Otis has saved $18,500 so far to buy a house. He can put this amount into account that earns 5.1% simple interest, or another with 5.1% compounded annually. Which method of earning interest should he choose simpler compound and how much more interest will the account earn using that method after four years?

F. Compound interest $15,106.30
G. Simple interest $15,106.30
H. Simple interest $298.65
J. Compound interest $298.65

Answers

Answer 1

Answer:

J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

  1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

  1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

  1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.

Hope this helps, have an amazing day!


Related Questions

Find the sum of (4 + 3x) + (2 + x).

Answers

Answer:

Your answer would be 8x+2

Step-by-step explanation:

4x+3x+x+2

Combine the like terms

Which gives you 8x+2

Which inequality does the graph represent?
1. x>17
2.x<17
3.x<_17
4.x>_17​

Answers

Answer:

1. x > 17

Step-by-step explanation:

When the point on the graph is an open circle you are going to be using < or > as an open circle means greater than or less than

Immediately we can eliminate number 3 and 4

When the line is going in the direction of the right than the inequality sign will face the variable (x)

the numbers are getting larger meaning that x is greater than the constant (17)

Hence, your answer is x > 17

Extra notes:

when the point on the graph is a closed circle ( filled in ) then you will use ≤ or ≥ as a closed circle means greater than or equal to or less than or equal to

Answer:

1. x > 17

Step-by-step explanation:

I          l         l        l    

17      18      19      20

-------------------------------->

Hope this helps

- 8x + 2y = -4
Find the slope and the v-intercept.
Then use them to graph the line.

Answers

Answer:

x= 1 /4 y+ 1 /2

Step-by-step explanation:

Please answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

it is 5

Step-by-step explanation:

The two shorter sides of a triangle measure 12 cm and 18 cm. which of the following could be the length of the longest side of the triangle?

1. 30 cm
2. 17 cm
3.27 cm
4. 11 cm​

Answers

i believe it is number 1 (30 cm)

Help!! Ur the best if u can help!

Answers

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Hey! So look at 18 on the left-hand side. Then, look at the inches. Also, note that A is the exact same as the graph! Therefor, your answer is A!

Have a great day!

Brainliest please!

Hope this helps friend!

Plz help with this problem

Answers

Remember that the formula is f(x) = a(x-h)^2+k.

1/2: The closer to zero the value, the wider, so this will stretch vertically.

5: Which means that h=5, so the graph is shifting left 5 units.

7: this means that k=7, so the graph is shifted up 7 units.

The answer is stretched vertically, shifted left 5 units, shifted up 7 units.

What is the measure, in degrees, of the missing interior angle?

O 70
O 40
O 10
O 170

(pls help)

Answers

Answer:

A) 70

Step-by-step explanation:

180 - 120 = 60

? = x

x + 50 + 60 = 180

x + 110 = 180

x = 70

So we need it to equal 120
120-50 is 70
So your answer is 70
Goodluck and have a good night or morning

A model rocket is launched vertically from a platform 64 feet above the ground. The height of the rocket reaches during the flight is modeled by the equation h(t) = -16t² + 128x, where h is the height of the rocket and t is the time in seconds since the launch. Determine algebraically the time when the ball hits the ground.​

Answers

Answer:

do not know why asking questions

The following table is for which exponential function?

Answers

the answer is (y= 1/2)

a supplementary angle that has a 41 degree angle what is X

Answers

Answer:

X= 139

Step-by-step explanation:

1. Suplementary angle = 180 degrees

2. Set up the Equation  

  41 + x = 180

3. Solve

 41 + x = 180

-41           -41

       x = 139

[tex]2x-7y=9\\x+2y=10[/tex]

Answers

Answer:

x=8 y=1

Step-by-step explanation:

you have first and second equation, YOU MUST FIND THE THIRD EQUATION

SOLUTION

FIND equation 3 from 2

x+2y=10

x=10-2y...........3

Substitute equation 3 from first (not from the equation where you got equation 3)

2 (10-2y)-7y=9

20-4y-7y=9

-11y=9-20

-11y= -11

-11y/-11= -11/-11

y=1

Find the value of x from the third equation

x=10-2 (1)

x=8

Someone help and plz make sure it’s right plz :)

Answers

Answer:

6.3

Step-by-step explanation:

square root of (14.9k^2 - 13.5k^2)

A certain forest covers an area of 4900 km². Suppose that each year this area decreases by 5.75%. What will the area be after
5 years?

Answers

Answer:

3,644 km²

Step-by-step explanation:

y = 4900(1 - .0575)^5

y = 4900(0.9425)^5

y = 3644.21

Find the perimeter RST. Round answer to the nearest tenth. Show all the work !!!

Answers

Given:

The figure of a triangle RST on a coordinate plane.

To find:

The perimeter of the triangle RST.

Solution:

From the given graph it is clear that the vertices of the given triangle are R(-2,7), S(-5,1) and T(-7,-5).

