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

Kathy is making 3 batches of pancakes for a brunch party. If each batch needs 1712 cups of milk, how much milk does she need altogether?

Answers

Answer:

5,136

Step-by-step explanation:

because 1,712×3=5,136

(Help please) Find both the perimeter and the area of the following rectangle
2x+3
X+6
Perimeter:_____
Area:____

Answers

Given:

Length of a rectangle = (2x+3) units

Width of the rectangle = (x+6) units

To find:

The perimeter and the area of the rectangle.

Solution:

We know that, the perimeter of the rectangle is

[tex]Perimeter=2(Length+Width)[/tex]

[tex]Perimeter=2((2x+3)+(x+6))[/tex]

[tex]Perimeter=2(3x+9)[/tex]

[tex]Perimeter=6x+18[/tex]

The area of rectangle is

[tex]Area=Length\times width[/tex]

[tex]Area=(2x+3)\times (x+6)[/tex]

[tex]Area=2x^2+12x+3x+18[/tex]

[tex]Area=2x^2+15x+18[/tex]

Therefore, [tex]Perimeter=6x+18[/tex] and [tex]Area=2x^2+15x+18[/tex].

A population of rabbits doubles every 4 months. If the population starts out with 8 rabbits how many will there be in 1 year

Answers

Given:

The initial population of rabbit = 8

Population of rabbits doubles every 4 months.

To find:

The number of population in 1 year.

Solution:

The exponential growth model is

[tex]y=a(b)^x[/tex]          ...(i)

Where, a is the initial population, b is growth factor, x is time period.

We know that,

12 month = 1 year

So, there are 3 time period of 4 months in an year.

Initial population of rabbit (a) = 8

Population of rabbits doubles every 4 months. So, growth factor is 2, i.e., b=2 and the time period is 3, i.e., x=3.

Putting a=8, b=2, x=3 in (i), we get

[tex]y=8(2)^3[/tex]

[tex]y=8(8)[/tex]

[tex]y=64[/tex]

Therefore, the population of rabbit in 1 year will be 64.

Identify the first step when evaluating the expression 11 – 10 ÷ 2 + 6 × 1

Answers

Answer: use cymath

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

i think

someone help me it’s timed!!

Answers

Answer:

29

Step-by-step explanation:

??? i mean 12 + 6 + 11??? 29??

Answer:

29

Step-by-step explanation:

12+6+11=29

24.
Tyannah purchased 4 dozens of eggs for $50.00. She sold each egg for
$2.00. How many eggs must she sell to make a profit of $34.00?​

Answers

Answer:

I think it would be 17 because 34 ÷ 2 = 17

Who understands how to do this mess?

Answers

Answer: 140

Step-by-step explanation:

Angle 4 and A are supplementary meaning they add to 180

Thus you can do 180-40 = 140 to get that angle A = 140.

Since the two lines are parallel, Angle A is congruent to Angle D. Then, since Angle D is opposite Angle 3, we know that that Angle 3 and Angle D are congruent.

The formula for volume of this rectangular prism is:
V=2x(exponent is 3) +17x (exponent is 2) +46x

Answers

The answer for you question is 343

Which expression is equivalent to 4a+2b
A.a+a+a+a+b+b
B. 4+2+a+b
C.6(a+b)
D.4+a x 2+b

Answers

Answer:

Answer is A

Step-by-step explanation:

a+a+a+a+b+b =4a+2b

The answer is a
A hope that helps you

What is 15% of a restaurant check for $46.72? Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

$7.01

Step-by-step explanation:

46.72 * 0.15 = 7.008

What is the measure of DC?? Show work..

Answers

Answer:

I have no idea , but it is a obtuse / 190 degree angle

Hmmm.... i think its 180 OR 185

Step-by-step explanation:

WILL GIVE BRAINLIEST
(unless you copy from googl.e)

Which is more reliable, theoretical probability or experimental probability?Why?

