Katie deposited $2,000 into a new savings account that paid interest at an annual rate of 3%, compounded continuously. If there were no other transactions, approximately how much money was in Katie's account 6 years after she made the deposit?

Answers

Answer 1

Answer: $ 2388.10

Step-by-step explanation:

Given: Principal value : P= $2,000

annual rate : r= 3% = 0.03

Time : t= 6 years

Formula to calculate the accumulated amount if compounded continuously :-

[tex]A=P(1+r)^t[/tex]

[tex]A=2000(1+0.03)^6\\\\=2000(1.03)^6\\\\=2000(1.1940523)\\\\=2388.10[/tex]

Hence, Money in Katie's account after 6 years = $ 2388.10


Related Questions

Susan went to dinner at San Felipe and ordered the ACP for $10.99. If she paid 8% tax, what was her total cost?

Please help!

Answers

Answer:

11.88 $ (approximately)

Step-by-step explanation:

10.99 is approximately 11

So

100$ …8$

1$ .… 8/100 $

11$… 8/100×11 $

22/25 $

0.88 $

So she total has to pay

11 + 0.88 $

11.88 $ (approximately)

no one is answering i need help asap

Answers

Answer:

32t + 72

Step-by-step explanation:

8(4t+9)

4t(8) + 9(8)

32t + 72

Answer:32t+72

Step-by-step explanation:

Solve the inequality x + 1 > 4

Answers

Answer:

x>3

Step-by-step explanation:

treat the inequality like an equal sign

x + 1 >4

x > 4 - 1

x > 3

if there is plus we should take the number to the other side and subtract and if there is subtract we should take the number to the other side and plus

help 6th grade math i will give brainliest

Answers

Answer:

1) 125

2) 1

3) 27

Step-by-step explanation:

1) 5*5*5=

125

2) whenever there is an exponent of 0, the number is 1

3) 3*3*3=

27

Which equation best represents the relationship between x and y in the graph?
y
A. O y = 4x - 1
B.Oy = 12-1
C.
y = 4x + 1
DO g =
1x +1

Answers

u3uwi2i2i3ij3j3ui

Step-by-step explanation:

ii3jj3i3i3i3i3i3ii3u3ieu so

Anthony has a goal of saving 96.20. he will save the same amount each week for 13 weeks. How much will Anthony need to save each week in order to meet his hoal

Answers

Anthony will need to save $7.4 dollars each week for thirteen weeks if he is to meet his goal of $96.20

882372900083018x454
teheheh come here

Answers

Answer:

22otvllslsbbegf. 23+15

Step-by-step explanation:

at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost

Answers

Answer:

4,840

Step-by-step explanation:

15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.

Help please!! 20 point question!! Which equation represents the general form a circle with a center at (-2, -3) and a diameter of 8 units?
a. x2 + y2 + 4x + 6y - 51 = 0
b. x2 + y2 - 4x - y -51 = 0
c. x2 + y2 + 4x + 6y – 3 = 0
d. x2 + y2 - 4x - 6y - 3 = 0

Answers

Answer:

it is c

Step-by-step explanation:

the question is on the sheet.​

Answers

area of the whole figure

[tex] = (x + 1)(2x + 3) \\ = x(2x + 3) + 1(2x + 3) \\ = 2 {x}^{2} + 3x + 2x + 3 \\ = {2x}^{2} + 5x + 3[/tex]

area of the unshaded region

[tex] = x(2x) \\ = {2x}^{2} [/tex]

area of the shaded region

[tex] = {2x}^{2} + 5x + 3 - {2x}^{2} \\ = ( {2x}^{2} - {2x}^{2} ) + 5x + 3 \\ = 5x + 3[/tex]

THEREFORE,

THE AREA OF THE FRAME IS C. 5x + 3

fine the slope (2, 6), (–8, 11) *

A) m = -2/1
B) m = 1/2
C) m = -1/2
D) m = -2

Answers

the slope, m, equals (y2-y1)/(x2-x1) ->>> (11-6)/(-8–2) = 5/-10= -1/2

i really need help with this due soon!! will mark brainliest

Answers

Answer:

3.5

Step-by-step explanation:

21/6 = 14/4= 10.5/3

All would be 3.5

Answer:

3.5

Step-by-step explanation:

10.5 divided by 3 is 3.5

14 divided by 4 is 3.5

21 divided by 6 is 3.5

XYZ is 3.5 times bigger than RST

Oliver needs to save at least $1500 to buy a computer. He has already saved $650. How much more does he need to save? Write
and solve an inequality.
A)
x+650 2 1500; x 2850
B)
x + 650 S 1500; x 5 850
X + 1500 S 650; x S-850
D)
X + 1500 2 650; x 2-850

