Heather invested $11,600 in an account that pays 5% simple interest. If she invests the money for 6 years, how much will she have?
The total amount in the account after 6 years is $______?

Answers

Answer 1
The amount she will receive after 6 years
=$11600*(1+5%*6)
=$11600*1.3
=$15080
Answer 2

Answer

$15080

Step-by-step explanation:

ok so i havent done these in a while but basically.

First, we need to find out what the 6% is.

[tex]\frac{5}{100} \times \frac{11600}{1}[/tex]

5/100 because it's PERCENT, and well we need to put the 11600 out of 1.

Wich gives us

$580. THen, we multiply that by 6, (6 years). Which gives us

$3480. Now, we add that to the $11600. WHich gives us

$15,080.

Hope this helps!


Related Questions

What is the best way to describe the center of the data represented in this line plot?


Select from the drop-down menus to correctly complete the statement.


The Choose is Choose. your options are for the first one is Mean or Median then for the second one is 2 inches, 2.5 inches, 3 inches, or 3.2 inches

.

Answers

The best way to describe the center of the data represented in this line plot include the following: the median is 2.5 inches.

What is a median?

In Mathematics, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

Since the data set representing the amount of rainfall has an outlier, the median would be best way to describe the center of the data represented in this line plot.

First of all, we would sort the 10 observations from the least to greatest as follows:

1, 1, 2, 2, 2, 3, 3, 5, 6, 7

Median = (2 + 3)/2

Median = 5/2

Median = 2.5 inches.

Read more on median here: brainly.com/question/452652

#SPJ1

Find the axis of symmetry and the vertex of the graph of y=3x^2+2x

Answers

Answer:

Vertex is (-1/3, -1/3) and the axis of symmetry is x = -1/3

Hope this helps :)

PLEASE HELP I NEED TO FINISH THIS TODAY PLEASE BE RIGHT I NEED TO GET TO 70 AND I AM IN 54

Answers

Answer:

M"(-5, -7)N"(-5, -3)O"(0, -3)

Step-by-step explanation:

Each of the transformations can be written in terms of what they do to the coordinates:

  (x, y) ⇒ (-y, x) . . . . . . rotation 90° CCW

  (x, y) ⇒ (x -7, y-8) . . . . translation 7 left and 8 down

__

Together, these transformations result in the composite transformation ...

  (x, y) ⇒ (-y -7, x -8)

The end values of the original points are then ...

  M(1, -2) ⇒ M"(-(-2) -7, 1 -8) = M"(-5, -7)

  N(5, -2) ⇒ N"(-(-2) -7, 5 -8) = N"(-5, -3)

  O(5, -7) ⇒ O"(-(-7)-7, 5 -8) = O"(0, -3)

_____

Additional comment

You can get an idea of what the 90° rotation looks like by printing the figure and turning it 1/4 turn counterclockwise. The points will have the same relative locations with respect to the axes. Effectively, you are relabeling the x-axis to y, and the -y axis to x. (That is what the 90° CCW transformation formula is telling you.)

Alternatively, you can turn your head sideways when you look at the computer screen.

In the attachment, the black arrow represents the translation vector, 7 left and 8 down.

Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for
$17 each.
What is the mean amount that he spent?
$34.62
$32.81
$25.86
$22

Answers

Answer:

25.86

Step-by-step explanation:

22 * 5 = 110

50 * 3 = 150

17 * 6 = 102

110 + 150 + 102 = 362

362 / 14 = 25.86

Jessica needs 658 cups of flour for her recipe. The box she has only has 78 cup of flour left in it.

How many more cups of flour does she need?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

5 3/4 cups.

Step-by-step explanation:

Subtract the two amounts.

6 5/8 - 7/8

Make 6 5/8 an improper fraction by multiplying the 8 and 6 then adding 5.

8 x 6 = 48

48 + 5 = 53

53/8

53/8 - 7/8 = 46/8

Convert back into a mixed number by dividing.

