Melanie invested $3,800 in an account paying an interest rate of 2 % compounded
quarterly. Sebastian invested $3,800 in an account paying an interest rate of 2%
compounded monthly. After 6 years, how much more money would Sebastian have in
his account than Melanie, to the nearest dollar?

Answers

Answer 1

Answer:

.85

Step-by-step explanation:

Compound interest formula

[tex]PV(1+\frac{i}{n})^{nt}[/tex]

Melanie:

[tex]3800(1+\frac{.02}{4})^{(6*4)\\}\\=3800(1+.005)^{24}\\3800*1.1272=4283.21[/tex]

Sebastian:

[tex]3800(1+\frac{.02}{12})^{12*6}\\3800(1.0017)^{72}\\3800*1.1274=4284.06[/tex]

4824.06-4283.21= .85


Related Questions

What is the graph of the function f(x) = the quantity of x squared minus 7 x plus 12, all over x minus 3? (1 point)

Answers

Answer:

Step-by-step explanation:

Hyhh

what is the volume of a cylinder if the radius is 3.2 centimeters and the height is 5 centimeters

Answers

Answer:

         V ≈ 160.85 cm³ ≈ 0,161 l

Step-by-step explanation:

Volume of cylinder:  V = π×r² × h

r = 3.2 cm

h = 5 cm

Volume:

V = π×(3.2)²×5 = 51.2π cm³ = 160.8495.... cm³ ≈ 160.85 cm³

solve for x (8x-4), (3x+17), (17x-23)

Answers

Answer:

=408x3+1556x2−4008x+1564

Step-by-step explanation:\

(8x−4)(3x+17)(17x−23)

Can someone help me understand where the positive 2 came from?

Answers

-2 times -1 = positive 2
(two negatives cancel out to form a positive)

Answer:

4(-2)-(0)-2(-1)

a negative number multiplied by a negative number will always equal a positive number as the two negatives cancel each other out.

-2 multiplied by -1 equals positive 2

this is why the 2 is positive.

Is y= -x a linear equation

Answers

Answer:

yes

Step-by-step explanation:

SMART PPL HELP LOL PLEASE

Answers

1. YES: plug in 5
2.NO
one is yes and two is no

6. If F(x) = -6(2x2 + 5x) - 9, what is the value of F(-4)?

Answers

Answer:

-81

Step-by-step explanation:

-6(2x² + 5x) - 9

substitute -4 for 'x'

-6[2(-4)² + 5(-4)] - 9

-6[2(16) + (-20) - 9]

-6(32 - 20) - 9

-6(12) - 9

-72 - 9 = -81

Rover A: y= 1.3x - 4
Rover B: 3y = 3.9x - 12

What conclusion can you make about the system of equations?

A. The system has exactly one solution.

B. The system has infinitely many solutions.

C. The system has no solution.

Answers

Answer:

I think it is A

Step-by-step explanation:

because there is only 1 slope which is 3 and the y intercept is 4

I neeed majorrr helppp

Answers

Answer:

y=-2/3x-5

Step-by-step explanation:

y=-2/3x-5

What is the equation, in slope-intercept form, of the line parallel to -5x + y = 2 that passes through the point with coordinates (-2, 1)?

Answers

Answer:

y = 5x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 5x + y = 2 ( add 5x to both sides )

y = 5x + 2 ← in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, then

y = 5x + c ← is the partial equation

To find c substitute (- 2, 1) into the partial equation

1 = - 10 + c ⇒ c = 1 + 10 = 11

y = 5x + 11 ← equation of parallel line

what did you do today? 3 things

Answers

Answer:

eat sleep play

Step-by-step explanation:

4x-y=3 how can I solve this​

Answers

Rewrite in Implicit form, Move the constant to the left, by adding its opposite to both sides.

Step 1: 4x-y-3=3-3

The sum of the two opposites equals 0.

Step 2: 4x-y-3=0

Solution: 4x-y-3=0

give me ur favorite jack harlow song
(and give me a verse/chorus to prove. NO LOOKING IT UP!)

Answers

Answer:

Whats popin

Step-by-step explanation:

PLEASE HELP?
let g be the function given by g (x) = 3x^4 - 8x^3. At what value of x on the closed interval [ -2,2 ] does g have an absolute maximum

Answers

Answer:

When we have a function g(x)

We will have a maximum at x when:

g'(x) = 0

g''(x) < 0.

Now we start with:

g(x) = 3*x^4 - 8*x^3

The first derivation is:

g'(x) = 4*3*x^3 - 3*8*x^2

g'(x) = 12*x^3 - 24*x^2

We can rewrite this as:

g'(x) = x^2*(12*x - 24)

Now we want to solve:

g'(x) = 0 =  x^2*(12*x - 24)

We have one trivial solution, that is when x = 0.

The other solution will be when the term inside of the parentheses is equal to zero.

Then we need to solve:

12*x - 24 = 0

12*x = 24

x = 24/12 = 2

Then g'(x) is equal to zero for x = 0, and x = 2.

Notice that both of these points are included in the interval [ -2,2 ]

Now we need to look at the second derivative of g(x):

g''(x) = 3*12*x^2 - 2*24*x

g''(x) = 36*x^2 - 48*x

Ok, now we need to evaluate this in the two roots we found before:

if x = 0:

g''(0) = 36*0^2 - 48*0 = 0

g''(0) = 0

Then we do not have a maximum at x = 0, this is a point of inflection.

if x = 2:

g''(2) = 36*(2^2) - 48*2 = 48

then:

g''(2) > 0

This is an absolute minimum.