Answers

Answer:

Theoretical probability is a calculated value whereas experimental is an observed value. Theoretical is more reliable because it is usually not subject to all the testing failures that are possible. Experimental probability is only used in practice or when there isn't any theory.

Both are useful, but theoretical probability is more reliable because it has been studied and matured, so it is more foolproof than experiments.

1. Calculate the area of the figure below. Show all of your calculations (distance and area) for full credit.

Answers

Answer:

Not enough information. Where is the picture?

Step-by-step explanation:

Please add picture.

ANSWER QUICK!!

Which of the following is an example of the ASCEND?

A. a bird landing on the ground
B. a hiker climbing a mountain
C. a car traveling through a tunnel
D. a submarine lowering below the surface

Answers

Answer:

answer is B

Step-by-step explanation:

he goes up

B
Ascend means to go upward and when the hiker climbs a mountain he is climbing upwards

The ratio of rabbits to guinea pigs in a shop is 2:7.
The ratio of brown rabbits to grey rabbits is 2:3.
What fraction of the animals in the shop are grey rabbits?

Answers

Answer:

b po

Step-by-step explanation:

sana po matulong po ako

What is the mean?
-9 -9 -3 -6 -7

Answers

Answer:

-6.8

Step-by-step explanation:

To find the mean, you add all the numbers together, then divide that number by the amount of numbers there were, so:

-9 + -9 + -3 + -6 + -7 = -34

-34/5 = -6.8

Yoooo, if you gave me brainliest that would be pretty pog. Because as it turns out, only a small percentage of the people I answer actually give me brainliest. I'm trying to get Virtuoso by the end of the day, and you giving me brainliest would really help out. Also while you're at it leave a thanks and a 5-star rating to help boost this answer in the brainly algorithm.

-2x(2x^2+7x+8)
...................

Answers

It would be equal to −4x^3-14x^2-16x

Nancy needs 4/5 of a foot of ribbon to make a bow and she has 4 feet ribbon how many bows can she make

Answers

Answer:

I believe she can make one bow

Step-by-step explanation:

Iso if she has 5 feet of ribbon and only takes four feet of it then that leaves one foot left but if she has a perfect four foot then she can make a ribbon without extra

30 POINTS // URGENT

On the first day of a sale, a camera was reduced by $21.60. This represented 12% off the original price. On the last day of the sale, the camera was sold for 70% of the original price. What was the final selling price of the camera?

GIVING BRAINLIEST to best explained answer. If you respond with an irrelevant answer I will report the question and your answer and your points will be taken away.

Repost.

MIDDLE SCHOOL LEVEL MATH

Answers

Answer:

54$ is the final selling price of the camera

3 x 8/4 ?????????????//////

Answers

Answer:

6

Step-by-step explanation:

8/4 = 2 so 3*2=6

Identify 3 characteristics of the parabola = −2^2 − 3 + 5.

Answers

Answer:

−2

Step-by-step explanation:

−22−3+5

=−4−3+5

=−7+5

=−2

PLS BRAINLIEST

The lines 2x=ky+2 and (k+1)x=6y-3 have same gradient. Find possible values of k
I need the answers ASAP please!

Answers

Answer:

k = 3 or k = -4

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

[tex]2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4[/tex]

What would the answer be?​

Answers

Answer:

11.35%  

Step-by-step explanation:

Add all of the numbers together to get the total amount of people who visited.

Add all the numbers in the teen section to find how many teens visited.

If you put teens over whole it will give you the fraction 86/758

If you divide 86 by 758 you will get 0.11345646438 .

Move the decimal two places to the right and round to get the percent 11.35.

Select the correct expressions.
Identify the equivalent expressions of 412x + x - 3) - 3x + 3 by substituting x = 2 and x = 3.
9x - 9
9x - 1
9x + x - 9
9(x - 1)
4(3x - 3) + 3 - 3x

PLEASE I’LL GIVE BRAINLIEST

Answers

Answer:

9x -9

9(x - 1)

4(3x-3) - 3x + 3

 

( Hope this helps ) <(^w^)>

May someone answer these 4 questions for me? Find the area

Answers

6: 121.2
7: 40
8: i’m pretty sure it’s 70 but i’m not sure

Find x
11
170
Х
O 1.8
0 37.6
0 3.2
0 3.6
i

Answers

Answer:

Step-by-step explanation:

Will give brainliest! Given the 3 lengths of a triangle are 6 in, 8 in, and 11 in. A) Will this make a triangle? B) Will it be a right triangle?

