You open a savings account and deposit $1,000. After 1 year of earning continuously compounded interest.
your balance is $1.018.16. After 2 years, the balance is $1.036.66. Assuming you make no deposits or
withdrawals, find the equation for the best-fitting exponential function to represent the balance of the account
after x years. How much money will be in the account after 10 years?

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]1036.66=1000e^{2r}\\ \\ r=(ln(1.03666))/2\\ \\ r=0.018\\ \\ b(x)=1000e^{(0.018x)}\\ \\ b(10)=1000e^{0.18}=\$ 1197.22[/tex]

Answer 2

The equation for the best-fitting exponential function is A = 1000 (1.01816)ˣ. And the amount of money in the account after 10 years will be $ 1197.18.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

You open a savings account and deposit $1,000.

After 1 year of earning continuously compounded interest.

Your balance is $1.018.16. After 2 years, the balance is $1.036.66.

Assuming you make no deposits or withdrawals.

Then the equation for the best-fitting exponential function represents the balance of the account after x years will be

A = 1000(1 + r/100)ˣ

After one year, the amount will be 1018.16 dollars. Then the value of r will be

 1018.16 = 1000 (1 + r/100)¹

1 + r/100 = 1.01816

    r/100 = 0.01816

           r = 1.816%

Then the equation will be

A = 1000 (1.01816)ˣ

Then the amount of money in the account after 10 years will be

A = 1000 (1.01816)¹⁰

A = 1000 x 1.19718

A = $ 1197.18

More about the compound interest link is given below.

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Related Questions



Graph f (.x) = x3 – 4x3 + x2 + 2. Identify the x-intercepts and the points where the local maximums and local
minimums occur. Determine the intervals for which the function is increasing or decreasing. Round to the nearest
hundredth, if necessary.

Answers

After graphing  x⁵ – 4x³ + x² + 2, we have

x-intercepts : x ≈ 2.16, x = 1, x ≈ 1.75

local maximums : (-1.63, 10.47)

local minimums : (1.46, -1.68)

increasing : 1.46 < x < -1.63

decreasing : -1.63 < x < 1.46

What is graphing?

In discrete mathematics, and mοre specifically in graph theοry, a graph is a structure amοunting tο a set οf οbjects in which sοme pairs οf the οbjects are in sοme sense "related". The οbjects cοrrespοnd tο mathematical abstractiοns called vertices (alsο called nοdes οr pοints) and each οf the related pairs οf vertices is called an edge (alsο called link οr line).

Typically, a graph is depicted in diagrammatic fοrm as a set οf dοts οr circles fοr the vertices, jοined by lines οr curves fοr the edges. Graphs are οne οf the οbjects οf study in discrete mathematics.

After graphing  x⁵ – 4x³ + x² + 2, we have

x-intercepts : x ≈ 2.16, x = 1, x ≈ 1.75

local maximums : (-1.63, 10.47)

local minimums : (1.46, -1.68)

increasing : 1.46 < x < -1.63

decreasing : -1.63 < x < 1.46

Learn more about graph

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Complete correct question:

consider the arithmetic 2+4+6+8+10+12+14+16+18+20.... and answer the questions that follown
a.(i)T1=........ S1=........
(ii)Express T1 in terms of S1
can anyone please explain​

Answers

No next time ask nicely instead of “and answer the question that follow”

For the given function, state the "key values" (aka. The x-values for the asymptotes and 3 red points) for the given 1 period. F(x)=−tan 5/x ​

Answers

the answer is 54 take care man

solve. 6,394 ÷ 42 =
can you solve please ​

Answers

Answer:

152.238095

Step-by-step explanation:

Figure J is the result of a transformation on Figure I. Which transformation would
accomplish this?
Figure
Ficure

Answers

Answer:

Mirror across the y axis, then mirror across the x axis

Step-by-step explanation:

All of the following are equivalent except _____.


2%

0.2

1/50

0.02


pls help asap

Answers

0.2 would be the answer.
I think the answer is 0.2

3 erasers cost $4.41.
Which equation would help determine the cost of 4 erasers?

Answers

Answer:

The cost of 4 erasers is $5.88.

