Ali invests $4,078 in a retirement account with a fixed annual interest rate of 7% compounded
continuously. What will the account balance be after 14 years? (round your answer to the nearest
dollar, and do NOT put a $ in your answer.

Answers

Answer 1

Answer:

The account balance will be $10,866 after 14 years

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

[tex]A=Pe^{rt}[/tex]

A = the future value of the investment, including interestP = the principal investment amount (the initial amount)r = the interest rate  t = the time the money is invested for

Let us use this rule to solve the question

∵ Ali invests $4,078 in a retirement account

P = 4,078

∵ The account with a fixed annual interest rate of 7% compounded

   continuously

r = 7% = [tex]\frac{7}{100}[/tex] = 0.07

∵ The time is 14 years

t = 14

Substitute these values in the rule above to find A

∵ [tex]A=4,078(e)^{0.07(14)}[/tex]

→ Use the calculator to find the value of A

A = 10,865.65255

→ Round it to the nearest dollar

A = $10,866

The account balance will be $10,866 after 14 years


Related Questions

Which one?
A. B. C. or D? ​

Answers

C. 7/2x -2.

Because slope is positive, y intercept is -2.

7/2 because if rise over run

Branliest would be appreciated if this helped

The answer is C hope this helps

help me pleaseeeeeeeeeeeeeee

Answers

Answer:

Neither

Step-by-step explanation:

Hope this helps!

Answer:

meme

how bout that

Sylvia wants to save up $1375 to go on vacation to the beach and amusement parks. She saves $55 each week and now has $165 saved. How many more weeks will Sylvia need to save money for her trip?

Answers

Answer:

Step-by-step explanation:

55x + 165 = 1375

so just add 55 till you get there

22

Which square root is closer to 9?

Answers

The square root of 9 is 3. 3x3= 9. Square root is when you can take a number , multiply it by itself and get the given number (9 , in this case).

Bananas cost $1.15 per pound. Jose bought 2.4 pounds of bananas. How much did it cost?

Answers

Answer:

$ 2.76

Step-by-step explanation:

Hi there !

1 pd ........... $1.15

2.4pd .........$ x

x = 2.4×1.15/1

= $ 2.76

Good luck !

Answer:

Bananas cost $1.15 per pound

Cost of 2.4 pounds of bananas

= $(2.4×1.15)=$2.76

$2.76 is the right answer.

What is the inverse operation of addition?

Answers

Answer:Inverse operations are opposite operations. Subtraction is the inverse of addition and division is the inverse of multiplication.

Step-by-step explanation:

The ratio of collectible cards Kyle owns to cards that Zeona owns is 3:2. Zeona has 36 cards. How will the ratio of Kyle’s cards to Zeona’s cards change if they both sell half of their cards? Explain.

Answers

Answer:

It wouldn't.

Step-by-step explanation:

With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.

Help me someone please I’m lost and confused??

Answers

Answer: go to Cymath

Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers

what equation would make it a vertical line

Answers

Y=Mx+b always makes a straight line that can go in any direction

I need help with this please


lx+ 11 l< 17

Answers

The correct answer would be any number between 0 and 6 (but not including 6) because this would satisfy the terms that it must be less than 17!

For example, |2 + 11| = 13, which is less than 17.

Answer:

x<6 should be the correct answer

A triangle has sides of length 30 98 and 103 is it a right angle

Answers

Answer:

No because by definition, theres is no exact 90 degree angle to form a Right angle triangle

Answer:

No this triangle is not a right angle because right angle have exactly 90° value, corresponding to quarter turn.

if 9:x=36:20, What is the value of x​

Answers

Answer:

x = 5

Step-by-step explanation:

Expressing the ratio in fractional form , that is

[tex]\frac{9}{x}[/tex] = [tex]\frac{36}{20}[/tex] ( cross- multiply )

36x = 180 ( divide both sides by 36 )

x = 5

how do I solve these two problems please explan how you got the answer ​

Answers

Answer:

