Henri puts aside $10 cash every month in a shoebox. He also makes a one-time deposit of $1,500 in a savings

account at 9% annual interest, compounded yearly,

Amount of shoebox savings: f(t) = 120t

Amount of savings account: g(t) = 1,500(1.09)^t

Which function represents the amount of money Henri will have after t years?

Answer:

Step-by-step explanation:

hello :  

the vertex -form of quadratic function f(x) is : f(x) = a(x+b)²+c

the vertex : (- b , c )  

means : (-2,-3)   so :  -b = -2   and  c = - 3      so  :  b =2  and  c = -3

f(x) = a(x+2)²-3

calculate : a  

the graph  passes through the point (2, 13) : f(2)=13

means : a(2+2)²-3 = 13

16a - = 13

16a = 16   so : a = 1

f(x) is represented by the equation f(x) = (x+2)²-3

The graph of  f(x) color red  and g(x) blue

is the y-intercept when g(x) greater g(x) than f(x) is when x=0  so : y = 6

Answer:

45

Step-by-step explanation:

98+37=135

180-135=45

Answer:10^2+24^2

Step-by-step explanation:the required expression equivalent to the area of the square A in inches is (10² + 24²).

Answer :- D

Refer to the attached image for solution ❤️

Answer:

If you had 32 questions and got a grade of 75% then you would have gotten 8 questions wrong and 24 correct anwsers.

Answer:

pag times mo po sya tyaka download ka photo ma tsaka ma kipag up a9e

Answer:

The answer is B, 14.

Step-by-step explanation:

Answer: 14

Step-by-step explanation: I took the test and got it correct :)

Answer:

A. 38.5

Step-by-step explanation:

Since the angles <XWZ and <XYZ are congruent, <ZYW is just half of <XYZ, so you would just divide 77 in half to get your answer. It's a rhombus, so it works similarly to a square. If one side is congruent, the other is too.

Answer:

The answer is 180ft

Step-by-step explanation:

The reason the answer is 180ft is because your using area which means your are multiplying all your answers.

Answer:

$1.40

Step-by-step explanation:

First, 8% of $45

45*0.08=3.6

45+3.6=48.6

50-48.6=1.4

the answer is C or it got to be D or B

Answer:

Step-by-step explanation:

perimeter of larger hexagon=2.5 perimeter of smaller hexagon

Answer:

Associative Property

Explanation:

Associative property is when you add and group numbers in any combination.

Answer: See explanation

Step-by-step explanation:

Since their goal was $550 for the entire week and the sale has lasted 4 days already and each day they raised about $135.50, the amount raised for the 4 days will be:

= $135.50 × 4

= $542.00

No, they won't make their goal by the 4th day.

The amount needed on the 5th day will be:

= $550 - $542

= $8

They'll need $8 on the 5th day.

Answer:

5 m

Step-by-step explanation:

Use the volume formula, V = lwh

Plug in the volume, width, and height, then solve for l (the length)

V = lwh

70 = (l)(2)(7)

70 = 14l

5 = l

So, the length of the rectangular prism is 5 m

Answer:

We have

Volume = 70 m³

Width = 2 m

Height = 7 m

Length = Volume/Width × Height

Length = 70/2 × 7

Length = 70/14

Length = 5 m

[tex] \\ [/tex]

Answer:

A,

Step-by-step explanation:

Opposites sides are equal in a rectangle.

Answer:

The answer is: "It has to be a rectangle.  I measured the diagonals to be sure they were the same length."

Step-by-step explanation:

The other properties are true of a rectangle as well, but they could also be other shapes.

"It has to be a rectangle.  The opposite sides are the same length."

This could also be describing a rhombus or square.

"It has to be a rectangle because it is not a square."

This could also be a rhombus, trapezoid, or even kite.

"It has to be a rectangle.  I made sure that the two 8-foot boards are parallel and that the two 6-foot boards are parallel."

This can describe any parallelogram.  Just because the sides are congruent and parallel does not mean that there are four 90degree angles formed.

"It has to be a rectangle.  I measured the diagonals to be sure they were the same length."

This is a property of rectangle diagonals.  They will always be congruent.

