You invest $125,000 in an account that earns 4.75% annual
interest, compounded continuously.
a. What is the value of the account after 15 years?

Answers

Answer 1

Step-by-step explanation:

step 1. let's call the amount of money A, the initial amount A¡, the rate r, and the time t.

step 2. A = A¡e^(rt) (continuously compounding equation)

step 3. A = 125000e^((.0475)(15))

step 4. A = $254,885.32

Answer 2

The value of the account after 15 years will be $254885.


What is compound interest?

In theory, continuously compounded interest means that an account balance is constantly earning interest and reinvesting that interest so that it, too, earns interest.p explanation.

In finance and economics, interest is the payment of an amount above the repayment of the principal sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or depositor.

Given that you invest $125,000 in an account that earns 4.75% annually for 15 years of the time.

The compound interest will be calculated as:-

[tex]P(t) = P_o\times e^{rt}\\P(t) = 1250000\times e^{0.0475\times 15}[/tex]

P(t) = $254885

Hence, the value of the account after 15 years will be $254885.

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Related Questions

3.3.3.3.3^2
Write the expression as a single power

Answers

Answer:

I think

Step-by-step explanation:

I think its 3 ^7 but i could be wronf

1/6 + 3/4 = how many units

Answers

Answer:

[tex]\frac{11}{12}[/tex]

Step-by-step explanation:

hope this helps sorry if incorrect have a good rest of your day

Answer:

22/24, but simplified is 11/12

Step-by-step explanation:

. El equipo logístico de una empresa marítima ha comprado un nuevo buque. En
ciones técnicas se establece que el volumen máximo desplazado por el buque con máxima car-
ga es de 70,000 mº de agua salada cuya densidad es de 1027 kg/m². ¿Cuántas toneladas puede
transportar el buque si su peso sin carga es de 20,000 toneladas?​

Answers

Answer:

idontkn oww  atyou rsayin g

h

Step-by-step explanation:

Multiplying by 1.19 is the same as increasing by
%

Answers

Answer:

19%

Step-by-step explanation:

If you mulityply by 1.19 you are giving a result of 119%, thus you either multiply by 1.19 or divide first by 100 and then multiply by 119.

The answer is 19% mabye

Find the measure of MN. please help!!!!

Answers

Given:

A circle with center O.

[tex]m\angle MOP=45^\circ, m\angle PON=85^\circ[/tex].

To find:

The measure of arc MN.

Solution:

We know that,

[tex]m\angle MON=m\angle MOP+m\angle PON[/tex]

[tex]m\angle MON=45^\circ+85^\circ[/tex]

[tex]m\angle MON=130^\circ[/tex]

The central angles in equal to the measure of the corresponding arc.

[tex]Arc(MN)=m\angle MON[/tex]

[tex]Arc(MN)=130^\circ[/tex]

Therefore, the measure of arc MN is 130 degrees.

pleaseeeeee someone help i'm in tears

Answers

Answer:

the correct answer is 6

Step-by-step explanation:

only reasonable answer

Is this a function?

Answers

i think it is!

there are no points that are in the same x unit!

hope this help! :(

Write an equivalent expression to 1/2 ( 50 x - 10) by using distributive property

Answers

Answer:

25x-5

Step-by-step explanation:

(3) GEOMETRY IMAGE BELOW. 20 POINTS!!

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer of this question.

the length of the mid segment was 42 option A

( previous question ) according to me and it is right so please recheck your previous answer as it was option A not D

hope this will be helpful to you.

and mark my answer as brainlist plzzzz.

the answer above is correct it’s option D

Can someone help me? I don’t have much time.

According to the synthetic division below, which of the following statements are true? Check all that apply.

Answers

I'm pretty sure it's D and E...but if I'm wrong sorry.

um. i just need help with this! so if anyone knows help me plz <3

Answers

Answer:

Last one

Step-by-step explanation:

You can simplify the first one or compare both of them if they have the same ratios! Hope this helps <3

Answer:

The last one

Step-by-step explanation:

Simplify and your answer is there! Like Magic! :P

Hope that helps!

What’s the value of x

Answers

Answer:

C. x=42

Step-by-step explanation:

16 + 3x + y = 180

126 + 16 + y = 180

y = 38

16 + 3x + 38 = 180

54 + 3x = 180

3x = 126

x=42

15 feet by 120 inches area

Answers

Answer:

21600 In.

Step-by-step explanation:

First, turn 15 feet into inches

15*12 is 180

then do 120*180 which equals 21600 In.

Factor the expression using the GCF 7+14

Answers

Answer:

We found the factors and prime factorization of 7 and 14. The biggest common factor number is the GCF number. So the greatest common factor 7 and 14 is 7.

Step-by-step explanation:

The value of the Expression 7+ 14  using the GCF is 21.

What is Greatest Common Factor?

The largest factor that splits both numbers is said to be the greatest common factor. List the prime factors of each integer before calculating the greatest common factor. One 2 and one 3 are shared by those aged 18 and 24. The GCF of 18 and 24 is 2 * 3 = 6, which we multiply to obtain.

Given:

We have to add 7  + 14

Factorise the terms separately

7 = 7 x 1

14 = 7 x 2

So, the Greatest Common Factor is 7.

Thus, 7+ 14 = 7(1+ 2) = 7 x 3= 21

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What kind of sequence is this? 52, 39, 26, 13, ...

Answers

It’s an arithmetic sequence. They subtract 13 each time

Please help me! What does X equal?

Answers

Answer:

x = 75

Step-by-step explanation:

X = 180 - 78 - 27 = 75

Answer:

The answer is 75

Step-by-step explanation:

I got this answer because i added 78 and 27 then i subtracted it from 180 because that was the interior angle of a triangle and i got 75.

