Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. Find your savings account balance on January 1 of the next year.
and
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. How much interest did you earn for these nine months?

Answers

Answer 1

Answer:

The interest earned in 9 months is $25.45284

Step-by-step explanation:

The interest rate given by the bank = 4%

The rate at which the interest is applied = Quarterly

The amount of money deposited = $840

The formula for compound interest is given as follows;

[tex]Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ][/tex]

Where;

P = The principal = $840

r = The rate = 4% = 0.04

n = The number of times the interest is compounded per period  = quarterly = 4

t = The time duration in period = 9 months = 3/4 × 1 year

Substituting the values gives the Compound interest C.I. as follows;

[tex]C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284[/tex]

The interest earned in 9 months = $25.45284.


Related Questions

What is the sum of:
-11.5 (3.2) =
Please answer

Answers

Answer:

Step-by-step explanation:

you multily the negative by the positive and get a negative answer so -36.8

Rewrite the expression 16 + 32 as the product of the greatest common factor and the sum of the remaining numbers. Group of answer choices 2(8 + 16) 8(2 + 4) 4(4 + 8) 16(1 + 2)

please help and the question is in the docs

Answers

Answer:

sfuc,k u

Step-by-step explanation:

HURRYYYYYYY PLS BEFORE 11:59


The choices are

A. 35



B. 145

C. 55


D. 75

Answers

Answer:

Pretty sure it is A.

Step-by-step explanation:

m4 is equal to m8 because they are same side interior angles and so you set the 2 equations equal to each other to find x. Then plug it in.

Answer:

i think 75

Step-by-step explanation:

sorry if wrong

A track team has 4 runners on a relay team. If by coincidence each runner takes an average of 45.48 seconds to complete her leg of the relay, what is the total time to run the relay?

Answers

Answer:

181.92 seconds

Step-by-step explanation:

We are given that,

Time taken by each person in the team = 45.48 seconds

Number of members in the team = 4

It is required to find the total time taken by the team to finish the race.

Thus, the time taken taken = 4 × 45.48 = 181.92 seconds

Hence. the team finished the race in 72.4 seconds.

Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards.​

Answers

Answer:

P=0.0000037

P=0.00037%

Step-by-step explanation:

Probability

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

[tex]\displaystyle \frac{4}{52}=\frac{1}{13}[/tex]

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

[tex]\displaystyle \frac{3}{51}=\frac{1}{17}[/tex]

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

[tex]\displaystyle \frac{2}{50}=\frac{1}{25}[/tex]

Finally, the probability of getting the remaining ace out of the 49 cards is:

[tex]\displaystyle \frac{1}{49}[/tex]

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

[tex]\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}[/tex]

[tex]\displaystyle P= \frac{1}{270,725}[/tex]

P=0.0000037

P=0.00037%

Which region represents the solution to the given system of inequalities?

Answers

Answer:

The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

Answer:

Region A

Step-by-step explanation:

y<-1/2x

y greater than or equal to 2x+3

Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?

Answers

Answer:

$58.33

Step-by-step explanation:

Set up a proportion where x is the amount she makes for 7 hours:

[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]

Cross multiply and solve for x:

3x = 175

x = 58.33

So, after working for 7 hours, she will make $58.33

Answer:

About 60-65$

Step-by-step explanation:

Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3

the ratio of two supplementary angles is 3:6. what is the measure of the smaller angle?

10, 20, 30, or 60?

Answers

Answer:

it's so hard bro I can't anser

PLEAZZZZZZZZZZZ HELPPPPPPP will mark brainlist

The table compares the main course and the side dish each person in Hiroki's family ordered at a restaurant.
Can the side dish be represented as a function of the main course?
Main course Side dish
Pasta primavera Salad
Fish Rice
Burger Potato chips
Fish Rice
Veggie burger Salad
Burger Potato chips
Pasta primavera Salad
Burrito Rice

Answer Choices
Yes (A)
or No (B)

Answers

Answer:

I know I'm late but the answer is yes!

Step-by-step explanation:

I got it correct on Khan academy:)

Answer:

Yes

Step-by-step explanation:

Khan academy:

Is 9% of 998 pages less or larger HURRYYYYYYYY

Answers

Less than, Have Ah Good Day

Answer:

less that is it have good day

Mr. Moore has 5 1/4 pounds of dry fish food. He will be putting an equal amount of food into 3 containers. How much fish food will be in each container?

Answers

5 and 1/4 can be 5.25 so all you have to do is divide that by 3 and you’ll get 1.75 per container.

