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alekssr [168]
2 years ago
11

Mikhail has a savings portfolio containing $12,000, of which $3,000 is invested in CDs. His friend, Ivan, has $2,000 invested in

CDs, and this investment is proportional to Mikhail's. How much money is in Ivan's savings portfolio?
Mathematics
1 answer:
Sergeu [11.5K]2 years ago
7 0
Mikhail has $3.000 of his $12.000 invested in cd's, which is 3.000/12.000 = 1/4 of his total savings portofolio. Ivan too has 1/4 of his total savings portofolio invested in cd's, which is $2.000. So Ivan's total savings portofolio is 4 x $2.000 = $8.000
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A chemist has two alloys, one of which is 15% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of
vlabodo [156]

Answer: 490 grams of the first alloy should be used.

30 grams of the second alloy should be used.

Step-by-step explanation:

Let x represent the weight of the first alloy in grams that should be used.

Let y represent the weight of the second alloy in grams that should be used.

A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is

0.15x and 0.2x

The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is

0.3y and 0.5y

If the alloy to be made contains 82.5 g of gold, it means that

0.15x + 0.3y = 82.5 - - - - - - - - - - - -1

The second alloy would also contain 113 g of lead. This means that

0.2x + 0.5y = 113 - - - - - - - - - - - - -2

Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes

0.03x + 0.06y = 16.5

0.03x + 0.075y = 16.95

Subtracting, it becomes

- 0.015y = - 0.45

y = - 0.45/- 0.015

y = 30

Substituting y = 30 into equation 1, it becomes

0.15x + 0.3 × 30 = 82.5

0.15x + 9 = 82.5

0.15x = 82.5 - 9 = 73.5

x = 73.5/0.15

x = 490

6 0
3 years ago
Admission for a movie is $8 for children and $12 for adults. On a certain day, 3200 people attend the movie theater and $33,040
Nezavi [6.7K]
Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
   = 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
   = 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.
5 0
3 years ago
The math teachers inspect the homework assignments from a random sample of 50 students at the school. Only 68% of the students c
Lapatulllka [165]

1 because the number is alsome

7 0
2 years ago
Help me please, thank you.
Ivan
The correct answer is -2
4 0
3 years ago
What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
Nikolay [14]
Y=9.25 because inorder to solve this we need to first take 5*.3 which equals 1.5 now that we have this we can move on we now have the equation 1.5 + 2y = 20 so now we need to continue working on getting y by it self so we subtract 1.5 from each side and then that leaves us with 2y=18.5 now we divide by 2 which leaves us with y=9.25 enjoy=)
4 0
3 years ago
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