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astraxan [27]
3 years ago
5

A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after five years (assuming the stude

nt has not made any payments yet) if the bank charges 2.8% interest each year?
Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Answer:

its 1050

Step-by-step explanation:

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Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), h
Vlad1618 [11]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?

Solution:

(a)

The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.

In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.

So, the "individuals" in this data set are the monkeys.

(b)

Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.

Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.

In this case the variables are:

Number of bananas the monkeys ate - Quantitative variable

Gender - Categorical variable

Age (in years) -  Quantitative variable

Specific breed of monkey - Categorical variable

5 0
3 years ago
Help me find the volume
Jobisdone [24]

Answer:

Volume is 9.428 cu.cm

It is asked for nearest tenth so it would be 10 cu.cm

7 0
2 years ago
Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the v
klemol [59]
X + 3y = 7
x = -3y + 7

2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-2y = 8 - 14
-2y = - 6
y = -6/-2
y = 3

x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2

solution is (-2,3)
6 0
3 years ago
Read 2 more answers
A warehouse receives 1,200 boxes of paper that need processing. The warehouse workers can process the boxes of paper at a rate o
Mariulka [41]

The function, f(t), that represents the number of boxes of paper that still need to be processed after t hours is y = 200t + 1200

The expression will be expressed as a straight line formula:

The standard form of the equation is expressed as y = mt+ b

  • m is the slope of the equation or the rate
  • b is the intercept
  • t will be the time taken

From the question;

Rate "m" = 200 boxes per hour

Amount of box the warehouse received = 1200 boxes

Substitute the give parameters into the formula to have:

y = 200t + 1200

f(t) = 200t + 1200

Hence the function, f(t), that represents the number of boxes of paper that still need to be processed after t hours is y = 200t + 1200

Learn more here: brainly.com/question/17003809

8 0
3 years ago
Read 2 more answers
Hi please help me thanksss<br>pls provide workings too thanks :)​
anygoal [31]

Step-by-step explanation:

Search for questions & chapters

Class 11

>>Maths

>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

Question

Bookmark

Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

Medium

Solution

verified

Verified by Toppr

We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

8

π

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

3

2π

or x=

3

6n±2

π

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

4 0
3 years ago
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