Lancelot deposited $5000 each into 2 different savings accounts. Account A earns 8% simple interest. Account B earns 8% interest compounded annually. What is the sum of the balances of both accounts at the end of 6 years?

Answers

Answer 1

Answer:

$15,334.37

Step-by-step explanation:

Lancelot deposited $5000 each into 2 different savings accounts.

Step 1- For simple Interest

Amount of money in the account

Account A earns 8% simple interest.

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

A = 5000(1 + (0.08 × 6)) = 7400

A = $7,400.00

Step 2- For Compounded Interest

Account B earns 8% interest compounded annually.

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.08/1)(1)(6)

A = 5,000.00(1 + 0.08)(6)

A = $7,934.37

The sum of the balances of both accounts at the end of 6 years is calculated as:

$7,934.37 + $7,400.00

=$15,334.37


Related Questions

neeeeeed help i tried my best

Answers

Answer:

62

Step-by-step explanation:

Here,

x + 118 = 180. [Since Supplementary Angle]

=> x = 180 - 118

=> x = 62 (Ans)

Help please!!!!!!!!!!!!

Answers

Answer:

cos32= x/7

Step-by-step explanation:

When you are looking at the picture, you can see that we are given the adjacent and hypotenuse of this triangle. These are the components of cosine which is adjacent/hypotenuse. Set up the equation and you get cos32=x/7

Hope this helps! :)

Which is the better deal?​

Answers

Step-by-step explanation:

Which is the better deal?

18oz $6.60

This one is very confusing please help.

Answers

Answer:

H was (Hx,Hy) goes to (Hy,-Hx)

G was (Gx,Gy) goes to (Gy,-Gx)

I was (Ix,Iy) goes to (Iy,-Ix)

Step-by-step explanation:

Rotating about the (0,0), the distance from any point to the origin (the hypotenuse of the triangle formed) never changes. A 90 clockwise rotation moves the point to the next quadrant, so side a and side b must flip to maintain the distance. You just need to flip the coordinates and change the sign of the new Y. If you plot a few random points and use a compass to rotate them 90 I think you will find this works.


Please help me with these questions.



1. Find the surface area of a triangular prism with height
30 inches, and a right triangle base with side lengths 15 inches and 20 inches, and hypotenuse length 25 inches.

2. What is a hypotenuse length in the most simple terms that you can explain it

Answers

Hey love! <3

Answer:

1. 2100 inches^2

Step-by-step explanation:

Let's solve this together! First you have to find the lateral area.

The lateral area is the product of the perimeter of the base and the height.

The perimeter of the base is 15 in.+20 in.+25 in.=60 in... So the lateral area is 60 in.⋅30 in.=1800 in.2.

Now the base area is 12⋅20 in.⋅15 in.=150 in.2.

There are two bases, so the surface area is 1800 in.2+150 in.2+150 in.2=2100 in.2.

2. A hypotenuse is the longest side of a right-angled triangle.

Step-by-step explanation:

Hypotenuses are the side opposites of the right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides in a geometric equation.

Hope this works! (●⌒∇⌒●) Sincerely, Kelsey from Brainly.

~ #LearnWithBrainly ~

Which bacteria sample (A or B) had a smaller initial population? What was that value?

Answers

Answer:

B has a smaller initial population of 500

Step-by-step explanation:

Given

See attachment for complete question

Required

The bacteria with the smaller initial population

The initial population is at x = 0

For bacteria A;

[tex]A(x) = 600[/tex] when [tex]x = 0[/tex]

For bacteria B, we have:

[tex]B(x) = 500(2)^x[/tex]

Substitute 0 for x

[tex]B(x) = 500(2)^0[/tex]

[tex]B(x) = 500*1[/tex]

[tex]B(x) = 500[/tex]

So; when x = 0

[tex]A(x) = 600[/tex] and [tex]B(x) = 500[/tex]

Because; 500 < 600

We can conclude that B has a smaller initial population of 500

Suppose it takes you 14 hour to drive to the movie theater at a rate of 40 mph. Your friend lives closer to the movie theater than you do. Which inequality represents the distance d (in miles) that your friend lives from the movie theater?

A. d < 10

B. d > 10

C. d > 40

D. d < 160

Answers

Answer: (d)

Step-by-step explanation:

Given

It takes 14 hours with 40 mph to reach the theatre

so, the distance traveled is given by

[tex]\Rightarrow d_1=40\times 14\\\Rightarrow d_1=560\ \text{miles}[/tex]

It is given that d is the distance from theatre to friend's house

So, d must be less than [tex]d_1[/tex] i.e.

[tex]d<d_1[/tex]

So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.

Answer:

I believe you meant 1/4 instead of 14... it would be d. If you meant 14 then it would be 560 but there would be no answer choice.

