Nevaeh invested $660 in an account paying an interest rate of 3% compounded
continuously. Jonathan invested $660 in an account paying an interest rate of 3 %
compounded monthly. After 14 years, how much more money would Nevaeh have in
her account than Jonathan, to the nearest dollar?

Answers

Answer 1

Answer:

19

Step-by-step explanation:

Rate 1: 3  

4

1

​  

%=3+1/4=

\,\,3.25\%\rightarrow 0.0325

3.25%→0.0325

\text{Rate 2: }3\tfrac{1}{8}\%=3+1/8=

Rate 2: 3  

8

1

​  

%=3+1/8=

\,\,3.125\%\rightarrow 0.03125

3.125%→0.03125

\text{Calculate Final Amount for Nevaeh}

Calculate Final Amount for Nevaeh

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

Calculate Final Amount for Nevaeh

 

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

 

P=660\hspace{35px}r=0.0325\hspace{35px}t=14

P=660r=0.0325t=14

Given values

A=660e^{0.0325(14)}

A=660e  

0.0325(14)

 

Plug in

A=660e^{0.455}

A=660e  

0.455

 

Multiply

A=1040.2744

A=1040.2744

Use calculator (with e button)

\text{Calculate Final Amount for Jonathan}

Calculate Final Amount for Jonathan

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

Calculate Final Amount for Jonathan

 

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

 

Compound interest formula

P=660\hspace{35px}r=0.03125\hspace{35px}t=14\hspace{35px}n=12

P=660r=0.03125t=14n=12

Given values

A=660\left(1+\frac{0.03125}{12}\right)^{12(14)}

A=660(1+  

12

0.03125

​  

)  

12(14)

 

Plug in values

A=660(1.0026042)^{168}

A=660(1.0026042)  

168

 

Simplify

A=1021.6468

A=1021.6468

Use calculator

\text{How much more money Nevaeh has:}

How much more money Nevaeh has:

1040.2744-1021.6468

1040.2744−1021.6468

18.6276

18.6276

\$ 19

$19


Related Questions

Section 1 - Question 3 Which expression would produce the greatest product? A 10 × 1/2 10 × 1/ 10 × 100 10 × 3 B C

Answers

Answer:

A: 10 x 1/2 = 15

Step-by-step explanation:

dfghj

4. Vivian uses a debit card to pay for a purchase, but she spends more than she has in her bank account. What will happen next?​

Answers

Answer:

Vivian will have to get a loan, and pay back the money she spent with her debit card. If she cannot pay back this loan in time, the interest will grow higher and higher. Using a debit card is NOT good because if you don't have the money for something and you buy it anyway, you'll have to pay back double the money if you miss the deadline for the loan.

An engineer traveled 125 mi by car and then an additional 675 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 7 h. Find the rate of the car.

Answers

Answer:

The speed of the car is 50 mph.

The speed of the plane is 150 mph.

 

Driving time = 185/50 = 3.7 hours

Flying time = 645/150 = 4.3 hours

Step-by-step explanation:

 

R be the speed of the car.

t is the driving time.

 

185 = R* t

 

645 = (3R)*(8-t) <---  the plane is 3 times as fast; the total time is 8 hours, so 8-t hours is spent flying

 

645 = 24R - 3rt <--- distributive

 

645 = 24R - 3(185)  <--- substitutes rt = 185

 

645 = 24R - 555

 

1200 = 24R

 

R = 50

 

Let u = <-5, 2>, v = <-2, 6>. Find 4u + 3v.

Answers

Answer:<-26, 26>

Step-by-step explanation: <4(-5), 4(2)> and

<3(-2), 3(6)>

<-20, 8> and <-6, 18>

Now add <(-20+(-6)), (8+18)>

<-26, 26>

Find the perimeter and area of the polygon shown below.

P= 72 feet, A = 300 square feet
O P = 56 feet, A = 308 square feet
P= 87 feet, A = 360 square feet
P = 72 feet, A = 308 square feet

Answers

Answer:

A. P = 72 feet, A = 300 square feet

Step-by-step explanation:

✔️Perimeter = sum of all sides of the polygon = 15 + 16 + 17 + 8 + 16 = 72 ft

✔️Area of the polygon = area of a trapezoid = ½(a + b)h

Where,

a = 16 ft

b = 16 + 8 = 24 ft

h = 15 ft

Substitute

Area = ½(16 + 24)15

Area = ½(40)15

Area = 300 ft²

abus
Find the slope of the line shown in the graph below.
5
nts
4
2
1
-6-5-4
2
3
4
5
6
2

Answers

I don’t even know what this is if you give me the equation than I can help

You want to purchase a new car in 3 years and expect the car to cost $30,000. Your bank offers a savings plan with a guaranteed APR of 5.5% if you make regular monthly deposits. How much should you deposit each month to end up with $30,000 in 3 years?

