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Manny invested $8000 in an account that pays 6.5% simple interest. Manny will not make any additional deposits or withdrawals. How many years must the money stay invested for before the investment has a balance of $13,200?

Answers

Answer 1

Answer:

10 years

Step-by-step explanation:

Simple interest formula:

AV=PV(1+it)

13200=8000(1+.065t)

1.65=1+.065x

.65=.065x

10=x


Related Questions

Zachary is an engineer and studies trains. He found this interesting problem involving a passenger train and a freight train:

A passenger train left New York and traveled North while a freight left from the same place, at the same time and traveled South. After traveling for 6 hours the trains were 720 miles apart. If the passenger train was traveling at 80 mph, how fast was the freight train traveling

Answers

Answer:

40 m/hr

Step-by-step explanation:

6 hours * 80 m/hr      +     6 hours * x m/hr  = 720 miles

6 * 80     +    6 * x   = 720

x = 40 m/hr

Please help me. I will mark brainliest

Answers

Answer:

Step-by-step explanation:

Jevator has a weight limit of
7. There are 3 people inside
An elevator has a weight limit of 1 ton there are 3 people inside the elevator Each person weighs 150
pounds. How many more
Pounds can the elevator safely hold?
450 pounds
850 pounds
1,550 pounds
1,850 pounds

Answers

Answer:

i think it would be 1550?

Step-by-step explanation:

im pretty sure you add teh weight of the three people and convert it to one ton

Expand and simplify (4x−3y)(6x−5y).

Answers

Answer:

24x^2+15y^2-38xy

Step-by-step explanation:

(4x-3y)(6x-5y)

= 24x^2-20xy-18xy+15y^2

=24x^2+15y^2-38xy

Find the volume of a hemisphere that has the radius of 3 m to the nearest 10
(PLEASE ANSWER)

Answers

Volume of a hemisphere is 2/3•pi•r^3
The answer is 56.5m^3

What is the solution for 2.5x-5=5?

Answers

Answer:

Simplifying

2.5x + -5 = 5

Reorder the terms:

-5 + 2.5x = 5

Solving

-5 + 2.5x = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + 2.5x = 5 + 5

Combine like terms: -5 + 5 = 0

0 + 2.5x = 5 + 5

2.5x = 5 + 5

Combine like terms: 5 + 5 = 10

2.5x = 10

Divide each side by '2.5'.

x = 4

Simplifying

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

2.5x-5=5

isolate the variable to find your answer

2.5x-5=5

      +5>+5

2.5x=10

divide by 2.5

10/2.5=4

x=4

Write an expression that shows 104.

Answers

Answer:

k + 104

Step-by-step explanation:

k + 104

What number has 6 tens and 1
more one than tens?

Answers

Answer:

17

Step-by-step explanation:

Calculate the perimeter of the figure shown below.
5 ft
5 ft
10 ft
18 ft

Answers

Answer:

48

Step-by-step explanation:

10+5+18+15

pls mark brainliest

Which fractions are equivalent to 1 2 ? Select all that apply. A. 2 4 B. 3 6 C. 3 4 D. 4 8

Answers

Answer:

A , B And D


2/4 divide both numbers by to and you get 1/2


3/6 divide both numbers by 3 and you get 1/2


4/8 divide both numbers by 4 and you get 1/2

Answer:
A
B
D
Step-by-step explanation:

12+12=24
12+12+12=36
12+12+12+12=48

x^2-6x+1=0 solve by completing square

Answers

the answer is x= +- 2 square root of 2 + 3

Answer:

x = 3 ± 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

x² - 6x + 1 = 0 ( subtract 1 from both sides )

x² - 6x = - 1

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = - 1 + 9

(x - 3)² = 8 ( take square root of both sides )

x - 3 = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ( add 3 to both sides )

x = 3 ± 2[tex]\sqrt{2}[/tex]

What is the approximate surface area of the figure? Use 3.14 for pi. 65.72 cm² 113.04 cm² 37.68 cm² 75.36 cm²

Answers

113.04 cm²

==========

The figure given is a sphere with a radius of 3 cm

formula for surface area of sphere : 4πr²

Solve:

⇒ 4πr²

⇒ 4(3.14)(3)²

⇒ 113.04 cm²

113.04 cm²

Solving it:

The SA given is 4πr²

To get your answer

First, you multiply these

4πr²

Add/ Plug-in the radius:

4(3.14)(3)²

And this is your answer:

113.04 cm²

I have attached an image showing this is the correct answer!

