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

A recipe for sparkling grape jucie calle for 1 1/2 quarts of sparkling water and 3/4 quart of grape jucie. How much sparkling water would you need to mix with 9 quarts of grape jucie?

Answers

Answer: 18 quarts of sparkling water

Step-by-step explanation:

From the question, we are informed that a recipe for sparkling grape jucie calle for 1 1/2 quarts of sparkling water and 3/4 quart of grape jucie.

When there's an increase in the quarts of grape juice to 9, it simply means that the former grape juice has been multiplied 12 times (9 ÷ 3/4 = 9 × 4/3 = 12).

Therefore, we would also multiplybl the sparkling water given by 12 to get the new quantity needed. This will be:

= 1 1/2 × 12

= 3/2 × 12

= 18 quarts of sparkling water

Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.

A bar diagram. The top bar contains 20.00. The bottom bars contain c and 9.79.

20.00 = c + 9.79

What is the value of c, and what does it represent in this problem?
The value is $10.21, and it shows the cost of Pablo’s lunch.
The value is $29.79, and it shows the cost of Pablo’s lunch.
The value is $10.21, and it shows the change received
The value is $29.79, and it shows the change Pablo received

Answers

Answer:

The value is $10.21, and it shows the change received

Step-by-step explanation:

I know for a fact it is 10.21 but since there is no graph and from what you told I believe this is the answer. Brainliest please ???

Help I will make you as brainlist please

Answers

Answer: C

Step-by-step i just know

c
i added and multiplied them all

rory campbell plz help me, or at least anyone that can give me the right answer plzzz

Answers

the answer is (1.5, 1)

Help ASAP!!! Easy question i guess?

Which of the following two-dimensional shapes can be rotated to create a sphere?

A. Triangle
B. Square
C. Circle
D. Ellipse

please give an explanation and not just a letter or answer. Thank you.

Answers

The answer is C. circle because a sphere is formed by rotating a circle by any of its diameters

The shape that can be rotated to create a sphere is the circle (option C).

A sphere is a three-dimensional object with all points equidistant from its center. When a circle is rotated about its center axis, it creates a three-dimensional shape that perfectly matches the definition of a sphere.

Let's consider the other options and why they cannot be rotated to form a sphere:

A. Triangle: A triangle is a two-dimensional shape with straight sides. Rotating a triangle around any axis would not result in a three-dimensional shape with all points equidistant from its center, which is the defining characteristic of a sphere.

B. Square: Similarly, a square is a two-dimensional shape with straight sides. Rotating a square around any axis would not create a sphere, as it would still retain its flat, planar nature.

D. Ellipse: An ellipse is a two-dimensional shape resembling a squashed or stretched circle. Rotating an ellipse would not result in a sphere, as it would still retain its elliptical shape.

Therefore, the shape that can be rotated to create a sphere is the circle (option C) due to its symmetrical and curved nature.

To know more about sphere click here :

https://brainly.com/question/27821560

#SPJ2

Solve if x is equal to 4
y=2x
y=?

Answers

Answer:

8

Step-by-step explanation:

because 2 time x=4 then multiply them and you get 8

Does y=-2x represent a function

Answers

yeah
.......................

Find the solution to the system of equations. y= 2x + 3 (-1, [?]) ​

Answers

Answer:

(-1, 1)

Step-by-step explanation:

plug in -1 for x

y = 2(-1) + 3

y = -2 + 3

y = 1

(-1, 1)

What is the measure of <1?
A. 50
B. 60
C. 80
D. 100

Answers

Answer:

Your answer already :) aka 50 degrees

Step-by-step explanation:

The next two angles are the same so just do 180-80 (100) then 100/2 and get 50 :]

Answer:

A 50º

Step-by-step explanation:

sum of the interior angle of a triangle = 180º

⦣1 = ⦣2

⦣1 and⦣2 = 180º - 80º = 100º

100º/2 = 50º

Explain the power of products property and give an example

Answers

Answer:

We use the power of a product rule when there are more than one variables being multiplied together and raised to a power. The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.