Answers

Answer:

i think its appr. $1,818

Step-by-step explanation:

im not really sure tho  

look at pic 10 pts will mark brainilest

Answers

Answer:

42in²

Step-by-step explanation:

So, it's area time, the formula for the area of a trapezoid is (base + base) ÷ 2 x height, so:

5 + 9 = 14

14 ÷ 2 = 7

7 x 6 = 42

So the area of the trapezoid is 42in²

hope this helps:)

A plane descends 1000 ft while flying
2.7 mi. What is the angle of descent?

Answers

Answer:

4.02°

Step-by-step explanation:

The angle of descent can be obtained using trigonometry ;

Since we have a right angled triangle ;

Let's use the relation:

Sin θ = opposite / hypotenus

Hypotenus = 2.7 miles

1 mile = 5280 feets

2.7 miles = (2.7 * 5280) = 14256 feets

Sin θ = 1000 / 14256

Sin θ = 0.0701459

θ = sin^-1(0.0701459)

θ = 4.0223674

Find the value of x (only answer if you're sure)

Answers

Answer:

x = 6

Step-by-step explanation:

It's simple.

This is just dilation. Since its a scale factor of 0.25 and you want to find x on the bigger one. Then we know we have to then change it into a fraction, 1/4. Which means that 1.5 is only a fourth of x. So, if you do the math: 1.5*4=6.

Therefore, your answer would be x = 6

a line is parallel to y=3x-2 and intersects the point (3,5)

Answers

It says parallel so the gradient will be the same

The equation of the line that is parallel to y = 3x - 2 and intersects the point (3, 5) will be y = 3x - 4.

What is the equation of a parallel line?

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The linear equation is given below.

y = 3x - 2

The equation of the line that is parallel to the line y = 3x - 2 will be given as,

y = 3x + c

The equation passes through (3, 5), then we have

5 = 3(3) + c

5 = 9 + c

c = - 4

Then the equation of the line will be y = 3x - 4.

More about the equation of a parallel line link is given below.

https://brainly.com/question/402319

#SPJ2

rectangle has area 80 square centimeters. the rectangle is dilated using A as a center and a scale factor of 1/2 what is the area of the image

Answers

9514 1404 393

Answer:

  20 square centimeters

Step-by-step explanation:

The area of the dilated figure is the original area multiplied by the square of the dilation factor. The center of dilation is irrelevant.

  dilated area = (1/2)² × original area

  dilated area = 1/4 × 80 cm²

  dilated area = 20 cm²

Please Help! What decimal is less than 0.4?

Answers

The decimal 0.7 is less than 0.4.

We have to determine

decimal is less than 0.4

What is the decimal?

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point.

We know that the decimal numbers increase in size as we move to

The right on the number line

0.4 is less than 0.7.

Let us now compare 1.57 and 1.6.

Therefore, The decimal 0.7 is less than 0.4.

To learn more about the decimal visit:

https://brainly.com/question/52825

Find the surface area of the prism below.



Square meters

Answers

Answer:

loluuuhsjsjzjjnsjs

Step-by-step explanation:

bzisjsjxjshsusud773938

Brainliest for correct answer, asap please.

Answers

Answer:

Not a function

Not a function

Function

Step-by-step explanation:

The 1st one isn't as clear in the picture, but it looks like the ends of each line overlap the each other.

In an examination, 200 students out of 500, obtained first division. What percentage of student got first division

Answers

Answer: 40%

Step-by-step explanation:

200 out of 500

200/500 or 2/5

1/5 is the same as 20%

Times by 2 you get 40%

2/5 = 40%


You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 19 children present in your van. How many different groups of 7 children
can you drive?
How many different groups of 7 children can you drive?

