Autumn invested $69,000 in an account paying an interest rate of 6 3/8% compounded continuously. Jayden invested $69,000 in an account paying an interest rate of 6 1/4% compounded quarterly. After 14 years, how much more money would Autumn have in her account than Jayden, to the nearest dollar?

Answers

Answer 1

Answer:

4,038.21

Step-by-step explanation:

I'm going to assume that when you write 6 3/8% that equals 51/8%=6.375%

To find the value in the first equation we have

69000*e^(.06375*14)=168,444.5313

The second equation is as follows

69000(1+(.0625/4))^(14*4)=164,406.3243

Subtract the two and get 4,038.2071


Related Questions

Please help 30 extra points




Select only the rational numbers
3/4
6
0.863
1.5
103

Answers

Everything is rational

Answer:

the rational numbers are 6, 3/4, 1.5, 103, 0.863 so all of them.

Step-by-step explanation:

Any number that can be written, numbers like 2.3373648489 with no pattern or rationality are not rational.

However number like 2.3333 are rational because you can predict the pattern.

A loan of $25,000 has an annual simple interest rate of 5.5%. The total cost of the loan is $38,750.
How much total interest will you pay?

How long does it take to repay the loan?

Answers

You will pay about $134407323


Step by step explanation;

help pls i dont no

Answers

Step-by-step explanation:

[tex] - 5 \frac{1}{3} \div 3 \frac{1}{10} \\ = \frac{ - 5 \times 3 + 1}{3} \div \frac{3 \times 10 + 1}{10} \\ = \frac{ - 16}{3} \times \frac{10}{31} \\ = \frac{ - 160}{93} [/tex]

So choose option 1st

-1 67/93

Hope it will help :)

Answer: -1 67/93

Explain:

The first one is the answer because you have to keep change and flip and it has to be a negative because when you divide a negative by a positive it gives you a negative

Can I have a brainliest

Find the square root of 64a^2/9b^2+4+32a/3b​

Answers

Answer:

[tex]\frac{4.(ab+3^2}{9}[/tex]

Step-by-step explanation:

Please help me out with this guys

Answers

To find the x- intercept, suptitude in 0 for y and solve for x

Mark said he can decompose five six into three fractions with three different numerators and the same denominator is this possible explain

Answers

Answer:

1/6 ; 2/6 ; 2/6

Step-by-step explanation:

To split 5/6 into. 3 different fractions with the same denominator and different numerator values;

The integer value of the numerator 5 can be divided into 3 different whole Number values ;

It could be :

5 = 3 + 1 + 1

5 = 2 + 2 + 1

Hence, we could have ;

3/6 +. 1/6 + 1/6

Or

2/6 + 2/6 + 1/3

Find the measure of

Answers

Answer:

m∡GHI = 21°

Step-by-step explanation:

Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.

That means you can set them equal to each other

x + 7 = 3x - 21

x = 14

Now plug x into GHI

14 + 7 = 21

m∡GHI = 21°

When I halve it,
the result is 24 less than 46.

what is the number? ​

Answers

Answer: 44

Step-by-step explanation:

46 - 24 = 22 (when halved so you need to multiply by 2)

22 * 2 = 44

The Husky student store is selling CIF football playoff tickets. The cost is $6 per child ticket and $12 per adult ticket. The student store sells a total
of 304 tickets and earns a total of $2640. Determine the number of each type of ticket sold. Remember to show all 7 steps

Answers

Answer:

Your answer.

X = 168, Y = 136

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

Finding missing angles

Answers

There’s no picture thanks for the points tho

thank for the pint but what is the qestion

Is 4d + (15 + 3d) equivalent to (4d + 15) + 3d ?

Answers

Answer:

Yes it is

Step-by-step explanation:

4d + 3d = 7d so 7d + 15 would be the expression for both except it would only be 3d + 4d = 7d and 7d + 15 is the same as the first expression that I got from evaluating 4d + (15 + 3d).

Answer:[tex]\boxed{\boxed{\sf{Yes,~7d+15=7d+15}}}[/tex]Solution Steps:

______________________________

1.) Solve [tex]\bold{4d+(15+3d)}[/tex]:Combine 4d and 3d: [tex]=7d+15[/tex]2.) Solve [tex]\bold{(4d+15)+3d}[/tex]:Combine 4d and 3d: [tex]=7d+15[/tex]

3.) Compare:[tex]7d+15=7d+15[/tex]

So your answer [tex]\bold{7d+15=7d+15}[/tex].

______________________________

This year, a town has a budget of $1,000,000. Next year, the budget will increase by 2.5%.
What will the town's budget be next year?
A $1,025,000
B) $1,250,000
С
$2,050,000
D
$2,500,000

Answers

Answer:

A

Step-by-step explanation:

1000000·2.5=2500000

2500000÷100=25000

1000000+25000=1025000

A because 2.5 percent of a million is 25,000 so u add those together

The table below represents a function. Which of the following equations could be its function rule?

Answers

Answer:

it's the 3rd choice, Y= -3x

Help mee !! I’ll give points !!

Answers

Answer: It is (x - 3)(x + 5)

If a car travels 7.5 miles in ¼ hour, how many miles will it go in 1 hour?