They want you to have a good "grasp" of algebra... since you're asking about this I'm going to guess you don't feel that comfortable with it ... so I'll go in detail below. Even thought this is exactly what your math teacher is supposed to be teaching you.. ask your math teacher if I can have part of their salary :) $$

Step-by-step explanation:

in Question 18 , they are asking to solve for y  .  what that means is they want an equation that looks like  y= (some stuff)  In math terms they are asking you to isolate the y ...  which is the part your math teacher should have told you.. were you just not listening? :P Anyway,  soooo to solve for y we want to get y by it self.. on one side of the = sign and everything else on the other.. to do this use the order of operations ... but.. for doing algebra it has to be done in reverse order :0.... which i'm sure your math teacher hasn't mentioned and partly why algebra is so difficult.  

soooo  solve for 'y' ( isolate y )

12x-4y=20

-4y=20-12x

y=(20-12x)/-4

Yes, I know.. that answer is not very "satisfying"  but. that is solved for "y"

for Question 20 it's just straight algebra, no numbers.. it's more abstract...and solve for R ( isolate 'R')   to get  R by itself

P=(R-C) / N

I'm multiplying by N first b/c the next thing in those parenthesis and when you do the order of operations you'd usually to that first but remember we are going back wards in operations.. sooo  multiply both sides by N

P*N=R-C  ..  

now that R-C is no longer in parenthesis we can do that addition of C to both sides..  this is kinda tricky b/c of how the R-C were both over the N  anyway...

P*N +C=R

another way to think of this one.... maybe you don't want to and you can just skip this part if you want to be done...

P=(R-C)/N

P=R/N - C/N  now we can do addition first .. like I was mentioning above

P+C/N = R/N   multiply both sides by N

N(P+C/N)=R   b/c N/N =1 just drop it from the R'

P*N +C =R   we end up at the same place but my a different route.

Multiply. Write your answer as a fraction in simplest form. 2/3 x 6/5

Answers

Answer:

4/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2    6    12

_ x _ =  _

3    5    15

Simplest form is 4/5

PLEASE HELP. Select the two roots of (3x+7)(2x-5)=0

Answers

Answer:

-7/3 & 5/2

Step-by-step explanation:

3x +7 = 0

3x = -7

x = -7/3

2x-5=0

2x = 5

X = 5/2

PLEASE I NEED HELP FIND THE X USE THE SCREEN SHOT

Answers

The answer is 29 for x

Calculate the median of the following set of numbers.



19, 22, 75, 37, 37, 27, 32, 15, 10

Answers

Answer:

37

Step-by-step explanation:

10,15,19,22,27,32,37,37,75

Sarah goes grocery shopping and buys oranges by the pound. Does this represent a discrete or continuous graph?​

Answers

Answer:

continuous graph

Step-by-step explanation:

Charlotte is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The labor and materials cost $100 for each phone manufactured, and the total cost of producing 8 phones in a day would be $1300. Write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.

Answers

Answer:

C=100+162.5p

Step-by-step explanation:

In this problem, we want to write a model/equation that will represent the cost of producing a phone

Given, labor and materials cost per phone is $100

the cost of producing 8 phones a day is $1300

let us find the cost of producing one phone a day

8 phone is produced for $1300

1 phone will be for x

x= 1300/8

x=$162.5

The cost of producing a phone in a  day is $162.5

therefore the of producing p phone in a day is 162.5p

if C represents the total cost of producing a phone

then total cost, in dollars, of producing p phones in a given day.

C=100+162.5p

Answer: C = 100p + 500

This is the correct awnser

Step-by-step explanation:

(URGENT!! PLS HELP) The color of paint used to paint a race car includes a mixture of yellow and green paint. Scotty wants to lighten the color by increasing the amount of yellow paint 30%. If a new mixture contains 3.9 liters of yellow paint, how many liters of yellow paint did he use in the previous mixture?

