7400 dollars is placed in an account with an annual interest
rate of 6%. To the nearest year, how long will it take for the
account value to reach 19200 dollars?

Answers

Answer 1

Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

[tex]x^y=z\\log_xz=y[/tex]

which means that

[tex]log_{1.06}2.594=n[/tex]

Solve and get

16.362

which rounds to 17


Related Questions

What is
-5 = m + 11 ?

Answers

Answer:

-16

Step-by-step explanation:

-16+11=-5 that's it lol

Answer:

m= -16

Step-by-step explanation:

subtract 11 from both sides

-5 - 11 =m + 11 - 11

combine like terms (-5 - 11 and 11 - 11)

m= -16

What is the solution to the system of equations shown below?

Answers

Answer:

Need to see the solution

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

which where is the equation

What is the answer to 2x^4 x x^3=

Answers

Use this. It’s really good

What is the sum of the geometric sequence 1, -6, 36, ... If there are 6 terms? (1 point)

Answers

Answer:

-6665

Step-by-step explanation:

The given GP is :

1, -6, 36, ...

Number of terms = 6

The sum of n terms of a GP is given by :

[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]

Here,

a = 1, n = 6, r = 36/-6 = -6

So,

[tex]S_6=\dfrac{1((-6)^6-1)}{(-6)-1}\\\\=-6665[/tex]

So, the sum of th GP is -6665.

PLEASE HELP ME!!!
Greg said that he wrote a fraction greater than 3/12, is less than 75/100, and has 6 as a denominator. What is his fraction?

Answers

Given:

A fraction is greater than [tex]\dfrac{3}{12}[/tex], is less than [tex]\dfrac{75}{100}[/tex].

The fraction has 6 as a denominator.

To find:

The fraction value.

Solution:

Let x be the required fraction.

According to the given information, we get

[tex]\dfrac{3}{12}<x<\dfrac{75}{100}[/tex]

[tex]\dfrac{1}{4}<x<\dfrac{3}{4}[/tex]

We know that, [tex]\dfrac{1}{4}<\dfrac{2}{4}<\dfrac{3}{4}[/tex]. So,

[tex]x=\dfrac{2}{4}[/tex]

[tex]x=\dfrac{1}{2}[/tex]

We need 6 as the denominator.

Multiply the numerator and denominator by 3.

[tex]x=\dfrac{1\times 3}{2\times 3}[/tex]

[tex]x=\dfrac{3}{6}[/tex]

Therefore, the required fraction is [tex]\dfrac{3}{6}[/tex].

The fraction that Greg wrote is 3/6.

What is a fraction?

A fraction is a quantity that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below. An example of a fraction is 1/2.

What fraction did Greg write?

The first step is to express 3/12 and 75/100 in its simplest form.

3/12 = 1/4

75/100 = 3/4

The second step is to determine the difference between the fractions

3/4 - 1/4

[tex]\frac{3 - 1}{4}[/tex] = [tex]\frac{2}{4} = \frac{1}{2}[/tex]

The third step is to multiply by 3

3/6

To learn more about subtraction of fractions, please check: https://brainly.com/question/915789

. If we subtract 4a–7ab+3b+12 from 12a–9ab+5b–3,then the answer is:

Answers

8a-2ab+2b-15 is the answer

Step-by-step explanation:

Answer:

8a-16ab+2b-15, i think

Ten out of every 32 people
surveyed play Among Us.
What percent of people
surveyed play Among Us?
Please help

Answers

10 divided by 32 is 32.25
multiply 32.25 by 100
then u get 32%

Answer:

31.25%

Step-by-step explanation:

Man its the search engine

Great brushwork btw

Which of the following is the coefficient in the algebraic expression 2x+4?
А. у
B. 2
C. 4
D.

Answers

Answer:

B. 2

Step-by-step explanation:

The number next to the variable is the coefficient. So, it is 2

Answer:

B

Step-by-step explanation:

2 is the coefficient and x is the variable.

PLEASE HELP!!!!!
Solve for measure angle B.

Answers

It is 42. It is easy like the bottom one

Select all equations that have graphs with the same y-intercept. y = 3x - 8 y = 3x - 9 y = 3x + 8 y = 5x - 8 y = 2x - 8 y = ⅓x - 8

Answers

The y intercept is the one without the x with it so all the -8 ones are the same intercept

Brandy is watching a baseball game. So far, 8 out of 10 batters
have gotten a hit. What is the experimental probability that the
next batter will get a hit?

Answers

Answer:

8/10 aka 4/5 chance

Step-by-step explanation:

if 8/10 batters have hit the ball that means that the chance that the next ball is hit is 8/10, reduced its 4/5 chance or 80%

!Please Help !
Find the volume of this cylinder

Answers

Answer:

volume of cylinder= pie × radius square× height

= 22/7×4×20

=1760/7

=251.42cm

Answer:

using 3 for pi it's V = 960cm^3

Step-by-step explanation:

R is the radius, which as stated, is half the diameter.

r = 8cm / 2 = 4cm

H is the height, which is shown to be 20cm

h = 20cm

V = pi*r^2*h

V = pi*(4cm)^2*20cm

substituting 3 for pi as requested.

V = 3*(4cm)^2*20cm - 3 * (16cm^2) * 20cm = 48cm^2 * 20cm = 960cm^3

A truck is carrying mango juice and grapefruit juice bottles. The ratio of mango juice to grapefruit juice is 3:4 How many mango juice bottles are there if there are 24 grapefruit juice bottles? Write a ratio and use x as your variable.​

Answers

Answer:

18

Step-by-step explanation:

3/4 of 24 is 18.