46/8 = 5 6/8

reduce the fraction

5 3/4

At a track meet, Jacob and Daniel compete in the 220 m hurdles. Daniel finishes in of a minute. Jacob
finishes with of a minute remaining. Who ran the race in the faster time?
12

Answers

At a track meet, Jacob and Daniel compete in 220 m hurdles.
Daniels finishes in of the a min.
Jacob finishes with of a min remaining.
Question:
Who ran the race in faster time?
The Process:
Let us see the denominators. The least common multiple (LCM) of 4 and 12 is 12.
Let us draw the diagram that represents a minute.
12 units represent in one minute.
Daniels finishes in of the a min.
or 9 of 12 units.
Jacob finishes with of a min remaining, or 5 of 12 units. This means Jacob finishes in or 7 of 12 units, that is
And now we conclude who ran the race in a faster time.
Daniels:
Jacobs:
Because Jacob took the race in a shorter time, he was who ran the race in a faster time.
- - - - - - - - - -
Quick Steps
Daniels: in of the a min.

Jacob: in of the a min.

Jacob's time is shorter, so he's the fastest.
- - - - - - - - - -
Calculate the speed
Recall
Daniels:
Jacob:
Thus, Jacob's speed proved greater than Daniels's speed.

Find the area of the polygon

Answers

Answer:

answer is 40

hope it helps

solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]

thankyou ~​

Answers

[tex]x^2 -5x +6 =0\\\\\implies x^2 -3x -2x +6 = 0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-3)(x-2)=0\\\\\implies x =3, ~ x = 2[/tex]

Answer:

The value of x = 2 or 3

Step-by-step explanation:

By factorisation ,

=> x² - 5x + 6 =0

=> x² - 3x - 2x + 6 = 0

=> x ( x-3 ) -2 ( x-3 ) = 0

=> (x-2) (x-3) = 0

so, the value of x = 3 or 2

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

Blue stars are the hottest stars.

The domain of a function g(x) is x< 2. and the range is y > 0. What range the domain and range of its inverse function, g[tex]g^-1[/tex](x)?

Answers

Answer: the answer is b

Step-by-step explanation:

Domain and ranges of inverse functions are swapped.

Domain of the original is the range of the inverse and vice versa.

The area of the circle

Answers

Answer:

314 miles

Step-by-step explanation:

Area of circle: 3.14(r^2)

Now lets solve!

3.14(10^2)

3.14(100)

314

Have an amazing day!!!

Please rate and mark brainliest!!

The area of the circle formula --> [tex]\pi r^2[/tex]

[tex]\pi[/tex] ≈ 3.14r: length of radius --> 10 mi

 [tex]Area = \pi r^2=\pi (10mi^2) = (100\pi) mi^2= 314 mi^2[/tex]

Hope that helps!

please help explain how to solve this

Answers

Answer:

C

Step-by-step explanation:

When I input the x value of -2 as shown in the first box of the x&y table the only equation that gave me the correct y was C so I suggest in future problems going in and to input an x value given by the table so that way you can see if it will match up with the corresponding y value

Which of the numbers listed below are solutions to the equation? Check all
that apply.
x² = -64
O
A. -8
O
B. -64
0 C. 8
1
D. -4
u
E. 64
F. None of these

Answers

Answer:

F. None of these

Step-by-step explanation:

A number can never be negative when squared unless an imaginary number is involved. Since none of the answers involve i, the answer must be F. None of these.

-10 x 4 =
-21 x 5=
-20 x 9=
-199 x 1=​

Answers

Answer:

•SEE ABOVE ATTACHMENT•

HOPE IT HELPS!

MARK AS BRAINLIAST.

Answer:

-10 x 4 = -40

-21 x 5 = -105

-20 x 9 = -180

-199 X 1 = -199

which graph represents the parabola with the equation y^2=-1/3x

Answers

Step-by-step explanation:

The graphs are not give but the graph looks like the above picture.

