Taylor invested $11,000 in an account paying an interest rate of 3.5% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 14 years?

Answers

Answer 1

Answer:

$17,805.64

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 11,000.00(1 + 0.035/1)(1)(14)

A = 11,000.00(1 + 0.035)(14)

A = $17,805.64

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $11,000.00 at a rate of 3.5% per year compounded 1 times per year over 14 years is $17,805.64.

Answer 2

After 14 years, Taylor's account would have approximately $19,580 in it, assuming no deposits or withdrawals are made and the interest rate remains constant at 3.5% compounded continuously.

We have,

The formula for continuous compounding is:

A = P[tex]e^{rt}[/tex]

where A is the final amount, P is the principal (initial amount), e is Euler's number (approximately equal to 2.71828), r is the annual interest rate as a decimal, and t is the time in years.

In this case,

P = $11,000, r = 0.035 (3.5% as a decimal), and t = 14 years.

Plugging in these values, we get:

A = 11000 x e^(0.03514)

Using a calculator, we can evaluate this expression to get:

A ≈ $19,579.94

Rounding to the nearest dollar gives:

A ≈ $19,580

Therefore,

After 14 years, Taylor's account would have approximately $19,580 in it, assuming no deposits or withdrawals are made and the interest rate remains constant at 3.5% compounded continuously.

Learn more about continuous compounding here:

https://brainly.com/question/30761889

#SPJ2


Related Questions

Find the value of x in the figure shown
68°
to
a. 20
b. 22
c. 45
d. 80

Answers

Answer:

B

Step-by-step explanation:

The square in the lower left means the angle is 90

x + 68 + 90 = 180                All triangles have 180 degrees.

x + 158  = 180                      Subtract 158 from both sides

x = 180 - 158                       Combine

x = 22

$1,200 at 7% for 4 years

Answers

Answer:

372.95

Step-by-step explanation:

To calculate compound interest, which Amount - Principal but we dont know the value for amount so we find the amount first by using the formula.

              A =  P ( 1 +   R ) ^n

                                100      

where p = principal    ($1200)            

a =  amount       (?)

r =  interest rate    (7%)

n = time ( no of years)    (4)

A  =  1200   ( 1   +   7 ) ^4

                           100                  A = 1200 ( 1 + 0.07) ^4

A = 1200 ( 1.07)^4   ,    A = 1200 ( 1.31079)

A = 1,572.95

WE now find compound interest with the formula:  

C =  AMOUNT - PRINCIPAL =  $1,572.95  - $1200

    C  =   372.95

                     

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

Answers

Answer:

x = 3, T = 95°

Step-by-step explanation:

the sum of the interior angles of a four sided shape known as a quadrilateral is 360 degrees.

add all angles and equate to 360

95 + 75 + 30x + 5 + 30x + 5 = 360

collect like terms

180 + 60x = 360

subtract 180 on both sides

60x = 180

divide 60 on both sides

x = 3

the angle of T:

30x + 5

input x = 3

30(3) + 5 = 95 °

Caroline scored 8 more points than three times the number of points as Kamila. If Kamila scores 8 points in her next try, she will have scored 40 points for the season.

Question 1
Part A

Answers

Answer: 32

step by step explanation: 40 - 8 = 32

Can someone please help me ASAP I will give brainiest

Answers

28b + 2c + 7.75f < 145

Can you find both the value of x and y? It is a 30-60-90 triangle

Answers

Answer:

x = 8*root3

y = 16

Step-by-step explanation:

You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:

the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!

Another shortcut:

The longer leg is the shorter leg × root3.

This ALWAYS works on 30°-60°-90° triangles.

So on your triangle, the short side is 8, that means the longer leg is 8×root3.

ta-daaaa!

Evaluate the expression 3a + 1 for a = 2.​

Answers

Answer:

Your answer will be 7.

Step-by-step explanation:

[tex]\huge\fbox{Hi~there!}[/tex]

We are given an expression: 3a+1.

We are also given the value of a: 2.

All we should do in order to figure out the value of the expression is plug in the value of a:

[tex]\rm{3a+1[/tex]

[tex]\rm{3(2)+1[/tex]

[tex]\rm{6+1[/tex]

[tex]\rm{7[/tex] (Answer)

I hope you find it helpful.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*\star[/tex]


9. Show that for any real numbers a and b the vectors u = ai and v = bj are orthogonal?

Answers

AJ has the orthogonal from the sides of a & b thank you

1) Solve ;

[tex]3(x - 5) \leqslant x - 8[/tex]

Notes :-

Kindly don't spam...
Don't copy from web...​

Answers

Answer:

x ≤ 7/2

Step-by-step explanation:

Expand brackets:                   3x - 15 ≤ x - 8

Subtract x from both sides:   2x - 15 ≤ -8

Add 15 to both sides:                    2x ≤ 7

Divide both sides by 2:                   x ≤ 7/2

Answer:

Hello There!

