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2 years ago

A girl had 20 coins in nickels and dimes whose sum was $1.40. She spent 65cents , using 8 coins. She now has ? nickels.

Mathematics

2 answers:

abruzzese [7]2 years ago

6 0

Answer:

$0.75 nickels

Step-by-step explanation:

$1.40-$0.65=$0.75

$0.75 nickels

Marina CMI [18]2 years ago

3 0

Answer:

9 Nickles

Step-by-step explanation:

Let n = number of nickles and d = number of dimes

d + n = 20 -----------(1) [ total number of coins 20 ]

Dimes = $0.10

Nickles = $0.05

0.1d + 0.05n = $1.40 ---------- (2) [20 coins worth $1.40]

Since d + n = 20

∴ n = 20 - d

Let's substitute n in equation (2)

0.1d + 0.05(20-d) = 1.40

0.1d + 1 - 0.05d = 1.40

0.1d + 0.05d = 1.40 - 1

0.05d = 0.4

d = $\frac{0.4}{0.05}$

d = 8

Now put value of d in equation (1)

n + 8 = 20

n = 20 - 8

n = 12

Let's check 8(0.1) + 12(0.05) = $1.40

Now she spent 65 cents using 8 coins.

The only combination of 8 coins worth $0.65 is

5d + 3n = $0.65

Hence, she used 5 dimes and 3 nickles.

Now she has 12 - 3 = 9 Nickles

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OverLord2011 [107]

Answer:

Volume = 16 unit^3

Step-by-step explanation:

Given:

- Solid lies between planes x = 0 and x = 4.

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Find:

Determine the Volume bounded.

Solution:

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A(x) = 0.5*(sqrt(x) + sqrt(x) )^2

A(x) = 0.5*(4x) = 2x

- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:

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1 year ago

Michelle receives 32K per year as an assistant fast food manager. Her benefits include health insurance, paid holidays, retireme

ryzh [129]

Answer:

The annual salary of Michelle including benefits = $48, 440

Step-by-step explanation:

<em>Since, you have not specified the table to show the value of each benefit.</em>

<em>So, I am assuming this table as the reference table to show the value of each benefit.</em>

<h3 /><h3><u>Benefits Value Table:</u></h3>

<h2> Benefit Value</h2>

Health Insurance $7,550

Paid Holidays $660

Retirement Contributions $4,500

Paid Vacation $1,230

Uniform Supplied $2,500

Here are the benefits details from the table:

Michelle receiving per year without benefits = $32000

Health Insurance as benefit = $7,550

Paid Holidays as benefit = $660

Retirement Contributions as benefit = $4,500

Paid Vacation as benefit = $1,230

Uniform Supplied as benefit = $2,500

So, the amount she gets from benefits = $7,550 + $660 + $4,500 + $1,230 + $2,500 = $16,440

So, the annual salary, including benefits could be calculated as:

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The amount Michelle gets from benefits = $16,440

Michelle have annual salary including benefits = $32000 + $16,440

= $48, 440

Hence, the annual salary of Michelle including benefits = $48, 440

Keywords: calculation, salary, benefits, saving

Learn more about salary calculation from brainly.com/question/5715627

#learnwithBrainly

8 0

1 year ago

x^2+1/2x+1/16=4/9 Factor the perfect-square trinomial on the left side of the equation. (x + )² = 4/9

Nezavi [6.7K]

The missing number is the square-root of the constant term on the left-hand-side, which equals sqrt(1/16)=1/sqrt(16)=1/4.
Check:
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5 0

1 year ago

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6. Problems and Applications Q6 Consider an economy that produces only chocolate bars. In year 1, the quantity produced is 3 bar

natulia [17]

Answer:

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Year 2 GDP Deflator is 30%

Year 3 GDP Deflator is 14.29%

Inflation Rate between year 2 and year 3 is 50%

The Real GDP growth Rate for Year 2 and year 3 is 110%

Step-by-step explanation:

Year 1

Price of chocolate bar is $2 and 3 bars are sold that year so the real GDP is 3 x $2=$6 which we are also given that this year is the nominal base year so the nominal GDP is also $6. GDP is the sum of all market value produced products in an economy. Therefore that’s why we calculated as the price of a chocolate multiplied the number produced. To calculate the GDP Deflator will be as follows:

GDP Deflator= (nominal GDP/Real GDP) x 100

= ($6/$6) x 100

= 100%

Year 2

Price of chocolate bars is $4 per bar and 5 bars were produced therefore Real GDP =$4 x 5 = $20, now we will calculate the GDP deflator as we have been told that year is the nominal year therefore nominal GDP is $6.

GDP Deflator= (nominal GDP/Real GDP) x 100

= ($6/$20) x100

= 30%

Year 3

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GDP Deflator = (nominal GDP/ Real GDP) x 100

= ($6/$42)

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Now we compute the real GDP growth rate between year 2 and year 3

Real GDP growth rate = [ (current Real GDP- Previous Real GDP)/Previous Real GDP] x 100

= ($42-$20)/$20

= 110% so real GDP grew by 110% from year 2 to year 3.

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2 years ago

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Grace [21]

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1 year ago

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