the question is in the picture​

Answer:

11842.6541≈11842.65

Step-by-step explanation:

The amount of money to the nearest cent in the account after 18 years is

$11842.75.

Continuous compounding is the mathematical limit that compound interest can reach if it's calculated and reinvested into an account's balance over a theoretically infinite number of periods. While this is not possible in practice, the concept of continuously compounded interest is important in finance. It is an extreme case of compounding, as most interest is compounded on a monthly, quarterly, or semiannual basis.

A = P × [tex]e^{rt}[/tex]

where,

A = Amount of money after a certain amount of time

P = Principle or the amount of money you start with

e = Napier’s number, which is approximately 2.7183

r = Interest rate and is always represented as a decimal

t = Amount of time in years

Given here,

Principal amount (P) = $3610,

Interest rate (r) = 6.6% = 6.6/100 = 0.066

Amount of time (t) = 18 years

Therefore, Amount after 18 years will be A = P × [tex]e^{rt}[/tex]

                    A = $3610 × [tex]2.7183^{0.066 *18}[/tex]

                    A = $3610 × 3.2805

                    A = 11.842.7482

                    A = $11842.75

Hence, The amount of money to the nearest cent in the account after 18 years is $11842.75

Learn more about continuous compounding here:

brainly.com/question/30033245

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Step-by-step explanation:

use formula

volume of cone =1/3 πr²h

Answer:

-9/2

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

So add 18 and 12 makes 30. Then divide 30 with a common factor say 6. so there is 5 6s in 30 so each 6 is equivalent to 20 percent there are 2 6s in 12 so it is 40 percent

Answer:

21 because there is a 1/4 chance and there are 84 questions, so 1/4 (25%) of 84 is 21.

Step-by-step explanation:

Answer:

[tex]x^o+2x^o=180^o [Sum~of~angles~of~straight~line~is~180^o]\\or, 3x^o=180^o\\or, x = 60^o[/tex]

Step-by-step explanation:

x + 70° = 130° {exterior angle of a triangle is equal to the sum of two opposite interior angles}

x = 130° - 70°

x = 60°

Now for 2x = 2 * 60° = 120°

Answer: $-5

Step-by-step explanation:

From the question, we are informed that Spencer has a bank account with a balance of $75.

We are further told that Spencer owes $30 to her credit card and she owes $50 for a LCD tv.

The amount on Sencers bank balance if both debits were paid would be:

= $75 - ($30 + $50)

= $75 - $80

= $-5

Answer: 24

Step-by-step explanation:

Number of flower pots = 36

Since she plants daisies in 2/3 of her flower pots, the number of flower pots that Mary plant daisies will be:

= 2/3 × 36

= 2 × 12

= 24

She plants daises in 24 flower pots

Answer:

from left to right

-8

-9

-10

-11

Answer:

Step-by-step explanation:

[tex]step - 1 : define[/tex]

[tex] {8x}^{2} + x - (2x - 6) ^{2} [/tex]

[tex]step - 2 : simplify[/tex]

Answer:

2 + 4 = 6 animals

Step-by-step explanation:

2 cats + 4 dogs = 6 animals

6 animals is the answer

9514 1404 393

Answer

  a) correct

  b) (30, 100) would mean an area of 100 square feet is enclosed when the width is 30 feet. (Kristina's vertex coordinates are incorrect.)

Step-by-step explanation:

a) The derivation and expression for A(w) are correct

__

b) Kristina made a mistake in using her graphing calculator to find the vertex. The actual vertex is (27.5, 756.25). The coordinates of the vertex are (w, A(w)). The vertex (w, A(w)) means that the area of the enclosed space is A(w) when the width of the enclosure is w.

If Kristina's vertex coordinates were correct (which they are not), they would tell you the enclosed area is 100 square feet when the width of the enclosure is 30 feet.

Answer:

About 27 months with additional days

Step-by-step explanation: 2420/90 is 26.888888888888888888888888888889

Answer:

$515.40

Step-by-step explanation:

Dan pays $42.95 per month for his cell phone. There are 12 months.

m=months

($42.95m) (12) = $515.40

9514 1404 393

Answer:

  put the value into the equation and do the arithmetic

Step-by-step explanation:

As with any checking, you put the value where the variable is and do the arithmetic.

  7(2x +5) = 11x -9 -x

For x = -11

  7(2(-11) +5) = 11(-11) -9 -(-11)

  7(-22 +5) = -121 -9 +11

  7(-17) = -119

  -119 = -119

The value x = -11 makes the equation true.

Answer:

The answer is B the average tax rate

Answer:

the second one

Step-by-step explanation:

Answer:

l = 33 feet

Step-by-step explanation:

Let length be l.

Width, b = 2l-1

Perimeter of the room, P = 196

We know that the perimeter of the rectangle is given by :

P = 2(l+b)

196=2(l+2l-1)

98=3l-1

Adding 1 both sides.

98+1=3l-1+1

3l=99

l = 33 feet

So, the length of the room is 33 feet.

Answer: divide by 100 then times result by x

Step-by-step explanation: hope it helps

thx for points gl :)

Answer:

D :3 -Your friend, Bill Cipher

Step-by-step explanation:

Answer:

sqrt of 65, bc 8 squared is 64

Answer:

y = 3 /2 x + 5

Step-by-step explanation:

Answer:

The second store is cheaper

1st store is $290 and the 2nd is $257

Answer:

29

Step-by-step explanation:

Since this is a rectangle, opposite side are congruent and parallel so

[tex]7x - 6 = 3x + 14[/tex]

[tex]7x = 3x + 20[/tex]

[tex]4x = 20[/tex]

[tex]x = 5[/tex]

Plug that in to WZ

[tex]7(5) - 6 = 29[/tex]

Answer:

First we have to find the value of x.

So,

7x - 6 = 3x + 14

7x - 3x = 14 + 6

4x = 20

x = 20/4

= 5

Therefore

WZ = 7x - 6

= 7 ×(5) -6

= 29

Hope it helps!

Answer:

Sierra is 19 and Tina is 12.

Step-by-step explanation:

Sierra is 19 and Tina is 12.

19-7 = 12

19+12= 31

Answer:

It is 1/8

Step-by-step explanation:

If you split 1/4 into another half you will get 1/8

This is true because if you add 1/8 and 1/8 you get 2/8 which simplified is 1/4

Answer:

1.88 x 10⁶

Step-by-step explanation: