A person invests 9000 dollars in a bank. The bank pays 4.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 12600 dollars?
A=P(1+nr)nt

Answers

Answer 1

Answer:

The time required to get  a total amount of $ 12,600.00  from compound interest on a principal of $9000  at an interest rate of 4.75% per year  and compounded 4 times per year  is 7.1 years.

Step-by-step explanation:

Given

Principle P = 9000 dollars

Rate r = 4.75% = 0.0475

Total Amount A = 12600 dollars

compounded quarterly n = 4

To determine:

Time t = ?

Using the equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

solving the equation for 't'

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(12,600.00/9,000.00) / ( 4 × [ln(1 + 0.011875/4)] )

t = 7.1 years

Therefore, the time required to get  a total amount of $ 12,600.00  from compound interest on a principal of $9000  at an interest rate of 4.75% per year  and compounded 4 times per year  is 7.1 years.


Related Questions

What is the inverse function of

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Answer:

Step-by-step explanation:

i think its  C? dont take my word for it

An actor was paid $2.1 x 10^6 (this an exponent) to star in a movie. If the
movie was 1 hr 45 min long, what was the actor's salary
per minute? Give your answer standard form.

Answers

Answer:

Step-by-step explanation:

one hour and 45 min=60+45=105 minutes

2.1x 10^6=210x 10^4 ,  i multiplied 2.1 by 100

210 x 10^4/105=2 x10^4=20,000/min


Cards numbered 500 through 799 are placed into a box. How many of the cards satisfy both of the conditions shown below?
. The first digit of the three-digit number on the card is odd.
• The three-digit number on the card is divisible by 6.
A
50
33
25
12

Answers

Answer:

33

Step-by-step explanation:

The only feelings needed are sad and mad. Prove me wrong

Answers

Answer:

ur not wrong tho dang bcs those are like our main emotions sad and mad

You need happiness for your mental health!

Escherichia coli is a prokaryotic bacterium. How will Escherichia coli reproduce? A. binary fission B. budding C. mitosis D. regeneration?

Answers

Answer:

A. binary fission

Step-by-step explanation:

Escherichia coli is a prokaryotic bacterium. Escherichia coli reproduce asexually by binary fission. While Escherichia coli is undergoing binary division, the process starts with elongation of the cell. Two similar copies of the bacteria is then replicated followed by the formation of a septum.

What is the height of the trapezoid?
The area of the trapezoid is 40 square units.
6
h
O 3 units
O 5 units
O 10 units
O 12 units
10

Answers

Answer:

the answer is 5 I had to have 20 characters So imma put this

START

Step-by-step explanation:

its 5 units

Help please!! What is the distance between these points? (-7, 6) and (3, 6)

Y'all get 12 points if you help! :)

Answers

Answer:

10

Step-by-step explanation:

sqrt root (x2-x1)^2 + (y2-y1)^2

In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?

Answers

Answer:

77.12 feets

Step-by-step explanation:

In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?

Step one:

given data

Length of the room= 33 feets

width of the room = 69.7 feets

Required

The diagonal of the room

Step two:

from Pythagoras theorem

z^2= x^2+y^2

substitute

z^2= 33^2+ 69.7^2

z^2=1089+4858.09

z^2=5947.09

z=√5947.09

z=77.12 feets

12-10 divided by 10+17=

Answers

0.07407407 i hope this helps

which expression is equivalent to,

2/3x+(-4)(-5)=5x?

A.1-X-91

B. 3x-1

C.1X-93x

D. X + 9

Answers

I think it’s c but I’m not sure
C is the answer for this question

Simplify this expresion.

(6x^5/2x^2)^2

Answers

Answer:

9x^14

Step-by-step explanation:

PEMDAS

do whats in the parenthesis then do the ^2

Answer:

9x^6

Step-by-step explanation:

1. Cancel the common factor of 6 and 2.

---> (3x^5 / ^2)^2

2. Cancel the common factor of  x^5 and x^2.

---> (3x^3)^2

3. Simplify the expression.

---> 9x^6

What is the value of the rational expression below when xis equal to 4?
X + 20
X +4
A. 5
O B. 6
O c. 3
O D. 4

Answers

The answer is the letter c. 3

The value of the rational expression when x is equal to 4 is 3.

Option C is the correct answer.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To find the value of the rational expression (x + 20)/(x + 4) when x is equal to 4,

We substitute 4 for x in the expression:

(4 + 20)/(4 + 4)

= 24/8

= 3

Therefore,

The value of the rational expression when x is equal to 4 is 3.

Learn more about equations here:

https://brainly.com/question/17194269

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An elementary school bus comes at 8:15 am every morning to pick up children in a neighborhood. The probability that the bus will be late is 0.19 and the probability that the bus will be early is 0.02.
What is the probability that the bus will arrive early next two days?
What is the probability that the bus will arrive on time next two days?
In two or more complete sentences, explain your calculations for parts A and B. In your explanation, include their similarities and differences.

Answers

Answer:

a. .02 * .02 = .0004  

b. (1 - .02 - .19) = .79; .79*.79 = .6241

Step-by-step explanation:

The probability that the bus will arrive on time next two days is 0.79, The probability that the bus will arrive early next two days is 0.0004.

What is Probability?

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

Probability that the bus will be late is 0.19

Probability that the bus will be early is 0.02.

The probability that the bus will arrive early next two days is

= 0.02 * 0.02

=0.0004

The probability of coming early one day is small and the probability that it will come early two days in a row is smaller.

The probability that the bus will arrive on time next two days

= (1 - 0.02 -0.19) = 0.79

The probability that the bus will come on time is more as the probability of coming early or late is less.

To know more about Probability

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The side lengths of a triangle are 7, 24, and 25. Is this triangle a right triangle?

A) yes
b) no
c) not enough information ​

Answers

Answer:

yes

Step-by-step explanation:

for it to be a right triangle you should be able to add two of the sides and it be greater than the third side. 7 + 24 > 25

24 + 25 > 7

7 + 25 > 24 therefore it is indeed a right triangle

Yes. Hope this helps :)

show work please thanks

Answers

Answer:

(6,15)

Step-by-step explanation:

(x,y)

x value is 6(x goes by one)

y value is 15

(6,15) but I’m not fully sure

jim can paint 5 chairs with 11.3 gallons of paint how many chairs can he paint with 24.86 gallons​

Answers

Jim can paint 11 chairs. if 5 chairs is 11.3 then 10 chairs are 22.6 and if you want to know how much is on 24.86 you divide 11.3 with 5 because then you can add with 1 chair at a time which is 2.26 and then you add 2.26 which is exactly 24.86. 5+5+1 is 12.


5 chairs=11.3
10 chairs=22.6
11 chairs=24.86

What is the value of the expression below when y = 9 and z = 3?

10y – 7z

Answers

10(9) - 7(3)
90- 21
69

help plz will give brainliest
also it either A or D and show your work if u can

Answers

Hey... The answer is A

Which one is greater?

Answers

Answer:

top one

Step-by-step explanation:

brainliest

Answer:

the top one is bigger. always check the digit placing and exponents!

Find the values of x and y in the equation below.

HELP‼️‼️

Answers

Answer:

what are the valus of a and b

Step-by-step explanation:

Simplify: -2(-4-7b) + 10b

Answers

Answer:

8+24b

Step-by-step explanation:

Answer:

2(12b+4)

Step-by-step explanation:

-2(-7b-4)+10b : Rearrange the expression

2 : Find the greatest common factor of the terms.

-2(-7b-4)+10b : Focus on

2(7b+4+5b) : Factor out the greatest common factor

2(12b+4) : Simplify

Hope that helps

Someone help asap Ill give brainlest!

Answers

Answer:

y = -3x -2

Step-by-step explanation:

-2 is the y intercept

(46^2 + b - 2) (4b + 5)

Answers

Answer:

46^2+b-2/4b+5

2116+b-2/4b+5

=2114+b/4b+5

Step-by-step explanation:

4. Write each Radical in Simplified Form (No Decimals.)
A) V28
B) 500
C) 7162

Answers

Answer:

[tex]\sqrt{28} = 2\sqrt{7}[/tex]

[tex]\sqrt {500} = 10 \sqrt {5[/tex]

[tex]\sqrt {162} = 9 \sqrt {2[/tex]

Step-by-step explanation:

Given (Correct Parameters)

[tex]\sqrt {28[/tex]

[tex]\sqrt {500[/tex]

[tex]\sqrt {162[/tex]

Required

Express in simplified form

[tex]\sqrt {28[/tex]

Express 28 as 4 * 7

[tex]\sqrt{28} = \sqrt{4} * \sqrt{7}[/tex]

Take positive square root of 4

[tex]\sqrt{28} = 2 * \sqrt{7}[/tex]

[tex]\sqrt{28} = 2\sqrt{7}[/tex]

[tex]\sqrt {500[/tex]

Express 500 as 100 * 5

[tex]\sqrt {500} = \sqrt {100} * \sqrt {5[/tex]

Take positive square root of 100

[tex]\sqrt {500} = 10 * \sqrt {5[/tex]

[tex]\sqrt {500} = 10 \sqrt {5[/tex]

[tex]\sqrt {162[/tex]

Express 162 as 81 *2

[tex]\sqrt {162} = \sqrt {81} * \sqrt {2[/tex]

Take positive square root of 81

[tex]\sqrt {162} = 9 * \sqrt {2[/tex]

[tex]\sqrt {162} = 9 \sqrt {2[/tex]

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial.

Answers

The question is incomplete. Here is teh complete question.

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomail or trinomial.

1. [tex]7ab+6b^{2}-2a^{3}[/tex]

2. [tex]2y-5+3y^{2}[/tex]

3. [tex]3x^{2}[/tex]

4. [tex]\frac{4m}{3p}[/tex]

5. [tex]5m^{2}p^{3}+6[/tex]

6. [tex]5q^{-4}+6q[/tex]

Answer and Step-by-step explanation: The definition of polynomial is "poly" meaning many and Nominal, which means terms. So, Polynomial is an expression of constants, variables, exponents that are combined using mathematical operators: addition, subtraction, multiplication and division.

However, there are exceptions:

Polynomial don't have negative exponent;Polynomial cannot be divided by a variable;Variable cannot be inside a radical;

The degree of a polynomial is the highest exponent of that variable. For example for polynomial [tex]3x^5+6x-5x^{2}[/tex] , the degree is 5.

Polynomials have 3 different types:

monomial: only has one term;binomial: has 2 terms;trinomial: has 3 terms;

Now, analysing each expression given by the alternatives above:

1. It is a polynomial of degree 3 and trinomial.

2. It is a polynomial of degree 2 and trinomial.

3. Yes, its a polynomial of degree 2 and monomial.

4. It is not a polynomial because it is divided by a variable.

5. A polynomial of degree 5 and it's a binomial.

6. It is not a polynomial due to the exponent being negative.

Answer:

The question is incomplete. Here is the complete question.

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial or trinomial.

1.

2.

3.

4.

5.

6.

Answer and Step-by-step explanation: The definition of a polynomial is "poly" meaning many and Nominal, which means terms. So, Polynomial is an expression of constants, variables, exponents that are combined using mathematical operators: addition, subtraction, multiplication, and division.

However, there are exceptions:

Polynomial don't have negative exponent;

Polynomial cannot be divided by a variable;

Variable cannot be inside a radical;

The degree of a polynomial is the highest exponent of that variable. For example for polynomial, the degree is 5.

Polynomials have 3 different types:

monomial: only has one term;

binomial: has 2 terms;

trinomial: has 3 terms;

Now, analyzing each expression given by the alternatives above:

1. It is a polynomial of degree 3 and trinomial.

2. It is a polynomial of degree 2 and trinomial.

3. Yes, it's a polynomial of degree 2 and monomial.

4. It is not a polynomial because it is divided by a variable.

5. A polynomial of degree 5 and it's a binomial.

6. It is not a polynomial due to the exponent being negative.

Evaluate the expression below when x = 24 and y = 6.
sy

Answers

do you mean xy instead of sy if so i’m pretty sure you would just multiply both of the numbers

Find the greatest possible error for the measurement.


3.5 cm


A.
0.05 cm


B.
0.25 cm


C.
1.75 cm

Answers

Answer:

A. 0.05 cm

Step-by-step explanation:

See your answer below:

You entered the following number: 3.5 cm

The greatest possible error is 0.05 cm

Greatest Possible Error Calculator

~ W ~ h ~ i ~ c ~ h ~ s ~ t ~ a ~ t ~ e ~ m ~ e ~ n ~ t ~ m ~ u ~ s ~ t ~ b ~ e ~ c ~ o ~ r ~ r ~ e ~ c ~ t ~ ? ~
~ W~h~i~c~h~s~t~a~t~e~m~e~n~t~m~u~s~t~b~e~c~o~r~r~e~c~t~?~
~ Which~statement~must~be~correct?~
~ Which ~ statement ~ must ~ be ~ correct? ~
~Which ~ statement ~ must ~ be ~ correct?~
~Which statement must be correct?~
Which statement must be correct?

Answers

Answer:

Im lost on this one

Step-by-step explanation:

IGNORE MY ANSWERS BUT WILL SOMEONE PLEASE HELP ME!!!!!!!!!!!! 15 POINTS ON THIS QUESTION

Answers

Answer:

A=0 B=7 C=3 D=9 E=9 F=3 G=1 H=5 J=7 K=5

L=1

Step-by-step explanation:

Hope I helped!! :)

Sorry if it's wrong! :(

Pls mark brainliest if right!!!

Write the answer with the correct number of significant digits. Don't use any commas in your answer. Only use a
decimal point in your answer if it is necessary to show the correct number of significant digits.
386 x 21 =

Answers

8106 i hope this helped i didn’t put any commas
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