Hudson is going to invest $320 and leave it in an account for 9 years. Assuming the
interest is compounded monthly, what interest rate, to the nearest tenth of a percent,
would be required in order for Hudson to end up with $540?

Answers

Answer 1

Answer:

5.8

Step-by-step explanation:

Answer 2

The interest rate, to the nearest tenth of a percent, will be 0.05828.

How do you determine the amount of compound interest?

If the principal amount is P, the interest rate is R percent per unit time, and the compound interest is left for T units of time, the interest amount gained is:

[tex]\rm CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]

The total is:

[tex]\rm A = CI + PA = P(1 +\dfrac{R}{ 100})T[/tex]

The amount is found as;

[tex]\rm A = P(1+\frac{r}{n})^{nt}\\\\ 540=320 (1+\frac{r}{12} )^{12\times 9}\\\\ (1+\frac{r}{12})^{108}=\frac{540}{320}\\\\ 1+\frac{r}{12}=(\frac{540}{320})^{\frac{14}{108}[/tex]

[tex]\rm 1+ \frac{r}{12}=1.00486\\\\ \frac{r}{12}=0.00486\\\\ r=12 \times 0.0486 \\\\ r=0.05828[/tex]

Hence, the interest rate, to the nearest tenth of a percent, will be 0.05828.

To learn more about compound interest, refer:

https://brainly.com/question/11897800

#SPJ2


Related Questions

NEED HELP ASAP FREE BRAINLIST

Answers

9514 1404 393

Answer:

113.04, 4, 452.1678.5, 11, 863.5153.86, 10, 1538.6

Step-by-step explanation:

When calculations are repetitive, I like to let a calculator or spreadsheet do them. Here we have used the formula for the base area:

  B = πr² = 3.14×r²

In the second figure, the radius is half the diameter, so is 5 units.

The table in the attachment lists the base area B, the height h (from the figures), and the volume V. These are the values that you need to drag and drop to the boxes in your problem.

  V = 113.04 · 4

  V = 452.16 units³ . . . showing how the numbers are used in the first figure

5/9 divided by 8/= ?

Answers

the answer is 0.06944 or as a fraction 5/72

The side adjacent to ∠W is …
Question 1 options:
side 34

side WU

side 90

side VW

Answers

The side adjacent to ∠W is side WU.

9514 1404 393

Answer:

  (b)  side WU

Step-by-step explanation:

With respect to any given acute angle in a right triangle, the sides of the triangle are called "adjacent", "opposite", or "hypotenuse".

The two sides that form angle W are WU and WV. Side WV is the longest, opposite the right angle, so it is the hypotenuse. Side WU is "adjacent" to angle W, and side UV is "opposite" angle W.

(It can help to note that the name of the opposite side UV does not contain the letter of the angle W. The name of the adjacent side WU does contain the letter of the angle.)

F(x)=0.5^x what is the domain and range

Answers

Answer:

XER (X are all real numbers)

Step-by-step explanation:

as;dbdjkdbusaj hfsvd

Marie found that 4 bags of leaves weigh 6 pounds and 8 bags of leaves weigh 12 pounds. She made a graph to help her find the weight of other numbers of bags. On a coordinate plane, a line is drawn through points (4, 6) and (8, 12). Which ordered pair follows the pattern in the graph? (2, 4) (3, 4) (6, 8) (6, 9)

Answers

The ordered pair (6,9) follows the pattern in the graph.
For every 2 on the x coordinate, there is 3 for the y coordinate. (2,3) (4,6) (6,9) (8,12) and so on.

Answer:

D 6,9

Step-by-step explanation:

Find the length of the third side. If necessary, round to the nearest tenth.
12
5

Answers

9514 1404 393

Answer:

  13

Step-by-step explanation:

The hypotenuse can be found using the Pythagorean theorem. If we call that side 'c', then the theorem tells us ...

  c² = 5² + 12²

  c² = 25 +144 = 169

  c = √169 = 13

The length of the third side is 13 units.

