Joley is opening her first checking account as a teenager. She doesn't have a job, so most of the income will be presents from birthdays and holidays. Bank A has a $8 monthly charge. Bank B charges 2% of the balance. Which account balance below will result in bank B being a better financial choice?

Answer:

420 minutes

Step-by-step explanation:

You would have to multiply 7 hours by 60 minutes to get 420 minutes.

Hope this helped you out!!

Answer:

a) 5.2 cm

b) 296.38 cm²

Step-by-step explanation:

a) Encontrar la apotema

La fórmula se da como:

A = s / 2 bronceado (180 / n)

s = Largo del lado = 6cm

n = Número de lados = 6 porque el polígono es un hexágono

Por eso,

Apotema = 6/2 × bronceado (180/6)

= 6/2 × tan 30

= 5.1961524227cm

Aproximadamente = 5.2 cm

Apotema = altura de las caras triangulares = 5.2cm

b) Superficie total

Área de superficie de una pirámide hexagonal = 3√3 / 2b² + 3b√h² + 3b² / 4

b es la longitud de la base. = 6cm

s es la altura inclinada. = 10cm

3√3 / 2 × 6² + 3 × 6√10² + 3 × 6² / 4

A = 296.38 cm²

Answer:

20+20+24+24=88

88/2=44

88+44=132

Step-by-step explanation:

If you split it so there is a rectangle and a triangle, you find the perimeter of the rectangle then divide it in half.

Answer:

B

Step-by-step explanation:

4x12=48/2x2=B or 48

Answer:

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this is the answer.

Answer:

2,6323

Step-by-step explanation:

Answer:

No of hits = 26

Step-by-step explanation:

Given that,

Batting average = 0.4727272

His player has 55 at bats.

We need to find the number of hits. Let the number of hits be x. Using formula for average as :

[tex]\dfrac{x}{55}=0.4727272\\\\x=0.4727272\times 55\\\\x=25.99\\\\or\\\\x=26[/tex]

So, there are 26 number of hits.

Answer:

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10}[/tex]

Required

Solve

Express [tex]x^2-4[/tex] as difference of two squares

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]

Factorize [tex]x^4 - 2x^3[/tex]

[tex]\frac{x-5}{x^3(x-2)}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]

Cancel out x - 2

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2-3x-10}[/tex]

Expand [tex]x^2 - 3x - 10[/tex]

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2+2x-5x-10}[/tex]

Factorize:

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x(x+2)-5(x+2)}[/tex]

Factor out x + 2

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{(x-5)(x+2)}[/tex]

Cancel out x - 5 and x + 2

[tex]\frac{1}{x^3}\cdot \frac{1}{1}[/tex]

[tex]\frac{1}{x^3}\cdot 1[/tex]

[tex]\frac{1}{x^3}[/tex]

Hence:

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]

Answer:

D

Step-by-step explanation:

when dealing with percentages move the decimal back two to get its absolute value

Answer:

a ≤ −4 or a ≥ 8

Step-by-step explanation:

Hope This Helps!

Answer

[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]

Step by Step Explanation

Given

See attachment for table

Required

Determine the sinusoidal function

The sinusoidal function is represented as:

[tex]y = A \sin(Bx + C) + D[/tex]

Where

[tex]|A| = Amplitude[/tex]

And it is calculated as:

[tex]A = \frac{1}{2}[Highest - Least][/tex]

From the table:

Highest = 77 and Least = 21

So:

[tex]A = \frac{1}{2}[77 - 21][/tex]

[tex]A = \frac{1}{2}[56][/tex]

[tex]A = 28[/tex]

B is calculated as:

[tex]Period = \frac{2\pi}{B}[/tex]

The period is 12 i.e. 12 months

So:

[tex]\frac{2\pi}{B} = 12[/tex]

[tex]B = \frac{2\pi}{12}[/tex]

[tex]B = \frac{\pi}{6}[/tex]

C is calculated as:

[tex]\frac{C}{B} = -4[/tex]

[tex]C = -4 * B[/tex]

[tex]C = -4 * \frac{\pi}{6}[/tex]

