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

dino has 14 coins and 2 one dollar bills which describes the relationships between the coins and the dollar bills

Answers

Answer:

they are both money

Step-by-step explanation:

that's why they relate, they're both currency

Answer:

B

Step-by-step explanation:

I took the quiz

HI I REALLY NEED HELP ON THIS IT WOULD BE NICE IF I COULD GET SOME HELP AND THANK YOU

Answers

Answer:

The answer is D.

Step-by-step explanation:

The first step would be to multiply 3x^2 and x+2 which gives us D after distributed.

work out the surface area of the shapes in the attached file

Answers

Answer:

Find the area of every shape

12 x 9 = 108. Don't divide because there is two

12 x 14 = 168

14 x 9 = 126

15 x 14 = 210

108 + 168 + 126 + 210 = 612

____________________

2 x pi x radius x height + 2 x radius x radius x height

466.5

Step-by-step explanation:

I’m stuck between two answers and wanted to know what you guys think is right?

Answers

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is y = mx + b

When we count rise over run, we get 1/1, or just 1. Also, the line is rising from left to right, so it is a positive slope.

y = x + b (you don't have to put 1x)

The line intersects the y-axis at 3

y = x + 3

I hope this helps :))

Answer:

y= -x+3

Step-by-step explanation:

looking at the graph, you can see that the equation is a negative, so the slope will be negative. On the Y-axis, the line goes through "3" making the y-intercept. The equation would be y=-3x+3, but you answer only give you y= -x+3

Help :(((((((((( please

Answers

Answer:

the ratio of the circumference of a circle to its diameter

Step-by-step explanation:

Answer is A............

Find the ninth term of the geometric sequence a4= -135,r=-3

Answers

Answer:

The nth term of the geometric sequence is is 32805

Step-by-step explanation:

The nth term of a geometric sequence is given by

[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]

Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio

We are given the fourth term of this sequence

[tex]a_4 = -135[/tex]

The common ratio is

[tex]r = -3[/tex]

Once we find the 1st term then we can find any other term.

[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]

So the ninth term of this geometric sequence is

[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]

Therefore, the nth term of the geometric sequence is is 32805

Tori's mathematics test had 75 problems: 10 arithmetic, 30 algebra, and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra, and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more questions would she have needed to answer correctly to earn a 60% passing grade?

Answers

Answer:

She would need 5 more correct answers.

Step-by-step explanation:

This is from the AMC 8 1999 (the question). You can just search up the solution but okay.

70% of 10 is 7 so she got 7 arithmetic questions.

40% of 30 is 12 so she got 12 algebra questions.

60% of 35 is 21 so she got 21 geometry questions.

She got [tex]\frac{7+12+21}{10+30+35} =\frac{40}{75} =\frac{8}{15}[/tex] questions correct.

60% of 75 is 45 questions correct.

She got 40 questions correct.

She needed 5 more correct answers to get 60%.

Answer:

Step-by-step explanation:

problems solved in arithmetic=10×70 %=7

problems solved in algebra=30×40 %=12

problems solved in geometry=35×60 %=21

total problems solved=7+12+21=40

problems required for passing=75×60 %=45

so more questions required for passing=45-40=5

A line passes through the point (-3,1) and has a slope of -2

Answers

Answer:

Step-by-step explanation:

y - 1 = -2(x + 3)

y - 1 = -2x - 6

y - 1 + 1 = -2x - 6 + 1

y = -2x - 5

Simplify completely. (w15/w5)4

Answers

Answer:

w^40

Step-by-step explanation:

(w^15/w^5)^4

Simplify inside the parentheses

a^b / a^c = a^(b-c)

(w^(15-5)) ^4

(w^10) ^4

We know a^b^c = a^(b*c

w^(10*4)

w^40

Answer:

w^40

Step-by-step explanation:

(w ^15/w^5)^4

w^15/w^5 = w^10 = (w^10)^4

Refine: w^40

30 POINTS FOR THIS ONE

1.

In the equation 0.5x - 8 = 1.5, the decimal coefficient is ___________________.


2.

In the equation 3/4y + 1/2 = 3 1/4, the fractional coefficient is _____________________.


3.

In the equation -2 - 6b = 32, the negative coefficient is ___________________.


4.

In the equation 5x + 9 = 3x, 3x is a like term with _______________________.

Answers

Answer:

1. 0.5

2. 3/4

3. -6

4. 5x

Step-by-step explanation:

1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.