Answers

Answer:

3 liters

Step-by-step explanation:

Let the initial amount of yellow paint be x

Then we have x increased by 30% equals 3.9 liters:

x + 0.3x = 3.91.3x  = 3.9x = 3.9/1.3x = 3 liters

The diameter of a circle is 9 ft. Find its area to the nearest tenth.

Answers

Step-by-step explanation:

D=9

A=pie*radius^2

=3.14*9/2*9/2

=63.58

=64

Ok so The answer is 14

write an inequality for the following statement :

c is less than 1

Answers

Answer:

c < 1

Step-by-step explanation:

less than is <

c < 1

Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.

Answers

Answer:

$216

Step by step

Explanation:

First we subtract  $ 20 from  $ 84  giving us a total of  $ 64 and when we add that to  $ 152  we get  $ 216

.

Answer:

-60

Step-by-step explanation:

ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!

Answers

Answer:

integers

Step-by-step explanation:

List all the 3-digit even numbers that can be created by rearranging these number tiles.
237

Answers

Answer:

732 372

Step-by-step explanation:

A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase.
NEED HELP PLZZZ :( WILL GIVE BRAINIEST IF RIGHT
A $1.75x ≤ $25
B $1.75x ≥ $25
C $25x ≤ $1.75
D $25x ≥ $1.75

Answers

Answer:

A ) $1.75 x  ≤ $25

Step-by-step explanation:

the cost of x boxes of crayons = 1.75x dollars

If there is a budget of only $ 25,

So, the cost of x boxes of crayons ≤ $25

Answer:

Since his budget is 25, it's less than or equal to ( ≤ 25). That means your answer would be A  $1.75x ≤ $25 because 1.75 times the amount of crayons can't go over the $25 budget.

Can you help me to solve this​

Answers

Answer:

[tex]\frac{4a-2}{2a+1}[/tex]

Step-by-step explanation:

Factorise the numerator and denominator

8a² - 2 ← factor out 2 from each term

= 2(4a² - 1) ← 4a² - 1 is a difference of squares

= 2(2a - 1)(2a + 1)

4a² + 4a + 1 ← is a perfect square

= (2a + 1)²

Thus

[tex]\frac{8a^2-2}{4a^2+4a+1}[/tex]

= [tex]\frac{2(2a-1)(2a+1)}{(2a+1)(2a+1)}[/tex] ← cancel (2a + 1) on numerator/ denominator

= [tex]\frac{2(2a-1)}{2a+1}[/tex]

= [tex]\frac{4a-2}{2a+1}[/tex]

Answer: 4a-2/2a+1
Explanation: first factor out the expression. Second cancel out

Consider the equation 3x+10=2x+10. Does this equation have one solution, infinitely many solutions, or no solutions? Explain your answer.

Answers

Answer:

One solution:  x = 0

Step-by-step explanation:

Starting with 3x+10=2x+10,

subtract 2x from both sides.  We get x + 10 = 10, or x = 0.  This equation has ONE solution, x = 0.

Help asap people help with 6th grade..

Multiply. Use the greatest common factor to write each answer in the simplest form. 4/15 * 5/6

5/12 * 3/20

3/5 * 3/20

5/8 * 5/24

3 5/12 * 1 3/8


2 9/10 * 1 7/18

Answers

Answer:

1. 20/90 ----- GCF is 10 ----- 2/9

2. 15/240 ----- GCF is 15 ----- 1/16

3. 9/100 ----- GCF is 1 ----- 9/100

4. 25/192 ----- GCF is 1 ----- 25/192

5. 451/96 ----- GCF is 1 ----- 4 67/96

6. 725/180 ----- GCF is 5 ----- 4 1/36

:::::::::::::::::::bdisbsidvwish

Answers

Answer:

what you are looking for is the exact form which is 71 over 12

I hope this helps you!

(p.s can I please have brainlyest?)

Step-by-step explanation

Exact form: 71/12

Decimal form: 5.916

Mixed number: 5 11/12

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