suppose 7,500 is invested at 1.5%, compounded continuously. what will the account balance be in 16 years?​

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf \$9,534.37}}[/tex]

Step-by-step explanation:

The formula for continuously compounded is:

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

where P is the principal amount, r is the interest rate as a decimal, and t is the amount of time.

The principal amount is $7,500 and time is 16 years. The interest rate is 1.5%. Convert this to a decimal- divide by 100 or move the decimal places two spots to the left.

1.5/100= 0.015         or           1.5 --> 0.15 --> 0.015

Now we know all the values and can substitute them into the formula.

[tex]P= 7500 \\r= 0.015 \\t= 16[/tex]

[tex]A= 7500(e^{0.015*16})[/tex]

Solve the multiplication in the exponent first.

[tex]A= 7500(e^{24})[/tex]

Solve the exponent.

[tex]A= 7500 (1.27124915)[/tex]

[tex]A=9534.368627[/tex]

Round to the nearest cent (hundredth place). The 8 in the thousandth place tells us to the round the 6 to a 7.

[tex]A=9534.37[/tex]

The account balance will be $9,534.37 after 16 years.


Related Questions

The sum of one half and one third, halved
5th grade explation

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5/6, five sixths is the answer

Please answer this quickly

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This answer cannot be answered due to the fact that there is no question. Please provide some kind of question.

Answer:

ok

Step-by-step explanation:

- 2x + 7y< -14
4x+3y> -12

Answers

Answer:

Given inequalities:

- 2x + 7y < -14 4x + 3y > -12

Solution is attached

The first inequality is zone AThe second inequality is zone BIntersection of two zones is the solution: zone AB

PLEASE HELP ME WITH THIS ILL GIVE U BRAINLEST

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Answer:

y=-2/5x+5

Step-by-step explanation:

What is the area of this triangle?

Answers

Answer:

sorry I don't know buddy but have a nice day

Step-by-step explanation:

2-_7372773648++_+$

3.6 just lookin for point so I don’t have to watch ads

what is the slope of the function below y=5x+8​

Answers

Answer:

This function is in y=mx+b form, where m is the slope, and b is the y-intercept.

So, for this equation the slope is 5.

Hope this helps!

Sandy's dad just finished working and was paid $8000 for his work. Her dad gave her mom 5/8 of his salary to pay for household expenses. Her mom gave her brother 1/15 of the amount she received as allowances for her brother. Her brother gave Sandy 2/3 of his allowances because he owed her money. How much money did Sandy get from her brother?

a) Write an equation for this scenario

b) Solve the scenario and find out how much money Sandy got from her brother

Answers

Answer:

Sandy got (approximately) $222.22 from her brother.

Step-by-step explanation:

5/8 (8000) = 5000

1/15 (5000) = 333.33

2/3(333.33) = 222.22

evaluate x+16, when x=8

Answers

Answer:

24

Step-by-step explanation:

x + 16

8 + 16

= 24

You just plug in 8 in the x place. Hope this helps, thank you !!

i’ll click the heart please help

Answers

Answer:

The answer is just 4

Step-by-step explanation:

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the answers is 4..............

What is the area of this trapezoid?

Answers

Answer:

28

Step-by-step explanation:

add

Answer:

108

Step-by-step explanation:

a/base=12

b/base=12

h/height=9

a=[tex]\frac{a+b}{2} h[/tex]

12+12=24/2*9=108

hope this helps :) please let me know if it was wrong, have a nice day !!

what is 31 divide 8835
and 27 divide 4725
and plss show work thx :)

Answers

Answer:

8835 divided by 31 equals

285 with a remainder of 0

4725 divided by 27 equals

175 with a remainder of 0

175 with a reminder of 0


SOMEONE PLEASE ANSWER BOTH QUESTIONS ASAP THANKSS

Answers

56 and I can’t see the other one

In the figure at the right what is m < 1 if m < 3= 70 degrees

Answers

○=> Correct option :

[tex]\color{plum}\tt\bold{(D) \: 70}[/tex]

○=> Steps to derive correct option :

Angle 1 and angle 3 are vertically opposite angles.

We know that :

▪︎ Vertically opposite angles are always equal.

Which means :

Angle 1 = Angle 3

Thus, the measure of angle 3 = 70°

▪︎Therefore, the correct option is (D) 70


Find the slope of the line graphed below.

Answers

Answer:

-4/3

Step-by-step explanation:

Goes right 4 times and then down 3

How do I simplify this?

Answers

Answer:

sorry

Step-by-step explanation:

Pls helpppp I don’t know how to do this

Answers

Answer is 53911

Step-by-step explanation:

Just multiply to get the answer

Answer:

The answer is 526.5

Step-by-step explanation:

First, I separated the shapes. Then, I found the area of each shape. The area of the triangle was 149.5, and the area of the rectangle was 377. Finally, I added them together and got 526.5.

HOPE THIS HELPED!!! PLEASE VOTE BRAINLIEST!!

Find the number such that one fourth of the number is 3 more than 7.​
Find x

Answers

Answer:

40

Step-by-step explanation:

x/4 = 3+7

x = 4*10

so, x = 40.