Answers

Answer:

I think it;s D

Step-by-step explanation:

:)

A parabola had a vertex at (3,4) and passes through the point (5,-4) what is the standard form equation for the parabola.. help pleasee

Answers

Answer:

i need help on this one aswell

Step-by-step explanation:

noooooooooooo

pls

someone help us on this question

A website rents new-release movies for $3 and older movies for $2. The revenue, r, of the website can be represented by the equation r = 3n + 2m, where n is the number of new-release movies rented and m is the number of older movies rented. Last month, the revenue was $6,840 and 1740 new release movies were rented Enter the number of older movies that were rented by solving for m.

m =​

Answers

Answer:

[tex]m=810[/tex]  

Step-by-step explanation:

[tex]r=3n+2m[/tex]

Where

[tex]r=6840\\n=1740\\m=?[/tex]

[tex]6840=3(1740)+2m\\6840=5220+2m\\6840-5220=5220+2m-5220\\1620=2m\\\frac{1620}{2} =\frac{2m}{2} \\m=810[/tex]

Answer :[tex]m=810[/tex]

PLEASE MARK ME AS BRAINLIEST

help plzzzz ill give extra points

Answers

Answer:

12x

16x, 320

20

Step-by-step explanation:

Hope this helps

Solution :-

Total equation ,

[tex]\displaystyle\sf\to 4x+\boxed{\sf 12}x=\boxed{\sf 320}[/tex]

[tex]\displaystyle\sf\to \boxed{\sf 16}x=\boxed{\sf 320}[/tex]

[tex]\displaystyle\sf\to x =\boxed{\sf 20}[/tex]

i need help pleaseeee!!!!!

Answers

Answer:

i do not know

Step-by-step explanation:

Answer: B) 133

=======================================================

Explanation:

Use the remote interior angle theorem. This says to add the interior angles shown, and you'll get the exterior angle that is not adjacent to those interior angles.

68+65 = 133

So angle B is 133 degrees

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

A longer alternative is to let C be the missing interior angle of the triangle. Then we can find that

68+65+C = 180

C+133 = 180

C = 180-133

C = 47

Angle C is adjacent to the exterior angle B, meaning

B+C = 180

B+47 = 180

B = 180-47

B = 133

A store sells posters for $12.50 each and picture frames for $30.00 each. One day, the store sells a total of 32 posters and
picture frames combined for a total of exactly $645.00.
How many posters and picture frames does the store sell on that day?
O 13 posters and 16 picture frames
14 posters and 18 picture frames
16 posters and 16 picture frames
18 posters and 14 picture frames

Answers

Answer:

D

Step-by-step explanation:

Answer:

option D: 18 posters and 14 picture frames

Step-by-step explanation:

It isn't the first one because it doesn't have a total of 32 combined sales

It isn't the second because the total money is $715.00

It isn't the third because the money totals out to $680.00

The answer is the fourth option because the total product sold is 32 and the total money earned is $645.00

WILL GIVE BRAINLIEST:


2). Mr. Joe ordered a total of 12 drinks from Peets. She ordered twice as many coffees (x) as chai tea drinks (y). How many of each drink did she order?

Answers

Answer:

She ordered 8 coffees and 4 chai tea drinks.

Step-by-step explanation:

8 coffees and 4 chai tea drinks

$1.29 + $2.52+$2.23+$1.50.
please help ​

Answers

Answer:

$7.54

Step-by-step explanation:

Answer:

$7.54

Step-by-step explanation:

you solve by adding all the money together

yea yea yea yea yea help please i have a zero in this class lol

Answers

Answer:

D. -3z+2

Step-by-step explanation:

Steps:

Remove parentheses: (a) = a

= 5z+9-(8z+7)

....

Simplify

5z+9-8z-7: -3z+2

Answer:

-3z +2

Step-by-step explanation:

A expression in terms of z is given to us and we need to simplify out the given expression . The give an expression to us is ,

[tex]\implies (5z + 9 ) - ( 8z + 7 )[/tex]

Recall that , + × - = - . We have ,

[tex]\implies 5z + 9 - 8z - 7 [/tex]

Combining the like terms and simplifying ,

[tex]\implies 5z - 8z - 7 +9 \\\\\implies \underline{\underline{ -3z +2 }}[/tex]

Hence the last option is correct .

Members of a baseball team raised $1199.50 to go to a tournament. They rented a bus for $830.50 and budgeted $30.75 per player for meals. Determine the number of players the team can bring to the tournament.