[tex] \huge \dag \sf \green{question}[/tex]

[tex]3(x - 5) \leqslant x - 8[/tex]

[tex] \rule{200pt}{5pt}[/tex]

[tex] \huge \hookrightarrow \sf \blue{answer}[/tex]

[tex] \rule{200pt}{5pt}[/tex]

Use the distributive property to multiply 3 by x-5

[tex]3x - 15 \leqslant x - 8 [/tex]

Subtract x from both sides

[tex]3x - 15 - x \leqslant 8[/tex]

Combine 2x and -x to get 2x

[tex]2x - 15 \leqslant - 8[/tex]

Add 15 to both sides

[tex]2x \leqslant - 8 + 15[/tex]

Add -8 and 15 to get 7

[tex]2x \leqslant 7[/tex]

Now divide both the sides by 2

As 2 is > 0, the inequality direction remains the same.

[tex]x \leqslant \frac{7}{2} \\ [/tex]

[tex] \rule{200pt}{5pt}[/tex]

Hope it helps you from my side

:)

A 2-gallon bucket of paint costs $59.20. What is the price per cup?

Answers

Answer:

i would say about $1.85

Step-by-step explanation:

There are 16 cups in one gallon and so you at 16+16 and you get 32 so you devide 59.20 by 32 and you get your answer. 1.85

classify the angle
HELP PLEASR I FORGOT HOW TO DO THIS LMA​

Answers

Answer:

hope this helped

Step-by-step explanation:

the answer would be the 3rd one

This is acute because it is smaller than 90 degrees

The sum of a number and 5 is -35?

Answers

Answer:

The unknown number is -40

Step-by-step explanation:

Let x = the unknown number

x + 5 = -35

Subtract 5 from both sides

x = -40


I hope this helped and please mark me as brainliest!

Combine like terms to find X

16+4x=5x+5

Answers

Answer:

Answers in description based on what you're looking for. Not sure if you meant solve, because combining like terms results in repeating number

Step-by-step explanation:

- Combining like terms would lead to:

21 = 9x

/9     /9

x = 2.333333 (Repeating 3)

- Or to solve:

16 + 4x = 5x + 5

     - 4x    - 4x

16 = x + 5

- 5        -5

11 = x

7
From her cell phone bill,
Hannah sees that of the
3,500 text messages that
she sent last month, 15%
were sent at night. How
many messages did
Hannah send at night?

Answers

Step-by-step explanation:

525

15% of 3500

15/100 ×3500

0.15×3500

525

What is the solution for x in the equation 5(x + 3) = 5x + 3?

A.x = 3

B.x = 5

C.All real numbers

D.No solution

Answers

Answer:

D

Step-by-step explanation:

Multiply the 5 in to get 5x + 15 = 5x + 3

You can now see that no value for x will satisfy the equation.

please help me i don’t understand it

Answers

30.78cm 32.36cm 73.14cm the process is shown in the following picture

What are the solutions for f(x)g(x)

Answers

Answer:

  x = -1, 1

Step-by-step explanation:

The solutions to f(x) = g(x) are the x-values where the two functions have the same value.

The functions are both 1 when x = -1.

The functions are both -7 when x = 1.

The two solutions are x = -1, x = 1.

8. Find the y-intercept for the equation
3y + 4x = 15

Answers

Answer:

5

Step-by-step explanation:

First you need to know the SLOPE INTERCEPT FORM: y = mx + b

where m is the slope, and be is the y intercept

Now we re-write your question in the slope intercept form

Slope- Intercept form of 3y + 4x = 15: y = -4/3x + 5

according to the slope intercept form (y = mx + b) ~ the y intercept is 5

Dont get why? well the slope intercept form says y= mx + b, once we had re-written your equation as -4/3 + 5 in this case the b (y-intercept) is +5

Mary delivers 32 newspapers to her customers in 25 minutes. These deliveries represent 64% of her customers.
How many customers does Mary have?
A. 16 customers
B. 20 customer
C. 50 customers
D. 57 customers

i need this ASAP please help​

Answers

Mary delivers 32 newspapers to her customers in 25 minutes. These deliveries represent 64% of her customers. then the total number of customers Mary has is 50.

Given :

Mary delivers 32 newspapers to her customers in 25 minutes.These deliveries represent 64% of her customers.

The unitary method can be used to determine the number of customers Mary has.

As per the given data, Mary delivers 32 newspapers to her customers in 25 minutes and these deliveries represent 64% of her customer than the total number of customers is given by:

[tex]=\frac{100}{64}[/tex] × [tex]32[/tex][tex]=\frac{3200}{64}[/tex]

= 50

Mary delivers 32 newspapers to her customers in 25 minutes. These deliveries represent 64% of her customers. then the total number of customers Mary has is 50.

