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Nimfa-mama [501]
3 years ago
14

What is the percent of increase from 40 to 90?

Mathematics
1 answer:
QveST [7]3 years ago
6 0
<span>Percent change = [(40 - 90) / 40] x 100 = 125 % (increase) </span>125% increase
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Angelina wins money in a competition. She is given the choice as to how she is paid.
NISA [10]

Answer:

  • Choice 1
  • 20 days

Step-by-step explanation:

You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.

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<h3>a)</h3>

Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.

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<h3>c)</h3>

For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...

  Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r

We want to find n such that ...

  Sn ≥ 1,000,000

  1 × (2^n -1)/(2 -1) ≥ 1,000,000

  2^n ≥ 1,000,001 . . . . add 1

  n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm

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The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.

8 0
2 years ago
If you can buy 5 bags of bananas for $28.15, find the unit price of a bag<br> of bananas.
Bond [772]

Answer:

$5.63

Step-by-step explanation:

Each bag of bananas is $5.63.

If you divide $28.15 by 5 you get $5.63.

7 0
3 years ago
? ( Ellen has 2 quarters 1 dime and 1 nickel how many different amounts of money can you make using 1 ore more of these clubs )
ohaa [14]

the answer to this is nine



7 0
3 years ago
What are the Factors of 2,3,4,5
Dominik [7]

Answer:for 5

Step-by-step explanation:1,5

7 0
3 years ago
Can someone please tell me how to do this?
ziro4ka [17]

The vertical angles are congruent (or equal) so,

32 = 2x

2x = 32

2x/2 = 32/2 ..... dividing both sides by 2

x = 16 which is the answer

3 0
3 years ago
Read 2 more answers
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