Steven deposited $3500 into a savings account for 2 years at 3% compounded daily. How
much will the savings account have in it at the end of that time?

Question is incomplete

Answer:

See Explanation

Step-by-step explanation:

Let the cubic function be

[tex]f(x) = (x,y)[/tex]

First transformation: Vertical compression

Let the scale factor be a where [tex]0 < |a| < 1[/tex]

The new function becomes:

[tex]f'(x) = (x,ay)[/tex]

Next: Reflection over y-axis

The rule is: [tex](x,y)=>(-x,y)[/tex]

The new function becomes:

[tex]f"(x) = (-x,ay)[/tex]

Lastly: Shifted up

Let the units up be b

The rule is: [tex](x,y)=>(x,y+b)[/tex]

So, the new function becomes:

[tex]f"'(x) = (-x,ay+b)[/tex]

Using the rules states above, assume the cubic function is:

[tex]f(x) = x^3[/tex]

Vertical compress [tex]f(x) = x^3[/tex] by [tex]\frac{1}{2}[/tex]

[tex]f'(x) = \frac{1}{2}x^3[/tex]

Reflect [tex]f'(x) = \frac{1}{2}x^3[/tex] over y-axis

Rule: [tex]f"(x)= f'(-x)[/tex]

Solving f'(-x)

[tex]f'(x) = \frac{1}{2}x^3[/tex]

[tex]f'(-x) = \frac{1}{2}(-x)^3[/tex]

[tex]f'(-x) = -\frac{1}{2}x^3[/tex]

So:

[tex]f"(x) = -\frac{1}{2}x^3[/tex]

Lastly: Shift [tex]f"(x) = -\frac{1}{2}x^3[/tex] by 3

Rule: [tex](x,y)=>(x,y+b)[/tex]

[tex]f'"(x) = f"(x + 3)[/tex]

Solving: f"(x + 3)

[tex]f"(x) = -\frac{1}{2}x^3[/tex]

Substitute x + 3 for x

[tex]f"(x + 3) = -\frac{1}{2}(x + 3)^3[/tex]

So:

[tex]f'"(x) = f"(x + 3)[/tex]

[tex]f"'(x) = -\frac{1}{2}(x + 3)^3[/tex]

Answer:

There was a 24% decrease

Step-by-step explanation:

Percentage decrease = (final season's score - semi-final score) / semi final score x 100

[tex]\frac{95-125}{125}[/tex] ×100

[tex]\frac{-30}{125}[/tex] × 100 = -24%

Answer:

Rental cost for each movie = $1.25

Rental cost for each video game =$5.25

Step-by-step explanation:

Let the cost of 1 movie is $x

Cost of 1 video game is $y

So, we can set up equations for the given information

6x+2y =18

3x+5y=30

Let's solve the equations.

Multiply the second equation by -2 to get rid the 'x' terms.

6x+2y =18

-6x-10y=-60

-----------------

 -8y=-42

Divide both sides by -8

y=5.25

Now, plug in y as 5.25 into any of the given equations to find the corresponding x.

3x+5(5.25)=30

Simplify and solve for x.

3x+26.25=30

Subtract both sides 26.25

3x=3.75

Divide both sides by 3

x=1.25

Rental cost for each movie = $1.25

Rental cost for each video game =$5.25

Answer:

8+192x5=8+960=968 is your answer

Answer:9

Step-by-step explanation:

Marcus is 59.5 inches tall.(?)

Step-by-step explanation:

it's because Zoey is 63.75 inches tall and Zoey is just 4.25 inches taller than Marcus so 63.75 minus 4.25 is equal to 59.5.(not sure)

Answer:

$126

Step-by-step explanation:

A deposit adds money into your checking account, so add $150 to $37.

150+37=187

If you write a check, you take money out, so subtract $61 from $187

187-61=126

Your final answer is $126. Hope this helps!

Answer:

mhm

yea

no

that number is too big for my brain cells to comprehend

sry

thx for the points!

Step-by-step explanation:

8t + 1 = 97

8t = 96

t = 96/8

= 12

Answer:

8 liters

Step-by-step explanation:

If the sum of 2 + x = 10,

then you subtract 10 - 2 = x,

to get x = 8

Answer:

The correct answer is 10.99

Step-by-step explanation:

Took the test but I am too lazy to post a ss

Answer:

(1,4)

Step-by-step explanation:

The original price of the sweater will be $50.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

It is given that Julie buys a sweater that is on sale for 20% less than the original price. If she pays $40, then the original price of the sweater will be calculated as below.

80% of original price = $40

1% of the original price = 40 / 80

100% of the original price = (40/80) x 100

100% of the original price = 100 / 2

Divide 100 by 2 to get the value.

100% of the original price = $50

Therefore, the original price of the sweater will be $50.