Step-by-step explanation:

$4.41 / 3 = 1.47

One eraser costs $1.47.

Multiply by 4 to find the cost of 4 erasers

$1.47 * 4 = $5.88

Answer:

It's D

Step-by-step explanation:

Could you help me out with this question? (Sin, Cos, Tan.) (Soh, Cah, Toa.)

Answers

Answer:

4cm

Step-by-step explanation:

the opposite side is opposite the  theta symbol

Is the one I chose right?

Answers

Answer:

Yes

Step-by-step explanation:

please help! solve for x!

Answers

Answer:

x = 9

-1 + 14x = 12x + 17

Answer:

x = 9

Step-by-step explanation:

-1 + 14x = 12x + 17

Rearrange terms.

14x - 1 = 12x + 17

Add 1 to both sides of the equation.

14x - 1 + 1 = 12x + 17 + 1

Simplify.

14x = 12x + 17 + 1

14x = + 12x + 18

Subtract 12x from both sides of the equation.

14x - 12x = + 12x - 12x + 18

Simplify.

2x = + 12x - 12x + 18

2x = 18

18 ÷ 2 = 9

x = 9

please help it is easy math that I forgot how to do

Answers

Answer:

21

Step-by-step explanation:

thats it 21

Last week, Sia ran 11 miles each day for 5 days and then
took 2 days off. Did she run at least 6 miles last week?
plsss

Answers

Answer:

Step-by-step explanation:

Sia ran

11*5=55 miles

2 days off

55 miles/7days=7.85 miles/day average

yes, she did ran at least 6 miles per week

Nhich number line represents the solutions to |x + 4| = 2?

Answers

Answer:

I'm guess that the parentheses looking sign means absolute value so the answer should be the first choice. (-6, and -2)

Step-by-step explanation:

-6 plus 4 = -2 but since we are doing absolute value then the absolute value of -2 is 2.

-2 plus 4 = 2 So, this is also correct because the answer is 2.

Hope this helps! :)

The solution is represented by  the first number line, which has the solutions x=-6 and x=-2.

What is number line?

A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

here, we have,

We have an absolute value function for the equation.

This means that we should have two different solution in the real number line.

As the equation is

|x + 4| = 2

when we clear out the absolute value, we will have two possible solutions:

x + 4 = 2

and

-(x + 4) = 2

now we clear x from both equations

x + 4 = 2 ⇒ x = -2

-(x + 4) = 2 ⇒ x = -6

Then, we have that x=-2 and x=-4 are the solutions for the equation, and therefore the number line that represents the solution is the first one, where the points -6 and -2 are highlighted.

To learn more on number line click:

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The letters of the alphabet are written on cards and places in a brown paper bag. What is the probability or drawing a vowel, replacing it, and then drawing another vowel?
A. 25/676
B. 75/676
C. 5/26
D. 21/26

Answers

Answer:

0.1%

Step-by-step explanation:

:D

Can someone pls help me

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Your GUIDE}\huge\downarrow[/tex]

[tex]\large\text{The DISTRIBUTIVE FORMULA is......}\\\large\text{a(b + c)}\\\large\text{a(b) + a(c)}}\\\large\text{a(b) = ab}\\\large\text{a(c)=ac}\\\large\text{= \underline{ab + ac}}[/tex]

[tex]\text{Now lets SOLVE for your QUESTION, shall we?}}[/tex]

[tex]\large\text{\bf{9(2n +1)}}\\ \large\text{\bf{9(2n) +9(1)}}\\\arge\text{\bf{9(2n)=18n}}\\\large\text{\bf{9(1)=9}}\\\large\text{\bf{= \underline{18n+9}}}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: 18n +9}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I need help :,) but I really don’t even know-

Answers

Answer:

8 yards. Trust me. I love mental math.

Step-by-step explanation:

I need your help, please!

Answers

Answer:

Option 3. r=800m

Step-by-step explanation:

From the table we can see that with each addition of a month the cost raises 800 dollars. (9,10).

Answer:

The third one.) r = 800m

Step-by-step explanation:

800m = 800 × m

Ex. 800 × 2 = 1,600

800 × 5 = 4,000

and so on...

