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

Find the Product and the quotient. 1/3 x 1/6 =
1/6 divided by 3 =

Answers

Answer:

1/3 x 1/6 = 1/18

1/6 divided by 3 = 1/6 x 1/3 = 1/18

Same answer for both.

what is 9/32 + 7/8 plz help

Answers

Answer:

1 5/32

Step-by-step explanation:

First, find common denominators. What you do to the denominator, you must do to the numerator.

First, multiply 4 to both the numerator and denominator of the second fraction:

(7/8)(4/4) = (7 * 4)/(8 * 4) = 28/32

Next, add across:

9/32 + 28/32 = 37/32

Simplify. Turn the improper fraction into a mixed fraction:

37/32 = (32 + 5)/32 = 1 5/32

1 5/32 is your answer.

~

Answer:

37 /32

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 32 is 32

For the 1st fraction, since 8 × 4 = 32,

7 /8  =  7 × 4

       8 × 4 =  28 /32

Likewise, for the 2nd fraction, since 32 × 1 = 32,

9 /32  =  9 × 1

          32 × 1 =  9 /32

Add the two fractions:

28 /32 +  9/32 =  28 + 9 /32  =  37 /32

So, 7/8 + 9/32 = 37/32

In mixed form: 1 5 /32

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PLEEEEEEEASE HELP


During a scuba dive, Lainey descended to a point 26 feet below the ocean surface. She continued her descent at a rate of 26 feet per minute. Enter an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 64 feet below the ocean surface. Use t to represent the variable for the minutes Lainey can continue to descend.


INEQUALITIES!!!

Answers

Answer:

1.46 minutes 38F+26F=64 feet

Step-by-step explanation:

T/F

1/26

1.46/38

2/52

delta math (z^r)^2r i need to simplify

Answers

Answer:

The answer is r[tex]z^{2r}[/tex]

Step-by-step explanation:

I urgently need help!!!!

Answers

Answer:

The triangle is isosceles and not right  

Hope this helps.

Answer:

A or B

Step-by-step explanation:

That looks like an isosceles triangle. I'm not sure what they mean by right or not. I'd say the first or second option.

How many triangles can be formed with the angle measures: 20, 70, and 90 degrees?

Answers

Answer:

A right triangle with degrees 20, 70, 90.

Step-by-step explanation:

The ordered pair that is a solution of the equation y= 162 - 12 is:

Answers

Answer:

the answer is 150

Step-by-step explanation:

162-12=150y

Answer:

(0, 150)

Step-by-step explanation:

UGENT! Please help due in 10 minutes :c I tried but I just..never got it..

Answers

Answer:

#19:the rule is every-time use the number and times it by 80%

#20:using a calculator, i got 16. i think it is wrong, but that is what i got.

2.9 months to 4.9 months​

Answers

What’s exactly is the question?

Hi there!

For 2.9 months to reach 4.9 month, simply subtract both terms to find the result of months left to get to 4.9 months.

[tex]4.9-2.9=4-9+9-9=2.0[/tex]

Final Result: 2.0

The Sullivans purchased $195.60 worth of school
clothes during their back to school shopping haul.
The sales tax in their state is 6%. How much sales
tax did they have to pay?

Answers

Answer:

$11.74

Step-by-step explanation:

195.60/100 X 6 = 11.736

monetary unit so round to 2dp

11.74

Solve 3x - 5 = 16
Write your solution starting with x= .

Answers

Answer:

x =7

Step-by-step explanation:

To solve this, you must get x by itself.

3x-5 = 16      1.  Add 5 on both sides

3x = 21         2. Divide by 3 on both sides

x = 7

✨ Easy points if you know how to do slope well ✨

Answers

Answer:

I believe it's A

Step-by-step explanation:

Answer:

its y=x

Step-by-step explanation:

a rational number is defined as any number that can be written as a fraction with a non zero denomination
true or false?!

Answers

Answer:

True

Step-by-step explanation:

opposite is irrational number

evaluate the trigonometric funtion of the angle theta​

Answers

The last side would be 10

(-6-4) divided by (-5)

Answers

Answer:

2

Step-by-step explanation:

Simplify the following:

(-6 - 4)/(-5)

Hint: | Group the negative terms in -6 - 4 together and factor out the minus sign.

-6 - 4 = -(6 + 4):

(-(6 + 4))/(-5)

Hint: | Evaluate 6 + 4.

6 + 4 = 10:

(-10)/(-5)

Hint: | In (-10)/(-5), the numbers 10 in the numerator and -5 in the denominator have gcd greater than one.

The gcd of 10 and -5 is 5, so (-10)/(-5) = (-(5×2))/(5 (-1)) = 5/5×(-2)/(-1) = (-2)/(-1):

(-2)/(-1)

Hint: | Cancel common terms in the numerator and denominator of (-2)/(-1).

(-2)/(-1) = (-1)/(-1)×2 = 2:

Answer: 2

The equivalent value of the fraction is A = 2

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the numerator of the fraction be p

Let the denominator of the fraction be p

Now , A = p/q

when the value of p = ( -6 - 4 )

And , when the value of q = ( -5 )

On simplifying the equation , we get

A = ( -6 - 4 ) / ( -5 )

So , the left hand side of the equation is equated to the right hand side by the value of ( -6 - 4 ) / ( -5 )

A = ( -6 - 4 ) / ( -5 )

A = ( -10 ) / ( -5 )

On simplifying , we get

Divide by -1 on both numerator and the denominator , we get

A = 10/5

A = 2

Therefore , the value of A = 2

Hence , the fraction is A = 2

To learn more about fractions click :

https://brainly.com/question/29766013

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At 9:00 a.m., it starts snowing outside Dario's home at the rate of 6 inches per hour. If Dario's front door is 84 inches tall, at what time will the snow reach the very top of Dario's front door?

