Nora invested $6,300 in an account paying an interest rate of 7\tfrac{3}{4}7 4 3 ​ % compounded continuously. Ella invested $6,300 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 ​ % compounded monthly. After 11 years, how much more money would Nora have in her account than Ella, to the nearest dollar?

Answers

Answer 1

Answer:

824

Step-by-step explanation:

DELTAMATH

Answer 2

The amount of money would Nora have more in her account than Ella after 11 years is $714 to the nearest dollar.

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Nora invested $6,300 in an account paying an interest rate of 7(3/4)% compounded continuously. Convert this rate of interst in fractional form as,

[tex]r=7\dfrac{3}{4}\\r=\dfrac{31}{4}[/tex]

The principal amount of Nora is $6300 and time period is 11 years. Thus the amount in her account after 11 years will be,

[tex]A=6300\times\left(1+\dfrac{31}{4\times100}\right)^{11}\\A=14319.59[/tex]

Ella invested $6,300 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 ​ % compounded monthly.  Convert this rate of interst in fractional form as,

[tex]r=7\dfrac{1}{4}\\r=\dfrac{29}{4}[/tex]

The principal amount of Elia is $6300 and time period is 11 years. Thus the amount in her account after 11 years will be,

[tex]A=6300\times\left(1+\dfrac{29}{4\times100}\right)^{11}\\A=13605.39[/tex]

The differnce is,

[tex]d=14319.59-13605.39\\d=714.20\\d\approx714[/tex]

Thus the amount of money would Nora have more in her account than Ella after 11 years is $714 to the nearest dollar.

Learn more about the compound interest here;

https://brainly.com/question/24274034


Related Questions

Help please!!!!!! :( ​

Answers

Answer:

2). 2

3). 5

4). 3

5). 6

Step-by-step explanation:

Which equation represents the circle shown on the graph below.
a. x2 + (y - 3)2 = 4
b. x2 + y + 3)2 = 4
c. x2 + (y - 3)2 = 16
d. x2 + y + 3)2 = 16

Answers

Answer:

C

Step-by-step explanation:

Edge2021

i need help!! i just need the equation that’s all, i’ll give brainliest

Answers

Answer:

(x²-16x)

Step-by-step explanation:

thats all just multiply then

What is/ are the constant(s) in this expression?

3a + 6y + 18ay + 9 - 10

3a and 6y

9 and -10

- 9 and 10

9 and 10

Answers

Answer:

9 and -10 are constant

Step-by-step explanation:

constant means it shouldnt have any variable attached to it

Answer:

3,6,18,9,10

Step-by-step explanation:

numbers

5/8+(-3/5)+(-5/8)+5/3 what is the answer

Answers

Answer:

16/15

Step-by-step explanation:

I hope this is helpfull

what is 82/84 - 3/12​

Answers

Answer:

61/84

Step-by-step explanation:

i just finished doing that problem

Answer: 61/84

Step-by-step explanation:

82

84

3

12

=

82

84

+

−3

12

=

41

42

+

−1

4

=

82

84

+

−21

84

=

82+−21

84

=

61

84

Somebody please help me

Answers

Answer:

A). Scale factor = [tex]\frac{1}{4}[/tex]

B). Length of the unknown side = 2.75 feet

Step-by-step explanation:

Part A

Since, the large rectangle was scaled by a scale factor 'k' to form the smaller rectangle,

Scale factor = [tex]\frac{\text{Side length of the image}}{\text{Side length of the preimage}}[/tex]

                    = [tex]\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}[/tex]

                    = [tex]\frac{4}{16}[/tex]

                    = [tex]\frac{1}{4}[/tex]

Part B

Scale factor = [tex]\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}[/tex]

[tex]\frac{1}{4}=\frac{\text{Side length of the smaller rectangle}}{11}[/tex]

Therefore, side length of the unknown side = [tex]\frac{11}{4}[/tex] = 2.75 feet

Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

Answers

Answer:

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

Step-by-step explanation:

We want to find the equation of the line that is parallel to:

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

And passes through (-3,5).

First, we need to determine the slope of our new line.

Remember that parallel lines have the same slope.

Since the slope of our original line is -2/3, this means that the slope of our new line must also be -2/3.