Solve and describe the steps used to find x for the equation 4 (x+4) – 10 = 14 ​

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

Given equation:

[tex]4(x+4)-10=14[/tex]

Add 10 to both sides:

[tex]\begin{aligned}4(x+4)-10+10 & =14+10\\ 4(x+4) & =24\end{aligned}[/tex]

Divide both sides by 4:

[tex]\begin{aligned}\dfrac{4(x+4)}{4} & =\dfrac{24}{4}\\ x+4 & =6\end{aligned}[/tex]

Subtract 4 from both sides:

[tex]\begin{aligned}x+4-4 & =6-4\\x & =2\end{aligned}[/tex]

Therefore, the solution is [tex]x=2[/tex]

Answer:

x = 2

Step-by-step explanation:

To solve the expression, we need to isolate the "x" variable. Start out by simplifying the distributive property on the left hand side.

⇒ 4(x + 4) - 10 = 14⇒ 4x + 16 - 10 = 14

Simplify the left hand side as needed to determine the "x" variable.

⇒ 4x + 6 = 14

Subtract 6 both sides to isolate the "x" variable and it's cooeficient.

⇒ 4x + 6 - 6 = 14 - 6⇒ 4x = 8

Divide both sides by 4 to isolate the "x" variable. Our solution will be a constant on the right hand side.

⇒ 4x/4 = 8/4⇒ x = 2

Thus, the value of x is 2.

3/4 of tom's favorite number is 36. what number is one half of tom's favorite number

Answers

Answer: 3/4 is 75%

Step-by-step explanation: Since his fav number is 36 the half of 36 is 18 bc 18 + 18 is 36

Solve the following equation
X = 2x+8/x

Answers

Answer:

2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

x=2x+8/x

x-2x=8/x

-x=8/x

8=-x(x)

8=-x^2

8-(-x^2)=0

8+x^2=0

x^2+8=0

x=2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

[tex]x = \frac{2x + 8}{x} [/tex]

[tex] {x}^{2} = 2x + 8[/tex]

[tex] {x}^{2} - 2x - 8 = 0[/tex]

[tex](x - 4)(x + 2) = 0[/tex]

[tex]x = 4[/tex]

or

[tex]x = - 2[/tex]

Evaluate (sqrt(2+i))^8

Answers

Step-by-step explanation:

[tex]( \sqrt{2 + i} ) {}^{8} [/tex]

Notice that

[tex] \sqrt{a} = a {}^{ \frac{1}{2} } [/tex]

So

show that the function [tex] f : R \dashrightarrow R [/tex] defined by f ( x ) = [tex]\frac{1}{x} \\ [/tex] is one - one but not onto.

thankyou! :)​

Answers

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

The given function is :

[tex]\qquad \tt \dashrightarrow \:f(x) = \frac{1}{x} [/tex]

here, for each value of x there is an unique value of f(x), so we can infer that it's a " one - one " function.

but it isn't an onto function because for value of x as 0, we have no value of f(x) [ undefined ]


How many seconds is 3.25 hours

Answers

Answer:

a total of 11700 senconds are on 3.25 hours


A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability that
a randomly selected balloon would be green or orange?

Answers

Answer:

There is motlre chance that a green Ballon will be selected because green Ballon are more than orange

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

i need help asap this is k 12 and 100 points

Answers

Answer:

6.8

Step-by-step explanation:

Add the numbers and divide by the amount of numbers and get 6.8

Answer: 6.8.

Step-by-step explanation: When finding the mean of a data set, you need to add all the numbers of the set, and then divide the answer by however many numbers you have on the data set.  The work is done below:

14 + 7 + 2  8 + 3 = 34.

34 / 5 = 6.8, because there are 5 numbers in the data set.

Have a great day! :)

=
EXPONENTS AND POLYNOMIALS
Factoring a quadratic by the ac-method
Factor by grouping (sometimes called the ac-method).
2
2x + 3x-9
-
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.

Answers

Answer:

5x-9

Step-by-step explanation:

Add 2x and 3x since they're like terms

5x-9

5x-9 ask your teacher about your homework

In ΔABC, m∠A=4x+7 and m∠B=5x−3. What is the m∠A?