Consider parallelogram VWXY below.
Use the information given in the figure to find m∠YXV, m∠Y, and x.

Answers

Answer:

56°, 84°, 3 units

Step-by-step explanation:

Properties of a parallelogram

Two adjacent angles are supplementaryOpposite angles are congruentOpposite sides are parallel and congruent

Use the properties to find the required parameters

1) Find m∠YXV

m∠YXV + m∠VXW + m∠VWX = 180°m∠YXV + 40° + 84° = 180°m∠YXV = 180° - 124°m∠YXV = 56°

2) Find m∠Y

m∠Y = m∠W = 84°

3) Find x

2x = 6x = 6/2x = 3

Answer:

m∠YXV = 56°

m∠Y = 84°

x = 3

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

⇒ m∠W + m∠WVX + m∠VXW = 180°

⇒ 84° + m∠WVX + 40° = 180°

⇒ m∠WVX = 56°

As VW ║ YX  and  YV ║ XW  then  m∠WVX = m∠YXV

So m∠YXV = 56°

In a parallelogram, opposite angles are congruent

⇒ m∠Y = m∠W

m∠Y = 84°

In a parallelogram, opposite sides lengths are congruent

⇒ VW = YX

⇒ 2x = 6

⇒ x = 6 ÷ 2

x = 3

What is the square root of -2i?

Answers

Answer:

1-i and -1+i

Step-by-step explanation:

We are to find the square roots of [tex]z=0-2i[/tex]. First, convert from Cartesian to polar form:

[tex]r=\sqrt{a^2+b^2}\\r=\sqrt{0^2+(-2)^2}\\r=\sqrt{0+4}\\r=\sqrt{4}\\r=2[/tex]

[tex]\theta=tan^{-1}(\frac{b}{a})\\ \theta=tan^{-1}(\frac{-2}{0})\\\theta=\frac{3\pi}{2}[/tex]

[tex]z=2(\cos\frac{3\pi}{2}+i\sin\frac{3\pi}{2})[/tex]

Next, use the formula [tex]\displaystyle \sqrt[n]{r}\biggr[\cis\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr][/tex] where [tex]\displaystyle k=0,1,2,...\:,n-1[/tex] to find the square roots:

When k=1

[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(1)}{2}\biggr)\biggr][/tex]

[tex]\displaystyle \sqrt{2}\biggr[cis\biggr(\frac{3\pi}{4}+\pi\biggr)\biggr][/tex]

[tex]\sqrt{2}\biggr(cis\frac{7\pi}{4}\biggr)[/tex]

[tex]\sqrt{2}(\cos\frac{7\pi}{4}+i\sin\frac{7\pi}{4})\\ \\\sqrt{2}(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i)\\ \\1-i[/tex]

When k=0

[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(0)}{2}\biggr)\biggr][/tex]

[tex]\sqrt{2}\biggr(cis\frac{3\pi}{4}\biggr)[/tex]

[tex]\sqrt{2}(\cos\frac{3\pi}{4}+i\sin\frac{3\pi}{4})\\ \\\sqrt{2}(-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\-1+i[/tex]

Thus, the square roots of -2i are 1-i and -1+i

please help me if you can tysm! :))))​

Answers

9.9 is your final answer

Answer:

9.9

Is the answer to the question

23, 92, 368, ..
Find the 6th term.

Answers

Answer:

6th term = 23,552

Step-by-step explanation:

Mutilyby 4 from left to right

368/92 =4---------------   92x4= 368

92/23=4--------------- 23x4 =92

1) 23

2) 23x4=    92

3) 92x4=386

4) 386x4=1,472

 ------and so on                          

From a set of whole numbers from 1 to 32, what is the probability of randomly choosing a number either divisible by 5 or divisible by 3?
A) 1/2
B) 7/16
C)15/32
D)5/8

Answers

Using it's concept, it is found that the probability of randomly choosing a number either divisible by 5 or divisible by 3 is given by:

B) 7/16

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

There is a total of 32 numbers.Those that are divisible by 3, 5 or both are: {3, 5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25, 27, 30}, that is, 14 numbers.