The decimal coefficient is therefore 0.5. It is the coefficient of x.

2. The fractional coefficient is 3/4. It is the coefficient of y.

3. The negative coefficient is -6. It is the coefficient of b.

4. A like term is one which contains the same type of terms as another term.

3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.

How does the graph of f(x) = (x - 1)2 relate to the basic function f(x) = x??
a.
shift 1 unit to the left
shift 1 unit to the right
C.
d.
shift 1 unit up
shift 1 unit down
b.
Please select the best answer from the choices provided

Answers

Answer:

Shift 1 unit to the right, i.,e. option (c).

Step-by-step explanation:

Note: Both functions can not be represented by f(x) and square is missing in basic function.

The given basic function is

[tex]f(x)=x^2[/tex]

The given function is  

[tex]g(x)=(x-1)^2[/tex]

So, the given function can be written in the form of basic form as

[tex]g(x)=f(x-1)[/tex]     ...(1)

The translation is defined as

[tex]g(x)=f(x+a)2+b[/tex]     .... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=-1,b=0[/tex]

Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).

Answer:

It C

Step-by-step explanation:

PLEASE HELPPPPPPPPPPPPPP!!!!!!!

Answers

The answer is: 25 red flowers
red yellow. total
5. 10. 15
10. 20. 30
15. 30. 45
20. 40. 50
25. 50. 75

there are 25 red flowers

PLEASE PLEASE PLEASE HELP

Answers

Step-by-step explanation:

I rectangle measures⅛(width)by 1/5(length). You have been asked to shade whose area is 3/5(w

length)by ⅞(width)

1)width=⅞÷1/8=7rectangles

2)length=3 /5÷1/5=3rectangles

thus shade 7rectangles along the width(sideways) and 3 rectangles along the length(downwards)

The diagram below shows a balanced hanger.

Which of the changes would keep the hanger in balance? Select all that apply.
a. Adding two circles on the left and a square on the right
b. Adding 2 triangles to each side
c. Adding two circles on the right and a square on the left
d. Adding a circle on the left and a square on the right
e. Adding a triangle on the left and a square on the right

Answers

Answer:

a. b. c.

Step-by-step explanation:

As per picture one square= 2 circles

To keep balance same amount to be added to both sides

a. Adding two circles on the left and a square on the right

yes

b. Adding 2 triangles to each side

yes

c. Adding two circles on the right and a square on the left

yes

d. Adding a circle on the left and a square on the right

no

e. Adding a triangle on the left and a square on the right

no

What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x

Answers

Answer:

4x+2= -6x+7

4x+6x=7-2

10x=5

x=1/2

Step-by-step explanation:

The answer is x=.5 you can download and use Photomath to scan the question and that will tell you how to do its step by step

which answer justifies why 10 1/3= 3^10

Answers

Answer:

they are not equal

Step-by-step explanation:

10 1/3 = 10.33333

3^10 =59049

10.333 does NOT equal 59049

Answer:

Brainliest here!

Step-by-step explanation:

10 1/3 = 10.33333 3333333...

3^10 = 59049

10.333 < 59049

not equal to

When adding to integers with different signs, how do you find the sign?

Answers

Answer:

the largest number would be the sign that that number has

Step-by-step explanation:

Which symbol correctly compared these two fractions

Answers

The answer to the question is A

Answer:

>

Step-by-step explanation:

Put the fractions in decimal

0.25 is greater than 0.167. Therefore, 2/8 is greater than 1/6

You can also use common denominators

Which inequality will have a shaded area below the boundary line

Answers

Answer:

D.

Step-by-step explanation:

If you calculate the rest of the equations, they all result in y being more than (or equal to) the rest of the inequalities. You are looking for an inequality where y is LESS than the other stuff.

Hope this [kinda] helps!

What is the measure of the obtuse angle?

Answers

Answer:

The measure of and obtuse angle is 180°

Step-by-step explanation:

obtuse angles are more than 90°but less than 180°

Can someone please help me! Explain the Error. Find the correct solution.
4w (w - 3)+(-5)(w – 3) = (w - 3)(4w +5)

Answers

Answer:

w=3

Step-by-step explanation:

[tex]4w(w-3)+(-5)(w-3)=(w-3)(4w+5)\\4w^{2} -12w-5w+15=4wx^{2} +5w-12w-15\\4wx^{2} -17w+15=4wx^{2} -7w-15\\4wx^2-10w+15=4wx^{2} -15\\4wx^{2} -10w=4wx^{2} -30\\-10w=-30\\w=3[/tex]

15 POINTS & BRAINLIEST MARK!!!!!!
1. Find the amount in an account where $500 in invested at 2.5% compounded quarterly for a period
of 10 years.
2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period
of 10 years.
Each answer must include the intermediate steps used to arrive at the answer.