Answers

Answer:

yes and no

Step-by-step explanation:

l

Two linear functions are shown.
Which function has the greater
initial value?
Function B
y = 6x + 3
Function A
Х y
- 1 9
0 6
1 3
2 0
Function has the greater initial value because the initial value for Function A is and the initial
value for Function B is
(Type integers or decimals.)
Enter your answer in the edit fields and then click Check Answer.
All parts showing

Answers

Answer:

Function A has a greater initial value because the initial value for Function A is 6 and the initial vale for Function B is 3

Step-by-step explanation:

The data for Function A is presented here as follows;

[tex]\begin{array}{cc}x&y\\-1&9\\0&6\\1&3\\2&0\end{array}[/tex]

The slope of the function, 'm', is given using any two points as follows;

m = (9 - 3)/((-1) - 1) = -3

The slope of the function = -3

The equation of function in point and slope form is given as follows;

y - 3 = -3·(x - 1)

The equation of Function A, is therefore, given as follows;

y = 3 - 3·x + 3 = 6 - 3·x

∴ y = 6 - 3·x

The equation of Function B is given as follows;

y = 6·x + 3

The initial value of a function is given by the y-intercept of the function, where the input variable (x-variable) is zero

The initial value, (y-intercept) of Function A, f(0) is therefore found as follows;

f(x) = y = 6 - 3·x

f(0) = 6 - 3×0 = 6

The initial value of Function A, f(0) = 6

Similarly, the initial value, (y-intercept) of Function B, f(0) is found as follows;

f(x) = y = 6·x + 3

f(0) = 6×0 + 3 = 3

The initial value of the Function B, f(0) = 3

Therefore, we have that Function A has a greater initial value than Function B

What is the equation of the graph below?
А
y = 2(x + 4)2 – 2
B
y = (x – 4)2 – 2
C y = 2(x - 4)2 – 2
D
y = 2(x – 4)2 + 4

Answers

Answer:

f(x) = 1(x - 4)^2 - 2

Step-by-step explanation:

Recall that the vertex form of the equation of a parabola is

f(x) = a(x - h)^2 + k, where (h, k) is the vertex and a is a scale factor which stretches or compresses the graph vertically.

Looking carefully at the graph, we see that h must be 4 and k must be -2.

Thus, the equation of this parabola is f(x) = 1(x - 4)^2 - 2 (which matches Answer B)

four thousand three hundred twenty-one ten thousandths as a decimal​

Answers

Answer:

.4321

Step-by-step explanation:

move the decimal to the left four times

We want to write four thousand three hundred twenty-one ten thousandths as a decimal​.

The number is:

4321.010

To do it, we need to understand what each place value represents, where the place values are the place of each digit in reference to the decimal point.

The first digit at the left of the decimal point represents the units.The second digit at the left of the decimal point represents the tens.The third digit at the left of the decimal point represents the hundreds.The fourth digit at the left of the decimal point represents the thousands.

And for the right we have:

The first digit at the right of the decimal point represents the tenths.The second digit at the right of the decimal point represents the hundredths.The third represents the thousandths.

Of course, it continues in both ways, but this is enough to write our number.

We have:

"four thousand..."

Then the fourth digit at the left is a 4.

"... three hundred..."

The third digit is a 3.

"...twenty-one..."

The second digit is a 2, and the first is a 1.

For the right side, we do not have tenths, so the first digit at the right is a zero.

And "...ten thousandths"

We have a "10" in the second and third digits at the right of the decimal point.

Then our number is:

4321.010

If you want to learn more, you can read:

https://brainly.com/question/16552177

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