Aaron invested $7,500 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?

Answers

Answer 1
7500*1.015^8 = 8447.69
Answer 2

Answer: 8500

Step-by-step explanation:

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=7500\hspace{35px}r=0.015\hspace{35px}t=8

P=7500r=0.015t=8

Given values

A=7500e^{0.015(8)}

A=7500e

0.015(8)

Plug in

A=7500e^{0.12}

A=7500e

0.12

Multiply

A=8456.22638685

A=8456.22638685

Use calculator (with e button)

A\approx 8500

A≈8500

Round to nearest hundred dollars


Related Questions

write an equation that passes through (2,3) with a slope of 5

Answers

Answer:

7

Step-by-step explanation:

y=mx+c put the value of

x=2,y=3 and m=5 and solve this and you will get the answer of c=7

Please help me............

Answers

Answer: Answer: I’m not big brain

Step-by-step explanation:

Step-by-step explanation:

the coldest temperature on record in town A is -3.33 degrees Fahrenheit. The coldest temperature on record in town B is -3 2/5 Fahrenheit. Which town has the colder temperature?​

Answers

Answer:

town b

Step-by-step explanation:

-3.33 degrees is smaller than 2/5 of 1.00 because 2/5 is 0.4 so -3.4 degrees is colder than -3.33.

Need help?!!??!!!!!!!

Answers

Answer:

Step-by-step explanation:

m : n = 2 :1

A(1 , 3 )    ;  x₁  = 1 & y₁ = 3

 B(7, 8)     ; x₂ = 7  & y₂ = 8

Required Point = [tex](\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})[/tex]

                        [tex]=(\frac{2*7+1*1}{2+1},\frac{2*8+1*3}{2+1})\\\\=(\frac{14+1}{3},\frac{16+3}{3})\\\\\\=(\frac{15}{3},\frac{19}{3})\\=(5,6.3)[/tex]

The distance between two towns is 130 kilometers. There are approximately 8 kilometers in 5 miles.

Which measurement is closest to the number of miles between the two towns?

Please Give A Good Answer Ill Give Brainest And Extra Points ​

Answers

Answer: 81 miles

Step-by-step explanation:

From the question, we are informed that the distance between two towns is 130 kilometers and that there are approximately 8 kilometers in 5 miles.

The measurement that is closest to the number of miles between the two towns goes thus:

Firstly, we need to divide 130 kilometers by 8 kilometers. This will be:

= 130/8

= 16.25

Then, we multiply 16.25 by 5 to get the number of miles between the two towns. This will be:

= 16.25 × 5 miles

= 81.25 miles

= 81 miles

Mikey and some of his friends went to play paintball yesterday. The park where they played charges $5.59 per game they play for each person. If Mikey brought 7 friends with him, and the total amount they paid was $178.88, how many games of paintball did they play?

A. 32
B. 5
C. 4
D. 22

Answers

4 games as:

5.59 * 8 = 44.72

178.88/44.72 = 4

Answer = C. 4

Mark as Brainliest please

What is the value of x?
A.) х= 21
B.) x= 28
C.) x= 35
D.) x= 37

Answers

Answer:

I think the answer is B 28 sorry if I am wrong

Answer:

x=37

Step-by-step explanation:

Solve mobiles plz help I’m confused

Answers

Answer:

Gold square = 4

Blue triangle = 3

Step-by-step explanation:

Red hexagon = 6, and there are 4 red hexagons.  So the total is 24.

Therefore, the total on the other side must also be 24.

That means the 4 blue triangles add up to 12, and the 3 gold squares add up to 12.

So each blue triangle is 3, and each gold square is 4.

MATH HELP ME ASAP PLEASE

Answers

Answer:

53lbs.

Step-by-step explanation:

If Kevin bought 3 20lbs. Bags of gravel he would have 60 lbs. of gravel. In the end he has 7 lbs. of gravel left he used 53 pounds.

Equations:

7+x=60 or 60-7=53 lbs.