Step-by-step explanation:

Hope it helps! :)

what is 5 x 5936489208456378

Answers

Answer:

2.9682446e+16

Step-by-step explanation:

I need Answer Immediately,pls!!!!!!!

Answers

Answer:

16

Step-by-step explanation:

1618.50-896.50 = 752

752÷47=16

Given the following probabilities, determine whether
the events A and B are independent or dependent.

Answers

P(a) x p(b) = 2/5 x 1/4 = 2/20 = 1/10

1/10 does not equal 1/9 so the event is dependent

The answer is B ( the second choice)

please help me
don’t put links i will report
i will mark brainlist if correct

Which of the following could be the equation of the function below
y=0.5cos(2(x-pi/2))+2 y=0.5cos(4(x+pi/2))-2 y=0.5cos(4(x+pi))+2 y=0.5cos(2(x-pi))-2

Answers

y=0.5cos(2(x-pi))-2 - I Think Usure

Answer:

y=0.5cos(2(x-pi/2))+2 y=0.5cos(4(x+pi/2)) -2

I think that's the answer.

A newspaper for a large city launches a new advertising campaign focusing on the number of digital subscriptions. The equation S(t)=31,500(1.034)^t approximates the number of digital subscriptions S as a function of t months after the launch of the advertising campaign. Determine the statements that interpret the parameters of the function S(t).

A. The newspaper had 31,500 digital subscriptions when the advertising campaign was launched.

B. The number of digital subscriptions increases by 3.4% each month.

C. The number of digital subscriptions increases by 103.4% each month.

D. The number of digital subscriptions increases by 3.4% each year.

E. The newspaper had 32,571 digital subscriptions when the advertising campaign was launched.

Answers

the answer is c. the number of digital subscriptions increases by 103.4% each month.

Answer: D. The number of digital subscriptions increases by 3.4% each year

C. the number of digital subscriptions increases by 103.4% each month.

the taxi driver charges a $4 flat fee p
+ $6 per mile for each ride Berry only has $22 to pay for taxi ride how many miles can you ride in the taxi​

Answers

Answer:

3 miles

Step-by-step explanation:

22-4 so 18 dollars left

18/6 = 3, so 3 miles

Answer:

3 miles

Step-by-step explanation:

Berry only has $22

Subtract the flat fee, $4, so 22-4=18

$18 divided by $6/mile = 3 miles

NO LINKS This probability distribution shows the
number of times a group of people takes
selfies before liking them.
0
1
2
3
4
Retakes
Frequency
27
29
18
14
12
Using this distribution, find the probability that a
person will like their selfie without any retakes.
p = [?]

Answers

Probability helps us to know the chances of an event occurring. The probability that a person will like their selfie without any retakes is 0.29.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The total number of frequencies is 100. And the frequency of not retaking any selfie is 29. Therefore, the probability that a person will like their selfie without any retakes is,

Probability = 29/100 = 0.29

Hence, the probability that a person will like their selfie without any retakes is 0.29.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ2

Gimme the answer pls it’s due today pls!!!!!!!

Answers

Answer:

[tex]\frac{33}{38}[/tex]

Step-by-step explanation:

14 basketball

19 baseball

5 neither

14 + 19 + 5 = 38

14 + 19 = 33

[tex]\frac{33}{38}[/tex]

I need help with this problem
"Solve for x
4x ≤ 12"
Please someone help me

Answers

x ≤ 3

Step-by-step explanation:

4x ≤ 12

divide each side by 4

x ≤ 3

You ran 10 blocks in 5 minutes, and you ran at a consistent speed, how long did it take to run 1 block?

Answers

Answer:

30 seconds

Step-by-step explanation:

10 ÷ 10 = 1 block

5 ÷ 10 = 0.50

0.50 of a minute is 30 seconds

Find the value of x?

​ if u get it right u get 50 brainly points

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Angles sum property.

Since the total angle is 90° , hence we get the equation as,

==> 33° + 6x + 3° = 90°

==> 36° + 6x = 90°

==> 6x = 90 - 36

==> 6x = 54°

hence, x = 54/6 = 9°

so, we get as,

==> 6x+3 ==> 6(9)+3 = 54+3 ==> 57°

Answer:

The answer to your question is --- 6x+3 --- 6(9)+3 + 54+3 --- 57°

Step-by-step explanation:

33° + 6x + 3° = 90°

36° + 6x = 90°

6x = 90 - 36

6x = 54°

x = 54/6 = 9°

I hope this helps and have a wonderful day!

To balance a seesaw, the distance a person is from the fulcrum is inversely proportional to his or her weight . Roger , who weighs 120 pounds is sitting 6 feet from the fulcrum . Ellen weighs 108 pounds . How far from the fulcrum must she sit to balance the seesaw ? Round to the nearest hundredth of a foot .

