Melanie invested $3800 in an account paying in interest rate of 2 3/8% compounded quarterly Sebastian invested $3800 in an account paying in interest rate of 2 3/4% compounded monthly after 16 years how much more money with Sebastian have in his account then Melanie to the nearest dollar

Answers

Answer 1

Answer:

$317

Step-by-step explanation:

Formula for compound interest is;

A = P(1 + (r/n))^(nt)

For melanie;

P = $3800

r = 2⅜% = 0.02375

n = 12/4 = 3

t = 16 years

Thus;

A = 3800(1 + (0.02375/3))^(3 × 16))

A ≈ $5548

For Sébastien;

P = $3800

r = 2¾% = 0.0275

n = 12

t = 16

Thus;

A = 3800(1 + (0.0275/12))^(12 × 16))

A ≈ 5865

Difference between Sébastien and Melanie's final amount = $5865 - $5548 = $317


Related Questions

Josiah scored three less than twice as
many points as A'Darryl in a recent
basketball game.
If Josiah scored 9 points, how many points
did A'Darryl score?

Answers

A’Darryl scored 6 points.

3 less than:

9+3=12

Twice as many points:

12/2=6

If Josiah scored 9 points, A’Darryl scored 6 points.

There are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you'll be a magic elf?

Answers

Answer:

The probability that I pick a magic elf is 6.66%.

Step-by-step explanation:

Since there are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from, if I randomly choose my character and tool, to determine what is the probability that I'll be a magic elf, the following calculation must be performed:

1/3 x 1/5 = X

0.3333 x 0.2 = X

0.0666 = X

0.0666 = 6.66%

Therefore, the probability that I pick a magic elf is 6.66%.

Dan and David are marking exam papers. Each set takes Dan 35 minutes and David 1 hour. Express the time's Dan and David take as a ratio.
Give your answer in its simplest form.

Answers

Answer:

7 : 12

Step-by-step explanation:

35 : 60 cuz 60 mins is an  hour

7 : 12

Please help ASAP (NO LINKS)
An import business owner paid $6000 for the goods sold in one month. Her additional expenses are $1600 per month. If she marks up her merchandise 70%, what was her profit for the month?

Answers

Answer:

the answer is $2,600 I belive so

A credit card company advertises an APR of 17.2%, compounded daily. What is the effective interest rate

Answers

Answer:

18.76%

Step-by-step explanation:

effective interest rate = ( 1 + periodic interest rate)^m - 1

m = number of compounding = 365

Periodic interest rate = APR / number of compounding = 17.2 / 365 = 0.0471% = 0.000471

(1 + 0.000471) ^365 - 1 = 18.76%

What is the Slope in the equation y= -2x +5

Answers

Answer:

-2

Step-by-step explanation:

y=-2x+5

y=mx+b where m=slope and b=y-intercept

The answer is -2 hope this helps



125
21


Find the value of the missing angle

Answers

Exterior angle = the sum of the two included interior angle
125+21= 146

Answer:

146°.................plz mark me brainliest

Find the volume of the figure. A) 288 cm^3 B) 480 cm^3 C) 544 cm^3 D) 640 cm^3​

Answers

Answer:

Step-by-step explanation:

7680 i think

Volume = area of the base x height

Volume of figure1=(4x4)x 10
=160

Volume of figure2= (8x4) x 4
=128
Total volume= 160+ 128=288

Jillian is making curtains for her room. She has fabric for each curtain that is 1.6 meters in length. She folds the bottom of the fabric up to make each curtain 8 centimeters shorter. How long is each curtain after Jillian has shortened them.

Answers

8cm = ? meters

8/100= 0.08meters

1.6m-0.08m= 1.52m

Answer: Each curtain is 1.52 meters after Jillian has shortened them.

Which congruency theorem can be used to prove
that AABDADCA?
B
O SSS
OASA
OSAS
0 AAS

Answers

Answer:

SAS

Step-by-step explanation:

Given: Two triangles ΔABD and ΔDCA,  

We have, AD=AD (normal)  

∠A=∠A (Given)  

BA=CD (Sides inverse to rise to points are consistently equivalent)  

With the SAS rule of congruency,  

ΔABD≅ΔDCA

Brainliest?

Please answer question!

