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3 years ago

Answer please and thank you

Mathematics

2 answers:

Tpy6a [65]3 years ago

7 0

Answer:

Step-by-step explanation:

Well, 3/12 can be simplified to 1/4

To find the least common denominator of 1/8, 2/9, and 1/4 make a list of multiples that they have in common

8: 8, 16, 24, 32, 40, 48, 56, 64, 72...

9: 9, 18, 27, 36, 45, 54, 63, 72...

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72...

As you can see, 72 is the one number they all have in common which makes it the least common denominator.

USPshnik [31]3 years ago

5 0

Answer:

Step-by-step explanation:

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Assoli18 [71]

Answer:

Non Solvable (Không thể giải quyết)

Step-by-step explanation:

I can't see some of them (Tôi không thể nhìn thấy một số trong số họ)

3 0

3 years ago

Let 3x^2+kx+4. determine all values of k such that the quadratic equation f(x) =0 has one real root

user100 [1]

//I'll use the discriminant rule for this.
b^2 - 4ac = 0 when one real root

Therefore, k^2 - 4*3*4= 0
k^2 = 48
k= +-4√3

7 0

4 years ago

Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000

AleksandrR [38]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

First, we determine the value of the 5 installments using a 5% annual compounded rate.

We calculate the future value, and then the present value:

FV= {A*[(1+i)^n-1]}/i

A= annual payments

FV= {60,000*[(1.05^5) - 1]} / 0.05

FV= $331.537.88

PV= FV/(1+i)^n

PV= $259,768.60

At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.

Now, if the annual rate is 6% continuously compounded.

First, we need to calculate the effective interest rate:

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

FV= {60,000*[(1.0618^5) - 1]} / 0.0618

FV= 339,443.23

PV= 339,443.23/1.0618^5

PV= $251,509.01

At an annual rate of 6% compounded continuously, she should choose the $255,000.

5 0

3 years ago

180+8x=160+6x help me find x

lianna [129]

Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

180 + 8x = 160 + 6x

Step 2: Solve for x

Subtract 6x on both sides: 180 + 2x = 160
Subtract 180 on both sides: 2x = -20
Divide both sides by 2: x = -10

Step 3: Check

Plug in x to verify it's a solution.

180 + 8(-10) = 160 + 6(-10)

180 - 80 = 160 - 60

100 = 100

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3 years ago

5 Carla packs 4 pairs of pants, 2 pairs of shorts, and 3 skirts for her vacation.

lyudmila [28]

Answer: D

Step-by-step explanation:

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3 years ago