50

For more information, refer to the link given below:

brainly.com/question/2096984

Answer: your answer would be C. 50 customers  Hope this helped :)

Step-by-step explanation:

Amelia is travelling back to the United States. Her light last 20 hours, if her flight is at 8:45 am on Tuesday 19 july determine what time she will be home ?​

Answers

Answer:

she will be home at 5:45am the next day

Answer:

Wednesday 20 July  4:45 pm

Step-by-step explanation:

Key:

Flight = 8:45 am

Light last 20 Hour

Solution:

8:45 am to 11:45 am = 15 Hour

So Add 5 More hour = 4:45 pm

Therefore Amelia will be home on Wednesday 20 July 4:45 pm

(3^3+3^2)^2 step by step and explanation for 25 points

Answers

Answer:

1296

Step-by-step explanation:

[tex](3^3+3^2)^2[/tex]

( 3 * 3 * 3 + 3 * 3 )²

( 27 + 9 )²

( 36 )²

36 * 36

1296

Answer:

[tex](3 {}^{3} + {3}^{2} {)}^{2} [/tex]

[tex]((3 \times 3 \times 3) + (3 \times 3)) {}^{2} [/tex]

[tex](27 + 9 {)}^{2} [/tex]

[tex] {36}^{2} [/tex]

[tex]36 \times 36[/tex]

[tex]1296[/tex]

is my answer right? if not break the hard news and give me the right one​

Answers

Answer:

Pretty sure you are correct.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

the y-intercept is where the line crosses on the y axis

the line crosses 4 on the y axis so that is your answer

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

x ≈ 36.9°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{12}{15}[/tex] , then

x = [tex]cos^{-1}[/tex] ( [tex]\frac{12}{15}[/tex] ) ≈ 36.9° ( to the nearest tenth )

How to find the derivative of an integral with bounds.

Answers

Answer:

The statement of the fundamental theorem of calculus shows the upper limit of the integral as exactly the variable of differentiation. Using the chain rule in combination with the fundamental theorem of calculus we may find derivatives of integrals for which one or the other limit of integration is a function of the variable of differentiation.

Step-by-step explanation:

During a winter storm, the temperature on the top of a
mountain changed an average of -2.5°C every hour
for 12 hours. At noon, the temperature was -5°C.
During the same time period, the temperature at the
bottom of the mountain changed at the rate of
temperature change on the top of the mountain.

What is the hourly rate of temperature change at the bottom of the mountain ?

Answers

Answer:

-2.5 degrees C every hour

Step-by-step explanation:

This is because it is the same rate as the rate at the top.

explain how the singular forms of morning, night, monday, and tuesday may be changed to the plural forms every-morning every-night every-monday and every-tuesday

Answers

Besides using the word "every" before the singular forms of the words above, they can also be changed to their plural forms by adding "s" behind them. For example "morning" becomes "mornings".



Plural form of Morning in a Sentence

He works mornings. orMornings, I like to exercise.

Other examples related to the words above are:

The Tuesdays in March are going to be very busy.The nights I spent on the voyage was blissful.

See the link below for more about the Plural forms:

https://brainly.com/question/586494

Help please I don’t understand

Answers

Answer:

2. 2/3

3. 8

4. 6 3/4

5. 6 2/3

6. 3 1/2

7. 2 2/5

8. 6

9. 2 7/10

Step-by-step explanation:

Please find step-by-step explanation in my attached workings.  Hope this helps.

48 minutes to 3 hours as ratio in its simplest form​

Answers

Answer:

4 : 15

Step-by-step explanation:

The parts must be in the same units

3 hours = 3 × 60 = 180 minutes , then

48 minutes : 180 minutes ( divide both parts by 12 )

= 4 : 15 ← in simplest form

Need help, am confused

Answers

Answer:

C. 2.7 inches.

Step-by-step explanation:

Missing value looks the same, but it's 0.7 ft. longer than 2 ft.

2 + 0.7 = 2.7

Your answer is 2.7 (C).

Answer:

x = 2.5 ft.  (first option)

Step-by-step explanation:

Apply Thales' Theorem

[tex]\frac{DC}{EB} =\frac{AC}{AB}[/tex]

[tex]EB=x[/tex]

[tex]\frac{10}{x} =\frac{8}{2}[/tex]

[tex]x=\frac{(10)(2)}{8} =\frac{20}{8}[/tex]

[tex]x=2.5[/tex]

Hope this helps

Need help worth 15 points

Answers

Answer:

6, 5

Step-by-step explanation:

x: 1   3  5   7  9

y: 6 18 30 42 54

1 x 6 = 6

3 x 6 = 18

5 x 6 = 30

7 x 6 = 42

9 x 6 =54

Hope it helps and have a great day! =D

~sunshine~

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