Kyleigh invested $2800 in an account paying an interest rate of 5 1/2% compounded annually Ariana invested $2800 in an account paying in interest rate of 5 3/4%compounded continuously after 12 years how much more money with Ariana having her account then Kylie to the nearest dollar?

Answers

Answer 1

Answer:

$259

Step-by-step explanation:

\text{Rate 1: }5\tfrac{1}{2}\%=5+1/2=

Rate 1: 5  

2

1

​  

%=5+1/2=

\,\,5.5\%\rightarrow 0.055

5.5%→0.055

\text{Rate 2: }5\tfrac{3}{4}\%=5+3/4=

Rate 2: 5  

4

3

​  

%=5+3/4=

\,\,5.75\%\rightarrow 0.0575

5.75%→0.0575

\text{Calculate Final Amount for Kylie}

Calculate Final Amount for Kylie

\overline{\phantom{\text{Calculate Final Amount for Kylie}}}

Calculate Final Amount for Kylie

​  

 

\text{Compounded Annually:}

Compounded Annually:

A=P(1+r)^t

A=P(1+r)  

t

 

P=2800\hspace{35px}r=0.055\hspace{35px}t=12

P=2800r=0.055t=12

Given values

A=2800(1+0.055)^{12}

A=2800(1+0.055)  

12

 

Plug in values

A=2800(1.055)^{12}

A=2800(1.055)  

12

 

Add

A=5323.381

A=5323.381

Use calculator

\text{Calculate Final Amount for Ariana}

Calculate Final Amount for Ariana

\overline{\phantom{\text{Calculate Final Amount for Ariana}}}

Calculate Final Amount for Ariana

 

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

 

P=2800\hspace{35px}r=0.0575\hspace{35px}t=12

P=2800r=0.0575t=12

Given values

A=2800e^{0.0575(12)}

A=2800e  

0.0575(12)

 

Plug in

A=2800e^{0.69}

A=2800e  

0.69

 

Multiply

A=5582.4035

A=5582.4035

Use calculator (with e button)

\text{How much more money Ariana has:}

How much more money Ariana has:

5582.4035-5323.381

5582.4035−5323.381

259.0225

259.0225


Related Questions

If Ø lies in the quadrant IV what can be the value of cos Ø

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The values of Cos Ø is always positive in the Quadrant IV.

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Answer:

5000 millimeters

Step-by-step explanation:

5*1000=50

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Insert parentheses and brackets to make4x 8 - 4 + 1 = 12

Answers

Answer:

3

Step-by-step explanation:

Evaluate the expression: 12.6(2 – 3) + 26 - 4
A. – 4.6
B. 3.4
C. 21.55
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Answers

Answer:

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Answer:

hi robertlyonsdamron the answer will be B

Step-by-step explanation:

You can use the order of operations to evaluate the expression. Perform the subtraction inside the parentheses: two minus three equals negative one. Evaluate the exponents: two to the sixth power is sixty-four. Multiply and divide in order from left to right: Twelve point six times negative one equals negative twelve point six, and sixty-four divided by four is sixteen. Add and subtract in order from left to right: Negative twelve point six plus sixteen equals three point four.

Find the value of k given that both points lie on a line passing through the origin.

(−12,−2) and (k, 8)

PLEASE HELP

Answers

Answer:

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Step-by-step explanation:

hope it can help brainless me please thanks

Which fraction is equal to 0.245 repeating

Answers

Answer:

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Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

M is the midpoint of PQ. MQ=5x+8 and PQ = 6x+56, find PM

Answers

Answer:

PM = 58

Step-by-step explanation:

The question tells us that the full line has a value of 6x+56. The midpoint divides this line into equal pieces. We are also given the value of half (MQ) of the line (5x+8). By subtracting 5x+8 from 6x+56, we can figure out the value of the other half of the line (PM).

This gives us the expression for PM: x+48

Now, since these are both the two parts of the midpoint, by definition, we know they're equal.

You equal both equations and get x=10

You plug in 10 as x in the expression we got for PM (10+48), which gives us the value 58.