Answers

I'm sorry about the confusion, but what is the question you're asking?

I would love to help though!

Express the ratio of A's to N's in the word BANANA, in simplest form.


A. 2:3

B. 3:2

C. 1:2

D. 2:1

Is it B.?

Answers

Answer:

There are 3 A's and 2 N's so the answer is B.

ANSWER ALL PLS NOW I NEED THIS ANSWERED

Answers

1. 6^2

2. -5^4

3. 3^3

4. -4^3

5. a^3

6. 1/2^6

7. Base is -12 expanded is -12x-12 exponent is 2 standard form is 144

8. Base is 1/2 and expanded is 1/2x1/2x1/2 exponent is 3 standard form is 1/8

9. Base is -9 expanded is -9x-9x-9 exponent is 3 and standard form is -729

10. 8x8x8x8

11. -3x-3

12. 8x8

13. -7x-7x-7x-7x-7

14. 7x7x7

15. 3/4x3/4x3/4x3/4x3/4

1) [tex]6^{2}[/tex]

2) [tex]-5^{4}[/tex]

3) [tex]3^{3}[/tex]

4)[tex]-4^{3}[/tex]

5)[tex]a^{3}[/tex]

6)[tex]2^{6}[/tex]

7) Base= -12 Exponent=2 Expanded= (-12)(-12) Standard Form= -144

8) Base= [tex]\frac{1}{2}[/tex] Exponent= 3 Expanded= ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex]) Standard Form = [tex]\frac{1}{8}[/tex]

9) Base= -9 Exponent= 3 Expanded= (-9)(-9)(-9) Standard Form= -729

10) (8)(8)(8)(8)

11) (-3)(-3)

12) (8)8)

13)(-7)(-7)(-7)(-7)(-7)

14) (7)(7)(7)

15) ([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])

Help Idk the way to do it

Answers

Answer:

x=3

Step-by-step explanation:

If the triangles are congruent

13 = 4x+1

subtract 1 from each side

13-1 = 4x+1-1

12=4x

Divide by 4

12/4 = 4x/4

3=x

Answer:

3

Step-by-step explanation:

If the two triangles are congruent then:

13=4x+1

13-1=4x+1-1

12=4x

x=3

Hope this helps!


Find the coordinate of point X inside segment BE that is 3/4 the
distance from B to E.​

Answers

Answer:

i really dont know

Step-by-step explanation:

this is confusing

Find the approximate circumference of a circle with a diameter of 80 yards.
251 yards
502 yards
126 yards
25 yards

Answers

________________________________

Solution,

Diameter (d)=80 yards

Radius(r)=80/2=40 yards

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*3.14*40

=251.2 yards.

The right answer is 251 yards.

Hope it helps...

Good luck on your assignment

_____________________________

Please answer right, I've been stuck on this test for an hour.

Answers

Answer:

D

Step-by-step explanation:

f(x) has a horizontal asymptote of -4 while g(x) has horizontal asymptote of zero, in both functions, y is closer to infinity as x is closer to negative infinity,

A and B are definitely incorrect

while x gets closer to infinity, in f(x) y gets closer to -4, while in g(x) y gets closer to 0, thus they have a different end behavior as x approaches infinity

So, C is wrong, since it says that they have the same end behavior as x approaches infinity

Thus, D is correct

Simplify: 8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p

Answers

Answer:

7p-3

Step-by-step explanation:

We are given the expression:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p

To simplify, we can combine like terms. Add all the terms with a variable, then add the terms without a variable.

(8p + 9p + 6p + 2p - 6p - 3p - 9p)+ -3

(25p -18p) -3

7p-3

Steps:

Group like terms:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p-3

Add similar elements:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p = 7p

=7p−3

Answer: =7p−3

Please mark brainliest

Hope this helps.

If f(x) and g(x) are inverse functions of each other, what is the graph of f(g(x))?

Answers

Answer:

y = x

Step-by-step explanation:

The graph of f(g(x)) is the straight line y = x.

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