Answers

30 miles
Since its 1/4 hour that pass you multiply 7.5 with 4

Find the 101th term in the arithmetic sequence -3,-5,-7,-9,-11

Answers

The answer would be 95

To the nearest tenth, find the area of a circle with a
diameter of 8 meters. Use 3.14

Answers

Answer:

28.3

Step-by-step explanation:

Simplify to find the quotients . 24. ) (a ^ 8)/(a ^ 3)

Answers

Answer:

a^5 is the answer

Step-by-step explanation:

a^8 / a³

= a^8 - 3

= a^5

Answer:

a^5

Step-by-step explanation:

Jonah had 3/4 cup of water in his cup. He drank 1/2 cup of water. How
much water did he have left?

Answers

Answer:

1/4th Cup left

Step-by-step explanation:

1/2 cup is equal to 2/4 cup, so subtract that from 3/4th and you end with 1/4th

Solve the inequality. 5(x + 1) – 10 ≥ 2x + 3(x + 2)

Answers

there are no values of x that make the inequality true
No solution.

The solution of the inequality  5(x + 1) - 10 ≥ 2x + 3(2x + 2) is x ≤ - 16/3.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a b.

a is bigger or equal value of an is indicated by the notation a b.

Given, Inequality is 5(x + 1) - 10 ≥ 2x + 3(2x + 2).

5x + 5 - 10 ≥ 2x + 6x + 6.

5x + 5 - 10 ≥ 8x + 6.

5x - 8x ≥ 10 + 6.

- 3x ≥ 16.

3x ≤ - 16.

x ≤ - 16/3.

learn more about inequalities here :

https://brainly.com/question/28823603

#SPJ2

2/3 divided by 1/9

?????

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

In WXY y=3.6 w=6 and X=147

Answers

Answer:

[tex]wxy = 6 \times 147 \times 3.6 \\ = 3175.2[/tex]

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.
Which system of linear inequalities is represented by the graph?

Answers

Answer:

A. y≥[tex]\frac{1}{3\\}[/tex]x+3, 3x-y>2

Step-by-step explanation:

The linear equations above match the lines in terms of slope and y-intercept.

I hope you found this helpful! If you did, I'd really appreciate if you'd mark my work as 'brainliest'. Please don't hesitate to ask any questions!

Have a great day!

The system of linear inequalities of the given points is required.

The system of inequality is

[tex]x-3y\leq -9[/tex]

[tex]3x-y>2[/tex]

Points of the first line

[tex](0,3)[/tex]

[tex](3,4)[/tex]

The equation of the line is

[tex]y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9[/tex]

Let us take a point above this line [tex](2,4)[/tex]

It is also a solid line.

[tex]2-3\times 4=-10<-9[/tex]

So, the inequality is [tex]x-3y\leq -9[/tex]

Points of the second line

[tex](0,-2)[/tex]

[tex](1,1)[/tex]

The equation of the second line is

[tex]y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2[/tex]

Let us take a point towards the right of the line [tex](2,2)[/tex]

[tex]3\times 2-2=4>2[/tex]

Since, the line is dashed the second inequality will be [tex]3x-y>2[/tex]

Learn more:

https://brainly.com/question/13447558?referrer=searchResults

simplify please was due 11:59

Answers

Answer:

3^12

Step-by-step explanation:

The answer is 3^12
————-

If the triangle are similar, write a similarity
I’ll give you a virtual hug if you answer this right

statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.
Explanation

Answers

Explanation:

We would use AA similarity criterion here because we can see two of the angles in each triangle are equal.

Help me pls ://////

Answers

Answer:

Sample size is 50. to Problem B= 40

Step-by-step explanation:

Coupon A-14$ rebate on 77$ jacket

Coupon B- 15% off on a 77$ jacket

Answers

Coupon A is the better option

Simplify. n6 • n5 • n4 ÷ n3 • n2 ÷ n

Answers

Answer:

Step-by-step explanation:

N⁶ · n⁵ · n⁴ ÷ n³ · n² ÷ n

n¹¹ · n⁴ ÷ n³ · n² ÷ n

n¹⁵ ÷ n³ · n² ÷ n

n⁵ · n² ÷ n

n¹⁰ ÷ n

n⁹

Answer:

1

Step-by-step explanation:

because u didnt have 1 plus its counting down on the numbers so i think its 1

BRO CAN SOMEONE PLEASE HELP ME THIS TEST IS A MAJOR GRADE I CAN HELP YOU WITH SOMETHING BUT PLEASE HELP ME WITH THIS
The length, l , of a rectangle is 3 cm longer than twice the width, w. The perimeter of the rectangle is 66 cm.

Which system of linear equations could be used to find the length and width of the rectangle?
A. l = 3w + 2
2l + 2w = 66

B.l = 3w + 2
l + w = 66

C.I= 2w + 3
l + w = 66

D. l = 2w + 3
2l + 2w = 66

Answers

Answer:

The system of linear equations that could be used to find the length and width of the rectangle will be:

l = 2w + 3 cm  

2w + 2l = 66

Hence, option D is correct.

Step-by-step explanation:

Let the width of the rectangle be = w cm

Given that the length, l, of a rectangle is 3 cm longer than twice the width, w.

Thus, the length of the rectangle be:

l = 2w + 3 cm  

We know that the perimeter of the rectangle is:

P = 2w + 2l

Given that the perimeter of the rectangle = P = 66 cm

so substitute P = 66 in P = 2w + 2l

P = 2w + 2l

66 = 2w + 2l

Therefore, the system of linear equations that could be used to find the length and width of the rectangle will be:

l = 2w + 3 cm  

2w + 2l = 66

Hence, option D is correct.

round $5.127 to the nearest hundredths​

Answers

Answer:

$5.13

Step-by-step explanation:

Answer:

$5.13 :)

Step-by-step explanation: the second number after the decimal is the hundredths place :)

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