[tex]C = -2 * \frac{\pi}{3}[/tex]

[tex]C = -\frac{2\pi}{3}[/tex]

Lastly, D is calculated as:

[tex]D = Least + A[/tex]

So:

[tex]D =21 + 28[/tex]

[tex]D=49[/tex]

So, the function is:

[tex]y = A \sin(Bx + C) + D[/tex]

[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]

Answer:

y=28 sin (pi/6 t - 7pi/6)+49

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

10x + 2y > 3

Substitute the point into the inequality

10(4)+2(3) > 3

40+6>3

46>3

This is a true statement so the point is a solution

Answer:

80

Step-by-step explanation:

14 × 20 = 280

1400 - 280 = 1120

1120 ÷ 14 = 80

Answer:

Here is the answer

Step-by-step explanation:

On paper

Answer:

n < 2 or n > 9

Step-by-step explanation:

2n + 6(n - 1) < 10 or 3n - 2(n - 3) > 15

2n + 6n - 6 < 10 or 3n - 2n + 6 > 15

8n - 6 < 10 or n + 6 > 15

8n < 16 or n > 9

n < 2 or n > 9

Answer:

(x - 8)^2 + (y + 6)^2 = 4.

Step-by-step explanation:

The general equation is:

(x - a)^2 + (y - b)^2 = r^2.

Plugging in the given values:

(x - 8)^2 + (y - (-6))^2 = 2^2

(x - 8)^2 + (y + 6)^2 = 4.

Complete question :

The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°How far is the point from the base of the tower.

Answer:

4.04 meters

Step-by-step explanation:

To obtain the distance between baso of tower and point P on the ground as shown in the solution diagram :

Using trigonometry :

Tan θ = Opposite / Adjacent

Tan 22° = x / 10

0.4040262 = x / 10

0.4040262 * 10 = x

x = 4.04

Hence, distance between base of tower and point P on the ground is 4.04 meters

Answer:

6x^2*(x+4)

Step-by-step explanation:

hope this helps! :)

Time A:

Para obter a média temos que somar todos os pontos e dividir pela quantidade de pontos, ou seja, 20 + 17+ 25+ 25+ 13+

25+ 12+ 25+25 +23= 210/10= 21

A média do time A é 21 pontos.

Time B:

O mesmo procedimento,

25+ 25+ 9+ 10+ 25+

11+25+ 15+10 + 25= 180/10= 18

A média do time B é 18 pontos.

Answer:

15

Step-by-step explanation:

its 90 degrees so the other side will be the same

Answer:

b=20

Step-by-step explanation:

a^2 + b^2 = c^2

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 625-225

b^2 = 400

b = 20

Answer:

Step-by-step explanation:

Its a geometric sequence: aₙ = a₁ rⁿ⁻¹

f(x) = aₙ

a₁ = a₂÷r = 12÷2 = 6

r = 2

x = n

Therefore:

               [tex]f(x) = 6(2)^{x-1}[/tex]

Answer:

a^7 b^3

Step-by-step explanation:

The question can be interpreted as

[(a^9)( b ^10)] / [(a^2 )×( b ^7)]

Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have

a^(9-2) × b^(10-7)

We can simplify by performing substraction on the power

= a^7 b^3

Answer:

23,500

Step-by-step explanation:

Answer:

-6a +9b

Step-by-step explanation:

First distribute 3 to terms inside parenthesis

-6a + 9b

Final answer  -6a +9b

Answer:

(If you need the actual explanations for each one, just ask in comments)

Step-by-step explanation:

1: D

2: G

3: A (60/100 = 6/10 = 3/5)

4: H (Min = 18, Q1 = 19, Median = 23, Q3 = 24, Max = 26)

5: C (2:6 = 1:3; 3:9 = 1:3)

6: J (2:15 = 10:75; multiply each side by 5)

7: A (A & B: 6*2/3 = 4, 4 < 6, 4 not > 6. C: 6*3/2 = 9, 9 not < 6. D: 6*3/3 = 6 not > 6).

They bought 3 tickets! Hope this helps :) ✨