30 POINTS PLUS BRAINLIEST!!!

Answers

At 11 pm it will cover the door

Answer:

Step-by-step explanation:

at 9:00AM starts snowing, 84/6=14

9:00 AM..........................0 inches

10:00AM..........................6inches

11:00AM...........................12 inches

12:00PM...........................18 inches

.......................................................

11:00PM..............................84 inches

A group of 15 people each bought both a book that cost x dollars and a bookmark that cost $1. A group of 3 people each bought both a book that cost x dollars and a backpack that cost $36. Both groups spent the same amount of money. What is the price of the book?

Answers

Answer:

$1.40

Step-by-step explanation:

Answer:

The price of the book is $7.75.

Step-by-step explanation:

Let's first establish an equation.

If I buy a book costing [tex]x[/tex] dollars and a bookmark costing 1 dollars, I will have spent [tex]x + 1[/tex] dollars. So a group of 15 people doing the same will have spent [tex]15(x+1) = 15x + 15[/tex] dollars.

Analogously, the group of 3 people has spent [tex]3(x+36) = 3x + 108[/tex] dollars.

Since we know that both groups spent the same amount of money, we can set the two expressions equal to each other:

[tex]15x+15=3x+108\\12x=93\\x=7.75[/tex]

Because [tex]x[/tex] was the price of the book, which was asked for in the question, we conclude that the answer is $7.75.

I need help..........

Answers

49 would be in the next space after 42 because this sequence is counting by 7s

Seth is a gold miner. The function P = 45g + 15 represents the amount of money he gets for each gram, g, of gold. If he finds a nugget, the value of the nugget is 1.5 times the value of the weight of gold. The function B = 1.5P represents the amount of money for a gold nugget. Which function represents the amount of money for a gold nugget weighing g grams?

Answers

Answer: 67.5G + 22.5

Step-by-step explanation:

Nicola used 25% of the milk she collected from her goats this morning to make cheese. If she has 8.4 quarts of milk left over, how many quarts of milk did she collect this morning?

PLEASE HELP WORTH 35 POINTS

Answers

Answer:

11.2

Step-by-step explanation:

The answer is 11.2

11.2*.25=2.8

11.2-2.8=8.4

Hope this helps <3

Peter is renting two kinds of rafts for a vacation company. One type seats 3
people and the other seats 5 people. If 53 people are using the vacation
company and he rents 13 rafts, how many of each type of raft does he rent?

Answers

Answer:

Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.

Step-by-step explanation:

Let [tex]x[/tex] denote the number of rafts seating 3 people and [tex]y[/tex] the number of rafts seating 5 people. The total number of rafts is 13, so [tex]x+y=13[/tex]. We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so [tex]3x+5y=53[/tex].

It's always a good idea to put these equations under each other:

[tex]\left \{ {{x+y = 13} \atop {3x+5y=53}} \right.[/tex]

We can subtract the first equation three times from the second one to obtain [tex](3x+5y)-3(x+y) = 53 - 3(13)\\3x-3x + 5y - 3y = 53 - 39\\2y = 14\\y=\frac{14}{2} = 7[/tex]

Now, substitute this found value for [tex]y[/tex] into [tex]x+y = 13[/tex] and we see that [tex]x=6[/tex]. We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.

Please help. I attached the file below

Answers

Answer:

33.2

Step-by-step explanation:

41.5÷1.25=

33.2

Answer:

31.6 or 31 6/10 or 31 3/5

Step-by-step explanation:

39.5/1.25 = 31.6

Jack gets 31.6 miles per gallon.

.25 = 1/4

.5 = 1/2

3/4 divided by 6/7 find the quotient

Answers

Answer:

Math

Step-by-step explanation:

12

Answer:

0.875

Step-by-step explanation:

7/8

0.875

A circle has a diameter of 6ft. What is the circumference of the circle?​

Answers

6x3.14 = 18.84. That should be the answer

James has $32 and earns $10 per week for his allowance.

What is the initial value for the scenario described?

10
32
42
320

Answers

Answer:

32

Step-by-step explanation:

it says he already had 32 and earns 10 per week so initial is 32 and increment is 10/week

8 is 25% of what number?

Answers

Answer:

32

Step-by-step explanation:

25% is the same as 1/4

8 times 4 is 32 so 8 is 25% of 32

Answer:

25% would be 8

50% would be 16

75% would be 24

100% would be 32

Find the product of the following polynomials. (3x+2)(5x-4)

Answers

Answer:

        2

   15x  -2x-8    

Step-by-step explanation:

the two means squared btw

Answer:

The number one

Step-by-step explanation:

(3x+2)(5x−4)

=(3x+2)(5x+−4)

=(3x)(5x)+(3x)(−4)+(2)(5x)+(2)(−4)

=15x2−12x+10x−8

=15x2−2x−8

A line with a slope of
17
19
passes through the point (0, 18). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Just trying to get points hope you find the answer

Mai biked 3 1/2 miles today, and Noah biked 1 1/8 miles. how many times the length of Noah's bike ride was Mia's bike ride

Answers

Answer:

3

Step-by-step explanation:

Need help ASAP!
Which inequality is represented by this graph

Answers

Answer:

a

the first answer

Step-by-step explanation:

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