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2 years ago

Steven saves $0.30 each week.

Mathematics

1 answer:

barxatty [35]2 years ago

8 0

after 4 weeks:

.3*4= 1.2 saved

then it is doubled

1.2*2 = 2.40

8 weeks

he will have saved for 4 more weeks ( week 5 6 7 8)

4 * .3 = 1.2 saved

2.4 + 1.2 = 3.6 saved

then it is doubled

3.6 * 2 =7.20

he will have saved for 4 more weeks ( week 9, 10, 11, 12)

4 * .3 = 1.2 saved

7.2+ 1.20=8.40

then it is doubled

8.4*2 = 16.8

He will have 16.80 after 12 weeks

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Use a half-angle identity to find the exact value of sinPi/8

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Answer:

sin(π/8) = (1/2)√(2-√2)

Step-by-step explanation:

Using the half-angle formula ...

$\sin{\dfrac{\theta}{2}}=\sqrt{\dfrac{1-\cos{\theta}}{2}}$

We can let θ = π/4 and simplify the result as follows:

$\sin{\dfrac{\pi}{8}}=\sqrt{\dfrac{1-\cos{(\pi/4)}}{2}}=\sqrt{\dfrac{1-\dfrac{\sqrt{2}}{2}}{2}}=\sqrt{\dfrac{2-\sqrt{2}}{4}}\\\\=\boxed{\dfrac{1}{2}\sqrt{2-\sqrt{2}}}}$

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3 years ago

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Without computing, determine which number is greater, [(-4)^4]^5 or -[(4^12)^3 Explain your reasoning.

Strike441 [17]

Answer:

I think [(-4)^4]^5, but I'm not completely sure

Step-by-step explanation:

1.0995116e+12 greater than -4.7223665e+21

[(-4)^4]^5=1.0995116e+12

-[(4^12)^3=-4.7223665e+21

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3 years ago

What whole numbers does the square root of 39 lie between

Oksi-84 [34.3K]

The square root of 39 is 6.245. It lies between the whole numbers 7and 8!

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3 years ago

A parabola has its vertex at (-6, 5) and focus at (-6.25, 5). Which of the following is an equation for this parabola?

Pavlova-9 [17]

Answer:

Step-by-step explanation:

vertex and focus are horizontally aligned, so parabola is horizontal.

focal length p = distance between focus and vertex = 0.25

focus lies to the left of vertex, so the parabola opens to the left.

x = a(y-k)² + h,

vertex (h,k)

a = -1/(4p)

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h = -6

k = 5

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2 years ago

Chicos estoy en un aprieto ayudarme pls Sabiendo que una falda es 5 € más cara que una blusa y que si compro 6 faldas y 4 blusas

poizon [28]

Answer:

El precio de la falda es 50 €.

Step-by-step explanation:

Lo que sabemos:

$F = 5 + B$ (1)

En donde F es por falda y B por blusa.

Si compras 6 faldas y 4 blusas y pagas 480 €:

$6F + 4B = 480$ (2)

Entonces, al introducir la ecuación (1) en (2) podemos hallar el precio de cada falda.

$6F + 4B = 480$

$6(5 + B) + 4B = 480$

$10B = 480 - 30$

$B = \frac{450}{10} = 45$

Finalmente, el precio de la falda se puede encontar con la ecuación (1):

$F = 5 + 45 = 50$

Por lo tanto, el precio de la falda es 50 €.

Espero que te sea de utilidad!

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2 years ago