Answer:

A

Step-by-step explanation:

You can look at the graph and infer that the line passes through 32 34 36 and so on

or

you can substitute y for the bill and x for the number of songs to see which graph is correct

y = 30 + 2x

For A, the line goes through 32 34 36 38 40 42 44 46 and 48

You can plug in 32 for y and 1 for x and so on

32 = 30 + 2*1 = 30 + 2

34 = 30 + 2*2 = 30 + 4

36 = 30 + 2*3 = 30 + 6

38 = 30 + 2* = 30 + 8

and so on

Answer:

f(-3) = 6

Step-by-step explanation:

This question asks one to evaluate the function (f) for input (-3). It is known that the x-axis represents the input, while the y-axis represents the output. Therefore, find (-3) on the x-axis, and then see where the graph of the line is when it meets the value (-3), this value will be the output. In this case, the output is (6).

Step-by-step explanation:

(-1,-1) (0,3)

3- -1 / 0 - -1 = 4/1 = 4

slope is 4

Answer:

Its A

Step-by-step explanation:

To determine whether x and y have a proportional relationship, see if the line through these points passes through the origin (0, 0). The points are on a line that passes through the origin. So, x and y have a proportional relationship.

 Hope this helps, and please mark brainliest.

Answer:

550 mins

Step-by-step explanation:

Answer:

Step-by-step explanation: can you zoom that picture in cant see it

Answer:

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

6 × [45 / 9-3]

6×45/6

270/6

45

Answer:

45

Step-by-step explanation:

6 x (16 + 29) / 9 - 3)

16 + 29 = 45

9 - 3 = 6

45/6 = 7.5

6 x 7.5 = 45

Let me know if this helps!

Answer:

The measure of a snart is 2 and that of a snert is 8.

Step-by-step explanation:

Represent the size of a snert by e and that of a snart by a.

Then e - a = 6.  This assumes that e > a.

2e + a = 18.  Substitute e - 6 for a, obtaining:

2e + (e - 6) = 18.

Simplifying, we get

2e + e - 6 = 18, or

3e = 24, and so

e = 8

Remembering that e - a = 6, we have 8 - a = 6.  Then a must be 2.

The measure of a snart is 2 and that of a snert is 8.

Step-by-step explanation:

Hey there!

[tex]\tt{\dfrac{\dfrac{1}{x^2} + \dfrac{2}{y}}{\dfrac{5}{x} - \dfrac{6}{y^2}}}[/tex]

So, what we can do here is first take the Least Common Multiple here, on both Numerator and Denominator.

[tex]\tt{\dfrac{\dfrac{y + 2y^2 (1)}{x^2 y (2)}}{\dfrac{5y^2 - 6x (3) }{xy^2 (4)}}}[/tex]

[The number in brackets is for the next step :-

When we will further simplify it, we will multiply 1st with 4th and 2nd with 3rd.

[tex]\tt{\dfrac{y + 2y^2 \times xy^2 }{x^2 y \times 5y^2 - 6x }}[/tex]

[tex]\tt{\dfrac{y + 2y^2 \times y }{x \times 5y^2 - 6x }}[/tex] is the framed answer.

Answer:

[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]

Step-by-step explanation:

Lets do the numerator and denominator seperately:

Numerator:

1/x^2 + 2/y

Find common denominator and add these 2 fractions:

This is x^2y (I just multiplied the 2 denominators together’

Now, do what you have done to x^2 to make it x^2y, ie. multiplied by y, to the 1. This = y

And do what you have done to y to make it x^2y, ie. multiplied by x^2, to the 2. This = [tex]2^{2}[/tex]

Now, arrange all numbers we have found into the correct order in the fraction. This is:

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex]

Denominator:

5/x - 6/y^2

Find the common denominator  and subtract these two fractions:

This is xy^2

Now, do what you have done to x to make it xy^2, ie. multiply by y^2, to the 5. This = 5y^2

And do what you have done to the y^2 to make it xy^2, ie. multiply by x, to the 6, this is = 6x

Now, arrange all the numbers we have found into the correct order in the fraction

[tex]\frac{5y^{2}-6x}{xy^2}[/tex]

Now that we have the numerator and the denominator, we can solve the equation.

The original question asks us to divide the 2 fractions, so:

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex]  divided by [tex]\frac{5y^{2}-6x}{xy^2}[/tex]

For the division of fractions, you just have to multiply the inverse of the 2nd fraction by the first, so

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex] x [tex]\frac{xy^2}{5y^2-6x}[/tex]

Use cross multiplication to simplify the above expression to:

[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]

Hope this helps, sorry its long ...

Answer:

18cm duh

Step-by-step explanation:

Answer:

I think too that many different will be there in case such things ..