3 raised to the power of 4 is = 81

does anyone know how to do this-​

Answers

Step-by-step explanation:

117+114= 231

360-231= 129

Now find two numbers that add up to 129

Answer:

63°

Step-by-step explanation:

B + 117° = 180° (angles on the same side of transversal)

B = 180° - 117°

B = 63°

which products result in difference of squares
(x-y)(y-x)

(6-y)(6-y)

(3+xz)(-3+xz)

(y^2-xy)(y^2+xy)

Answers

Answer:

[tex](3+xz)(-3+xz)[/tex]

[tex](y^2-xy)(y^2+xy)[/tex]

Step-by-step explanation:

The Difference of Squares

Any difference of two squared monomial results in a factored form like shown below:

[tex]a^2-b^2=(a-b)(a+b)[/tex]

Similarly:

[tex](a-b)(a+b)=a^2-b^2[/tex]

For a product of binomials to be a difference of squares, they must be in the described form.

------------------------

(x-y)(y-x) can be rewritten as:

-(x-y)(x-y)

Since both binomials are identicals, the product will not result in a difference of squares.

-----------------------

(6-y)(6-Y)

Since both binomials are identicals, the product will not result in a difference of squares.

-----------------------

(3+xz)(-3+xz) can be rewritten as:

(xz+3)(xz-3). This product is a sum multiplied by a difference of the very same terms, thus the result is a difference of squares:

[tex](3+xz)(-3+xz)=(xz)^2-9[/tex]

-----------------------

[tex](y^2-xy)(y^2+xy)[/tex]. This product is a sum multiplied by a difference of the very same terms, thus the result is a difference of squares:

[tex](y^2-xy)(y^2+xy)=y^4-(xy)^2[/tex]

-----------------------

Summarizing:

(3+xz)(-3+xz)

[tex](y^2-xy)(y^2+xy)[/tex]

What is the value of x?

Answers

Answer: x=39

Step-by-step explanation:

You would subtract 107 and 68 to get your answer. Therefore, your answer would be 39.

Answer:

X=39

Step-by-step explanation:

180 - 107 = 73

180 - 68 = 112

73 + 68 = 141

180 - 141 = 39


Which digit in the number 98,765.4321 is in the thousandths place?

A. 1

B. 2

C. 8

D. 9

Answers

Answer:

B.2

Step-by-step explanation:

Answer:

B. 2

Step-by-step explanation:

By thousandth with a "th" we are referring to decimal places. The 4 is in the tenths place, the 3 is in the hundredths place, and the 2 is in the thousandths place

COME HERE IF U KNOW HOW TO ROUND

Round to the nearest one:

850,265.2

Answers

Answer:

850265

Step-by-step explanation:

Is the equation y=3x in slope-intercept form? Explain. The equation y=3x in slope-intercept form. Question 2 The slope is and the y-intercept is a .

Answers

Given:

The given equation is

[tex]y=3x[/tex]

To find:

Whether the given equation is in the slope intercept form or not, then find the slope and y-intercept.

Solution:

Slope intercept form of a linear function is

[tex]y=mx+b[/tex]            ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y=3x[/tex]    

It can be written as

[tex]y=3x+0[/tex]               ...(ii)

On comparing (i) and (ii), we get

[tex]m=3,b=0[/tex]

Therefore, the given equations is in slope intercept form. The slope of the line is 3 and the y-intercept is 0.

help meee 50 points explain ALL OF IT

Answers

Answer:

2

=3

Step-by-step explanation:

yes

Divide. Write the quotient in lowest terms. 5/8 divided by 1 1/3

Answers

Answer: It should be 15/32

Step-by-step explanation:

Answer:

5/8 divide by 11/3

5/8 times 3/11 = 15/88

Cannot be reduced any lower.

-190*(x)483-913+342-4569-(y)94=

Answers

Answer:

-91770x - 94y - 5140

Step-by-step explanation:

HELP ME ASAPPP

Write the standard equation of a circle with center (2, 1) and radius 8.

Answers

Answer:

C

=

(

a

,

b

)

the center coordinates of circle

a

=

2

 ,

b

=

1

  ,

r

=

8

Step-by-step explanation:

Is 2x+7=-3x+8 one solution?

