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Nonamiya [84]
3 years ago
14

4. Using the formula for the volume of a cylinder, , find h when V = 141.3 and r = 3. Use pi = 3.14.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

\text{The formula of a volume of a cylinder}\\\\V=\pi r^2h\\\\\text{We have}\ V=141.3\ \text{and}\ r=3.\ \text{Substitute}\\\\\pi(3^2)h=141.3\\\\9\pi h=141.3\qquad|\text{divide both sides by}\ 9\pi\\\\h=\dfrac{141.3}{9\pi}\qquad|\text{use}\ \pi\approx3.14\\\\h=\dfrac{141.3}{9\cdot3.14}\\\\h=\dfrac{141.3}{28.26}\\\\\boxed{h=5}

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30PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Yuliya22 [10]

1)

a)

P = 1500, r = 4% = 0.04, n = 5

A = 1500 (1+0.04)^5= 1824.98

He shall have $1824.98 in his account after 5 years

b)

Here P = 1500 , r = 4% = 0.04, n = 5 but simple interest

So

I=PRn= 1500(.04)(5)=300

Interest = $300

Amount in his account after 5 years = 1500 + 300 = $1800

c)

First one shall yield a better income and by 1824.98-1800 = $24.98

2)

a)

P= $2000, r = 8% = 0.08 so quaterly = 0.08/4 = 0.02, n = 1 year

A = P(1+r)^{4n}  =2000(1+0.02)^4 =2164.86

There shall be $2164.86 after 1 year

b)

P = 2000, r= 8%=0.08 and n = 1 for simple interest

I=PRn = 2000(0.08)(1)=160

Amount after 1 year shall be 2000 + 160= $2160

c)

First option is a better option.

The difference is 2164.86 - 2160 = $4.86

3)

a)

Bank A

P= 3200, r = 3.5%= 0.035, n = 3 years for simple interest

I =3200(0.035)(3)=336

Interest earned in Bank A = $336

b)

Bank B

P = 3200, r = 3.4% = 0.034, n= 3

A= P(1+r)^n=3200(1+0.034)^3=3537.62

Interest earned = 3537.62 - 3200 = $337.62

c)

Tyler must choose Bank B as it fetches greater interest

d)

The difference in interest = 337.62 - 336 = $1.62


4 0
3 years ago
The following is a student’s work when solving for y. There is a mistake in the work. What is the mistake? What is the correct a
laila [671]

Answer:

Part 1

The mistake is Step 2: P + 2·x = 2·y

Part 2

The correct answer is

Step 2 correction: P - 2·x = 2·y

(P - 2·x)/2 = y

Step-by-step explanation:

Part 1

The student's steps are;

Step 1; P = 2·x + 2·y

Step 2: P + 2·x = 2·y

Step 3: P + 2·x/2 = y

The mistake in the work is in Step 2

The mistake is moving 2·x to the left hand side of the equation by adding 2·x to <em>P </em>to get; P + 2·x = 2·y

Part 2

To correct method to move 2·x to the left hand side of the equation, leaving only 2·y on the right hand side is to subtract 2·x from both sides of the equation as follows;

Step 2 correction: P - 2·x = 2·x + 2·y - 2·x = 2·x - 2·x + 2·y = 2·y

∴ P - 2·x = 2·y

(P - 2·x)/2 = y

y = (P - 2·x)/2

7 0
2 years ago
Do both of them please
Neko [114]

Answer:

$ 333

Step-by-step explanation:

a) 33 + m*1 = 33 + m

b) m = 300 miles

33 + m = 33 + 300

           = $ 333

8 0
3 years ago
How can I estimate the value of 50.75 x 0.18? Thanks!
Lyrx [107]

Answer: The answer to your question is 50.75+0.18=9.135. I have nice day and hope this helps!




7 0
3 years ago
Read 2 more answers
What is the measure of this angle ?
yKpoI14uk [10]
The measure of the angle is 20
4 0
3 years ago
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