Answer:

3 pounds of gravel

Step-by-step explanation:

If you look at the chart, each bag of gravel is 20 lbs. If he bought 4 then that is 20 x 4. That equals 80. If he only used 77 pounds of it, then you get 80-77. That equals 3

Simplify 50/780 if possible

Answers

Answer: 5/78

Step-by-step explanation: u simplify

Answer:

5/78

Step-by-step explanation:

Divide both parts by 10.

Hope I helped :)

Roberta is planting flowers in her garden. She plants 9 rows of flowers. There are 7 flowers in each row. How many flowers does she plant in all?

Answers

Answer:

63 flowers

Step-by-step explanation:

all you have to do is multiply 7 and 9

please help.

The price of an item at a store is p. The tax that is charges is 7%. The expression below shows the total amount that has to be paid. Mark all that apply. look at the picture I attached.

Answers

Answer:

E and D

Step-by-step explanation:

Write the equation of the line that passes through the points (7,-9) and (2,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Answers

Answer:

y=-2x+3

Step-by-step explanation:

see the attached above.

I really sorry if you can't read me what I have done.

Best of luck :-)

Select the false statement

A. Dilations make pre-images bigger.
B. Dilations make pre-images smaller.
C. A dilated image has different angle measurements than the pre-image.
D. A dilated image has the same angle measurements as the pre-image.

Answers

Answer:

C

Step-by-step explanation:

A & B & D are true

It simply makes it bigger/smaller with keeping the same angle measurements.

YALLL PLZZZZ HELPPPP ANYBODYYYYY I DONT GET THIS

Answers

Answer:

121

Step-by-step explanation:

74+47=121

180-121=59

59+x=180

x=121

Please help me with this! Legitimate answers only please!
Fill in the blanks with the proper/right options for the problem.

Answers

Answer:

x= amount of subscriptions

y= total amount

m= $5 rate of change

b= $15 a starting point....

Eq: y=5x+15

Based on the graph, which of the following represents a solution to the equation
(-2,-3)
(3,2)
(1,3)
(3,1)

Answers

We need a picture of the graph

Answer:

Add a picture of the graph please?

Step-by-step explanation:

Consider the functions f(x) = 2x + 9 and g(x) = (x - 9)/2. Calculate the following.
A. g( f( 15)) B. g( f( -3)) C. g( f( x))

Answers

9514 1404 393

Answer:

  A. 15

  B. -3

  C. x

Step-by-step explanation:

C. Since we want different values of g(f(x)), it is convenient to find that first.

  g(f(x)) = g(2x +9) = ((2x +9) -9)/2 = 2x/2

  g(f(x)) = x

__

A. g(f(15)) = 15

__

B. g(f(-3)) = -3

A diver is standing on a platform 25 feet above the pool. He jumps from the platform at an initial velocity of 10 ft/s. Use the formula h(t)=-16t^2+vt+s where his height above the water at time t seconds, v is the starting upward velocity, and s is his starting point to write an equation to model the dive

Answers

Answer:

(one thing to notice, the units of the 16 in the height equation should be ft/s^2, because this is an acceleration)

We know that:

v is the initial vertical velocity, and we know that it is 10ft/s

then:

v = 10ft/s.

s is the initial position, and we know that he starts on a platform 25ft above the pool, then if we define the pool as the 0 in the vertical axis, we have:

s = 25ft

Now we can write the height as:

h(t) = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.

Now with this equation, we can find the time it takes for the diver to hit the pool.

Remember that we defined the pool as the 0 in the vertical axis, then when h(t) = 0ft the diver will enter in the pool.

With that, we can find the value of t = time, that it takes for the diver to enter the pool.

h(t) = 0 ft = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.

Now we can solve this with the Bhaskara equation:

[tex]t = \frac{-10m/s +. \sqrt{(10m/s)^2 - 4*(25ft)*(-16ft/s^2)} }{-16ft/s^2*2} = \frac{-10ft/s +- 41.23ft/s}{-32ft/s^2}[/tex]

We will have two solutions:

t = ((-10 + 41.23)/-32) s = -0.96s

t = (-10 - 41.23)/-32) s = 1.6 s

The negative has no physical sense, so we can discard that option.