Answers

Answer:

3

Step-by-step explanation:

WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!! 100 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

4.1 in

Step-by-step explanation:

[tex]V=\pi r^{2}[/tex]

[tex]751=\pi r^{2}(10.7)[/tex] now we multiply pi and 10.71- i left it in the hundreths

place when i get my final answer ill round it to the tenths)

[tex]751=33.62r^{2}[/tex],  we need the [tex]r^{2}[/tex] alone so we now dive with 33. 62 on both sides, elimenating the 33.62. Now 751/ 33.62= 16.98.

now we square root it

[tex]\sqrt{16.98}[/tex] = 4.12 which rounded is 4.1

Answer:

solution given.:

radius=[r] let

height[h]=10.7in

volume[V] of cylinder=751 in³

π=3.14

we have

volume[V] of cylinder=πr²h

751=πr² ×10.7

r²=[tex] \frac{751}{10.7×3.14} [/tex]

r=[tex] \sqrt{22.353} [/tex]=4.73inch

so radius is 4.73in

A circular patio has a radius of 4 yards. The patio is expanded so that the
radius increases by 2 yards. By how many square yards does the area of the
patio increase?

Answers

Answer:

20pi or 62.83

Step-by-step explanation:

when r=4

pi r^2

16pi

when r=6

pi r^2

36pi

36pi-16pi=20pi or 62.83

if you get a student loan for $2,000 at 8% interest, what is the simple interest for one year

Answers

Answer:

divide 2,000 and 8 and see wat u get

Step-by-step explanation:

find the surface area of the figure below

Answers

You didn’t add a picture?

what is the y-intercept of the line that goes through (0, 0) (6, 3)

Answers

Answer:

QUESTION:

what is the y-intercept of the line that goes through (0, 0) (6, 3)

ANSWER:

Use the slope formula and the slope-intercept form to find the slope  m  and y-intercept  b .

Slope: 1/2

y-intercept: (0,0)

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.  

Which expression is equivalent to 5c + 3c?

Answers

the correct Number is 8c

3 that aren’t answered please, ill give brainiest

Answers

Answer:

7: 113.1 yd

In terms of Pi: 36π

8: 326.85 in

In terms of Pi: 104π

6: 452.39 km

In terms of Pi: 144π

Step-by-step explanation:

Bill was looking at 13 different colors to paint his bedroom he liked about 2/3 of the colors. about how many colors did he like

Answers

He liked about 8-9 colors because all you have to do is subtract 33% which equals 8.71

I need help someone help me out!

Answers

V = πr²h ( Given )

[tex]{ \large{ \sf{r {}^{2} = \dfrac{V}{πh} }}}[/tex]

[tex]{ \large{ \sf{ \therefore{r = \sqrt{ \dfrac{V}{πh} } }}}}[/tex]

Option = A is right

The total bill for drinks and a pizza for three people is $1490 before tax the group wants to leave a 15% tip on the cost for the food, not including tax, what will be the amount of the tip?

Answers

Answer:

223.50

Step-by-step explanation:

1490x .15 = 223.50

GIVING OUT BRAINLIEST ANSWER HELP ME OUT PLEASEE !!!

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Find the surface area of the prism? HELP I need the steps if possible

Answers

To find the surface area of a figure, find the area of all the shapes that make up the figure to get the area multiply Base by the height. First let's find the area of the rectangle  and the front that makes the ramp. To do this multiply 20 by 17 to get 340. Then let's get the area of the rectangle on the bottom by multiplying 15 by 20  to get 300. Now lets find the area of the rectangle in the back we will do this by multiplying 8 by 20 get 160. To get the area of a triangle multiply the base by the height and then divided by 2. so for one of the triangles let's multiply A perfect in which gives us 120 and divide that by 2 to get 60. because the other triangle has the same dimensions, the area of the other triangle will also be 60. now let's out of all the areas that we have from the shapes  which will be  340 + 300 + 160 + 60 + 60 which will give us 920 so the area of the figure is 920ft^2

(can i get brainelist pls)

A video game system costs $350. The sales tax rate is 796, what
is the final cost
Your answer

Answers

Answer:

$377.86

Step-by-step explanation:

Given: Video game system costs $350, sales tax rate is 796.

To find: Final cost

Solve: Calculating Total Cost. Multiply the cost of an item or service by the sales tax to find out the total cost.

                                           3.5  × 7.96 = 27.86

Add the total sales tax to the Item or service cost to get your total cost.

                                           27.86 + 350 = 377.86

The final cost is $377.86

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