Now, we can use the point-slope form given by:

[tex]y-y_1=m(x-x_1)[/tex]

We will let (-3, 5) be (x₁, y₁). By substitution:

[tex]\displaystyle y-(5)=-\frac{2}{3}(x-(-3))[/tex]

Simplify:

[tex]\displaystyle y-5=-\frac{2}{3}(x+3)[/tex]

Distribute:

[tex]\displaystyle y-5=-\frac{2}{3}x-2[/tex]

Add 5 to both sides. So, our equation is:

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

Answer:

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

Step-by-step explanation:

5 = –⅔[–3] + b

2

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

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.

I am joyous to assist you at any time.

Help find the missing angles? ​

Answers

Step-by-step explanation:

a=90

e=45

f=45

plzzzz mark me brainliest if it helps you then

this is my last question please help ​

Answers

Answer:

N

Step-by-step explanation:

I hope this helps!!

HELP ASAP
The function f(n) = 3n + 19 represents an arithmetic sequence. What is
the 32nd term of the sequence? *

Answers

Step-by-step explanation:

f(n) = 3n + 19

When n = 32, f(32) = 3(32) + 19 = 96 + 19 = 115.

The 32nd term of the AP is 115.

help me with this pls​

Answers

Answer:

9, -8, 15

Step-by-step explanation:

Equation 1

[tex]5(x+7)-3(x-4)=7x+2 \\ \\ 5x+35-3x+12=7x+2 \\ \\ 2x+47=7x+2 \\ \\ 47=5x+2 \\ \\ 45=5x \\ \\ x=9[/tex]

Equation 2

[tex]4(3x+5)-3=9x-7 \\ \\ 12x+20-3=9x-7 \\ \\ 12x+17=9x-7 \\ \\ 3x+17=-7 \\ \\ 3x=-24 \\ \\ x=-8[/tex]

Equation 3

[tex]\frac{1}{3}(5x-9)=2\left(\frac{1}{3}x+6 \right) \\ \\ 5x-9=2(x+18) \\ \\ 5x-9=2x+36 \\ \\ 3x-9=36 \\ \\ 3x=45 \\ \\ x=15[/tex]

Which number is a factor of 10, but not a multiple of 2

Answers

Answer:

Five is as 2 x5=10, but it doest come in the table of 2

Step-by-step explanation:

To show -1 + (-6) on the number line, which directions would you move? *
5 points
right one unit, then left 6 units

Answers

Answer:

you would move left once, then left again 6 times. so 7 times to the left.

Step-by-step explanation:

You're moving left because you're working with negative numbers, so -1 would be the first step, and then just move 6 times more to the left. When you work with positives you do the same but to the right.

You will have to move left by 6 units.

What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is a number line.

The given expression is -

-1 + (-6)

on solving, we get -

- 1 - 6

- 7

You will have to move left by 6 units.

Therefore, you will have to move left by 6 units.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Somebody help me w this!!!

Answers

Answer:

1/4 !

Step-by-step explanation:

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

Answers

I believe that the answer is 8 but I’m not 100%


If a = -3, find the value of 3a²

Answers

Step-by-step explanation:

given

a = - 3

3a² = 3 * ( -3) ²

= 3 * 9

= 27

The value of 3a² is 27.

Need help ASAP. Please answer quick

Answers

Answer:

Energy used, input

Monthly bill, output

Step-by-step explanation:

the bill is affected by how much energy u use

HOPE THIS HELPS!

Brainliest?

8( -4 - 9h) I REALLY REALLY REALLY NEED HELP PLEASE HELP

Answers

Answer:

-32 - 72h ...............

Answer: -32 - 72h

Step-by-step explanation:

so, i am not sure if this is 100% correct, but it should be if i read the problem correctly.

first, i multiplied the parentheses by 8.

-8 x 4 - 8 x 9h

then, i multiplied and calculated it.

-32 - 72h

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 4600 seats. The students filled 92% of the seats in the theater. How many 6th graders went on the trip?

Answers

Answer:

4232

Step-by-step explanation:

92% x 4600

4232

Find the output, y, when the input,x, is 6.
y=

Answers

Answer:

y = 8

General Formulas and Concepts:

Algebra I

Reading a Cartesian PlaneCoordinatesFunctions

Step-by-step explanation:

What the question is asking is for the y-value when the x-value is equal. According to the graph, when x = 6, y = 8. Therefore, y = 8.

Answer:

8

Step-by-step explanation:

I got it correct and it is on khan :) I can prove it :D

Which expression is equivalent to the given function?

y= x²+6x + 9

A. (+3)
B. (x + 6)²
C. (x +9)²
D. (x+4.5)²​

Answers

the answer is (x+3)^2

I think this is what you meant to put on A. If so, A is the answer!

