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eduard
1 year ago
13

You need school supplies. You go to the store and see that there are 6 different backpacks, 8 notebooks, 3 packets of pens, and

8 folders to choose from. You decide to go to another store to see their selection. The second store had a third of the backpacks, half the notebooks, and triple the number of pens. How many folders would the new store need to have in order for there to be the same number of combinations of items to choose from in the second store than in the first store?
Mathematics
1 answer:
Natasha2012 [34]1 year ago
4 0
Double the folders I think I’m sure
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Paul has $20,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest
hjlf

Answer:

In the 8% option , $5,000 should be invested

In the 12% option, $15,000 should be invested

Step-by-step explanation:

Let’s start with the total return.

Since the total return expected is 11%, the amount expected to be returned will be;

11/100 * 20,000 = $2,200

Now, let the amount invested at 8% interest be $x while the amount invested at 12% interest be $y

Mathematically;

x + y = 20,000 ••••••(i)

Now let’s work with the interest part;

On the 8% part, amount of interest expected is 8/100 * x

on the 12% part, amount of interest expected is 12/100 * x

8% of $x + 12% of $y = 2,200

Writing this fully mathematically, we have;

(8/100 * x) + (12/100 * y) = 2,200

8x/100 + 12y/100 = 2,200

Multiply through by 100

8x + 12y = 220,000 ••••••(ii)

Now we have two equations to solve simultaneously;

x + y = 20,000

8x + 12y = 220,000

From i, x = 20,000-y

Substitute this into ii

8(20,000-y) + 12y = 220,000

160,000-8y + 12y = 220,000

4y = 220,000 - 160,000

4y = 60,000

y = 60,000/4

y = $15,000

x = 20,000 -y

x = 20,000 - 15,000

x = $5,000

8 0
3 years ago
If someone has a cube shaped box that measures 9 inches along each edge. Can they fit 1,000 1 square inch cubes inside the box
Stolb23 [73]

Answer:

The area of the box is equal to 9^3 = 729 in^3

729<1000  


Step-by-step explanation:

No since the volume of the box is less than the total volume of the cubes

4 0
3 years ago
Write two equivalent ratios 3to5??
vesna_86 [32]

Answer:

3 : 5

6 : 10

9 : 15

12 : 20

15 : 25

7 0
3 years ago
4(x-12)^1/3 = -16<br> Help please, thank you
Lina20 [59]

Hello!

4 (x-12) ^ 1/3 = -16

Step 1. Simplify each side of the equation, 4/ 3x + −16 = −16 and 4 /3 x −16 = −16

Step 2. Add 16 to both sides, 4 /3 x − 16 + 16 = −16 + 16

Step 3: Multiply both sides by 3/4, ( 3/4)*(4/3x)=(3/4)*(0)

Final Answer: x= 0

Hope I could help! :)


7 0
3 years ago
I need help with this math problem please
Gekata [30.6K]

Answer:

C)  3(x+7)²

Step-by-step explanation:

8 0
3 years ago
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