Find the slope of the graph

Which of the following statements are true? Select all that apply.

Tom [10]

Answer: The statements in options 2 and 4 are true.

Explanation:

The LCM of two numbers is the smallest number that is multiple of both numbers.

The factor of 8 and 12 are,

$8=2\times 2\times 2$

$12=2\times 2\times 3$

Since 2 and 2 are common in both but 2 and 3 are not same, therefore the L.C.M. of 8 and 12 is,

$L.C.M.(8,12)=2\times 2\times 2\times 3=24$

Therefore the statement in option 1 is incorrect.

The factor of 6 and 9 are,

$6=2\times 3$

$9=3\times 3$

Since 3 is common in both but 2 and 3 are not same, therefore the L.C.M. of 6 and 9 is,

$L.C.M.(6,9)=2\times 3\times 3=18$

Therefore the statement in option 2 is correct.

The factor of 11 and 4 are,

$11=1\times 11$

$4=2\times 2$

Since all factor are different, therefore the L.C.M. of 11 and 4 is,

$L.C.M.(11,4)=1\times 11\times 2\times 2=44$

Therefore the statement in option 3 is incorrect.

The factor of 9 and 10 are,

$9=1\times 9$

$10=2\times 5$

Since all factor are different, therefore the L.C.M. of 9 and 10 is,

$L.C.M.(9,10)=1\times 9\times 2\times 5=90$

Therefore the statement in option 4 is correct.

4 0

3 years ago

Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest. compounded weekly. What is the value of the CD a

blsea [12.9K]

Answer:

The value of the CD at the end of the 4 years is $5,808.86.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest.

This means that $P = 5000, r = 0.0375$

Compounded weekly

An year has 52 weeks, so $n = 52$

Then

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

$A(t) = 5000(1 + \frac{0.0375}{52})^{52t}$

What is the value of the CD at the end of the 4 years?

This is A(4). So

$A(4) = 5000(1 + \frac{0.0375}{52})^{52*4} = 5808.86$

The value of the CD at the end of the 4 years is $5,808.86.

6 0

3 years ago

4√24 - 3√54 + 5√6 - √150

EleoNora [17]

-2.44948974278 Good luck

7 0

3 years ago

Read 2 more answers

Netflix charges David $15 per month for a membership, plus a

kati45 [8]

Answer:

3 months

Step-by-step explanation:

15x+5= 50

15(3) +5 =50

45+5=50

8 0

3 years ago

Read 2 more answers

Lisa kicked a ball against the wall at the indicated angle. what is the measure, in degrees, of <1?

o-na [289]

The measure of angle ∠1 will be 68 degrees.

The missing graph is given below.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The diagram is given below.

Then the measure of angle ∠1 will be

68° + 44° + ∠1 = 180°

∠1 = 68°

The measure of angle ∠1 will be 68 degrees.

More about the angled link is given below.

brainly.com/question/15767203

#SPJ1

8 0

2 years ago