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3 years ago

6

Find the smallest possible interger value n for which 99n is a multiple of 24

2 answers:

anastassius [24]3 years ago

8 0

Thats going to be 3 cos 3 * 8 and 3 times 23 is both of the answers

motikmotik3 years ago

3 0

I would guess that you would need to find the Least Common Multiple (LCM) of 99 and 24 first.

After listing out all of the multiples, you would have 792 be the LCM of 99 and 24. But since we need to find the integer value of n, in 99n (which means 99 x n), then we need to divide 792 by 99, which would be 8.

n = 8

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tatyana61 [14]

Answer: girllll ion know

Step-by-step explanation:

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4 years ago

What is the length of segment AE?

nexus9112 [7]

Answer:

$AE=\frac{50}{3}\ units$

Step-by-step explanation:

step 1

In the right triangle ABC

Applying the Pythagoras Theorem fin the hypotenuse AC

$AC^{2} =AB^{2}+BC^{2}$

substitute

$AC^{2} =6^{2}+8^{2}$

$AC^{2} =100$

$AC =10\ units$

step 2

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

so

$\frac{AB}{CD}=\frac{AC}{CE}$

substitute and solve for CE

$\frac{6}{4}=\frac{10}{CE}\\ \\CE=4*10/6\\ \\CE=\frac{20}{3}\ units$

step 3

Find the length of segment AE

AE=AC+CE

substitute the values

$AE=10\ units+\frac{20}{3}\ units=\frac{50}{3}\ units$

6 0

3 years ago

In a class of 29 students, 19 are female and 14 have an a in the class. there are 8 students who are male and do not have an a i

vodomira [7]

Answer:

5/ 19 ≈ 0.26 = 26%

Step-by-step explanation:

given: student is female. there is a 100% chance that the student is female

probability we want = (favorable outcomes) / (total outcomes)

total outcomes = 19 because there are 19 female students and the student must be female

favorable outcomes = 19 - 14 = 5 females who do not have an A in the class

probability = 5/ 19 ≈ 0.26 = 26%

3 0

2 years ago

Roy Gross is considering an investment that pays 7.6 percent, compounded annually. How much will he have to invest today so that

Debora [2.8K]

Answer: he should invest $16129 today.

Step-by-step explanation:

Let $P represent the initial amount that should be invested today. It means that principal,

P = $P

It would be compounded annually. This means that it would be compounded once in a year. So

n = 1

The rate at which the principal would be compounded is 7.6%. So

r = 7.6/100 = 0.076

The duration of the investment would be 6 years. So

t = 6

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 25000

Therefore

25000 = P(1+0.076/1)^1×6

25000 = P(1.076)^6

25000 = 1.55P

P = 25000/1.55

P = $16129

4 0

3 years ago

A rectangle has a base that is 12 and a height that is 6. Find its area.

4vir4ik [10]

Answer:

72 in. squared

Step-by-step explanation:

12 times 6 = 72

6 0

3 years ago

Read 2 more answers