Answers

Answer:

The team can bring 12 players to the tournament.

Step-by-step explanation:

With the information provided, you can say that cost of going to a tournament is equal to the cost of renting the bus plus the result of multiplying the cost per player for meals for the number of players, which is:

c=830.50+30.75x, where:

c is the cost of going to a tournament

x is the number of players

Now, you can replace c with $1199.50 that is the total amount they raised and solve for x:

1199.50=830.50+30.75x

1199.50-830.50=30.75x

369=30.75x

x=369/30.75

x=12

According to this, the answer is that the team can bring 12 players to the tournament.


Plsss help!!!!!!!!!!!!!!!!!

Answers

2x - 15 = x + 6
+ 15 +15

2x = x + 21
-x -x

x = 21

plug it into the problem again

2(21) - 15

42 - 15 = 27 (i think lol)

Answer:

[tex]27[/tex]

Step-by-step explanation:

A rhombus is a quadrilateral where all sides are equal in length. This means that [tex]\overline R \overline O = \overline O \overline C[/tex].

From this, we can write:

[tex]2x-15=x+6[/tex]

[tex]x-15=6[/tex]

[tex]x=21[/tex]

Now that we have solved for [tex]x[/tex], we can find the length of [tex]\overline R \overline O[/tex] by using substitution:

[tex]2x-15=2(21)-15[/tex]

[tex]=42-15[/tex]

[tex]=27[/tex]

Hope this helps :)

A store is having a 20%-off sale on all pairs of shoes. Kurt wants to buy a pair of shoes that have a regular price of x dollars. The sales tax is 7%. Which expression represents the final price of the shoes?

Answers

Answer:

[tex]\$ \ \dfrac{428}{500}x[/tex]

Step-by-step explanation:

Regular price of a pair of shoes = $[tex]x[/tex]

Discount offered = 20%

Amount of discount offered = 20% of $[tex]x[/tex]

Discounted price = Regular price - Amount of discount

Discounted price = $[tex]x[/tex] - 20% of $[tex]x[/tex] = 80% of $[tex]x[/tex] = [tex]\$ \frac{4}{5}x[/tex]

Now, it is given that there is a sales tax of 7% as well on the price.

Sales tax is applied on the discounted price.

Therefore, sales tax = 7% of [tex]\$ \frac{4}{5}x[/tex]

Final Price after applying the sales tax = [tex]\$ \frac{4}{5}x[/tex] + 7% of [tex]\$ \frac{4}{5}x[/tex]  

[tex]\Rightarrow 107\%\ of\ \$\ \ \dfrac{4}{5}x[/tex]

[tex]\Rightarrow \$ \ \dfrac{428}{500}x[/tex]

Therefore, the expression to represent the final price of the pair of shoes:

[tex]\$ \ \dfrac{428}{500}x[/tex]

hi guys answer this maths question pls​

Answers

Answer:

8 and 7

7 and 4

Step-by-step explanation:

Answer: the biggest odd number is 8467

Answer: the smallest odd number is 4867

Step-by-step explanation:

ok how is every ones day ok what is 12345 times 23456=

Answers

The answer is 289,564,320. Have a nice day and Happy Holidays

Please help !!
-
Omar buys stuffed animals for $4 each. He sells them for $7 each. Is this a markup of markdown situation? What is the percent profit?

Answers

Answer:

This is a markup situation, since the price increased. The percent of profit would be 75% because 7-4=3, 3/4 = 75%

Price of Rope
3 The amount a hardware store pays for buying nylon rope
is represented by the equation y = 0.12%, where y is the
price it pays for x feet of rope. The amount the hardware
store charges when selling the rope is represented by
the graph
The profit the store makes on the rope can be found by
subtracting the amount it charges for the rope from the
price it pays for the rope. If the store sells 80 feet of rope,
how much profit does it make on that rope?
Show your work.
y
A
1.80
1.60
1.40
ū1.20
8 1.00
0.80
0.60
0.40
0.20
0 1 2 3 4 5 6
Length (ft)

Answers

Answer:

The answer is 2.25 that makes profit

Step-by-step explanation:

What is the answer to 8w+56?

Answers

Answer:

What is w equal to?

Step-by-step explanation:

8(w+7) sorry if it’s wrong

Can some help ?? I’ll give brainliest

Answers

Answer:

d

Step-by-step explanation:

the answer is d.

pemdas

you multiply the #s in the parenthasese first. so u get 3times x wich is 3x and six times three wich is 18

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