1/9 = 103 (chiếc)

Số quạt còn lại trong kho hàng là:

927-103 = 824 (chiếc)

Identify the similar triangle. Then find each measure (round to the nearest tenth).

Answers

Answer:

ZWU ~ WYU

WY = 2.5

UY= 1.5

Step-by-step explanation:

ZUW ~ WUY ~ ZWY

5/3=x+1/x

Cross multiply

5x=3x+3

2x=3

x=3/2 OR 1.5

A. 270

B. 180

C. 90

D. 360

Answers

Answer:

B 180

Step-by-step explanation:

The period is the interval it takes to repeat

The bottom of the first curve to where it repeats is 180

Find the total surface area of the square pyramid in the figure.
Question 8 options:

A)

64 yd.^2

B)

224 yd.^2

C)

112 yd.^2

D)

144 yd.^2

Answers

Answer:

D

Step-by-step explanation:

Surface area is area of base plus all 4 sides.  Base is a square with s = 8 so area is 64sq yd.  Sides are triangles, with A = 1/2 bh, so 1/2(8)(5) = 20.  Four sides would be 80sq yds.  Add base and sum is 144 sq yds.

a cycle travel 1st km at therateof 10 km per hour the second km at the rate of 3 per hour and third at therate of 6 km.find the average speed of cyclea cycle travel 1st km at therateof 10 km per hour the second km at the rate of 3 per hour ​

Answers

Answer:

18 kilometers 120 kilometers

81×81+68×68-2×81×68

Answers

Answer:

First by "BODMAS" we will sove multiplication

81×81+68×68-2×81×68

now first we will solve addition

=6561+4624-11016

=11185-11016

=169

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

For the function h defined by h(x) = 2x2 – 2, find h(-1/2).

Answers

The choose C. –1.5

I hope I helped youI hope ^_^

What is the volume of a pyramid below?



600 cm^3

750 cm^3

900 cm^3

1800 cm^3

Answers

Answer: 600 cm³

Step-by-step explanation:

Volume of square pyramid = (1/3) · b² · h

b = base edge length = 10 cmh = height = 18 cm

Therefore, the volume can be calculated as

[tex]\frac{1}{3} *10^{2}*18=\frac{1}{3}*100*18=\frac{1}{3}*1800=\frac{1800}{3}=600[/tex]

Answer

900

Step-by-step explanation:

it is pyramid and finding its volume we use the 3 components that is length, with and the height

1/2 base x width x height

5 x 18 x 10 = 900cm³

Urgent please I neeed some help !!!!!!!!!!!!!!!!!!!!!! URGENT 20 point bonus

Answers

Answer:

113.1

Step-by-step explanation:

use the formula to solve for volume

Rufus works an average of 46 hours each week. He gets paid $5.70 per
hour and time-and-a-half for all hours over 40 hours. What is his annual
income?
a. $14,523.60
b. $11,856
c. $25,650
d. $2,667.60

Answers

the answer is A. $14,523.60
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