A cylindrical water bottle has a diameter of 2.5 inches and a height of 12 inches. The water surface 2.5 inches from the top. To the nearest cubic inch, how much water is in the water bottle?

Answers

Answer 1

Answer: Volume of a cylinder is = π x r² x h

radius = diameter / 2 = 2.5 / 2 = 1.25

r² = 1.25 x x1.25 = 1.56 inches

Height = height of the water = 12 - 2.5 = 9.5

So V = 3.14 x 1.56 x 9.5 = 46.53 = 47 cubic inches of water

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a person deposits $5000 in an account paying 2.5%, compounded semiannually. Find the amount in the account after 4.5 years

Answers

Answer:

$5,591.46

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

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

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 2.5% into a decimal:

2.5% -> $(2.5)/(100)$ -> 0.025

Since the interest is compounded semiannually, we will use 2 for n. Lets plug in the values now:

$A=5,000(1+(0.025)/(2))^(2(4.5))$

$A=5,591.46$

The amount in the account after 4.5 years is $5,591.46

Final answer:

To find the amount in the account with compound interest, we use the compound interest formula. Substituting given values into the formula, we can calculate the final amount in the account after the specified time period.

Explanation:

The subject of this question is the calculation of compound interest. In this case, the person is investing $5000 at an interest rate of 2.5%, compounded semiannually, with the principle kept on deposit for 4.5 years.

The formula used to calculate compound interest is: A = P * (1 + r/n)^(nt), where:

A is the amount of money accumulated after n years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (in decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for in years.

Substituting the given values into the formula we get: A = 5000 * (1 + 0.025/2)^(2*4.5). Solving, you obtain the amount in the account after 4.5 years.

Learn more about Compound Interest here:

brainly.com/question/34614903

#SPJ11

In the equation -y = 10x, what is the unit rate?

Answers

You have to multiply by a -1 both sides,
it would be 10 1/2

Stuck on this math question

Answers

Answer:

SinA = √5/3

CosB = √5/3

Step-by-step explanation:

First let us find the value of a. This is illustrated below:

a^2 = 6^2 — 4^2

a^2 = 36 — 16

a^2 = 20

Take the square root of both side

a = √20 = √(4 x 5) = √4 x √5

a = 2√5

From the diagram,

For sinA

Opp = 2√5

Hypo = 6

Adj = 4

SinA = opp /Hypo

SinA = 2√5/6

SinA = √5/3

For CosB

Opp = 4

Hypo = 6

Adj = 2√5

CosB = Adj /Hypo

CosB = 2√5/6

CosB = √5/3

Which of these is the note A?

Answers

By knowing the position of each note in the pentagram, we will see that the correct option is C.

How to read the notes in a pentagram?

The notes in a pentagram, counting from the bottom line and where you need to remember that notes go on the lines and also on the spaces between the lines, are:

E for the first line
F for the first space
G for the second line
A for the second space
B for the third line
C for the third space
D for the fourth line
E for the fourth space
F for the fifth line.

So now you know the position of A in the pentagram, you just need to find the one where the note is in the second space counting from the bottom, the correct option is C.

If you want to learn more about sheet notation, you can read:

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Answer:

OPTION :C. is note A . #answerwithquality #BAL

What is the value of p in the equation?

One-fourth (8 minus 4 p) + 2 p = 12

Answers

1/4(8-4p) + 2p = 12

Use distributive property by multiplying 1/4 by each term inside parentheses:

2 - p + 2p =12

Combine like terms:

2 + p = 12

Subtract 2 from both sides:

P = 10

P is equal to 10

How to get your answer:

So 1/4(8-4p) + 2p = 12

First you need to distributive by multiplying 1/4 to each term like this:

2 - p + 2p =12

Then you have to combine to terms just as I did below:

2 + p = 12

Then you need to subtract 2 from both sides to get 10 so:

P = 10

A DJ has a total of 1075 dance, rock, and country songs on her system. The dance selection is three times the size of the rock selection. The country selection has 105 more songs than the rock selection. How many songs on the system are dance? Rock? Country? Please help! This has to do with substituting linear equations.

Answers

$D+R+C=1075\nD=3R\nC=R+105\n\n(3R)+R+(R+105)=1075\n5R=970\nR=194\n\nD=3(194)=\nD=582\n\nC=(196)+105=\nC=301$

582 dance songs.
194 rock songs.
301 country songs.

Answersub to me melodwybae

Step-by-step explanation:

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