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xz_007 [3.2K]
3 years ago
13

I need this solve really fast. Which sequences are geometric? Select three options.

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0

Answer:

I guess this is the answer

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Grace sold 5/8 of her stamp collection what is this amount as a decimal
fenix001 [56]
0.625
divide 5 by 8 is 0.625 rounded would be 0.63
6 0
3 years ago
Read 2 more answers
Solve the compound inequality and graph<br> Please help! :)
frozen [14]

Answer:

Step-by-step explanation:

x+4≥10 and x-6>-15

x≥10-4 and x>-15+6

x≥ 6 and x>-9

combining the two

x>-9

8 0
3 years ago
Y varies directly with x. When y is 105, x is 7. What is k
marta [7]

Answer:

Given:

y

varies inversely with

x

.

So, we can write it as:

y

∝

1

x

6 0
3 years ago
Aurora hit a baseball with an initial velocity of 70 feet per second at an angle of 30° with the horizontal. The ball hit her ba
snow_tiger [21]

Answer:

See below

Step-by-step explanation:

Y component of velocity is 70 sin 30°

y position =   3  + 70 sin 30°  * t    - 1/2 a t^2

 when the ball hits the ground  y = 0

       0 = 3 + 70 sin 30°  t  - 1/2 (32.2)t^2

           - 16.1 t^2 + 35t + 3 = 0  

                    Use Quadratic Formula to find t = <u>2.26 seconds</u>

Horizontal component of initial velocity

 70 cos 30°             distance horizontal = 70 cos 30°  * t

                                   = 70 cos 30°  (2.26) =<u> 137.0 ft</u>

                     

4 0
2 years ago
Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will
Natali [406]

9514 1404 393

Answer:

  14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

  A = P·e^(rt) . . . . . continuous compounding at rate r for t years

  A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

  1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

  ((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

 ( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

  t×ln(1.00000671149321522) = ln(1.1)

  t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

  t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

<em>Additional comment</em>

The investment value at that time will be about $5.269·10^434. (That's a larger number than <em>anything</em> countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

4 0
3 years ago
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