CAN SOMEONE HELP ME PLEASE? ILL PAY IF ITS RIGHT

Answers

The correct answer is A. Just substitute the x values from the table into the equation y=-3x-2. E.g when x =1 the equation will be y=-3(1)-2 which equals to -5. Just compare the answers and check with the options. If u need more help feel free to ask

Can you please show me how to calculate this please?
5x + 8 = 3x + 9

Answers

Step-by-step explanation:

5x + 8 = 3x + 9

5x-3x=9-8

2x=1

x=1/2

Answer:

Step-by-step explanation:

Mr. Phan fills a portion of his pool with water on Monday. Then on Tuesday, he fills the pool with water coming from a hose at a constant rate. The table shows the number of feet of water in the pool as a function of time on Tuesday. What is the rate of change of the function? Explain your reasoning. Time on Tues. Amount of Water after 9 am (hr) in Pool (ft) 0 11 1 17 2 23 Rate of Change 1 2 3 4 5 6 N​

Answers

Answer: .6 ft. every hour

Step-by-step explanation: when you add the amount of feet added each hour you get .6 ft.

Heather has $490 in her savings account. She withdraws $15 per week for gas. Enter an equation Heather can use to see how many weeks it will take for her to have a balance of $310.

Answers

Answer:

490-15x=310

Step-by-step explanation:

x Is the amount of weeks

x^{2} = 49
............................................

Answers

Answer:

7

Step-by-step explanation:

x^2=49

x=7

An equilateral triangle has a perimeter of 42. What is it's height?

Answers

Answer:

Given that: The perimeter of the equilateral triangle is 42 inches. Side of the triangle=Perimeter/3=42/3=14 inches. The height of the triangle is 12 inches

Step-by-step explanation:

12 inches hope it helps

That person that answered your question is right

1(whole number) 4/6 (fraction) + 2(Whole number) 1/4 (fraction)

Answers

Answer:

Step-by-step explanation:

m

a

t

h

w

a

y

Answer:

answer is 3 11/12

Step-by-step explanation:

1 4/6 =10/6

2 1/4=9/4

when adding fractions that are do not share a common denominatour you have to find a common multiple

which in this case is 12

so 9/4 timesed the top and the bottom by 3 gives you 27/12

and 10/6 timesed the top and bottom by 2 gives you 20/12 and then you add the the nominators which is 20+27 which then gives you 47/12 and then to change it back to mixed fraction you will get 3 (wholes) and 11/12 (fraction)

Hope this helps xx

Please help me! (Tangent Ratios) (30 points)

Answers

Answer:

Step-by-step explanation:

A = 48/20

B = 20/48

Anna bought snacks for her team's practice. She bought a bag of
oranges for $3.27 and a 4-pack of juice bottles. The total cost before
tax was $5.03. How much was each bottle of juice?

Answers

Answer:

x the amount of the percentage of the tax divided by the amount for the juice

Answer:

0.44

Step-by-step explanation:

A cable company charges $70 per month for cable service. Please help ASAP Check screenshot pleasee (20 points) Thank youu! :)) <333 I put it to give ya 20 points but i dont know if it did it

Answers

Answer:

for #1: 70x = y

for #2: 70x + 100 = y

Step-by-step explanation:

you pay $70 for x amount of time with will equal your total therefore it's 70x = y

if you have to pay a one-time fee of $100.00 then you have to add that to your equation giving you 70x + 100 = y

hope this is right

hope it helps too :)

What fraction is closest to zero?
8/12, 5/8, 6/10, 2/3​

Answers

6/10 bcs it equals to .6

Answer:

8/12

2/3

Step-by-step explanation:

If correct plz plz mark as brainliest

thank you

19NBoli

:)

6 times the difference of d and 5?​

Answers

Answer:

6d-30

Step-by-step explanation:

6(d-5)

6d-30             distributive property

2 +7 +4(9 - 6)2 = 6

PLEASEE I NEED HELP

Answers

Answer:

It is false

Step-by-step explanation:

Because 2+7+4x3 2 =33 not 6

2+7+24 =6

33=6

Answer:

your mum, lol

Step-by-step explanation:

someone already did it might as well put random comment

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