Answers

Answer:

yes, it is x=1/5

Step-by-step explanation:

i can give you the steps if you want

Answer : x= 1/5

Step by step: first collect like terms so it would be 2x+3x =8-7 which is also 5x= 1 and then get x alone by dividing by 5
So it becomes 1/5

Luciana is adding water to a pool at a constant rate. Before she added any water, the pool had $12,000$ gallons of water. Luciana is adding $9$ gallons of water each minute.

Which equation represents the total number of gallons of water in the pool, $w$ , after Luciana adds water for $m$ number of minutes?

Answers

Answer:

T(m) = 12,000 gallons + (9 gallons/ minute)m

Step-by-step explanation:

This is a linear function with beginning value 12,000 gallons and unit rate of increase 9 gallons/minute:

T(m) = 12,000 gallons + (9 gallons/ minute)m

PS:  Please don't use " $ " to set off numbers.  Not needed!

Solve 7(f-5) = 28
Help meeeee

Answers

7f - 35 = 28
7f = 63
F = 9

Answer:

7(f-5)=28

f-5=28/7

f-5=4

f=9

A trapezoid with two right angles and two 14-inch sides is a unique quadrilateral.
True or False ?

Answers

Answer:

No

Step-by-step explanation:

we dont have 3 side measurements and two known diagonals

4(x+3)=8 whats is the value of x value

Answers

Answer:

-1

Step-by-step explanation:

4(x+3)=8

4x+12=8

    -12   -12

4x=-4

x=-1

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4(x + 3) = 8}\\\mathsf{\rightarrow 4(1x + 3) = 8}\\\mathsf{\rightarrow 4(x) + 4(3) = 8}\\\mathsf{\rightarrow 4(1x) + 4(3) = 8}\\\mathsf{\rightarrow 4x + 12 = 8}\\\\\large\text{SUBTRACT 8 to BOTH SIDES}\\\mathsf{\rightarrow 4x + 12 - 12 = 8 - 12}\\\\\large\text{SIMPLIFY IT!}\\\mathsf{\rightarrow 4x = 8 - 12}\\\mathsf{\rightarrow 4x = -4}\\\\\large\text{DIVIDE 4 to BOTH SIDES}\\\mathsf{\rightarrow \dfrac{4x}{4}= \dfrac{-4}{4}}[/tex]

[tex]\large\text{SIMPLIFY IT!}\\\mathsf{\rightarrow x = \dfrac{-4}{4}}\\\mathsf{\rightarrow x = -1}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = -1}}}\huge\checkmark[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Guillermo bought some reams of paper for $10 each and a $100 printer. He spent a total of $450. Write and solve an equation to find the number of reams of paper Guillermo purchased.

Answers

Answer:

x = amount of paper

10x + 100 = 450

10x = 350

x = 35

Brainiest plz :)

WILL GIVE BRAINLIEST

Answers

Answer:

a)  g(-2) = -2

b)  g(1) = 1

c)  g(x) = 1 then x = 1 or -1

d)  D: {all reals}

     R: {y ≤ 2}

Step-by-step explanation:

What is the least number of bills Sean could use to make $40

Answers

Answer:

2 bills (20 and 20)

Step-by-step explanation:

There is no $40 bill, so 2 is the least number you can use to make 40$, which would be 20 and 20

Answer:

2

Step-by-step explanation:

2, $20 bills?

If the slope of a line is 4 and you start at the origin (0, 0), name two points that
would be on that line? *

Answers

Answer: (4,1) and (8,2)

Step-by-step explanation: i did rise over run and it was fairly easy since the slope is a basic line that does have fractions or decimals

What equation represents the slope intercept form of the line below Y intercept =(0,-2) slope = 2/3

Answers

Answer: [tex]y = \frac{2}{3} x - 2[/tex]

Step-by-step explanation:

The slope intercept form is y = mx + b

Where m is our slope and b is our y-intercept

We're given a slope of 2/3

We're given a y-intercept of -2

Substituting into y = mx + b gives

[tex]y = \frac{2}{3} x - 2[/tex]

Answer:

y = (2/3)x - 2

Step-by-step explanation:

Use the slope-intercept form y = mx + b.  Here b = -2 and m = 2/3.  Making these replacements, we get:

y = (2/3)x - 2

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