9) Graduation is around the corner! You
decide to throw a party to end all parties.
You want to have both a beef dish and a
chicken dish. The chicken dish costs $5 per
plate and the beef dish costs $7. There will
be 250 people at the party, and the total cost
of the food will be $1500. How chicken
dishes will there be?

Answers

Answer:

the awnser is 10000 b

Step-by-step explanation:

u have to add so much to get the awser

1) Simplify the expression
(3-4i)(1+5i)-(2-i)

2) Simplify the expression
^3√27x^6y^4

PLEASE SHOW WORK!

Answers

Answer:

21 + 12i

Step-by-step explanation:

Given

(3 - 4i)(1 + 5i) - (2 - i) expand the product of factors

= 3 + 11i - 20i² - 2 + i

= 3 + 11i + 20 - 2 + i  collect like terms

= 21 + 12i

Which fraction is close to zero?
a. 5/12 b. 8/12 c. 2/12 d. 4/6

Answers

Answer:

2/12

Step-by-step explanation:

Answer:

C) 2/12

Step-by-step explanation:

You need to convert the fractions to decimals (by dividing the top number by the bottom number).

5/12 = 0.416...

8/12 = 0.666...

2/12 = 0.166...

4/6 = 0.666...

As you can see, 2/12 in decimal form is closer to 0 than the other fractions.

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Answers

Answer:

C. t = [tex]\frac{30}{7}[/tex]

Step-by-step explanation:

Mixed number would be

4 and 2/7

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PLS HELP ME WITH THIS QUESTION!!!!!

Answers

Answer: 24

Step-by-step explanation:

Let the total number of problems be x.

After 15 minutes, [tex]x-\frac{1}{4}x=\frac{3}{4}x[/tex] problems are left.

After another 15 minutes, [tex]\frac{3}{4}x\left(1-\frac{1}{3})=\frac{3}{4}x\left(\frac{2}{3} \right)=\frac{1}{2}x[/tex] problems are left.

This is equal to 12, meaning x = 24.

convert $2.40 into cents

Answers

Answer: 240¢

Step-by-step explanation:

100¢ in a dollar.

$2.40 * 100 = 240

240¢

100 cents equals $1, multiply 100 times 2 then add 40

Volume of this prism

Answers

Answer:

188cm³

Step-by-step explanation:

Please someone help best answer gets brainleist

Answers

The answer would be A
Hope this help u :D
~ = not
-> = then

can somebody please help mee!!!!

Answers

Answer:

[tex]first \: w \: do \\ \\ 180 - 154 \\ \\ = 26 \\ \\ second \: we \: do \: \\ \\ x + 10 + x + 26 = 180 \\ \\ 2x + 36 = 180 \\ \\ 2x = 180 - 36 \\ \\2 x = 144 \\ \\ x = \frac{144}{2} \\ \\ x = 72[/tex]

Answer:

x = 72

Step-by-step explanation:

The exterior angle is the sum of non-adjacent interior angles:

x + x + 10 = 1542x = 154 - 102x = 144x = 144/2x = 72

The other interior angle is 82°

2. Find the value of x.

Answers

Answer:50

Step-by-step explanation:

what is the range in kilometers walked for charity

Answers

Answer:

Other events (such as charity walks) range from 20km to 100km taking a variety of times depending on the fitness and experience of the walker (average time on Oxfam 100km walk is 28-32 hours).

Step-by-step explanation:

yw!

find the sum -3/4 + 15 / 24
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B. 1/2
C. 1/8
D. -1/8 ​

Answers

it’s d.-1/8
i jus know

I will give brainiest who can help me get this right!!​

Answers

Answer:

it's D

Step-by-step explanation:

The equation equals 2 1/8 so yeeyeyye

Answer:

Option D

Step-by-step explanation:

11/8=1.3750

3/4=0.75

Now,

Since, this is the sum both the lines must be in positive in direction.

Option D is the only one with such quality, so no further process is required.

A snack food company decreases the size of their single-serving size tortilla chips bag to 3.0 ounces, which is 10% less than the original size.

What is the original size of the bag?
Round your answer to the nearest tenth.