_____

Additional comment

The numbers (5, 12, 13) are what is called a "Pythagorean triple." That is, they are integers that can be used to form a right triangle. Others often seen in algebra problems are the (3, 4, 5), (7, 24, 25), and (8, 15, 17) triples. It can be worth your trouble to remember these. Then when you see side lengths of 5 and 12, you don't need to do any math to know the third side is 13.

how do you tell someone you like them if you get nervous around them?
57+ points if you answer the question

Answers

Answer:

Just be yourself.

Step-by-step explanation:

You might get different answers, but this one is something you should definitely do!

Hope this helped...have a great day <3

Answer:

I think that you should just try and be open about it. for example instead of telling them in person tell them by text or over a note. Also just trust your gut and how you feel! stay yourself.

Step-by-step explanation:

being yourself is probably why he will like you back.

Please help!!
Imaginary Numbers

Answers

Answer:

A. 1

Step-by-step explanation:

its A

A stationery store wants to estimate the mean retail value of greeting cards that it has in its inventory. A random sample of 15 greeting cards indicates an average value of $3.00 and a s of $0.40. The critical value for a 99% confidence interval is

Answers

Answer:

The critical value for a 99% confidence interval is T = 2.9768

Step-by-step explanation:

We have the standard deviation of the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

Critical value

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.9768

The critical value for a 99% confidence interval is T = 2.9768

If the two spinners below are spun, what is the probability that the numbers will add to less than six?

Answers

Answer:

3/4 or 75%

Step-by-step explanation:

There are twelve possible outcomes. (4 green for each of the three orange).

The only combinations that add up to six or more are 2&4, 3&3 and 3&4.

That’s 3 out of 12.  So 9 out of 12 combinations will add up to less than 6.

9/12=3/4 or 75%

Answer:

3/4

Step-by-step explanation:

Order the angle measures from least to greatest

help please

Answers

Answer:

m<B, m<C, m<A

Step-by-step explanation:

The length of sides and angle measures correspond. This means the angle opposite to the longest side is the largest, etc. The shortest side is AC, which is the opposite of <B, making it the smallest. Then, the same logic can be applied to <C which is the middle, and <A which is the largest. Therefore, from least to greatest the angles are m<B, m<C, m<A.

geometry math help plz answer all questions

Answers

EF=3
9x-1=41+5x

x=15
2(10x-23)+106=360

student were asked to choose their favorite food and 5/6 chose either pizza or tacos if 2/6 of the students chose pizza what fraction chose tacos

Answers

Answer:

3/6 or 1/2

Step-by-step explanation:

the amount that chose pizza = 2/6

5/6 = the amount that chose pizza + the amount that chose tacos

5/6 = 2/6 + the amount that chose tacos

the amount that chose tacos = 5/6 - 2/6

the amount that chose tacos = (5-2)/6

the amount that chose tacos=3/6=1/2

Answer:

3/6

Step-by-step explanation:

PLS HELP!
2x + 4 > 8

Answers

2x 4 =- 8

2 x + 4 = 8 2x+4=8 2x+4=8. Subtract 4 from both sides. Simplify 8 − 4 8-4 8−4 to 4. Divide both sides by 2.

A rectangle has a side length of 9 centimeters and 6 centimeters. What is the area of the rectangle?

Answers

Answer:

54 cm²

Step-by-step explanation:

To find the area, use the formula, A = lw

Plug in the length and width, and solve:

A = lw

A = 9(6)

A = 54

So, the area of the rectangle is 54 cm²

Answer:

[tex] \bf \huge 54 \: cm \: {}^{2} [/tex]

Step-by-step explanation:

correct Question :

A rectangle has a side length and wide of 9 centimeters and 6 centimeters. What is the area of the rectangle

Given that :

A rectangle has a side length and wide of 9 centimeters and 6 centimeters.

to find :

area of rectangle.

formulas used :

A = l × w

where,

A = area of rectangle l = lenth of rectangle W = wide of rectangle

explanation :

⟼ l = 9 cm

⟼ W = 6 cm

⟼ Area = l × b

⟼ Area = 9 × 6 cm

⟼ Area = 54 cm².

the area of rectangle is 54 cm².