Find the corresponding angles, alternate interior angles, and alternate exterior angles .

Answers

Answer:

94

Step By Step Explanation:

6X8=48

5X7=35

1X3=3

2X4=8

48+35+3+8= 94

48+35=83

3+8=11

83+11=94

94

Which triangles legs do not belong with the other three? Explain ur reasoning

Answers

Answer:

The second one.

Step-by-step explanation:

It's not a right triangle.

Answer:

The second triangle

Step-by-step explanation:

The reason is that is doesn't have a 90 degree angle

All the other triangles are right angled triangle except for the second one

5²- 4 +3 • (9 • 2) /2=

4³ - 4(8-7) +12=

6(5 +4) + 4 – 3 •4 =

10²- 4 + 1 • (9 • 2) /2 =

32 -5 + 8 / 2 • 5 =

3² • (1+4) + 4 – 3 • 4 =

9² • (1+4) + 7 – 3 • 4 =

3³ - (2+4) + 5 – 3 • 3 =

(2 + 5) – 3 + 4 • 2 + 1³ =

I NEED HELP!!!! I DONT GET THISSSS

Answers

Okay number 1
Would be 105

Which of the following equations have no solutions?
Choose all answers that apply:
A
33. 33 = 331 – 25
B
33.: + 33 = 33. - 25
33.25 = 33r - 25
332 + 25 = 33r - 25
Which is no solution

Answers

Answer:

A, B & D

Step-by-step explanation:

Because if you subtract one of the constants from both sides then you should only have equal variables. In other words, both sides have to be identical in this situation.

33x-33= 33x + 25

33x = 33x + 58 No matter what you make x, the right will be 58 bigger than the right so there is no solution.

33x+33=33x+25

33x+8= 33x nope no solution

33x+25=33x+25

33x = 33x both sides identical so there is a solution

33x-25 = 33x +25

33x= 33x+50

Pakisagutan lang po help pls​

Answers

Answer:

Step-by-step explanation:

S  50 m = 0.050 km

A  ∵ 1 m = 100 cm

    ∴ 5 m = 500 cm

K  ∵ 1000 dm = 0.1 km

    ∴ 1 dm = [tex]\frac{0.1}{1000}[/tex] km

    ∴ 5246 dm = [tex]\frac{0.1}{1000}\times 5246[/tex] km

                        = 0.5246 km

P ∵ 1 m = 1000 mm

  ∴ 5.246 m = 5246 mm

P ∵ 1 hg = 1000 dg

   ∴ 3.7 hg = 3700 dg

U  ∵ 1 g = 100 cg

   ∴ 0.37 g = 37 cg

E  ∵ 1 kg = 1000 g

   ∴ 370 kg = 370,000 g

I will mark brainliest for the best answer!!!! Please show FULL SOLUTIONS. THANK YOU.

Question: Determine The Value Of X.

Answers

9514 1404 393

Answer:

  x = 78

Step-by-step explanation:

The base angles of an isosceles triangle are congruent, so the sum of angles is ...

  x° +x° +24° = 180°

  2x +24 = 180 . . . . . collect terms

  x + 12 = 90 . . . . . . . divide by 2

  x = 90 -12 . . . . . . . . subtract 12

  x = 78

_____

Additional comment

The base angle of an isosceles triangle is always the complement of half the third angle. That angle's bisector is an altitude, so divides the isosceles triangle into two congruent right triangles.

PLEASEE answer correctly !!!!!!!!!!!!!! Show your workkkkk !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!

Answers

The answer is 59
A triangle has 180 degrees. Subtract 62 from 180 to get 118, then divide by 2 to get the two angles on the bottom.

A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?

Answers

Answer:

a)1 cup of flour

b)67.5 minutes

Step-by-step explanation:

a) A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?

From the above question, we know that:

27 dinner rolls = 3 cups of flour

9 dinner rolls = x

Cross Multiply

27 rolls × x = 9 rolls × 3 cups

x = 9 rolls × 3 cups/27 rolls

x = 1 cup of flour

Hence, 1 cup of flour is needed to make 9 dinner rolls

b) Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?

From the above question:

4 km = 18 minutes

15km = x

Cross Multiply

4km × x = 15km × 18 minutes

x = 15km × 18minutes/4km

x = 67.5 minutes

Hence, in a 15km race , it would take her 67.5 minutes to complete her race.