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3 years ago

What is the least common denominator (LCD) of12and35?

Mathematics

2 answers:

Lelu [443]3 years ago

8 0

Answer:

420 is the most correct answer

Step-by-step explanation:

Find the prime factorization of 12

12 = 2 × 2 × 3

Find the prime factorization of 35

35 = 5 × 7

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 3 × 5 × 7

LCM = 420

Therefore, I hope this helps!

liubo4ka [24]3 years ago

8 0

Answer:

the answer is 420

Step-by-step explanation:

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How many wholes are in 11/3?

lesantik [10]

There are 3 holes because if you do 4 thats to high cuz you would get 12 hope this is what you mean

5 0

2 years ago

What is 5/3 +2? That is certainly a challenging task to manage.

Sever21 [200]

Answer:

3.66

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

George is considering two different investment options. The first offers 7.4% per year simple interest on the initial deposit. T

pentagon [3]

Answer:

Part A) $\$12,220.00$

Part B) $\$12,134.08$

Part C) The simple interest investment is better than the compounded interest investment at the end of three years.

Part D) see the explanation

Step-by-step explanation:

Part A) Determine the value of the simple-interest investment at the end of three years

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=3\ years\\ P=\$10,000\\r=7.4\%=7.4/100=0.074$

substitute in the formula above

$A=10,000(1+0.074*3)$

$A=10,000(1.222)$

$A=\$12,220.00$

Part B) Determine the value of the compound-interest investment at the end of three years

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=3\ years\\ P=\$10,000\\r=6.5\%=6.5/100=0.065\\n=4$

substitute in the formula above

$A=10,000(1+\frac{0.065}{4})^{4*3}$

$A=10,000(1.01625)^{12}$

$A=\$12,134.08$

Part C) Which investment is better over the first three years?

Compare the two investment

$\$12,134.08 < \$12,220.00$

The compounded interest investment is less than the simple interest investment

therefore

The simple interest investment is better than the compounded interest investment at the end of three years

Part D) How would you advise George to invest his money if he is unsure how long he’ll keep the money in the account?

we have

$A=10,000(1+0.074t)$ ----> simple interest formula as a function of the time t

$A=10,000(1.01625)^{4t}$ ----> compound interest formula as function of the time t

Look to the attached graph below

The red line represents the simple interest investment

The blue curve represents the compounded interest investment

After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest

After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest

therefore

I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

4 0

3 years ago

At 88°F, a certain insect chirps at a rate of 64 times per minute, and at 97°F, they chirp 118 times per minute. Write an equati

Allushta [10]

Let " x " denotes the temperature in degree Fahrenheit .

Let " y " denotes the chirp rate per minute .

We have given that at 88 degree Fahrenheit , chirp rate is 64 times per minute and at 97 degree Fahrenheit , it is 118 times per minute .

We write this information in coordinate form ( x,y) .

We have ( x₁ ,y₁) = ( 88 , 64 ) and ( x₂ , y₂) = ( 97,118) .

y₂ - y ₁ 118 - 64 54

Slope , m = ---------------------- = --------------------- = -----------

x₂ - x₁ 97 - 88 9

Slope , m = 6 .

Equation of line in slope intercept form is

y = m x + b where ' m' is slope and ' b ' is intercept .

Plug value of m , we get

y = 6 x + b .

To find value of b , we put ( 88 , 64 ) in place of x and y .

Put x = 88 and y = 64 , we get

64 = 6 * 88 + b

64 = 528 + b

64 - 528 = b

- 464 = b

Thus we get b = - 464 .

So the equation become

y = 6 x - 464 .

Equation in slope intercept form representing the situation is

y = 6 x - 464 .

6 0

3 years ago

14 points!! Two times a number, plus five, equals the number, minus five.

kirill115 [55]

Answer:

I believe the answer will be

2x+5=x-5

7 0

4 years ago