Answers

Answer:

23ft

Step-by-step explanation:

I had $13 My mom gave me $10 my dad gave me $30 My aunt my uncle and my grandma gave me $100 I had another seven dollars how much did I have

free brainlest To first person pls
4 x (9 - 2)

Answers

That answer will be 28

Answer:

=28x

Step-by-step explanation:

Solve within parenthesis first;

Subtract 9-2=7

=4*7x

Multiply the numbers;

4*7=28

=28x

what is the coefficient of 49n+986=-43

Answers

Answer: 49

Step-by-step explanation: A coefficient is the number placed in front of the variable, meaning n is the unknown number, aka variable. Making 49 the coefficient to that variable.

Hope this helps ^^

Answer:

49

Step-by-step explanation:

A coefficient is the numerical or constant quantity placed before or multiplied by a variable.

A bag contains 4 blue marbles, 3 white marbles, and 2 pink marbles. What is the probability of NOT drawing a white marble?

Answers

Answer:

2/3

Step-by-step explanation:

Total marbles:

4 + 3 + 2 = 9

Non-white marbles:

4 + 2 = 6

Probability of not drawing a white marble:

6/9

2/3

Answer:

6/9

Step-by-step explanation:

n=numerator

d=denominator

b=blue

p=pink

w=white

m=marbles

What we know:

4 bm

2pm

3 wm

what we need to know:

we need to know the denominator (all the numbers added up) and the numerator (the marbles that aren't white marbles).

work:

n= 4+2=6

d= 4+3+2=9

so it is 6/9

Can I please have Brainliest?

Use the GCF to factor: 24x + 12y

Answers

it slows would be y+2x=

Answer:

36xy

Step-by-step explanation:

ercise 5d
lve the following
lutions.
13 - 6a = 1


Answers

Answer:

the answer is 17a

Step-by-step explanation:

I took the quiz

The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the
mean

Answers

Answer:

$16

Step-by-step explanation:

Find the mean by adding all of the costs, and dividing it by 6, since there are 6 CDs

(12 + 13 + 20 + 20 + 12.5 + 18.5) / 6

96 / 6

= 16

So, the mean is $16

Can someone please help me?? I have a huge test coming up and I need to review for it. Do you know the answer? If you do, please explain it because i want to be sure the day of the test. Thanks!! 25 Points!!

Answers

Answer:

Easy way is completing a square:

x² + 20x - 39 = 10x² + 2*x*10 + 100 = 49 + 100(x + 10)² = 149x + 10 = ± √149x = - 10 ± √149

Correct choice is J

Devon’s tennis coach says that 72% of Devon’s serves are good serves. Devon thinks he has a higher proportion of good serves. To test this, 50 of his serves are randomly selected and 42 of them are good. To determine if these data provide convincing evidence that the proportion of Devon’s serves that are good is greater than 72%, 100 trials of a simulation are conducted. Devon’s hypotheses are: H0: p = 72% and Ha: p > 72%, where p = the true proportion of Devon’s serves that are good. Based on the results of the simulation, the estimated P-value is 0.06. Using Alpha= 0.10, what conclusion should Devon reach?
Group of answer choices

Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is not convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should reject H0. There is not convincing evidence that the proportion of serves that are good is greater than 72%.

Answers

Answer:

Because the P-value of 0.06 < a, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Step-by-step explanation:

Right on edge 2022

The conclusion is (a) Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

How to determine the conclusion?

The given parameters are:

Null hypothesis H0: p = 72% Alternate hypothesis Ha: p > 72%,p value = 0.06α = 0.10

By comparison, the p-value is less than the alpha value

i.e. 0.06 <0.10

When the p-value is less than the alpha value, the null hypothesis is rejected.

Hence, the conclusion is (a)

Read more about hypothesis tests at:

https://brainly.com/question/15980493

The mean of the numbers 7, 5x, 4, 8 and 6 is
10. What is the value of x?
Ans:​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{7+5x+4+8+6}{5} = 10[/tex]

7+5x+18=50

5x+25 = 50

5x = 25

x = 5

Answer:

25+5x =10

5

25+5x=505x=50-25x=25/5x=5

hope it helps.

