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weqwewe [10]
3 years ago
6

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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What do the 5 -groups mean ?
jolli1 [7]
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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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  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.

5 0
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?

140*2 divided by 2

8 0
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