Melanie is going to invest in an account paying an interest rate of 5.2% compounded
monthly. How much would Melanie need to invest, to the nearest hundred dollars,
for the value of the account to reach $19,600 in 19 years?

Answers

Answer 1

Answer:

7300    

  Step-by-step explanation:

I got it right  

Answer 2

Melanie would need to invest an amount of $7300.

What is Compound Interest?

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

The final amount in a compound interest can be calculated using the formula,

A = P (1 + [tex]\frac{r}{n}[/tex] )^(n t)

Here A is the final amount, P is the principal value, r is the rate of interest, n is the number of times interest is compounded per year and t is the number of years.

Given,

A = $19,600

r = 5.2% = 5.2/100 = 0.052

Since it is compounded monthly, n = 12

t = 19 years

Substituting,

19,600 = P (1 + [tex]\frac{0.052}{12}[/tex])^ (12 × 19)

19,600 = P (1.0043)^(228)

19,600 = P (2.68)

P = 19,600 / 2.68

P = 7313.0767 ≈ 7300 to the nearest hundred

Hence the value of the account will reach $19,600 n 19 years if she invest an amount of $7300.

Learn more about Compound Interest here :

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Related Questions

2x-4y=-20 write it in y=ax+b form

Answers

Answer:

[tex] y = \frac{1}{2} x + 5[/tex]

Step-by-step explanation:

[tex]2x - 4y = - 20 \\ \\ - 4y = - 2x - 20 \\ \\ y = \frac{ - 2}{ - 4}x - \frac{20}{ - 4} \\ \\ y = \frac{1}{2} x + 5[/tex]

What is the value of x?


degrees

Answers

Answer:

x = 48 degrees

Step-by-step explanation:

Every triangle has an interior angle of 180 degrees

to find x, take the known angles and add them together:

47 + 85 = 132

now take the sum and subtract it from 180;

180 - 132 = 48

x = 48 degrees

Find an equation of the line parallel to y = 3x + 2 and that passes through the point (-1, -3)

Answers

In order to be parallel to a line, two lines must have the same slope. The slope of y=3x+2 is 3. So the slope of the other equation has the be 3. y=3x+b. Now we can plug in the x and y values given by the point to calculate the b in the equation.
-3=3(-1)+b
-3=-3+b
b=0
So the equation is y=3x

(Geometry): find x.

Answers

20x + 1 = 720

20x = 719

x = 35.95

Your answer: 35.95

Proof:

(5(35.95))+(35.95-10)+(3(35.95)+5)+(2(35.95)-2)+(5(35.95)+6)+(4(35.95)+2) = 720

If the Quadratic functions for the equations are graphed, which is the widest?
A. y = x^2
B. y = 2x^2
C. y = 6x^2
D. y = 1/4x^2

Answers

y = ax^2

If the absolute value of a is <1 the graph is wider than when a = 1

If the absolute value of a is >1 the graph is narrow than when a = 1

The only function that fits that description is  

y = 2x^2

what is the linear equation of a line with a rate of change of -1/2 that passes through the point (0, 4)

Answers

Answer:

y = 9/2 (fraction)

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

y = 2x + c

Putting the point (0,4) in it as it lies on a line, we get:

4 = -1/2 + c

Therefore:

c = 9/2

So, y = 9/2

Brainlist pls!

A transformation of AKLM results in AK'L'M'.
Which transformation maps the pre-image to the
image?

dilation

translation

reflection

rotation

Answers

Translation, Dilation

Answer:

dilation

Step-by-step explanation:

took the test

through: (-3,-4) and (0,4)

Answers

Answer:

The slope = 8/3

Step-by-step explanation:

Let's find the slope between your two points.

(−3,−4);(0,4)

(x1,y1) = (−3,−4)

(x2,y2) = (0,4)

Use the slope formula:

m= y2−y1 / x2−x1

= 4 − −4 / 0 − −3

= 8/3

Answer:

m = 8/3

Graph:

hope this helps and is right :)

Write the ratio 10:18 as a fraction in simplest form.

Answers

Answer:

5/9

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 10 and 18 is 2.

10 ÷ 218 ÷ 2.

Reduced fraction: 59. Therefore, 10/18 simplified to lowest terms is 5/9.

rite an equation of the line with the given​ slope, m, and​ y-intercept (0,3).
The equation is_______

m=0, b=-5



​(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

Answers

since y=mx+b i think the equation will be
3=x-5

Savannah built a rectangular pen for her goat that was 20 yards long and 15 2/5 yards wide. What is the area of the pen

Answers

Answer:

the area of is

Step-by-step explanation:

The answer is 35 1/2 i hope its help

Isabella is travelling in Brazil during the summer, She knows that a 15-minute phone call home to her family costs $45.85 and a 20-minute phone call costs $58.30 sabella only has $55.81 to spend on her phone call. How long can she talk to her family?​

Answers

19 minutes
If you divide 45.85 by 20 you will get 3 same for 58.39 and 20

I need a 19:7 sentence plz

Answers

Answer:

for every 19 red apples, there are 7 green ones

Step-by-step explanation:

bfnbhsvkisbvjdkbv jv ksnhvsdf vkdbsnjbv k

Answers

Answer:

41

Step-by-step explanation:

47-6=41

What is the equation in slope-intercept form of the line that passes through the points ( 2, 5) and (6, 8)?