Hence the probability is given by:

p = 14/32 = 7/16.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use section formula ~

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{mx_2 + nx_1}{m + n} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{my_2 + ny_1}{m + n} [/tex]

And since mid point divides a line segment Into two equal parts, m : n = 1 : 1

so, take m = n = 1

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{(1 \times - 1)+(1 \times - 2)}{ 1+ 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{- 1- 2}{ 2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ - 3}{ 2} [/tex]

Now, let's find y - coordinate ~

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{(1 \times - 5) + (1 \times - 4)}{1 + 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{ - 5 - 4}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{ - 9}{2} [/tex]

So, coordinates of midpoint is ~

[tex]\qquad \sf  \dashrightarrow \:( - \dfrac{3}{2} ,- \dfrac{9}{2} )[/tex]

In a pizza restaurant, you can get a basic pizza with two toppings: cheese and tomato.
You can also make up your own pizza with extra toppings. You can choose from four
different extra toppings: olives, ham, mushrooms and salami.
Ross wants to order a pizza with two different extra toppings.
How many different combinations can Ross choose from?

Answers

The number of different topping combination illustrates combination

Ross have 6 different topping combination to select from

The number of different combination

The given parameters are:

Extra toppings, n = 4

Toppings to select, r = 2

The number of extra topping that Ross can select is then calculated  using the following combination formula

Toppings = nCr

This gives

Toppings = 4C2

Evaluate the combination expression

Toppings = 6

Hence, Ross have 6 different topping combination to select from

Read more about combination at:

https://brainly.com/question/11732255

8th grade mathe help8th grademath heelp

Answers

Answer:So for number 35 you will put the qwestion in a calculator... now you have your answer so put that ansor to the side, and solve all of the ones in the answer choices and see which one has a common answer from the one in the problem

Step-by-step explanation:

How do graphs help you understand the data?

Answers

Answer:

Sometimes, data can be better understood when presented by a graph than by a table because the graph can reveal a trend or comparison.

HELP ASAP PLS the area of the circle is 64 pi square cm what is the radius of the circle in cm

Answers

Answer:

8cm

explanation:

let radius of circle be r

area of circle = 64π cm^2

π×r^2=64π

r^2=64 (cancel out π from both side)

r=√64 ( square root both side to remove the power from r)

r=8 cm

Circle Y has an area of 394.38cm ^ 2 . What is the circumference? Use 3.14 for pi Round to the nearest hundredth.

Answers

Answer:

70.38 cm

Step-by-step explanation:

π = 3.14

Area of a circle = πr^2

394.38 = πr^2

125.598726 = r^2

r = 11.2070837 cm

Circumference = 2πr

C = 70.3804856 cm

What is the equation of the line that is perpendicular two and has the same y-intercept as the line with (0,1) and (5,0)

Answers

Answer:

its all about reletives so if u take the number then multiply by five u get 56.3

Step-by-step explanation:

u know

Please help me with my math homework

Answers

 

n this world, no one can survive alone. Team up with friends to fend off countless waves of zombies, fight bosses, earn coins, level up, and buy new towers! If you're feeling up for a challenge, try taking on harder bosses on harder difficulties!

Calculate the side lengths of the given scale.

Answers

Answer:

x: 4metres

y: 8metres

Step-by-step explanation:

using scale 1:4

x:16 ÷ 4

y: 2×4

Determine whether each set of data represents a linear, an exponential, or a quadratic function.

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

Set 1

[tex]\left[\begin{array}{ccc}x&y\\1&13\\2&6\\3&1\\4&-2\\5&-3\end{array}\right][/tex]

Quadratic [As it reduces at an unusual rate : -7, -5, -3, etc.]