The answers to any of these would be really helpful

Answers

Answer:

Step-by-step explanation:

Q9) Surface Area of a cylinder

= 2πr(r + h)

Diameter = 12cm , Radius = Diameter/2 = 12 cm/2

r = radius = 6cm

h = height = 10 cm

Surface area = 2 × π × 6(6 + 10)

= 603.18579 cm²

Approximately = 603.2 cm²

Q11) Volume of a rectangular prism

Length × Width × Height

Length = 6.5cm

Width = 8.5 cm

Height = 4 cm

Volume = 6.5 cm × 8.5 cm × 4 cm

Volume = 221 cm³

Q12) Volume of the cylinder = πr²h

r = radius = 1.7m

h = height = 9 m

Volume = π × 1.7 × 9

= 81.71 m³

Approximately = 81.7 m³

Q13) Volume of the cylinder = πr²h

Diameter = 0.8m, Radius = Diameter/2 = 0.8m/2

r = radius = 0.4m

h = height = 1.5 m

Volume = π × 0.4 × 1.5

= 0.75 m²

Approximately = 0.8 m³

HELP PLEASEEEE! whats the answer

Answers

Answer:

sum: 45

count: 15

mean: 3

Step-by-step explanation:

sum the number of times students ate fast food

count the amount of students that took the survey

the average amount of times students went out to eat

Answer:45

Step-by-step explanation: just add 1+1,2+2,3+3+3+3,+4,+5,+6+6+6

please solve Y Im in desperate need of help..​

Answers

Answer:

Y = 10

Explanation:

We know that the left and top angles are 45°, the base is 10, and the bottom right angle is 90°, or a right angle. The simplest way I can explain this is the bottom side of the triangle is the same as the right side of the triangle. Meaning "y" would be 10 like the bottom.

If I'm right, I'd appreciate a brainliest as it'd really help me out :D

Define perfection.
[tex] \\ \\ [/tex]

➔No links
➔Ni Irrelevant Answer
TY!​

Answers

Answer:

Hey mate.....

Step-by-step explanation:

Perfection : Something that is faultless and has no single mistake or issue.....

Hope it helps!

Brainliest pls....

Follow me! ;)

Step-by-step explanation:

The quality or state of being perfect is known as perfection .

hope it is helpful to you

HELP ASAP!!!! 10 points!!

Answers

Answer:

a, b, c are all perfect square trinomials

Step-by-step explanation:

a)  (x+3)²

b) (w²-2)²

c) (xy-1)²

13. A sales lady is paid commission at the rate of 3% on all goods she sells. During
one month, she sold 12 television at sh. 15,500 each, 8 D.V.D player at sh. 5,650
and 4 refrigerators at sh. 21,700 each. Calculate the total commission she earned
in that month.

Answers

Answer: Sh. 9540

Step-by-step explanation:

First, we have to calculate the cost of the total things sold. This'll be:

12 television at sh. 15,500 each = sh. 186000

8 D.V.D player at sh. 5,650 = sh. 45200

4 refrigerators at sh. 21,700 each = sh. 86800

Total cost = sh. 186000 + sh. 45200 + sh. 86800 = sh. 318000

Since the sales lady is paid commission at the rate of 3% on all goods she sells, the total commission that she earned

in that month will be:

= 3% × sh. 318000

= 0.03 × sh. 318000

= Sh. 9540

What percent of 50 is 9?
O
A. 4.5%
O B. 5.6%
OC. 9%
O D. 18%
O E. 45%

Answers

the answer is 18 because it just is trust me

Answer:

A. 4.5

Step-by-step explanation:

9/.5= 4.5

plz tell answer for 33 pnts but dont scam​

Answers

Answer:

(i)

Given

∠BED = ∠BAC

Also we see that

∠ABC = ∠DBE as refer to same angle

Since two angles of triangles are congruent, the triangles are similar by AA similarity postulate

ΔABC ~ ΔEBD

(ii)

In similar figures corresponding parts have same ratio. Use ratios to find the value of x:

AB/EB = AC/ED12/8 = x / 4x = 4*12/8x = 6 cm

While eating dinner, Summer ate 25% of the apple slices she had in her bag. There were 20 apple slices in her bag. How many apple slices did Summer eat?
slices

Answers

Summer ate 5 apple slices

Answer:

5

Step-by-step explanation:

25% of 20 is 5

2a +8= 16

I’ll give brainey for right answer

Answers

Answer:

a=8

Step-by-step explanation:

2a+8=16

-8 on both sides

2a=8

/2 on both sides

a=4

You can see the picture for the steps but the answer is a=4
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