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Ksenya-84 [330]
2 years ago
7

Ms. Lynch has 21 coins in nickels and dimes.

Mathematics
1 answer:
bulgar [2K]2 years ago
4 0

Answer:

Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns    x +   y =   21  5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105  5x + 10y =  165 Now we combine (add) the equations, which eliminates x altogether.  5y = 60   ...   y = 12 From there, x + 12 = 21  ...  x = 21-12  ...  x = 9 You should double check.  Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.

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Lydia has half of her investments in stock paying an 11% dividend and the other half in a stock paying 14% interest. If her tota
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Based on the calculations, the amount of money she invested is equal to $3,520.

<h3>How to determine the amount invested?</h3>

First of all, we would assign variables to the amount of money that he invested at different interest rates as follows:

  • Let x be the amount of money she invested at 11%.
  • Let y be the amount of money she invested at 14%.

Since Lydia invested the same amount of money in both stocks, we have:

x = y     ....equation 1.

At the two interest rates, the total amount Lydia gets is given by:

0.11x + 0.14y = 440     ....equation 2.

Solving the equations simultaneously, we have:

0.11y + 0.14y = 440

0.25y = 440

y = 440/0.25

y = $1,760.

Thus, the total investment is given by:

Total investment = 1760 + 1760

Total investment = $3,520.

Read more on interest rates here: brainly.com/question/16793428

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1 year ago
What is the value of 4P4 in permutation?
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Answer. 冠廷 李. 4P4=4!
8 0
3 years ago
Two people play a game. The first person starts with the number 1 and can multiply 1 by any number from 2-9. Then, the second pe
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Answer: player number one

Step-by-step explanation:

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AB ← → is tangent to circle O at point A. If m∠AOB = 55°, what is m∠ABO ?
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3 years ago
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Richard was earning $10/hr working for Diane’s landscaping company. Diane said that productivity was decreasing, so everyone had
pentagon [3]

Answer:

Richard is  making $9.6 per hour now

Step-by-step explanation:

Given:

Initial amount Richard was earning =  $10/hr

Due to lass in productivity 20% pay was cut

Amount Richard was earning after 20% pay cut =  $8/hour.

After few again due to increase in productivity Diane gave a 20% raise.

To Find:

How much is Richard making now = ?

Solution:

Let the amount that Richard is making now be x

Then

x =  8+  20% of 8

x = 8 + \frac{20}{100} \times 8

x = 8 + 0.2 \times 8

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