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zhenek [66]
3 years ago
8

What is the lcm for 7,14,16

Mathematics
1 answer:
MAXImum [283]3 years ago
7 0

Answer:

112

Step-by-step explanation:

To find the least common multiple, we break the numbers down into prime factors

7 = 7

14 = 7*2

16 = 2*8 = 2*4*2 = 2*2*2*2

Then we take the largest number of times it appears in all the numbers

2 appears 4 times so we take take four 2's

7 appears 1 so we take one 7


LCM = 2*2*2*2*7

LCM = 112

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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
4 years ago
Help I don't understand​
Ksivusya [100]

Answer:

Sequence: Reflection over the y-axis, then 1 to the right and 2 down to get the triangle ABC to A'B'C.

Step-by-step explanation:

Have a nice day!

7 0
3 years ago
How
Alecsey [184]

Answer:

A one solution

Step-by-step explanation:

4(x - 5) = 3x + 7

Distribute

4x - 20 = 3x+7

Subtract 3x from each side

4x-3x-20 = 3x+7-3x

x -20 = 7

Add 20 to each side

x -20+20 = 7+20

x = 27

There is one solution

5 0
3 years ago
Read 2 more answers
5/6k=1/6 solve for k
Molodets [167]
5/6k = 1/6
k = 1/6 / 5/6 = 1/6 * 5/6                after you multiply your solution for K = 1/5           
7 0
3 years ago
Read 2 more answers
Find for x: 8 times 7=x
shepuryov [24]
8x7=56................
7 0
4 years ago
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