To know more about percentages follow

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Answer:

2x+3y+2

Step-by-step explanation:

use commutative property

7x-5x+4y-y+2

2x+4y-y+2

2x+3y+2

Answer: yes

Step-by-step explanation:

8.2 is 8 point 20. This is the same as 8.20

Answer:

Possible answers:

(24) x j - 16

8 x (3j - 2)

Answer:

Its 4 but ima just explain it :- )

Step-by-step explanation:

okay so what you gotta do is 60 - 47.50=12.5/3=4.166666

4.1666 you turn into 4

Maximum possible number of gigabytes 47.50+ 3x ≤ 60

The number of maximum gigabytes of data he can use would be 4.

Inequality is defined as the relation which makes a non-equal comparison between two given functions. It shows a relationship between two numbers or two expressions.

We have,Cost of flat per month = $47.50

Cost per gigabyte = $3

Maximum bill per month = $60

Maximum possible number of gigabytes as;

47.50 + 3x ≤ 60

Where x is the number of gigabytes.

Solve for x;

47.50 + 3x ≤ 60

3x ≤ 60 - 47.50

3x ≤ 12.5

x ≤ 47.50/3

x ≤ 4.1

x ≤ 4

This means that the number of maximum gigabytes of data he can use is 4.

We can cross-check.

47.50 + 3 x 5 ≤ 60

47.50 + 15 ≤ 60

61 ≤ 60 ( not possible )

So,

47.50+ 3 x 4 ≤ 60

47.50 + 12 ≤ 60

58 ≤ 60

Thus,

The number of maximum gigabytes of data he can use is; 4.

Learn more about inequalities here:

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Answer:

48.35

Step-by-step explanation:

6*6= 36

(6*3/2)=9

1/2*3.14=1.57

1/4*3.14= 1.78

36+9+1.57+1.78

Answer:

6-12.

Step-by-step explanation:

Between 6 to 12 two numbers must the third side of the card fall.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that Sarah is creating a triangular birthday card for her teacher.

Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.

It should be known that two of the sides measure 4 inches and 9 inches.

Therefore, in between 6 to 12 the third number must be lie.

More about the Algebra link is given below.

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Step-by-step explanation:

The volume of any object needs to be 3d,

so you need to calculate all sides of the cube

it would be base length times base width times the height to get your volume

But since all sides are equal to each other it would be 5.6x5.6x5.6 or 5.6^3=175.616 (units cubed or ^3)

Hope that helps :)

Please give brainliest

Answer: jimmy needs a new job

Step-by-step explanation:

Answer: -10

Step-by-step explanation:  -24/-8 = 3

3-13 = -10

Answer:

-10

Step-by-step explanation:

Use Pemdas:

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Since there is no exponents, or multiplication, we will do division, then subtraction.

-24÷-8=

3

____________________

3-13=

-10

____________________

I hope this helps   :)

Answer:

2 dress shirts

5 plain shirts

Step-by-step explanation:

2 dress shirts = 28x2=56

5 plain shirts =15x5=75

56+75=131

2+5=7

Answer:

give 2 minutes okkkkkkkkkkkkkkkkkkkkkk

Well...

[tex]\frac{5}{3*(-6)}\\=\frac{5}{-18} \\=-\frac{5}{18}[/tex]

Answer:

∠y = 62.5°

∠x  =  27.5°

Step-by-step explanation:

z is right angle. ∠z = 90°

∠x = ∠y - 35

∠x + ∠y + ∠z = 180      {Angle sum property of triangle}

y - 35 + y + 90 = 180

y + y - 35 + 90 = 180 {Combine like terms}

  2y  + 55 = 180

          2y = 180 -55      {Subtract 55 from both sides}

          2y = 125         {Divide both sides by 2}

            y = 125 /2

∠y = 62.5°

∠x = 62.5 - 35 = 27.5°

Answer:

Step-by-step explanation:

Natasha use the distance formula

d = sq rt [ x2 - x1)^2 + (y2-y1)^2 ]

d = sq rt [ 2 - (-5) ) ^2  + (-3 - 4)^2 ]

d = sq rt [ 2 + 5 ) ^2 + -7^2 ]

d = sq rt [ 7^2 + - 7^2 ]

d = sq rt [ 49 +49]

d = sq rt { 98]

d = [tex]\sqrt{98}[/tex]

d = [tex]\sqrt{7*7*2}[/tex]

d = 7[tex]\sqrt{2}[/tex]

leave it in that from b/c the square root is in exact form  :)

Answer:

3b = 3 x 5

3 x 5 + 10 = 15 + 10 = 25

Answer:

Step-by-step explanation:

12

Answer:

18.84

Step-by-step explanation:

The formula for circumference is 2*pi*r

So,

2*3.14*3

which equals,

18.84