MATHEMATICS
MIDDLE SCHOOL

Answer: You need to do this LCM(least common multiples)

6,12,18,24,30,36

9,18,27,36,45,54

18 is your answer.

6,12,18,24,30,36

9,18,27,36,45,54

18 is your answer.

Answer: The minimum she can buy for the pack of 6 is 3 and the minimum for the pack of 9 is 2.

HIGH SCHOOL

Lynne invested $35,000 into an account earning 4% annual interest compounded quarterly. She makes no other deposits into the account and does not withdraw any money. What is the balance of Lynne's account in 5 years?

The interest earned on the amount will increase the net balance. The balance of Lynne's account in 5 years would become $76,689.31 approximately.

How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that simple interest, then the interest amount earned is given by:

And thus, final amount will be:

For the given case, the principal amount (initial amount) Lynne invested is P = 35000 (in dollars)

The rate of interest = 4% compounding quarterly.

Here, unit of time is is quarter of an year which means 1/4 of an year.

The time is given to be 5 years. In each year, there are 4 quarters, so in 5 years, there would be 20 quarters of years.

Thus, T = 20 (we always need to keep unit of time same for R and T for using that formula).

Putting these values in the above formula, we get the final amount's value in Lynne's account in 5 years as:

Thus, the balance of Lynne's account in 5 years would become $76,689.31 approximately.

Learn more about compound interest here:

brainly.com/question/11897800

Data:

P = 35000

r = 4% = 0,04

n = 4

t = 5

P' = ?

I = ?

We have the following compound interest formula

P = 35000

r = 4% = 0,04

n = 4

t = 5

P' = ?

I = ?

We have the following compound interest formula

So the new principal after 5 years is approximately $42,706.66.

Subtracting the original principal from this amount gives the amount of interest received:

HIGH SCHOOL

Simplify 2a^2b^3(4a^2+3ab^2-ab)

2a^2b^3(4a^2+3ab^2-ab)=?

is what I presume you actually meant.

Pull out the common factors of (4a^2+3ab^2-ab) and you will get

a(4a+3b^2 -b)

Substitute this back into the original equation and you get

2a^2b^3[a(4a+3b^2-b)] =

2a^3b^3(4a+3b^2-b) =

2a^3b^3(4a-b+3b^2)

is what I presume you actually meant.

Pull out the common factors of (4a^2+3ab^2-ab) and you will get

a(4a+3b^2 -b)

Substitute this back into the original equation and you get

2a^2b^3[a(4a+3b^2-b)] =

2a^3b^3(4a+3b^2-b) =

2a^3b^3(4a-b+3b^2)

HIGH SCHOOL

What is the complementary event to drawing a blue marble? (check all that apply) drawing a red marble

drawing a green marble

drawing a red or green marble

not drawing a blue marble

PLZ hurry I give brainly

Answer: Fourth Option is correct.

Step-by-step explanation:

Since we have given that

let A be the event of drawing a blue marble.

We need to find the complement of event A i.e. represented by A'.

Complement of any set of all the outcomes that are not the event.

So, A' would be the event of not drawing a blue marble.

Hence, Fourth Option is correct.

HIGH SCHOOL

In Janie’s homeroom, 45% of the students’ families own a dog and 23% own a dog and a cat. What is the probability that a student’s family owns a cat if the family owns a dog?

Answer:

51,111%

Step-by-step explanation:

We know that 45% have a dog but no cat. While 23% have both a dog and a cat.

Then Pr(X has cat|X has dog) = Pr(X has dog and cat)/Pr(X has dog)

= Pr(X has dog and cat)/Pr(X has dog) = 0.23/0.45 = 0.51 ≈ 51,111%

The probability that a student’s family owns a cat if the family owns a dog is 51,111%

Answer:

51.1% is the correct answer.

Step-by-step explanation:

MIDDLE SCHOOL

Which postulate or theorem proves △FWJ∼△PKJ ? AA Similarity Postulate SAS Similarity Theorem SSS Similarity Theorem Triangle F W J with right angle W and triangle P K J with right angle K. Points W, J, and K are collinear. W J is 10 centimeters and K J is 5 centimeters. Angle F J W is labeled 63 degrees and angle J P K is labeled 27 degrees.

Answer:

AA Similarity Postulate proves △FWJ∼△PKJ

Step-by-step explanation:

It is given that,

△FWJ and △PKJ are two right angled triangle.

In △FWJ right angled ate W and in △PKJ right angled at K.

Therefore

MIDDLE SCHOOL

X=4,8,12,16 Y=21,37,53,68,85

X=+4

Y=+16

because when it starts at zero, it eventually reaches this because it adds those numbers each time

Y=+16

because when it starts at zero, it eventually reaches this because it adds those numbers each time

MIDDLE SCHOOL

Which of these numbers is between 1 and 3/5 (Points:1) A)8/5

B) 5/9

C)5/8

D)3/8

"3/8" is the one number among the following choices given in the question that is between 1 and 3/5. The correct option among all the options that are given in the question is the fourth option or the last option or option "D". I hope that this is the answer that has actually come to your desired help.

MIDDLE SCHOOL

Population of 2,400 increased by 80%

Answer:

the total population is 4700

Step-by-step explanation:

hope it help you

MIDDLE SCHOOL

How do you put 20/80 in simplest form

You just need to divide 20/80 and it will give you the answer . use the calculator. so the answer would be 0.25 .

GCF = 20

Reduce the fraction by dividing

the numerator and denominator by 20

and get the simplified answer

20 ÷ 20=1 || 80 ÷ 20=4

1/4 is your answer! :D