Another way of writing it is 75% of 24 = 18

PLEASE HELP PLEASEEEEEEEEEEEEEE​

Answers

Answer

sorry it’s no the 9 shirts is wrong

Step-by-step explanation:

Answer:

No the cost of the 9 shirts is incorrect

PLS HELP ASAP 4 BRAINLIEST

Answers

Answer:

8.0<x<8.5

Step-by-step explanation:

help me with these 3 and i’ll love you forever and give you brainliest:)

Answers

Answer:

18. 5

19. 1

20. B) (0,-11)

25 POINTS // URGENT

SportsTown is having a 30%-off sale on baseball equipment. Andy finds the sale price of a baseball glove that normally costs $49 by evaluating the question
49 - 0.3(49). Juan finds the sale price by multiplying 0.7(49).
Who found the correct sale price?



GIVING BRAINLIEST to best explained answer. If you respond with an irrelevant answer I will report the your answer and it will be removed shortly afterwards.

MIDDLE SCHOOL LEVEL MATH

Answers

Answer: Thus both of them got it correct

Step-by-step explanation:

Step 1

Andy finds the sale price of a baseball glove that normally costs $49 by evaluating the question 49 - 0.3(49).

the Price will be 49-14.7=34:3

Step 2

Juan finds the sale price by multiplying 0.7(49).

0.7x 49 =34.3

Which function is linear

A. F(x) = |3x| + 4
B. F(x) = 1/3x + 4
C. F(x) = 3x - 4
D. F(x) = |3x| - 4

Answers

D is the answer you got to do

Answer:

D. F(x) = |3x| - 4

Step-by-step explanation:

Which are true statements when comparing the data in the box plots? Select three choices.
The data for elementary school are more consistent than those for middle school.
More of the data for middle school lie closer to the median than the data for elementary school.
About 50% of elementary school students watch between 4 and 7 hours of television each week.
About one-half of middle school students watch less than 2 hours of television each week.
On average, middle school students watch less television than elementary school students each week.

Answers

Answer:

A,C,E

Step-by-step explanation:

Answer:

A- The data for elementary school are more consistent than those for middle school.

C- About 50% of elementary school students watch between 4 and 7 hours of television each week.

E- On average, middle school students watch less television than elementary school students each week.

Step-by-step explanation:

Edge 2021 December 8th

PLZZZZZZZ HELLLPPP MEE HURRYRYYYYYYY AREA OF A CIRCLE PLZZ ILL MAKE YOU BRILLIANTEST PLZ HURRY!!!!!!!!! USE PIE IN YOUR ANSWER!!!!!!!!

Answers

Answer:

I think it is 15.708. sry if i am wrong

Step-by-step explanation:

Help me please What is angle

Answers

Answer:

2 = 25 degrees

Step-by-step explanation:

A right angle is 90 degrees... So, 90-65 helps you find the missing angle.

90-65=25

Angle 2=25

What is the area of this parallelogram?

A. 60 cm²

B. 66 cm²

C. 72 cm²

D. 132 cm²



PLS HELP I'LL GIVE BRAINLIST!!

Answers

Answer:

132, (D)

Step-by-step explanation:

area = base * height

= (5 + 6) * 12 = 11 * 12 = 132

Answer:

The answer is D, 132 cm^2! Brainleist pls!

PLS PLS HELP ME I HAVE 5 MINS
I WILL GIVE YOU BRAINLY!!!

Answers

4/6 = 12/18

8/10 = 16/20

2/5 = 4/10

1/4 = 4/16

Can I get brainiest please.

11. What number is 30% of 12? What are you going to solve?
a. rate
b. percentage
c. base
d. decimal​

Answers

Answer:

3.6 D. decimal

Step-by-step explanation:

In a bookcase, there are
fiction books for every 7 nonfiction books. There are 44 books in the bookcase. How many nonfiction books are in the bookcase?

Answers

Answer:

20 Books

Step-by-step explanation:

how many times larger is 4.5 times 10^6 than 4.5 times 10^4

Answers

Answer:

100 Times larger.

Step-by-step explanation:

4500000/45000=100

Can you add 4√10 and 4√6 together? If so, what is the answer?

Answers

Answer:

No, because the radicands are not the same

Step-by-step explanation:

write 2 paragraphs using function notation​

Answers

Answer:

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Step-by-step explanation:

Find value of x
I need it fastttttt​

Answers

Answer:

x=1

Step-by-step explanation:

you have to put x on one side. send -10 to the other side. Add 10 on both sides to delete 10.

7x-10+10=3x-6+10

now it leaves you with 7x=3x+4

Now you have to send 3x to the other side because you are solving for x. subtract both sides by 3x to delete 3x on the other side.

7x-3x=3x-3x+4

how it leaves you with 4x=4

now you divide both sides by 4

4/4x=4/4

Hence, x=1

Answer:

standard form: 4x - 4 = 0

factorisation: 4(x - 1) = 0

solutions: x = 4/4 = 1

therefore, x is 1

If the expression 9x + (4 – 3x) + 7is simplified completely, how many terms will the expression contain?

Answers

Answer: 2 terms

Step-by-step explanation:

There are two terms because

One is __x the other is the constant

9x + 4 - 3x + 7

6x + 4 - 7

6x - 3 has two terms

If the given mathemtical expression is simplified completely, the expression would contain 2 terms.

How to simplify the expression?

Given this expression: 9x + (4 – 3x) + 7

Remove the brackets : 9x + 4 - 3x + 7

Add similar terms: 6x + 11

To learn more about mathematical expressions, please check: https://brainly.com/question/11980704

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