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Sedaia [141]
2 years ago
6

Later, Alexis is looking at a different set of coins: this time only dimes and nickels. She has twice as many nickels as dimes,

and the total value of the coins is $3.20. How many of each coin does she have now?
Mathematics
1 answer:
musickatia [10]2 years ago
5 0

9514 1404 393

Answer:

  • 16 dimes
  • 32 nickels

Step-by-step explanation:

Consider a group of 1 dime and 2 nickels. The value of it is 0.20. The total value of all such groups is 3.20, so there must be ...

  3.20/0.20 = 16 . . . . . groups of coins

That is, there are 16 dimes and 32 nickels.

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Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that
AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let <em>x</em> is the money deposit in the bank and <em>y</em> is the money deposit in stock fund.

Therefore,

<em>x</em> + <em>y</em> = 27000

<em>x</em>  = 27000 - <em>y</em>

The bank account will pay 2.4% annual interest.

\frac{2.4}{100}x+x=1.024x

Stock fund pays 7.2% annual interest.

\frac{7.2}{100}y+y=1.072y

Therefore,

1.024 <em>x</em> + 1.072 <em>y</em> = 1.06 × 27000

Substitute the <em>x</em>  = 27000 - <em>y</em> in above equation.

1.024 (27000 − <em>y</em>) + 1.072 <em>y</em> = 1.06 × 27000

27648 − 1.024 <em>y</em> + 1.072 <em>y</em> = 28620

0.048 <em>y</em> = 28620-27648

0.048 <em>y</em> = 972

<em>y</em> = 20250

Now, substitute the <em>y</em> = 20250 in <em>x</em>  = 27000 - <em>y</em>.

<em>x</em> = 27000 − 20250

<em>x</em> = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0
3 years ago
Find two consecutive odd integers whose sum is 84.
lesya [120]
41 and 43 I hope this helps
6 0
3 years ago
Anne is planting a garden she is putting up a fence. The fence is 12.4 metres long and
Dmitrij [34]
To find the perimeter you do length + width so you do 12.4 + 5.9 to get the perimeter.
5 0
3 years ago
Read 2 more answers
10 POINTS!! Still Broke!!
egoroff_w [7]

ten units right and 3 units down

about 10.44 unit diagonal

4 0
3 years ago
Suppose you were starting in the office cleaning service. We have spent $315 on equipment. To clean an office, you use four doll
zzz [600]

Answer:

Number of offices to be cleaned to cover the cost of equipment =15

Cost of equipment =$.315 Cost of supplies =$.4 Charge per office =$.25

Number of offices to be cleaned to cover the cost of equipment =x

Then -25x − 4x =315

21x =315

x=315

21=15

Number of offices to be cleaned to cover the cost of equipment =15

4 0
3 years ago
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