1 Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)​

Answer:

The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!

Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.

Hope it was clear explanation.

Answer:

20

Step-by-step explanation:

you just divid the number of points earned (14), by the percent earned (70). This gives you the total becuase you would divid 14 by the total to get 70.

Answer:

35,836

Step-by-step explanation:

I had this question before and I believe this is correct.

Answer:

the population 35,836 in 10 years.

Step-by-step explanation:

The numbers representing the population in consecutive years create a geometrical sequence with:

a1 = 22,000

and

q = 1 + 0.5 = 1.05

We are asked to find the population after

10 years. This number is the eleventh term in the sequence, so we are looking for:

a11 = a1 ⋅ q^10 = 22, 000 ⋅ (1.05)^10

After substitution of given data we have:

a11 ≈ 35, 836

*Answer:* "After 10 years the population will be 35, 836."

Answer:

680 girls and 850 boys

Step-by-step explanation:

the ratio of girls is 4/9

then we can find the number of girls (G) in the group of 1530 students using proportions:

4 / 9 = G / 1530

solving for G by multiplying both sides of the proportion by 1530, we get:

G = 4 * 1530 / 9 = 680

So there were:

680 girls and 1530 - 680 = 850 boys

Answer:

the answer will be

girls 680

boys 850

Answer:

x - 4 _< 6

Step-by-step explanation:

Answer:

7/15 (B)

Step-by-step explanation:

7 fourth graders out of 15 total = 7/15

Answer:

There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins

Step-by-step explanation:

The total amount of coins is given by x.

Ratio 3:5:7

[tex]\frac{3}{3+5+7} = \frac{3}{15}[/tex] are worth $1.

[tex]\frac{5}{3+5+7} = \frac{5}{15}[/tex] are worth 50 cents = $0.5.

[tex]\frac{7}{3+5+7} = \frac{7}{15}[/tex] are worth 25 cents = $0.25.

The total amount of money is $1856.

This means that:

[tex]\frac{3x}{15} + 0.5\frac{5x}{15} + 0.25\frac{7x}{15} = 1856{/tex]

Multiplying everything by 15

[tex]3x + 2.5x + 1.75x = 27840[/tex]

[tex]7.25x = 27840[/tex]

[tex]x = \frac{27840}{7.25}[/tex]

[tex]x = 3840[/tex]

Amount of coins of 1 dollar:

[tex]\frac{3*3840}{15} = \frac{3840}{5} = 768[/tex]

Amount of 50 cent coins:

[tex]\frac{5*3840}{15} = \frac{3840}{3} = 1280[/tex]

Amount of 25 cent coins:

[tex]\frac{7*3840}{15} = 1792[/tex]

There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins

Answer:

Utiliza una cifra que pueda ser resultado de dividir 100:5 y eso a su vez nos dará el valor que debe aumentar en la escala

Answer:

5220

Step-by-step explanation:

A=580, A=LW, W=L-9

580=L(L-9)

L^2-9L-580=0

(L-29)(L+20)=0, L>0 so L=29, W=29-9=20

Answer:

I believe the answer would be [tex]\sqrt{6}+\sqrt{2}[/tex] or 3.8637

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

No picture so I can’t answer the question

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

sides of triangle measure: 'x', '4x-2' and '4x-2' since isosceles means both legs are equal

perimeter is the sum of all sides, so set up equation:

95 = 4x - 2 + 4x - 2 + x

95 = 8x - 4 + x

95 = 9x - 4

99 = 9x

x = 11

Answer:

14,245

Step-by-step explanation:

First you find 4.6% of 18,500 which is 851. Then you multiply 851 by the years, which is 5, and you get 4255. Lastly just subtract 4255 from 18500.

Answer: C. 254

Step-by-step explanation: All engineers is the population so this is stats and the number that chose math no matter what kind of engineer is 254

Answer:

Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.

Step-by-step explanation:

Answer:

8 is 10trillion and 7 is 1 million hope this helps!

