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Debora [2.8K]
3 years ago
13

The sum of a number and its reciprocal is 61 30 . Find the numbers.

Mathematics
1 answer:
Maksim231197 [3]3 years ago
7 0
Let's say the number is hmmm "a", its reciprocal would then be 1/a
thus \bf a+\cfrac{1}{a}=\cfrac{61}{30}

solve for "a"
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How much money should be deposited today in an account that earns 8% compounded monthly so that it will accumulate to 13,000 tho
gladu [14]

Answer:

  $10,234.31

Step-by-step explanation:

A suitable financial calculator or spreadsheet can evaluate the future value function for you. It will tell you that $10,234.31 must be deposited today to have $13,000 in three years, when interest is 8% compounded monthly.

__

You are solving for P:

  13000 = P(1 +0.08/12)^(12×3)

  P = 13000/(1 +0.08/12)^36 ≈ 10,234.31

8 0
2 years ago
A box contains 4 black shirts, 8 blue shirts, 4 black pants, and 10 blue pants. Determine the probability of randomly selecting
Rashid [163]
<h3>Answer:  11/13</h3>

============================================================

Explanation:

Add up the four numbers given: 4+8+4+10 = 26 items total

Kick out the 4 black shirts since they are neither blue, nor are they pants.

So we have 26-4 = 22 items that are blue or a pair of pants (or both).

Divide that over the total (26) to get the probability we're after:

22/26 = (11*2)/(13*2) = 11/13

Side note: 11/13 = 0.8462 = 84.62% approximately

7 0
2 years ago
Find the first four terms of the sequence using the recursive formula. ​
frozen [14]

Answer:

- 3, - 11, - 35, - 107

Step-by-step explanation:

Using the recursive formula with f(1) = - 3 , then

f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11

f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35

f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107

Thus the first four terms are

- 3, - 11, - 35, - 107

3 0
3 years ago
Polly has a very rain number of dollar bills in her purse and no change.She spends half the money on a scarf and gives $1dollar
miss Akunina [59]

Answer:$26

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3 0
3 years ago
A Chef buys 9 cucumbers, 18 peppers and 21 tomatos at the farmers market. Cucumbers ae 6 for $2, pEPPERS ARE 12 for $9 and tomat
Musya8 [376]
In this question, you are given 3 separate vegetables without single price. If you want to solve it step by step, it will be easier to count each vegetable price before hand. The price would be:
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Then the total cost for the chef shopping item would be: 9 * $0.33 + 18 * $0.75 + 21* $0.66= $3 + $13.5+ $14= $30.5
6 0
3 years ago
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