5. Vernon drew an 8 in, wide by 5 in. tall picture that will be turned into a
48 ft wide billboard. How tall will the billboard be?
ACTICE ORIEM SOLVING​

Answers

Answer:

The billboard should be 30 feet tall

Step-by-step explanation:

Height of the picture = 5 inches

Width of the picture = 8 inches

But the billboard has a width of 48 feet = 12 x 48

                                                             = 576 inches

To know how tall the billboard is, we have to determine the scale factor required.

scale = [tex]\frac{width of billboard}{width of picture}[/tex]

scale = [tex]\frac{576}{8}[/tex]

       = 72

scale = 72

The height of the billboard = scale x 5 inches

                                     = 72 x 5 inches

                                     =  360 inches

Also,

The height of the billboard = [tex]\frac{360}{12}[/tex]

                                             = 30 feet

Therefore, the billboard would be 30 feet tall.

Does the system have one solution, no solution, or infinite
solutions?
8x - 4y = 12
y = 2x - 3

Answers

Answer: infinite solutions

Step-by-step explanation:

If you check on desmos and plugged in both equations on there, you would see that the lines are placed exactly the same/have the same points, making it infinite solutions :)

Solve the following systems of equations without graphing 5x + 10y = 30

Answers

Answer: ready dude good luck :)

Calculate the volume of this prism.
4 cm
10 cm
5 cm
8 cm
12 cm

Answers




Step-by-step explanation:
Separate into two shapes with
then use fomula length * width * height
shape 1: 7*8*10=560cm^3
Shpe 2: 5*8*6 =240cm^3
Add the two shapes 560+240=800cm^3

x
=
x=x, equals




degrees

Answers

wait what’s the equation?

Pablo is on a road trip which will cover a distance of 840 miles. He plans to break the trip up and will complete it over three days. The distances and average speeds for the first two days are shown below.Day One: 55 hours at an average speed of 66 miles per hour. Day Two: 55 hours at an average speed of 58 miles per hour. If the average speed on the third day is 55 miles per hour, how many more hours will it take for Pablo to complete his trip?

Answers

Answer: 2.87 hours

Step-by-step explanation:

There may be a typo in the question because 55 hours in a day is not logical so you must have meant 5.5 hours.

In that case, the hours he will require on the third day would require the distance left to calculate. Get this distance from the first 2 days.

Day 1 distance travelled = Time * Speed

= 5.5 * 66

= 363 miles

Day 2 distance travelled = Time * Speed

= 5.5 * 58

= 319 miles

Total distance remaining

:= 840 - 363 - 319

= 158 miles

Travelling at 55 miles per hour, the time to be taken is:

= Distance remaining / Speed

= 158 / 55

= 2.87 miles per hour

In a mixture of raisins and peanuts, 30% of the mixture is raisins and there 56 peanuts; how many raisins are in the mixture?

Answers

Answer: 24 raisins

Step-by-step explanation:

30% of the mixture are raisins which means that 70% are peanuts.

That 70% translates to 56 peanuts.

The total of the mixture is therefore:

= 56 / 70%

= 80 mixture of raisins and peanuts

Raisins are 30%:

= 30% * 80

= 24 raisins

PLX HELP!! 40 points!!! I believe it's this one..

Answers

The image is just a blank page.

1. They should leave $3.51 For a tip.

$23.40 x 0.15 = $3.51

The total amount of money they would give is $26.91; 23.40 + 3.51 = 26.91.

2.The Briarwood Middle School chess club has 55 members. 22 of the members are in seventh grade.

To convert a fraction into a percent divide the numerator by the denominator and then multiply that result with 100. We can show this formula by (Numerator/Denominator)*100.

(22/55)*100

= 40.00%

= 40%

3. 20

4. 144

5. 61.1%

6. 140

7. 62.7

8. 11.8%

Hope I helped ~Laurel

Which symbol correctly compares the mixed numbers?

Answers

Answer:

a is the answer

Step-by-step explanation:

there not equal

5(x + 9) + 53 = 14 − 6x

Answers

Answer:

x = -84/11

Step-by-step explanation:

Hope it's right

A worker's salary increases by 3.5%. If the raise amounts to $2450, how much was the worker being paid before the raise?

Answers

Answer:

644

Step-by-step explanation:

I WILL GIVE YOU BRAINLIEST, IF YOU DESIRE IT

Sally has a game piece shaped like a square pyramid. The dimensions are shown in the net.



What is the surface area of Sally's game piece?


40 cm²

56 cm²

80 cm²

96 cm²

Answers

80 cm^2 i think this your answer

Answer:

Sally has a game piece shaped like a square pyramid. The dimensions are shown in the net.

What is the surface area of Sally's game piece?

40 cm²

56 cm²correct

80 cm²

96 cm²

Step-by-step explanation:

all you do is add the sides together and you should get answer: 56

5 + 5 + 5 + 5 + 5 + 5 + 5 + 5=40   (5x8=40)

4 + 4 + 4 + 4=16  (4x4=16)

40 + 16 = 56

Answer: 56please give a 5 ratek12 100% on the quiz 4.04 Quiz: Surface Area

If a tractor trailer heading away from town traveling at 86 km/hour, brakes to a stop at an acceleration of -11.25 km/hr/s. How many seconds will it take for the tractor trailer to stop?

Answers

Answer:

185

Step-by-step explanation:

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