Answers

Answer:

[tex]d_e =6.67ft[/tex]

Step-by-step explanation:

From the question we are told that:

Weight of Roger [tex]W_r=120\ pounds[/tex]

Distance of Roger from fulcrum [tex]d_r=6 ft[/tex]

Weight of Ellen [tex]W_e=120\ pounds[/tex]

Generally the equation for distance-weight relationship is mathematically given by

  [tex]d\alpha \frac{1}{W}[/tex]

  [tex]\frac{d_1}{d_2} =\frac{W_2}{W_1}[/tex]

  [tex]\frac{d_r}{d_e} =\frac{W_e}{W_r}[/tex]

Therefore

 [tex]\frac{d_e}{d_r} =\frac{W_r}{W_e}[/tex]

 [tex]d_e =\frac{W_r*d_r}{W_e}[/tex]

 [tex]d_e =\frac{6*120}{108}[/tex]

 [tex]d_e =6.67ft[/tex]

Therefore the distance from the fulcrum she must sit to balance the seesaw is given as

[tex]d_e =6.67ft[/tex]

Question is in the attachment!!

Answers

Answer:

1.256 cm²

Step-by-step explanation:

2πr

0.4 ÷ 2 = 0.2

2 × 3.14 × 0.2

1.256 cm²

Solve for x.

-12 < -3x - 15 ≤ 36

Enter your answer, as one inequality, in the box

Thank you! :)

Answers

Inequality Form:

−17 ≤ x < -1

Interval Notation:

[ -17, -1 )

Name the orperation you should perform first. i need help pls and thank you!!

Answers

Answer:

For the first one on the left, you need to evaluate the expressions inside the parenthesis. For Question number 6, evaluate the exponent first.

Step-by-step explanation:

Think of PEMDAS, order of operations.

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

mason made 5 quarts of salsa which of the following can be used to find the number of cups of salsa mason made

Answers

Answer:

I think its 20 cups, it doesn’t have a link for ‘the following’

probably not right I’m dum

PLEASE SOLVE FOR ME <3
NO SPAM OR RANDOM ANSWERS INCLUDING LINKS. :/ I RLLY NEED THIS.

Question:
At the dance, soft drinks were 4 for $2.20 this use relationship to fill in the table.

A.) fill in the table:
# of drinks: 1 2 3 4
Princes ($) | | | | |

B.) why is the constant of proportionality?

C.) if you were to buy 22 soft drinks, how much would it cost?


THANK YOU TO WHOEVER ACTUALLY SOLVES THIS <333 :) HAVE A NICE DAY!

Answers

Answer:

A)

1 | 0.55

2| 1.1

3| 1.65

4| 2.2

B)

because both the number of drinks and the prices are increasing

C)

12.1

DESMOS Tetris translation
someone please helpppp

Answers

Answer:

I think it's (x+16, y)

Step-by-step explanation:

25 > x-5 steps too pls <3

Answers

Answer:

25>x-5 = x anything less than 30

Step-by-step explanation:

first add 5 to both sides

then u get 30.

30-5 is 25

so, you know that x must be any number less than 30 that is not 0

Answer:

x < 30

Step-by-step explanation:

[tex]25>x-5\\\\25+5>x-5+5\\\\{30>x}\\\\\boxed{x<30}[/tex]

Hope this helps.

A recipe calls for 1/3 cup of sugar for every 1/2 teaspoon of vanilla. What is the unit rate per teaspoon? Remember to divide to find unit rate. Unit rate is the value of one item per something.

Answers

Answer:

0.6 I think ........................

very
The probability of drawing a blue
marble from a bag containing
these marbles is į
If you replace the marble each time,
predict how many times a blue marble
will be chosen out of 50 draws.
[?] times
Enter

Answers

Answer:

25 times

Step-by-step explanation:

From the question:

Number of :

Yellow = 2

Red = 3

Blue = 5

P(blue) = required outcome / Total possible outcomes = 5/ 10 = 1/2

If marble is drawn with replacement :

Number of times a blue marble is drawn from 50 trials :

P(blue marble) * 50

1/2 * 50

= 25 times

Mia hired a moving company. The company charged $50l for services, and Mia gives the movers a16% tip how much does Mia tip the movers?

Answers

Answer:

$8

Step-by-step explanation:

We are told in the above question:

Mia hired a moving company. The company charged $50l for services, and Mia gives the movers 16% tip

The amount of money that Mia tips the movers is calculated as:

16% of $50

16% × $50

16/100 × $50

= $8

Therefore, Mia tips the movers $8

Solve the system by substitution

Answers

Answer:

Hi! The answer to your question is (2,-8)

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

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