y = 0.75x + 3

y = 0.75x + 3.5

y = 4x + 10

y = 4x - 36

Answers

Answer:

Step-by-step explanation:

What is the percent of change from 60 to 84?
40% increase

Answers

Answer:

you are correct

Step-by-step explanation:

what quadrant is the coordinate -3,2 in

Answers

the second one mark me brainliest please if you have any more questions please wow

Answer: the 2nd quadrant

Step-by-step explanation:

The first quadrant

(X,Y)

The second quadrant

(-X,Y)

The third quadrant

(-X,-Y)

The fourth quadrant

(X,-Y)

given point A (3,-4) and point B (8,6) on directed line segment AB

Answers

Answer:

-1

Step-by-step explanation:

X=
(-6x+125) (11x + 6)

Answers

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

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

  11x +6 = -6x +125

  17x = 119 . . . . . . . . . add 6x-6 to both sides

  x = 7 . . . . . . . . divide by 17

Write the slope-intercept form of an equation of the line that passes through the given
point and is parallel to the graph of each equation.
(3, 2), y = x + 5

Answers

Answer:

The slope will be y=x-1 because it parallels to y=x+5 and hits point (3,2)

Step-by-step explanation:

Hope This Helped

Select the inequality that match the situation:
A school fundraiser has a minimum target of $500. Faculty have donated $100 and there
are 12 student clubs that are participating with different activities. How much money
should each club raise to meet the fundraising goal?
12x - 100 > 500
12x +100 > 500
12x- 100 > 500
12x + 100 > 500
12x - 100 < 500
12x + 100 < 500

Answers

Answer:

Each student club must contribute $ 33.33 in order to meet the fundraising goal.

Step-by-step explanation:

Given that a school fundraiser has a minimum target of $ 500. Faculty have donated $ 100 and there are 12 student clubs that are participating with different activities, to determine how much money should each club raise to meet the fundraising goal, the following calculation must be performed:

(500 - 100) / 12 = X

400/12 = X

33,333 = X

Thus, each student club must contribute $ 33.33 in order to meet the fundraising goal.

Helppp plzzz I will mark brainliestttt

Answers

Answer:

B. 160 inches

Step-by-step explanation:

The wrapping paper would be the surface area of the box.

The surface area of a box is 2(h * W) + 2(h * L) + 2(W * L)

h = height

W = width

L = length

length x width x height

length = 5 in

width = 2 in

height = 10 in

2(10 * 2) + 2(10 * 5) + 2(2 * 5)

2(20) + 2(50) + 2(10)

40 + 100 + 20

160 inches

PLEASE HELP I WILL GOVE BRAINLIEST

Answers

y - 3 = -2(x+5)
y - 3 = -2x - 10
+3. +3
y = -2x - 7

6.
m21 =
3
mZ2 =
470
m3 =
N
5
52
m24 =
mZ5 =


#6

Answers

9514 1404 393

Answer:

128°52°47°133°81°

Step-by-step explanation:

Alternate interior angles are congruent, so you know ...

  ∠2 = 52°

  ∠3 = 47°

The sum of angles in a triangle is 180°, so ...

  ∠5 = 180° -∠2 -∠3 = 180° -52° -47°

  ∠5 = 81°

Linear pairs are supplementary, so ...

  ∠1 = 180° -∠2 = 180° -52°

  ∠1 = 128°

  ∠4 = 180° -∠3 = 180° -47°

  ∠4 = 133°

_____

Alternate solution

To find angles 1 and 4, you could also make use of the fact that same-side interior angles are supplementary.

I'm confused for some reason can you help?​

Answers

Answer:

So basically you just count how many squares you see. I see 21 squares so your answer would be 21 cubic units please mark me brainliest and have a wonderful day

Step-by-step explanation:

Answer: 18 cubic units

Step-by-step explanation:

You can count the number of units on each side, one for height, which is 3 units, one for width, also 3, and one for length, 2 units. Volume is height*length*width, so 3*3*2 is 18.

PLEASE HELP IM BEGING

Answers

Answer:

504 cm squared

Step-by-step explanation:

14 * 14 = 196

14 / 2 = 7

7 * 11 = 77

77 * 4 = 308

308 + 196 = 504

504

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

The function g(x) = f(x + 1) + 6. Which of the following is true about the graph of g(x).

Answers

Answer:

You need to show us the options

Step-by-step explanation:

Answer:

what’s the anwser?

Step-by-step explanation:

If you were to rotate ABCD 180degrees about the origin, what would the coordinate of A' be?

Answers

Answer:

5,5

Step-by-step explanation:

it would be (-3 ,-5) because the rule for rotating 180 degrees is (x,y)>(-x.-y)

what does 4m^2 +5m if m=-2 equal?

Answers

Answer:

-26

Step-by-step explanation:

tell me if im right and please brainliest

SOS PLEASE HELP write the equation for this line​

Answers

Answer:

y = - x + 3

or

x + y = 3

Step-by-step explanation:

Line is passing through the points (3, 0) & (0, 3)

y-intercept (b) = 3

Slope of the line (m) = (3 - 0)/(0 - 3) = 3/(-3) = - 1

Now, required equation of line is given as:

y = mx + b

y = - 1*x + 3

y = - x + 3

or

x + y = 3

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