Answers

Answer:

3.3

Step-by-step explanation:

cause i said so

Answer:

3.3

Step-by-step explanation:

im never wrong your welcome

Find the midpoint of (-6,2) (-4,-11)

Answers

Answer:

(-5,-4.5)

Step-by-step explanation:

When Professor Winchester grades class tests, he gives an A to the fourth (top) quartile, a B to the third quartile, a C to the second quartile, and a D to the first quartile. The box plot shows the distribution of scores on a test. What is the range of scores for the students who received As?


4


8


14


28

Answers

Answer:

Step-by-step explanation:

Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) and (6,7).

Answers

Answer:  y = -(4/3)x + 1

Step-by-step explanation:

Let's start with finding an equation of a straight line (y=mx+b) that goes through points (-2,1) and (6,7).

The slope of a line, m, is the change in y for the change in x, or Rise/Run.

This is derived from the two points.

Rise (7-1) = 6

Run (6 - (-2)) = 8

Rise/Run = 6/8 or 3/4

The line is therefore y = (3/4)x + b

Find b by using one of the two points.  I'll use (-2,1), but the other would also work.

y = (3/4)x + b

1 = (3/4)(-2) + b

1 = -(6/4) + b

b = 10/4

The line becomes y = (3/4)x + 10/4

--------

A line perpendicular to this will have a slope that is the negative inverse of the original line.  The negative inverse of (3/4) is -(4/3).

The perpendicular line will be:

y = -(4/3)x + b

Use point (-6,9) to find b:

y = -(4/3)x + b

9 = -(4/3)*(-6) + b

9 = (24/3) + b

b = (27/3 - 24/3) = 3/3 = 1

The line is y = -(4/3)x + 1

At a local print shop, 10 copies can be made for $4. At this rate, how how many copies
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Fill out the table of equivalent ratios until you have found the value of x.

Answers

Answer:

85 copies

Step-by-step explanation:

use the comparison method

no. of copies. $

10 4

x. 34

4x = 34×10

x= 340/4

x= 85

the value of x is 85

Answer:

85 copies

Step-by-step explanation:

Number of copies for $4 = 10

Number of copies for $1 = 10 ÷ 4

Number of copies for $34 = [tex]\frac{10}{4}*34[/tex]

                  = 5*17

                   = 85 copies

Could someone please help answer this, will give brainliest, please no spam, thank you! (homework help)

Answers

Answer:

X is greater then or equal to - 15

Which organism has an exoskeleton
crab
tree
deer
elephant
PLS HURRY!!!!

Answers

a crab has a exoskeleton

crabs have exoskeletons instead of endoskeletons

Tavon has a gift card for $170 that loses $4 for each 30-day period it is not used. He has another gift card for $150 that loses $3.50 for each 30-day period it is not
used
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal
b. What will the value of each card be when they have equal value?

Answers

Answer:

37

Step-by-step explanation:

It will take twenty 30-day periods until the value of the gift cards will be equal. The value of each card when they have equal​ value is $10

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Let x represent the number of​ 30-day periods until the value of the gift cards will be equal.

Tavon has a gift card for $90 that loses $4 for each​ 30-day period it is not used. This means that x 30-day periods, the amount left would be

90 - 4x

He has another gift card for $ 80 that loses $3.50 for each​ 30-day period it is not used. This means that x 30-day periods, the amount left would be

80 - 3.5x

For the amounts left on each card to be the same, the number of periods would be

90 - 4x = 80 - 3.5x

90 - 80 = - 3.5x + 4x

10 = 0.5x

x = 10/0.5

x = 20

The value of each card when they have equal​ value is

90 - 4 × 20 = 90 - 80

= $10

Therefore, It will take twenty 30-day periods until the value of the gift cards will be equal. The value of each card when they have equal​ value is $10

To know more about an expression follow

https://brainly.com/question/14593633

#SPJ2

what is 15-10c=13 worked out

Answers

Answer:

[tex]15 - 10c = 13 \\ 10c = 15 - 13 \\ 10c = 2 \\ c = \frac{2}{10} \\ c = \frac{1}{5} [/tex]

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