Set 2

[tex]\left[\begin{array}{ccc}x&y\\-5&-34\\-4&-29\\-3&-24\\-2&-19\\-1&-14\end{array}\right][/tex]

⇒ y = 5x - 9

Linear

Set 3

[tex]\left[\begin{array}{ccc}x&y\\-2&0.0625\\-1&0.25\\0&1\\1&4\\2&16\end{array}\right][/tex]

Exponential [As seen by the perfect squares 0.0625, 0.25, 1, 4, 9..]

Set 4

[tex]\left[\begin{array}{ccc}x&y\\-6&28\\-3&19\\-1&13\\0&10\\3&1\end{array}\right][/tex]

Quadratic [As it reduces at an unusual rate : -9, -6, -3, etc.]

After she finished making the cookies, Ashley had 0.945 kg of flour lett. How much flour did she use?​

Answers

Answer:

[tex]she \: used \: 1.695 \: kg \: of \: flour.[/tex]

Step-by-step explanation:

[tex]2.64 - 0.945 = 1.695[/tex]

Obviously the question is not complete but if it’s that type of question then she used
x minus 0.945 kg.
Hope that helps.

A sphere has a radius 4 cm. What is its volume, to the nearest cubic cm? Write your answer to the nearest 10th place and use 3.14 for π???? HELPPPPP ASAP PLEASE!!!!!!!!!!!!!!!AND THANKS

Answers

Answer:

267.95

Step-by-step explanation:

Sphere Volume = 4/3 π r³

= 4/3 × 3.14 × 4³

= 803.84/3

= 267.94666...

= 267.95

Factor −4x^2 +6x. Is this a special product?

Answers

The special product is -2(2x - 3)x
Other Questions
Many aerosol cans have warning labels on the sidethat say to keep away from heat and fire. Why? Hii someone pls help. I will give brainliest!Fill in the blanks by putting these words (conjugated by the -re verbs)connatrecraindrecroiremettrediredplairereconnatrene pas sourire The recommended daily dose of calcium is _____ milligrams; most teens consume less than _____ milligrams per day. Justify the first step that David took in verifying that x = 5 is a solution for the equation8x 13 = 2x + 17.8x 13 = 2x + 178(5) 13 = 2(5) + 17A.David multiplied 8 by 5.B.David subtracted 13 from both sides.C.David replaced x with 5.D.David added 17 to both sides. Please help!!! i'll give brainliest and offering 20 pts each!!! write each trinomial in the form a(x+b)^2 or a(x-b)^2please answer all questions correctly! please no spam :-( 5x^2 + 15x + 11.25 10x^2 +20x +101/4x^2 + x + 13x^2 + 5x + 25/12explanation isn't necessary, but i will give brainliest to the person with an explanation/best explanation Which of the following is a quality of a feelerA) focus on logic B) system of lists and calendarsC) empathy for others D) depth of interest Whats the answer???? 50 points!! If you dont know, skip my stuff. A well written letter to your mom telling her about your choice of a future career telling her why you made the choice and how you intend on achieving it Kate and Patty are both saving money to go to a RedSox game. Patty has $60 already and decides to put$10 per week into her savings, while Kate doesn't haveany money to start, but commits to saving $25 everyweek.After 6 weeks, who will have more money saved?EXPLAIN HOW YOU KNOW. The original blueprint for the Morenos livingroom has a scale of 2 inches5 feet, The familywants TO use a new blueprint that shows thelength of the living room to be 15 inches. Ifthe width of the living room on the originalblueprint is 6 inches and the length is 9.6 inches,what are the scale and the width of the newblueprint? What is the preferred setback distance from overhead wires during cleanup. I need help with this Conclusion And discussion Its a science assignments Is the history of the United States a story of freedom? Or of oppression? Or both?Provide some evidence to support your claim.(Use bullet points and make a list.) the young woman say i dont want no brandy instead of i dont want any brandy what does this word choice tell us about the character ? In a fish, blood circulates through __________, whereas in a mammal, it circulates through __________. Why do some animals migrate in and out of the coniferous forest?. my parents forbade me to play in the street (into direct speech) Writing explain how to rewrite a percent as a decimal. then rewrite 48% as a decimal. hey guys, i need help with this ill give you brainlist :) Find the measure of angle 4689446890136