Answers

5x-3+4x+7+90=180
9x-3+7+90=180
9x+94=180
9x=86
x=9.5555555555555555(etc)

Answer:

Angle A = 47

Step-by-step explanation:

Angle A = Angle B { equal sides have equal angles. }

so,

4x + 7 = 5x - 3

7 + 3 = 5x - 4x

10 = x

so Angle A = 4x + 7 = 4(10) + 7 = 40 + 7 = 47⁰

7(5/14a-5/21)-1/12(3a+6)

Answers

[tex]\sf \dfrac{9a}{4}-\dfrac{13}{6}[/tex]      or     [tex]\sf \dfrac{54a-52}{24}[/tex]

======================================

[tex]\sf \rightarrow 7\left(\dfrac{5}{14}a-\dfrac{5}{21}\right)-\dfrac{1}{12}\left(3a+6\right)[/tex]

use distributive method

[tex]\sf \rightarrow \dfrac{5a}{2}-\dfrac{5}{3}-\dfrac{a}{4}-\dfrac{1}{2}[/tex]

group terms

[tex]\rightarrow \sf \rigtharrow \dfrac{5a}{2}-\dfrac{a}{4}-\dfrac{5}{3}-\dfrac{1}{2}[/tex]

make the denominators same

[tex]\rightarrow \sf \rigtharrow \dfrac{2(5a)}{4}-\dfrac{a}{4}-\dfrac{2(5)}{6}-\dfrac{3(1)}{6}[/tex]

simplify

[tex]\rightarrow \sf \rigtharrow \dfrac{10a-a}{4}-\dfrac{10+3}{6}[/tex]

answer in separate constants

[tex]\rightarrow \sf \dfrac{9a}{4}-\dfrac{13}{6}[/tex]

make the denominators same

[tex]\rightarrow \sf \dfrac{6(9a)}{24}-\dfrac{4(13)}{24}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{54a}{24}-\dfrac{52}{24}[/tex]

join both fractions

[tex]\rightarrow \sf \dfrac{54a-52}{24}[/tex]

Answer:

 [tex]\boxed{\dfrac{9a}{4} - \dfrac{7}{6}}[/tex]

Step-by-step explanation:

[tex]7(\dfrac{5a}{14} - \dfrac{5}{21} ) - \dfrac{(3a + 6)}{12}[/tex]

Step-1: Simplify the distributive property

⇒ [tex]\dfrac{35a}{14} - \dfrac{35}{21} - \dfrac{(3a + 6)}{12}[/tex]

Step-2: Make common denominators

⇒ [tex]\dfrac{35a \times 3}{14 \times 3} - \dfrac{35 \times 2}{21 \times 2} - \dfrac{7 \times (3a + 6)}{12 \times 7}[/tex]

⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{7 \times (3a + 6)}{84}[/tex]

Step-3: Simplify the distributive property

⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{21a + 42}{84}[/tex]

Step-4: Rewrite (21a + 42)/84 in a different way

⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{21a}{84} + \dfrac{42}{84}[/tex]

Step-5: Add/Subtract if necessary

⇒ [tex]{\dfrac{189a}{84} - \dfrac{98}{84}}[/tex]

Step-6: Simplify the fractions

⇒ [tex]{\dfrac{189a}{84} - \dfrac{98}{84}} = {\dfrac{9a}{4} - \dfrac{49}{42}} = \boxed{\dfrac{9a}{4} - \dfrac{7}{6}}[/tex]

Drag each expression to show whether it is equivalent to 36x + 9 or 9(4x – 1).

Answers

The answer is below!!

Equivalent expressions of  36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression  is 36x+9

Thirty six times of x plus nine.

In the expression x is the variable and plus is the operator.

Equivalent expressions are expressions that work the same even though they look different.

The equivalent expression of  36x+9 are 9(4x+1)

and 9.4x +(9.1) we get this factoring the expression.

Now the other expression is 36x-9

Thirty six times of x minus nine.

Minus is the operator in the expression.