Help please will give brainliest

Answers

Answer:

the first one

Step-by-step explanation:

have a great day

In triangle GHJ, mH = 85° and mG = 60°.

Choose the correct symbol to put in the blank.

HJ ___ JG

<
=
>

Answers

Answer:  The correct symbol is '<'.

Step-by-step explanation:

Given: In triangle GHJ

[tex]m\angle H=85^{\circ}[/tex] and [tex]m\angle G=60^{\circ}[/tex]

Here angle H is opposite to side JG and angle G is opposite to side HJ

We know that,

The side opposite to the greater angle of a triangle is greater.

Since [tex]m\angle H> m\angle G[/tex]

Then, JG > HJ

Hence, HJ     <       JG

how to write 13.208 in word form

Answers

Thirteen point two hundred eight thousandths

1. At a specific time of day, a flagpole has a shadow 40 ft long, at the same time of day
Jose who is 6 ft tall has a shadow of 8ft long. Find the height of the flagpole to the
nearest tenth of a foot if needed.

Answers

Answer: x= 30 ft tall

Explanation: you know the lengths of both shadows so therefore you put 40 over 8 (like a fraction) and then you need to find out height of the flagpole, but you do know the height of Jose so therefore you put x over 6 right next to 40 over 8. Then you cross multiply 40 x 6= 240 and then you change the x into 8. So NOW you then divide your answer from 40 x 6 (240) by 8 and then you get your answer which is X = 30 ft tall

Which function represents exponential growth?
a. f(x) = 3x
b. f(x) = x3
c. f(x) = x + 3
d. f(x) = 3x
FIRST PERSON TO ANSWER IS THE BRAINLIEST!!!!
PLEASE GIVE EXPLANATION OF HOW!!

Answers

Answer:

Either A or D, but the answer is [tex]f(x) = 3^x[/tex].

Step-by-step explanation:

We can check for exponential growth by checking for an [tex]x[/tex] in the exponent of a constant value in the function, which is this case for [tex]f(x) = 3^x[/tex].

f(x) = x + 3 function represents exponential growth. So the correct option is option is c.

An exponential function is a arithmetic function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is know the base of the function and it will be greater than 0.

An exponential function is explain by the formula f(x) = ax, where the input variable x take place as an exponent.

The exponential curve turn on the exponential function and it depends on the value of the x.

The exponential function is an main arithmetic function which is of the form

f(x) = ax

Exponential Growth

In Exponential Growth, the quantity grow very slowly at first, and then quickly. The rate of change growth over time. The rate of growth becomes faster as time passes. The quick growth is meant to be an “exponential increase”. The formula to explain the exponential growth is:

y = a ( 1+ r )x

Where r is the growth percentage.

Therefore, f(x) = x + 3 is a function represents exponential growth.

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How do you simplify 4ab + 13bc

Answers

Answer:

you cant

Step-by-step explanation:

its already simplified from the way its written

b(4a + 13c) is the simplified form of the expression 4ab + 13bc  

To simplify the expression 4ab + 13bc, we can factor out the common term "b" from both terms:

4ab + 13bc = b(4a + 13c)

By factoring out the common term "b", we obtain the simplified form b(4a + 13c).

This represents the original expression in a more concise and factored form.

Hence, the simplified form of the expression 4ab + 13bc  is  b(4a + 13c) by taking the common term b

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Rondell covered a table top with 36 square tiles. Each tile measures 8 inches by 8 inches. What is the area of the table top?

Answers

8x8 = 64 sq in per tile

64sq in x 36 tiles = 2,304 square inches

Answer: 2,304 square inches

Step-by-step explanation:

if there are 36 total tiles on the table, that means there are 6 on each side.

If each side meaures 8, then one side of the table is 48, and since the tikes are square, the other side of the table will be the same. 48 x 48=2,304

Find the volume of the cone. Round your answer to the nearest tenth

Answers

Answer:

[tex]vol.\: of \: cone \\ = \frac{1}{2} \times \frac{22}{7} \times 4 \times 4 \times 8 \\ = \frac{11 \times 16 \times 8}{7} \\ = 1408 \\ = 201.14 \\ = 201.1[/tex]

200:40 simplest form

Answers

5:1

Hope this helps:)

Answer:

5:1

Step-by-step explanation:

Divide by 40

Calculate the value of each expression

(-8) × 2/3=?

(-8)× (-2/3)=?

-18/3=?

18/(-3)=?

(-18)/(-3)=?

Answers

Answer:

1)-8×2/3

=-24×2/3

=-48/3

=-16

2)(-8)x(-2/3)

=-24×-2/3

=48/3

=16

3)-18/3

=-6

4)18/-3

=-6

5)-18/-3

=6

A triangle has angle measurements of 90°, 79, and 11° What kind of triangle is it?
acute
right
obtuse

Answers

Answer:

Right

Step-by-step explanation:

There is a side that is 90 degress

Some number added to -12 is 36. Add this number to -15. Then multiply this
number by 2. What is the final number?

Answers

x-12=36
x=48
48-15=33
33 times 2 is 66

which similarity postulate or theorem let’s you conclude that JKL = MNO?

- AA
- SSS
- SAS

Answers

The answer is angle angle

*HELP ASAP I CAN ONLY DO THIS ONE TIME OR ILL FAIL*

Answers

Answer:

A

Step-by-step explanation:

V= BxHxL divided by 2

6x9x21= 1,134

divided by 2 equals 567yd

Answer:

A) 567 yd^3

Step-by-step explanation:

If you need help with formulas you could always look them up. Like triangular prism volume formula

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