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2 years ago

Identify the coefficients, terms, like terms, and constants in

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

8 0

$\huge\boxed{\sf{Hello. :D}}$

The coefficient is a number before a variable.

Here, the coefficient is 9.

The like terms are any terms that have the same variable.

Here, 9k and -k are like terms, and 7 and 4 are like terms as well.

Combine like terms:

8k+3

The constants are: 7 and 4 (Constants are numbers in an expression or equation)

After combining like terms, the constant became

$\huge\bold{Hope\;my\;answer\;is\;helpful!}$

$\rm{StillEnjoyingLife :)$

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A borrower had a loan of $ 60 comma 000.00 at 4 % compounded annually comma with 8 annual payments. Suppose the borrower paid of

quester [9]

Answer:

The amount needed to pay off the loan after 4 years is $70,192

Step-by-step explanation:

When interest is compounded annually, total amount A after t years is given by:

$A = P(1 + r)^{t}$

where P is the initial amount (principal), r is the rate and t is time in years.

From the question:

P = $60,000

r = 4% = 0.04

t = 4

$A = 60000(1 + 0.04)^{4} \\A = 60000(1.04)^{4}\\A = 60000 * 1.16985856\\A = 70191.5136\\A = 70192$

The amount needed to pay off the loan after 4 years is $70,192

If we divide the amount by four, we will get the amount that is paid yearly (70192/4 = 17548). $17,548 is paid yearly.

7 0

3 years ago

The swim team has 41 people on their team they need new swim gear the swim caps cost $5 and the swim suit cost $ 16 dollars how

IRISSAK [1]

Answer:

The money they will have to pay is $861.

Step-by-step explanation:

Given:

The swim team has 41 people on their team.

They need new swim gear the swim caps cost $5 and the swim suit cost $16.

Now, to find the money they will have to pay.

Number of people on the swim team = 41.

Cost of swim caps = $5.

Cost of swim suit = $16.

Now, to get the total money they will have to pay:

Number of people on the swim team× (cost of swim caps + cost of swim suit)

$=41\times (5 +16)$

$=41\times 21$

$=\$861.$

Therefore, the money they will have to pay is $861.

7 0

3 years ago

The following data gives the scores of 13 students in a Biostatistics exam. 75 80 28 70 95 82 75 64 61 90 81 65 91 a) Find the f

Radda [10]

Answer:The following data gives the scores of 13 students in a Biostatistics exam. 75 80 28 70 95 82 75 64 61 90 81 65 91 a) Find the following statistical measures 1. Mean 2. Median 3. Mode 4. Range 5. 34th percentile 6. Interquartile Range 7. Variance 8. Standard deviation PRINCIPLES OF STATISTICS Assignment (1) Due Date: 15/7/2020 9. Coefficient of variation. b) (Without Calculations) If the instructor decide to add up 5 marks for every student, what are the values of the statistical measures mentioned in part (a). c) Construct the Boxplot of students' scores, and identify any possible outliers.

6 0

3 years ago

Natali5045456 [20]

The answer is 19 x yay

6 0

3 years ago

A club consists of 21 Republicans and 25 Democrats. If four people are chosen at random to be on a committee, what is the proba

Allushta [10]

Answer:

88.58% probability that at least one person from each political party will be chosen

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Also, the order which the people are chosen is not important. So the combinations formula is used to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

If four people are chosen at random to be on a committee, what is the probability that at least one person from each political party will be chosen?

Either only Republicans or Democrats are chosen, or at least one member from each party is chosen. The sum of these probabilities is 100%.

The easier way to solve this is first finding the probability that members are only from one party.

Probability of having members from only one party:

Desired outcomes:

Only Democrats:

4 from a set of 25.

Only Republican:

4 from a set of 21.

$D = C_{25,4} + C_{21,4} = \frac{25!}{4!21!} + \frac{21!}{4!17!} = 18635$

Total outcomes:

4 from 21+25 = 46 total members

$T = C_{46,4} = \frac{46!}{4!42!} = 163185$

Probability:

$p = \frac{D}{T} = \frac{18635}{163185} = 0.1142$

11.42% probability of having people from only one party in the committee

Probability of at least one person from each party:

p + 11.42 = 100

p = 88.58

88.58% probability that at least one person from each political party will be chosen

5 0

3 years ago