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, we get

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

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

[tex]RS=\sqrt{\left(-3\right)^2+\left(-6\right)^2}[/tex]

on further simplification, we get

[tex]RS=\sqrt{9+36}[/tex]

[tex]RS=\sqrt{45}[/tex]

[tex]RS=3\sqrt{5}[/tex]

Similarly,

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

[tex]ST=2\sqrt{10}[/tex]

[tex]RT=\sqrt{\left(-7-\left(-2\right)\right)^2+\left(-5-7\right)^2}[/tex]

[tex]RT=13[/tex]

Now, the perimeter of the triangle RST is

[tex]Perimeter=RS+ST+RT[/tex]

[tex]Perimeter=3\sqrt{5}+2\sqrt{10}+13[/tex]

[tex]Perimeter=26.032759[/tex]

[tex]Perimeter\approx 26.0[/tex]

Therefore, the perimeter of the triangle RST is 26.0 units.

Pls help me I’m very bad at math

Answers

Answer:

(0,3) & (-3,15)  -4

(-4,-3) & (-8,-4)  1/4

(3,10) & (1,7)  3/2

(8,6) & (12,5)  -1/4

(-1,-4) & (2,-6)  -2/3

(7,-4) & (11,0)  1

(6,-1) & (7,3)  4

(5,-2) & (11,2)  2/3

Step-by-step explanation:

solve , (√3+√6) (√6-√3)​

Answers

Answer:

3

Step-by-step explanation:

[tex]( \sqrt{3} + \sqrt{6) } \times ( \sqrt{6} - \sqrt{3} )[/tex]

[tex]( \sqrt{6} + \sqrt{3} ) \times ( \sqrt{6} - \sqrt{3)} [/tex]

[tex]6 - 3[/tex]

[tex]3[/tex]

pls help me multiple choice!

Answers

Answer:

100. degrees was right for me so it could be for you

Find the inverse of each function. g(x)=∛(x-2)
Please show the steps. I can show you what I have so far if you want, too.
Just please don't put some Ludacris thing, like "ldsnvlsjdsv" Okay? thankyou :)

Answers

Answer:

x=2

Step-by-step explanation:

g(x)=∛(x-2) -Substitute g(x)=0

0=∛(x-2) -Swap the sides of the equation

∛(x-2)=0

∛(x-2)=0 -Set the radicand equal to 0

x-2=0

x-2=0 -Move the constant to the right hand side and change its sign

x=2

I Hope this helps! If you are good at geometry I really need help. Please let me know! :)))

What is the value of x?

Answers

Tan(43)=x/29

X=29tan(43)

X=27

To celebrate the first day of school, Jackson brought in a tray of caramel brownies and walnut brownies. He brought 10 caramel brownies and 15 walnut brownies. What percentage of the brownies were caramel?

Answers

Answer:

40%

Step-by-step explanation:

I divided 10 by 25.

25 is the total amount of brownies.

10 is the amount of caramel brownies.

Answer:

40%

Step-by-step explanation:

Factor the following quadratic expression n^2+ 4n-12

Answers

Answer:

(n + 6)(n - 2)

Step-by-step explanation:

Given

n² + 4n - 12

Consider the factors of the constant term (- 12) which sum to give the coefficient of the n- term (+ 4)

The factors are + 6 and - 2 , since

6 × - 2 = - 12 and 6 - 2 = + 4

Then

n² + 4n - 12 = (n + 6)(n - 2) ← in factored form

What is the measure of angle C?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.

Answers

Answer:

∠C = 36.87°

Step-by-step explanation:

tan C = 3/4 = 0.75

∠C = 36.87°

Pls help on this math problem

Answers

The answer is -12x^2-5x+11

Answer:

All is in the picture

Subtract 19 and 4, triple the difference, and then add
four-fifths.

Answers

Answer:

45.8

Step-by-step explanation:

I think that is the correct answer

plss help i’ll give brainliest thank you!

Answers

Answer: D, -13<-10

Step-by-step explanation:

Which ever way the open part of the '<' is facing, means that it is greater than the other number.

-13 is smaller than -10 so the open part of the symbol would face towards -10 and the pointy part would fact towards the -13.

Hope this helps :)

Jane needs to solve for the value of n in the equation 10 n = 150. Which of these steps would BEST help Jane solve the equation?

Answers

Answer:

n = 15

Step-by-step explanation:

10 x 15 = 150.

Hope this helps!

PLEASE HELP I DONT KNOw all THE DEFINITIONS TO THESE- MARK BRAINLIEST TOO

Answers

Answer:

Factor

1

out of

3

x

2

+

4

x

7

.

(

3

x

2

4

x

+

7

)

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPppppppppppppppp​

Answers

Answer:

i go for 3

Step-by-step explanation:

The first term of a geometric series is 1 and the common ratio is 9. What is the 8th term of the sequence?​

Answers

81 would be the answer becuss 9 times 9 is 81
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