Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple interest annually. Which option earns higher interest after 3 years and by how much?

Answers

Answer 1

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is  $197.9

Step-by-step explanation:

 In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

[tex]A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3[/tex]

[tex]A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58[/tex]

Interest is [tex]A-P= 51411.58-43000= 8411.58[/tex]=$8411.58

solving for option B  which gives her 6% simple interest annually

the simple interest formula is

[tex]A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68[/tex]

Interest is[tex]A-P=51213.68-43000= 8213.68[/tex]= $8213.68

calculating the diference in interest between the two options we have

[tex]8411.58-8213.68= 197.9[/tex]= $197.9

Option A earns higher interest


Related Questions

Move each word into the category where it belongs

Answers

Words Related to Teeth:

dentures

dentistry

Words Related to Heat:

geothermal

thermos

Words Related to Work:

belabored (whatever that means)

laborious

Words Related to Teeth

• Dentures

• Dentistry

Words Related to Heat

•Thermos

•Geothermal

Words Related to Work

•Belabored

•laborious

Step-by-step explanation:

Hope this helped. I took the test EDG 2022. Have a great day / night ! :)

Please hurry

What is the solution?

Answers

Answer:

no solution

Step-by-step explanation:

I tried to solve this by doing the square root of [tex]x^{2} +49[/tex], which is x+7. x+7≠x+5

Can someone help me with this ASAP I am so close to the end of this assignment!!!

Answers

Answer:

A

Step-by-step explanation:

[tex]\sqrt{(-5 - (-1))^{2} + (7 - 2)^{2} } = \sqrt{41}[/tex]

So the right answer is √41

please see the attached picture for full solution

Hope this helps

Please help this is about be getting a 4/4 in my math class now I have 3/4 I want to get 4/4 please help...

Answers

Answer:

Step-by-step explanation:

At the start of the week, Crystal’s bank account had a balance of $280. Each day from Monday to Friday, she used her debit card to pay $5 for parking. She wrote a check for $42, and made two deposits of $75 each. She also withdrew $200 in cash at an ATM. What was Crystal’s balance at the end of the week?
Evaluate the expression below to solve the problem.

280 + 5(–5) + (–42) + 2(75) + (–200)
answer down here
$

Answers

Answer:

$163

Step-by-step explanation:

Happily, they've given us the equation already.

280 + 5(–5) + (–42) + 2(75) + (–200)

280 - 25 - 42 + 150 - 200

Keep in mind your negative signs!

280 - 67 + 150 - 200

280 - 67 - 50

213 - 50

= $163

This can all be done on the calculator, but it can also be done mentally or written out, as I've done.

Answer:

Crystal had a balance of $163 at the end of the week

Step-by-step explanation:

hope this helped pls give brainliest!

Please answer the question stated below

Answers

Answer:

$252

Step-by-step explanation:

The price of the computer is $400

On saturday it is on sale for 30% off

30% of 400 or .3 x 400 = 120

400 - 120 = 280

Then, if she gets there before 9am there is an addition 10% off of the sale price (280)

So, 10% of 280 or .1 x 280 = 28

280 - 28 = 252

Hope this helps!

Solve the following equation using algebraic operations 3( x-4)= -18

Answers

Answer:

x=-2

Step-by-step explanation:

3( x-4)= -18

Divide each side by 3

3( x-4)/3= -18/3

x-4= -6

Add 4 to each side

x-4+4 = -6+4

x = -2

Answer:

x+ -2

Step-by-step explanation:

-18/3= -6  -6+4=-2

Write the following as an algebraic expression. Subtract 6X +4 from 4X -14.

Answers

___________________________________

Hey!!!

Here's your answer:

4x-14-(6x+4)

=4x-14-6x-4

=4x-6x-14-4

=-2x-18

Hope it helps..

Good luck on your assignment_

________________________________

Answer:

[tex]= - 2x - 18 \\ = - 2(x + 9) \\ [/tex]

Step-by-step explanation:

[tex]4x - 14 - (6x + 4) \\ 4x - 14 - 6x - 4 \\ 4x - 6x - 14 - 4 \\ = - 2x - 18 \\ = - 2(x + 9)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

#stay safe#

What is the value of y?