This means that the only correct option is 1.6 seconds, then the time that it takes for the diver to enter the pool after he jumps is 1.6 seconds.

2) Ruth borrows $440 at 0.6% simple interest per month. When
Ruth pays the loan back 4 years later, how much interest does
Ruth pay?

Answers

Answer:

$10.56

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 0.6%/100 = 0.006 per year,

then, solving our equation

I = 440 × 0.006 × 4 = 10.56

I = $ 10.56

The simple interest accumulated

on a principal of $ 440.00

at a rate of 0.6% per year

for 4 years is $ 10.56.

Answer:

450.56

Step-by-step

440 x 0.006 x 4 + 440 =450.56

Solve

44 = 2(3x - 5)

Answers

6x-10=44
-10. -10
6x=34
/6 /6
X=5.67

Answer:

x = 9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

44 = 2(3x − 5)

44 = (2)(3x) + (2)(−5) (Distribute)

44 = 6x + −10

44 = 6x − 10

Step 2: Flip the equation.

6x − 10 = 44

Step 3: Add 10 to both sides.

6x − 10 + 10 = 44 + 10

6x = 54

Step 4: Divide both sides by 6.

[tex]\frac{6x}{6} = \frac{54}{6}[/tex]

x = 9

Hope it helps!!

Is the equation linear? Select Yes or No for each equation.

Answers

Answer:  1. yes  2.  yes  3. no

if x or y has more than one ex: xx

it is not linear

Find −7(9m−2)+(−5+6m).

Answers

Answer:

- 57m + 9

Step-by-step explanation:

Hi there !

−7(9m − 2) + (−5 + 6m) =

= -7×9m - 7×(-2) - 5 + 6m

= - 63m + 14 - 5 + 6m

= - 57m + 9

Good luck !

can someone check my account to help me on my newest math problems?
CORRECT ANSWERS ONLY
wrong ones will be reported instantly

Answers

Answer:

Absolutely, I would be more than willing to.

HELP ASAP
Given f(x)= -5x +2 and g(x)= x +4, find (f •g)(x)

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(x) = - 5x + 2[/tex]

[tex]g(x) = x + 4[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex](f \times g)(x) = f(x) \times g(x)[/tex]

[tex](f.g)(x) = ( - 5x + 2)(x + 4)[/tex]

[tex](f.g)(x) = - 5 {x}^{2} - 20x + 2x + 8 \\ [/tex]

[tex](f.g)(x) = - 5 {x}^{2} - 18x + 8 [/tex]

Done...

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Answer:

f (x+4) = -5x -18

Caitlyn was drawing in Art class. She had 20 hearts and 15 flowers.
What is the ratio of flowers to hearts?

Answers

Answer:

15:20

Step-by-step explanation: Well we know that we have 20 hearts and 15 flowers. In the question, it mentions flowers first so we put the flowers first in the ratio. flowers:hearts or 15:20

15 : 20 hope it helped:)

Help needed immediately. :( this is my my third time posting and no one is helping

Answers

Answer:

I know for a fact its the first and third ones but if there are more than those two I don't know

Step-by-step explanation:

Answer:

triangles ABC and DCB are congruent by the side-angle-side triangle congruence theorem is the correct answer

hope it helps you!

A female hippopotamus can weigh 48,000
ounces. How many tons can a female
hippopotamus weigh?

Answers

Answer:

1.5 tons

Step-by-step explanation:

1 US tons is equal to 32,000 ounces. Using this, you divided 48,000/32,000 =  12/8 = 1.5 tons

What is equivalent to 6/9​

Answers

Answer:

Answer: 2/3

Step-by-step explanation:

6 and 9 are divisible by 3 so if you divide the numerator and denominator by 3 you obtain the equivalent fraction 2/3.

You can also multiply the numerator and denominator by the same amount to obtain an equivalent fraction.

Gary had a pizza party for his friend 14 people showed up,and they had 50 pieces of pizza. How many pieces of pizza did each person have

Answers

Answer:

3

Hope this helps

Answer:

3

Step-by-step explanation:

each friend would have 3 pizzas

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