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3 years ago

Explicit formula for the sequence 7,2,-3,-8

Mathematics

1 answer:

GaryK [48]3 years ago

5 0

Answer:

Step-by-step explanation:

The common difference of the sequence is -5

Since the difference is -5

a_n= 7+(n-1)(-5)

a_n = 7-5n+5

a_n = 12-5n

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Two supplementary angles. One angle is 35 more than the second angle, find the measure of the second angle. The measure of the s

OverLord2011 [107]

Answer: 72.5 degrees

Step-by-step explanation: Call smaller angle x, so larger angle is x+35, so 2x+35=180, subtract 35 from both sides, 2x=145, so x=72.5! I hope this helps you

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3 years ago

What do the 5 -groups mean ?

jolli1 [7]

5, 10, 15, 20. i think that's what it means.get a second opinion.

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3 years ago

three cones have a volume of 192π cm³.Cone A has a radius of 2 cm. Cone B has a radius of 3 cm. Cone C has a radius of 4 cm. fin

andrew11 [14]

9514 1404 393

Answer:

A: 144 cm

B: 64 cm

C: 36 cm

Step-by-step explanation:

The volume of a cone is given by ...

V = (1/3)πr²h

Solving for h, we get ...

3V/(πr²) = h

Filling in the given values, we get ...

3(192π)/(πr²) = h

576/r² = h

Then the heights of the different cones are ...

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B: r = 3, h = 576/9 = 64 . . . cm

C: r = 4, h = 576/16 = 36 . . . cm

8 0

3 years ago

Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the n

-Dominant- [34]

Invested amount (P) = $300.

Time in years (t) = 2 years.

Balance after 2 years (A) = $329.49.

Let us assume rate of interest = r % compounds annually.

We know, formula for compound interest

$A=P(1+r)^t$

Plugging values in formula, we get

$329.49=300(1+r)^2$

$\mathrm{Divide\:both\:sides\:by\:}300$

$\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}$

$\left(1+r\right)^2=1.0983$

Taking square root on both sides, we get

$1+r=\sqrt{1.0983}$

$\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}$

$1+r-1=\sqrt{1.0983}-1$

$r=\sqrt{1.0983}-1$

$r=1.048-1$

r=0.048.

Converting it into percentage by multiplying by 100.

r=0.048 × 100

r = 4.8 %

Therefore, the rate of interest on the account is 4.8% compounds annually.

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3 years ago

a small ice cream carton with a diameter of 2 inches has 140 calories. a similar carton containg the same type of ice cream. has

AleksAgata [21]

420 calories

If 2 inches equal 140 calories, what does 6 equal to?

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3 years ago