Answers

Answer: ∠JKM = 106\textdegree and

∠JKM = 74\textdegree

Step-By-Step-Explanation

Since we have given that

∠JKM=10y+6

∠MKL=8y-6

Since they are linear pairs ,

So,

∠JKM =

and

∠MKL =

An rock is thrown upward from a platform that is 202 feet above ground at 70 feet per second. Use the projectile formula
h
=

16
t
2
+
v
0
t
+
h
0
to determine when the rock hit the ground.

[Recall that
v
0
is the initial velocity of the object and
h
0
is the inital height of the object.]

Answers

Answer:

in 6.36004793262 seconds

Step-by-step explanation:

h(t) = –16t^2 + v*t + h

0=-16t^2 + 70*t+ 202

t=(-70 ± sqrt((70^(2)-4*(-16)*202))/(2*(-16))

t=(-70 ± sqrt(4900+64*202))/-32

t=(-70 ± sqrt(4900+12928))/-32

t=(-70 ± sqrt(17828))/-32

t=(-70 ± sqrt(2*2*4457))/-32

t=(-70 ± 2 sqrt(4457))/-32

t=(-70 + 2 sqrt(4457))/-32

t=-1.98504793262

t=(-70 - 2 sqrt(4457))/-32

t=6.36004793262

since we need the time it will fall to the ground after it was thrown and time can't be negative, answer is

in 6.36004793262 seconds

I don't know till what I am supposed to round, so I will leave it there.

please help as quickly as possible

Answers

Answer:

54/125

Step-by-step explanation:

2/375, 2/125, 6/125, 18/125

It is obvious the common ratio = 3

The next term = 3*18/125= 54/125

Answer: 54/125

Step-by-step explanation:

Evaluate the expression (x + y ) if x = 4 and y = 2

Answers

Answer:6

Step-by-step explanation:

I feel like we are missing some of the equation, but here goes with what you gave

(x+y)

(4+2)

(6)

Answer:

6

Step-by-step explanation:

if x=4 and y=2 then (x+y) is (4+2)

Each point where vertical cables are attached to the spanning cable of a bridge has forces pulling in three directions. This situation can be modeled in terms of the unknown forces with the matrix equation below Solve this equation for F and round answers to three decimal points​

Answers

Answer:

f1: 0.440, f2: 0.931, f3: 1.519

Step-by-step explanation:

To solve the system of equations we need to use the inverse of matrix A, as follows:

A x F = C

A^-1 x A x F = A^-1 x C

I x F = A^-1 x C

where I is the identity matrix.

The inverse of A is:

          1.450 -0.392 -0.090

A^-1 = -0.074 -0.022 0.1536

         -0.406 0.7122 -0.060

(computed with Excel)

The multiplication between the inverse of A and C gives:

                0.440

A^-1 x C = 0.931

                1.519

(computed with Excel)

Answer:

1f = .441

f2 = .931

f3 = 1.520

Step-by-step explanation:

did it on edge 2020

Help please!
Which expressions are equivalent to -5/19

Answers

Answer:

Options 3, 4, and 5 are all equivalent

The expressions equivalent to -5/19 are options 3, 4, and 5 are all equivalent.

We have given that

-5/19

What is the expression?

An expression is a sentence with a minimum of two numbers and at least one math operation.

1) 5/19

Option 1 is not correct.

2)-5/-19

Implies that 5/19.

Option 2 is also not correct.

3) -5/19

Option 3 is correct.

4) 5/-19=-5/19

This is the correct option.

5)-(5/19)=-5/19

This is also the correct option.

Therefore, the expressions equivalent to -5/19 are options 3, 4, and 5 are all equivalent.

To learn more about the expression visit:

https://brainly.com/question/723406

to prepare for a new year john praticed marching and playing his tuba for 45 minutes he took a break and then practiced 15 more minutes how many did john practice in all

Answers

Answer:

60 minutes/1 hour

Step-by-step explanation:

45+ 15=60

1. Calculate the volume of a cube with the following measurements. Length = 5 cm Height = 10 cm Width = 16 cm 800 cubic cm 400 cubic cm 31 cubic cm 50 cubic cm

Answers

Answer:

800

Step-by-step explanation:

lol ain't even a cube das a rectangle

WXYZ is a quadrilateral in the coordinate plane which Step will you help to show that WXYZ is a trapezoid. with explanation plz​

Answers

Answer:

Before starting, parallel lines are lines on the same plane that never intersect with each other. From the figure, the pairs of parallel lines would be WX & ZY and WZ and XY. The only correct statement in the choices is letter B.