If you wanted to keep it as a fraction, 5 and 1/4 would become 21/4 (you do 5 x 4= 20 + 1) and for fractions I always remembered dividing as ‘Keep, Change, Flip’ so you would do 21/4 for keep. Change would be to change the sign from division to multiplication. And for Flip you would flip 3 over 1 (3/1) to 1/3

Putting that all together would be 21/4 x 1/3 which also equals 21/12 by multiplying the denominators and numerators. Then you simplify, dividing it by 3 to equal 7/4 and another simplify to be 1 and 3/4 which is 1.75.


Hope this helps!

Naomi can run 12 miles in 108 minutes. She is thinking about running in two different races, a 9-mile race and a 13-mile race. At her current rate, how many more minutes will it take her to complete the 13-mile race than the 9-mile race?

$______
PLEASE HELP I"LL GIVE BRAINLEST DUE AT 11:59

Answers

Answer:

36

Step-by-step explanation:

It takes her 9 minutes to run one mile

9*9=81

13*9=117

117-81=36

Hope this helps! :)

Which choices are equivalent to the fraction below? Check all that apply.
18/36

1.6/18
2.8/18
3.1/3
4.1/2
5.3/4
6.6/12

Answers

None of the following are equivalent

If a restaurant charges $9.90 for 2 sandwiches, how much will the restaurant charge for 15 sandwiches?

Answers

they will charge 74.25

Expand.
Your answer should be a polynomial in standard form.
(3b-4)(b+2)=

Answers

Answer:

3b^2 +2b -8

Step-by-step explanation:

Answer:

[tex]3b^2+2b-8[/tex]

Step-by-step explanation:

Find the value of g when 59+ 12 equals 29 + 18.

Answers

Answer:

i dont know if you typed this correctly but 59+12=29+18 is false

Step-by-step explanation:

i know if what your looking for but o well  

Ten less than seven times a number is twenty three.

Answers

Answer:

I believe the number is 4.7

i think it’s 10-7x=23

A sofa is on sale for 32% off. The sale price is $527.
What is the regular price?

Answers

Answer:

$1646.875

I hope this helps!

Which statement about rigid transformations is true?

A.
A rigid transformation preserves only the side lengths of a polygon.

B.
A rigid transformation preserves only the angle measures of a polygon.

C.
A rigid transformation preserves both the side lengths and the angle measures of a polygon.

D.
A rigid transformation preserves neither the side l

Answers

Answer:

The answer is B because it is only the measure of the polygon

A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank

Answers

Answer:

it would be 0.64

Step-by-step explanation:

3 (3w − 4) = −20
Solve for w, please

Answers

Answer:

[tex]\boxed {x = -\frac{8}{9}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]w[/tex]:

[tex]3(3w - 4) = -20[/tex]

-Use Distributive Property:

[tex]3(3w - 4) = -20[/tex]

[tex]9w - 12= -20[/tex]

-Add both sides by [tex]12[/tex]:

[tex]9w - 12 + 12 = -20 + 12[/tex]

[tex]9w = -8[/tex]

-Divide both sides by [tex]9[/tex]:

[tex]\frac{9w}{9} = \frac{-8}{9}[/tex]

[tex]\boxed {x = -\frac{8}{9}}[/tex]

Therefore, the value of [tex]w[/tex] is [tex]-\frac{8}{9}[/tex].

Hey having trouble the answer is -8/9 have a great day

PLEASE HELP DUE SOON!!!
Jordan is mowing lawns to save money for the Camp Rodeo Field Trip. The total cost for the excursions, travel, and food will be $130. Jordan has already saved $50. Which of the following equations represents how much more money Jordan needs to save in order to go on the field trip?

A. x + 50 = 130

B. x - 50 = 130

C. x - 130 = 50

D. x = 50 + 130

Answers

Answer:

X + 50 = 130

Step-by-step explanation:

This is actually a subtraction equation although addition is how you set it up initially. X is the variable. You already have $50. You need $130.

To solve, subtract 50 from each side,

X + 50 - 50 = 130 - 50, and simplify,

X = 120.

Jordan will need $120 more to go to the Camp Rodeo Field Trip.

Hope this helps.

There are 30 students Ms. Washington’s class. Sixteen of the students are in band. What percent of Ms. Washington’s class is in band?

Answers

Answer: 53.33

Step-by-step explanation:

Which could be the first step in solving the equation represented by the model below?

A. Add 4 negative unit tiles to both sides.
B. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
C. Add 4 positive unit tiles to both sides.
D. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.

Answers

Answer: A. Add 4 negative unit tiles to both sides.