Now let's look only at the interval [ -2,2 ]

We know that:

g''(0) =  0

g''(2) > 0

Then at some point, we should have g''(x) < 0 in our interval.

We need to find the first point such that happens, so let's try with the lower limit of the interval but with the first derivation, if g'(x) < 0, this means that the function is decreasing from that point on, then that point will be a maximum in our interval.

x = -2

g'(-2) = (-2)^2*(12*-2 - 24) = -192

And if we look at the function:

g'(x) = x^2*(12*x - 24)

We can easily see that it is negative unitl x = 0, and then it keeps being negative until x = 2.

So in the interval  [ -2,2 ], the function g'(x) is always negative or zero, this means that in the interval  [ -2,2 ], the function g(x) is always decreasing or constant.

Then the absolute maximum of g(x) in the interval  [ -2,2 ]  will be  x = -2

this means that:

g(-2) ≥ g(x) for all x ∈  [ -2,2 ]

The graph shows the number of each type of sticker in a box.
Stickers
30
25
20
Number in Box
15
JU
10
5
0
bear
cat
frog
rabbit
dinosaur
Type
How many fewer frog stickers are there than cat stickers?
O A 10
O c. 2o
D. 25
B. 15

Answers

Answer:b?

Step-by-step explanation:

Solve for j 8 - 4j = -8j​

Answers

Answer:

J = -2

Step-by-step explanation:

You must isolate the variable by dividing each side by factors that dont contain the variable.

So J would equal -2

Solve for J is -2. Hope it helps

Jackie has a recipe for banana bread. She uses 4 1/2 cups of flour to make 3 loaves of banana bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour. Which of these equations represents the relationship between b and f? HELP
b=9/2f

b=3/2f

b=2/3f

b=2/9f

Answers

Answer:

b

Step-by-step explanation:

Prove that the sum of the squares of two consecutive integers is odd

Answers

Answer:

Step-by-step explanation:

Start by breaking up the question into parts:'always an odd number' . An even number is any number divisible 2 e.g. 2n, an odd number is always 1 higher or lower than an even number e.g. 2n+1 or something similar. Getting an answer at the end of working of this form will prove the theory'any two consecutive integers' means two numbers that are next to each other on the number line.To prove this, we can do this in terms of n i.e. n and n+1'the squares' square the two terms we have just written down to give n2 and (n+1)2The 'sum of the squares' tells us to add these two parts together. We would then hope to work through this and get something similar to the idea of 2n+1 or something similarn2+(n+1)2=2n2+2n+1=2(n2+n) +1. The first part of this is even because it is divisible by 2. By adding 1 it must become odd.

Answer: Every even number can be expressed in the form (2n) where n is an integer. So we have an even number, 2n, and an odd number, 2m+r. Adding them together we get 2n + 2m + r, which can be expressed as 2 (n+m) + r.

What is the area?
4 m
7 m
8 m

Answers

Answer:

224

Step-by-step explanation:

Multiply all the numbers

what is an equation of the line that passes through (0,8) and (4.0)?
A y= 2x+8
B y= 2x+4
C y=-2x+4
D y=-2 x+8

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ASAPPPPPPPPPPPPPPPPPPPPP WILL MAKE BRAINLIST​

Answers

Answer:

I'm guessing G

Step-by-step explanation:

Answer:

i beleive the answer is J

Step-by-step explanation:

tvtjbrgjrtvrv hvrbftvubiuofni4rnfuohfvoi urfihbrifniurfurbfn un4rtifbhb4rnfpj

Can someone help me with this question please

Answers

39 feet is the answer i think

PLEASE HURRY WILL GIVE BRAINLIST ​

Answers

I don’t wanna do this equation by 75 -45 is going to get you 75 and then you take 180-75 which is 105 and you take one of the 105-65 which is 35

Answer:

87

Step-by-step explanation:

help me fast smart people please haha lol

Answers

Answer:

1280 cubic

Step-by-step explanation:

length x width x height

Answer:

B

Step-by-step explanation: Volume=lwh

10*8*16=1280

Answer: B

What is 1.75 kilometres as a fraction of 700 metres?
Give your answer in its simplest form

Answers

Answer:

5/2

Step-by-step explanation:

1km=1000m

1.75 x 1000=1750

1750/700 = 5/2

Can someone help me solve this Y=5/2x-1

Answers

Answer:

m= 5/2

Step-by-step explanation:

Please help me it’s 7th grade regular math :)

Answers

Answer: 11 roses

11.75 + 3.50r = 52

r =

Step-by-step explanation:

11.75 + 3.50r = 52

- 11.75               -11.75

3.50r = 40.25

÷3.50    ÷3.50

r= 11.5

We round down to 11 since you cannot buy half of a rose.

A rectangular parking lot is surrounded on its perimeter by a fence that is 1200 feet long. if the length of a rectangular parking lot is 5 times it’s width which equation can be used to find the width of the parking lot

Answers

Answer:

fah)',55%9+*_)64•%π\¥)--_f

Answer:

2w+2(w+5)=1200

Step-by-step explanation:

HELP ASAP!!
-4y + 7 + 9y - 3​

Answers

Answer:

5y+4

Step-by-step explanation:

Combine Like Terms:

=−4y+7+9y+−3

=(−4y+9y)+(7+−3)

=5y+4

Answer:

5y + 4

Step-by-step explanation:

-4y + 7 + 9y - 3​

5y + 7 - 3

5y + 4

Write the percent as a fraction in simplest form and as a decimal: (two answers) 20% of the books

Answers

Decimal 0.2 fraction 1/5
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