Answer:

Option A

Step-by-step explanation:

In trapezoid, one pair of opposite sides are parallel.

Parallel lines have the same slope.

So , we have to find the slope of four sides and from that we can show that it is a trapezoid.

if you can do both that will be awesome. tysm

Answers

Answer:

8x + 16 = ?, (16+x) x 8

Step-by-step explanation:

plz help me with my question go to my profile and answer the most recent question i asked

Answer:

[tex]A=8(x+16)\\A=8x+128 \text{ units square}[/tex]

pls help meeeeeeee pls ​

Answers

Answer 3: m equal 12h
You can begin by choosing a point on the graph.

Chosen point = (x, y) = (1, 12)
m = amount of money
h = hours
12m = 1h

Answer: 12m = h

A bank advertises a 2/1 ARM at 3.25% with a 2/10 cap.
What is the maximum interest rate that can be charged during the fifth year?
A 2%
B 3.25%
C 9.25%
D 10%

Answers

The answer is B 3.25%

if I weighed 12 stones and lost 5lb , how much would I weigh?​

Answers

Answer: 163 pounds

Step-by-step explanation: 12 stones is 168 pounds

Answer:163 lbs

Step-by-step explanation:

12 stone in lbs is 168 so 168-5= 163 lbs

Find the exact solution of the equation 7^x=8

Answers

Answer:

exact form:in(8)/in(7) decimal form: x

=

1.06862156

Step-by-step explanation:

At East Middle School 28% of the students are in the band.If 168 students are in the band,how many students go to East Middle School?
Plz Help me.I will give you max points

Answers

Answer:

600

Step-by-step explanation:

% of students in the band = 28%

No. of students who are in the band = 168

Let us take the total no. of students as x

So, 28/100×x=168

= 600

pls help me this is dur in 10 minutes.​

Answers

Answer:

answer for the question is 1.point R means that the unit rate is $14.00 per pound

Please answer need help

Answers

Least to greatest:
-3.5, -3, -2 1/2, -2, 2.5

Is my answer correct?

Answers

Answer:

No

Step-by-step explanation:

It should be -8 degrees because 5x4=20 and 12-20=-8

Solve the equation. 5= w/2.2

Answers

Answer:

11

Step-by-step explanation:

[tex]5=\dfrac{w}{2.2}[/tex]

Multiply both sides by 2.2 to isolate w:

[tex]w=5\cdot 2.2=11[/tex]

Hope this helps!

Answer:

[tex] \boxed{\sf w = 11} [/tex]

Step-by-step explanation:

[tex]\sf Solve \ for \ w: \\ \sf \implies 5 = \frac{w}{2.2} \\ \\ \sf \implies \frac{w}{2.2} = 5 \\ \\ \sf Multiple \: both \ side \ by \ 2.2 : \\ \sf \implies \frac{w}{ \cancel{2.2}} \times \cancel{2.2 }= 5 \times 2.2 \\ \\ \sf \implies w = 5 \times 2.2 \\ \\ \sf 5 \times 2.2 = 11 : \\ \sf \implies w = 11[/tex]

subtract the difference of p and a from 3

Answers

Answer:

see below

Step-by-step explanation:

Translating this into math we get 3 - (p - a).

Will mark as Brainlist



Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0

a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4

Answers

The answer :

4/5

Step-by-step explanation:

4x-5y=0  

subtract 4x on both the sides  

4x-4x-5y = 0-4x  

-5y = -4x

divide by -5 on both the sides  

-5y/-5 = -4x/-5

y =( 4/5 )x  

Which equation is represented by the graph below?

Answers

y= -1/2x+2 since the y-intercept is 2 and the slope is going down by 1/2, you can find the equation using the y=mx+b form

Answer:

hope this helps! pls mark brainliest

Step-by-step explanation:

y= -1/2x + 2

y=mx+b

b is the y intercept which is where the line passes through the point.

m is slope to find slope go to a point (ex- (0,4) and go to the next and to do that is up 1 over 2 which is 1/2 and the line is going left so it's negative

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