Step-by-step explanation: Hope this helps

the cytlindrical part of an architectrual column has height of 325cm and a diameter of 30cm. Find the volume of the cytlindrical part of the column. use 3.14 and round your answer to the nearest cubic centimeters if needed

Answers

229612.5 cm
To find the volume of a cylinder you have to use this equation V= (3.14)r^2h The (r) representing the radius and the (h) of representing the height It’s and to find Radius from diameter you have to find half of the diameter.

Answer:

Step-by-step explanation:

229,613 cm ^3 took test.

answer question for brainliest

The table shows the listed sale price for bottled water at four stores.


Which store charges the LEAST amount per bottle of water?

Store 1 Store 2 Store 3 Store 4
Three 12 packs One 12 pack Four 6 packs One 6 pack
$10.49 $3.89 $7.99 $2.29
A
Store 1

B
Store 2

C
Store 3

D
Store 4

Answers

Answer:

I believe it d I'm sorry if it wrong but if I'm right mark brainlyest please

(x-3)2 = 4x
Which of the following is a value of x that satisfies the equation above?

Answers

Answer:

x=-3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

2(x - 3) = 4x

2x - 6 = 4x

2x - 4x = 6

-2x = 6

x = -3

I hope this helps you :)

Whats 2 & 1/2 divided by 3 & 1/3

A = 3/5

B = 3/4

C = 4/10

D= 15/12

help pls 25 points

Answers

Answer:

B = 3/4

Step-by-step explanation:

2 1/2 / 3 1/3

can be written as 5/2 divided by 10/3. I always use keep, switch, flip technique with fractions. keep 5/2 switch the division to multiplication, flip the 10/3 to 3/10

5/2 x 3/10 cross multiply

15/20 = 3/4

Answer:

It would be B. 3/4

Step-by-step explanation:

You turn the mixed numbers into improper fractions then you divide by using the reciprocal of the 3 & 1/3. This will leave you into the equation "5/2 * 3/10"

When multiplied, you will get "15/20" which simplifies to "3/4"

If the pattern continues, how many stars will be in the Stage 15 figure?

Answers

Answer:

There would be 45 stars in a stage 15 patteren

What is the rate of change of (-3,7) and (5,-9)

Answers

Answer: sorry wish I could help

Step-by-step explanation:

Other Questions
Jason needs to save at least $200 by the end of the summer. He already has $40, and he has 8 weeks to save. Which inequality can he use to decide how much he needs to save each week? to make a prediction about a text the first step is to KUES Questions8. A water wave has a frequency of 2 Hz and a wavelength of5 m. How fast does it travel through the water? whats the answer please asap i give a lot of points :) PLEASE HELP ME!!! ASAP!! ITS ALMOST DUE!! PLEASE HELP ASAP!! Name the characters that helped defeat Maeve in the Kingdom of Ash book, by Sarah J. Maas. You will get brainliest. How does deforestation affect coral reefs? song suggestions anyone? do you know any songs similar to decapitation by piri and raisuke? PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:(( How does the author BEST help the reader understand the connection between points and lines?A. by showing how a point is part of a line B. by showing how a point is smaller than a lineC.by showing that point is thicker than a lineD.by showing that point must cross through a line The use of the word bureauize is the authors own ________. Which of the following questions below can be answered using the sum -12+10 Why does the author use a problem-solution text structure in the paragraph? A)to help the reader understand how the fuel system on a spacecraft works B)to help the reader understand the difficult decisions faced by Mission Control C)to help the reader understand the differences between the two astronauts D)to help the reader understand how the countrys space program got started the pic is my answer. try to be fast with it. Imagine that you are assisting a under age (minor) transgender patient who has arrived with there family. The family is trying to complete the necessary billing and insurance paperwork, so that their child can have some required surgery. The family is upset because they are required to identify a specific gender on the forms. More and more of the staff have become involved as an answer is tried to be found. The child is becoming more distressed and the family is loudly and verbally expressing more and more concern over the situation as more staff have become aware of "this private matter. Describe at least 4 appropriate ways to verbally address the concerns of the family in regard to the other staff. Describe at least 4 specific things (actions) that you can do to show empathy towards the patient and their family and show that you are an advocate for them. What are the intercepts for the equation? Select all that apply. x + y = 4 *(-4, 0)(0, -4)(0, 4)(4, 0) The book was read by Kayla. A. ActiveB. Passive Rachel finished 3/4 of the race in 6 hours. How long was the entire race? The triangles are congruent by SSS. Triangles J K L and M K L share side K L. Sides J K, K M, M L, and L J are congruent. Which transformation(s) can be used to map one triangle onto the other? Select two options. reflection only translation only dilation, then translation rotation, then translation rotation then dilation A tiny piece of sand is very light but sinks in water. This is because Group of answer choicessand is a solid.sand is less dense than water.sand is more dense than water.there is more water than sand.