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

f(x) = (1/10)x²

Step-by-step explanation:

This is the answer that  I think it is but I am not sure if it is right...

Hope this helps!

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

[tex]6x + 3y = 12[/tex]

[tex]4x + y = 14[/tex]

Required

Tell whether (5,-6) is a solution

In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

[tex]6x + 3y = 12[/tex] becomes

[tex]6 * 5 + 3 * -6 = 12[/tex]

[tex]30-18 = 12[/tex]

[tex]12 = 12[/tex]

[tex]4x + y = 14[/tex] becomes

[tex]4 * 5 - 6 = 14[/tex]

[tex]20 - 6 = 14[/tex]

[tex]14 = 14[/tex]

Because both solutions are true, then (5,-6) is a solution

Answer:

-1.6 < √2 - 3 < -1.5

Step-by-step explanation:

√2  - 3 = -1.58

-1.5 is closer to 0 so it is larger than -1.5 and -1.6 is father from 0 than -1.58 and -1.5 so its less than

Answer:

B

Step-by-step explanation:

C its C hopes this helps

Answer:

undefined

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a parabola. Because of that, the extreme exists at either the highest point on the graph or at the lowest point on the graph (which is also known as the vertex). This is a positive parabola, so the vertex is a minimum. The coordinates of the vertex are (4, -2.5). The 4 is the x value; therefore, the value of x where the polynomial has an extreme (or extrema) is at x = 4

Answer:

6

Step-by-step explanation:

180 / 4 = 45

45mi = 1hr

270 / 6 = 45

Answer:

A: (-4,1) QUAD 2

B: (-1, -3) QUAD 3

C: (2,5) QUAD 1

D: (5, -4) QUAD 4

Step-by-step explanation:

Answer:

29.1

Step-by-step explanation:

Use logic.

Jk. Tan(x) = 5/9 so x = tan^-1(5/9)

Use a graphing calculator in degrees mode.

The measure of the smallest angle of the triangle would be equal to 29.1

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that the legs of a right triangle measure 5 inches and 9 inches.

We need to find the measure of the smallest angle of the triangle

Tan(x) = 5/9

Therefore, we have;

x = tan^-1(5/9)

x = 29.1

Learn more about trigonometric;

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Answer:

ayooo i'll take it

Step-by-step explanation:

thanks

Answer:

Ooh a couple more for 100 points!!

Step-by-step explanation:

Answer:

reflection

Step-by-step explanation:

Answer:

Reflection

Step-by-step explanation:

As you can see, its the same shape, and the same size...but it looked mirrored. ABC has been reflected over the y-axis to make DEF.

It's not rotation, because the shape has not been rotated, if so it would have been in a different position

It's not translation, because the shape didn't stay in the same format (facing one side).

So it must be reflection

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

[tex]t = \frac{1}{4}\sqrt d[/tex]

Time to reach 100ft is 2.5 seconds

Step-by-step explanation:

Given

[tex]d = 16t^2[/tex]

Solving (a): Determine the inverse function

[tex]d = 16t^2[/tex]

Swap the positions of d and t

[tex]t = 16d^2[/tex]

Make d the subject

[tex]\frac{t}{16} = d^2[/tex]

Take positive square root of both sides

[tex]\sqrt{\frac{t}{16}} = d[/tex]

[tex]d = \sqrt{\frac{t}{16}}[/tex]

[tex]d = \frac{1}{4}\sqrt t[/tex]

Swap the positions of d and t

[tex]t = \frac{1}{4}\sqrt d[/tex] --- The inverse function

Solving (b): Find t when d =100

Substitute 100 for d in [tex]t = \frac{1}{4}\sqrt d[/tex]

[tex]t = \frac{1}{4}\sqrt {100[/tex]

[tex]t = \frac{1}{4}* 10[/tex]

[tex]t = \frac{1* 10}{4}[/tex]

[tex]t = \frac{10}{4}[/tex]

[tex]t = 2.5[/tex]