The equivalent expressions are 9(4x-1) and 9.4x-(9.1)

Hence,  equivalent expressions of  36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1)

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ7

100 POINTS AND BRAINLIEST. I need help ASAP.
Screenshots Below.




Consider the table of values for functions f(x) and g(x).

x f(x) g(x)
−2 14 4
−1 12 1
0 1 0
1 2 1
2 4 4
3 8 9
4 16 16
Which statements are most likely true based on the given values?

Select each correct answer.


f(x) is a polynomial function.

f(x) is an exponential function.

g(x) is a polynomial function.

g(x) is an exponential function.

The output values of g(x) will remain greater than those of f(x) as the input values continue to increase.

The output values of f(x) will surpass those of g(x) as the input values continue to increase.

Answers

Answer:

Step-by-step explanation:

First what we must do is rewrite the table to find a solution:

0.25^x −0.75x+1

   64     3.25

   16     2.5

    4      1.75

    1      1

 0.25     0.25

 0.0625 −0.5  

 0.015625  −1.25

We see where the values of the function are the same:

x = 0 (1)

x = 1 (0.25)

answer:

x = 0

x = 1

Answers:

f( x ) is an exponential function.g( x ) is a polynomial function.The output values of f( x ) will surpass those of g( x ) as the input values continue to increase.

For each pair of similar figures, find the ratio of the area of the first figure to the area of the second.

Answers

answer:

[tex]\frac{4}{9}[/tex]


explanation:

the area of the larger square is 36 (6*6), and the area of the smaller square is 16 (4*4). to find the ratio of the area, simply just put 16 over 36 and simplify.

[tex]\frac{16}{36} = \frac{4}{9}[/tex]

--

if this helped, please consider giving brainliest !

If 20 articles cost ₹ 90, then the cost of 9 articles is

Answers

Answer:

₹ 40.50

Step-by-step explanation:

Cost of 20 articles = ₹ 90

Cost of 1 article = ₹ 90/20

Cost of 9 article = 9 x 90/20 = ₹ 40.50

Other Questions
What does Finny reveal to Gene the second night Gene visits him?O He has been writing to the Army, Navy, and Marines about joining the war.O He hates Gene for jouncing the limb.O He still believes the war is a conspiracy.O All of the above There is far more practical ground to cover before you take to the skies, the seas, or the road. Do your homework. Youll know youve earned a passing grade when youre having the time of your life.How did you understand from this paragraph? a sector has radius 14 in central angle 120 find the area of the sector Over the years political cartoonists have often satirized world leaders, making them targets ofridicule. What do you think cartoonists achieve by mocking such figures? How does the poet use personification in stanza 1 of the poem? /How does the poet personify difficulties in the poem? How many months did lillie make on-time payments for her line of credit at astoria federal savings? If you do more work in less time you have displayed more __PEWork Joules Power Which statement describes seafloor spreading?O A. Ocean basins grow wider as new oceanic crust forms at adivergent boundary.B. Ocean basins grow narrower as one plate is forced downward at aconvergent boundary.C. Deep trenches form between two plates that are moving awayfrom each other at a divergent boundary.D. Deep trenches form where an oceanic plate is forced under acontinent at a convergent boundary. When stress is applied under conditions of high pressure and high temperature, rock is more likely toa. fracture b. sink c. faultd. fold 39 28. If y = (1 - 3x), find the value of dy! dx at x = -1. Draw a rectangle which all sides are different lengths how do we affect the economy? Convert 85 miles per hour to meters per second. (Use 1.61 km = 1 mile)show the steps At midnight the temperaturewas -12C. Twelve hourslater the temperature had risen19C. What was the middaytemperature? in which century was the DNA database established negative decimals on the number line part 1 Please help!Olivia's mom decided to wallpaper the living room. At the store, the wallpaper was selling for $11.68 for a roll with 100 linear feet. What is the price per linear foot of the wallpaper? George started a coin collection. his dad gave him 75 coins. each month he will add 20 coins to the collection. which equation can be used to find y, the total number of coins in georges collection after x months? At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 15 km/h. How fast (in km/hr) is the distance between the ships changing at 4:00 p.m.? (Round your answer to three decimal places.) Alcohol is a(n) A: HallucinogenB: InhalantC: depressant