PLZ HELP I WILL MAKE YOU BRAINLIEST NO FAKE LINKS

Answers

Answer:

1/30 of an hour

Step-by-step explanation:

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

Is it multiple choice? If it is then it’s B and D

Step-by-step explanation:

(Quick plz!!)
The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by this set?
[-8,1, 23. 11. 49)
A)
Irrational Numbers
B)
Integers
C
Natural Numbers
D
Rational Numbers

Answers

Answer:

the answer is d

Step-by-step explanation:

I just took the test

Select all numbers that have an absolute value of 6.3.

Answers

Answer:

6.3 & -6.3

Step-by-step explanation:

6.3 is the same as -6.3, hope this helps

Answer:

-6.3 and 6.3

Step-by-step explanation:

-6.3 is same as 6.3 is absoulte value

-3/8*2/5 + 2/5 * 5/8

Answers

Answer:

.1

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation

D. If the scale factor for the dilation of the figure is 0.9, then the dilation is an enlargement

Answers

Answer:

Option C.

Step-by-step explanation:

Suppose that we have a point (x, y)

If we do a dilation with a center in the origin of scale factor K, then the new coordinates of our point will be:

(k*x, k*y)

If k > 1, we have an elargement.

if 0 < k < 1, we have the opposite case.

Now, suppose that one random vertex of the preimage is A (a, b)

Then after we do the dilation, the new coordinate of this vertex will be:

A' = (k*a, k*b)  (this is, the original coordinates multiplied by the scale factor)

And this will happen for all points actually, so particularly the corresponding coordinates of the vertices of the image are the vertices of the preimage multiplied by the scale factor.

Then the correct option is C

the number value of 2 in the number 4256​

Answers

Answer:

200

Step-by-step explanation:

Answer: 200

Step-by-step explanation:

The two is in the hundredths place


Write an expression using the Distributive
Property to find the product of 7 X 63.

Answers

Answer:

7(60+3)

Step-by-step explanation:

Distributive property is written: a(b+c)

7 x 63 = (7x60) + (7x3) = 7(60+3)

Answer:

7 x (60 + 3)

Step-by-step explanation:

Kareem said that four fifths of his age is 16years how old is Kareem?

Answers

Answer:

12.8 so about 13

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4/5 of his age = 16

1/5 of his age = 16/4=4

which means that 5/5 of his age = 16+4 = 20

9 A right rectangular prism

What is the volume, in cubic meters, of the prism?

Answers

Answer:

D. 203

Step-by-step explanation:

volume= width X height X length

volume= 8 X 7 1/4 X 3 1/2

volume= 203

POSSIBLE POINTS: 6
Solve each equation and match the solution.



e+8=31
t−25=54
32=y −21
14=b−12
x+8.95=21.95
n +21 =32

Answers

Answers,

1. 23

2. 79

3. 53

4. 26

5. 13

6. 11

How I did this,

What I did was subtract 8 from 31 to get ( e ) by itself.

This subject will get harder so I reccomend you focus on school and learn how to do this.

Answer right and you get brainliest

What is the area

Answers

I believe 150 in
Area of triangle= 1/2 b x h
12 x 25=300/2 =150

ANSWER ASAP! SCAM LINKS REPORTED.

Answers

Answer:

b is correct

Step-by-step explanation:

i did this pls mark as branlyest

Answer:

I believe the answer is D

Step-by-step explanation:

Apply the distributive property to create an equivalent expression.
I will give brainiest but if you put a link i won't

Answers

9514 1404 393

Answer:

  12e -6f -8

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  = (6e)(2) +(-3f)(2) +(-4)(2)

  = 12e -6f -8

Lily has 3 dog toys that are red. One fifth of all her dog toys are red. How many dog toys does Lily have? Complete the explanation. Please I need help!!!!

Answers

Answer:

she has 15 dog toys

Step-by-step explanation:

mutlipy 3 by five because the top number is one

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