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Taya2010 [7]
3 years ago
7

Help please!! Xxxxxxx

Mathematics
2 answers:
goblinko [34]3 years ago
8 0

Answer:

B

Step-by-step explanation:

I am Lyosha [343]3 years ago
3 0
B is the answer iggggg
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If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter d
grin007 [14]

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

S_{a} = \pi d^2

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}

Surface area decreases at a rate of 3 cm2/min

This means that \frac{dS_{a}}{dt} = -3

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is \frac{dd}{dt} when d = 9. So

\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}

-3 = 2*9\pi\frac{dd}{dt}

\frac{dd}{dt} = -\frac{3}{18\pi}

\frac{dd}{dt} = -0.053

The diameter decreases at a rate of 0.053 cm/min.

7 0
3 years ago
6 m<br> 6 m<br> 3 m<br> 6 m<br> 6 m<br> 108 m)<br> 0 144 m<br> 144 m<br> 100 m<br> Other
Bad White [126]

9514 1404 393

Answer:

  (c)  144 m²

Step-by-step explanation:

The surface area can be calculated from ...

  SA = 2(LW +H(L+W))

  SA = 2((6 m)(6 m) +(3 m)(6 m +6 m))

  = 2(36 m² +(3 m)(12 m)) = 2(36 m² +36 m²) = 2(72 m²)

  SA = 144 m²

_____

<em>Additional comment</em>

The units of area are square meters (m²). The units of volume are cubic meters (m³).

5 0
3 years ago
8
STatiana [176]

Answer:

(e^3 / e^2n)

Step-by-step explanation:

isn't this the same question

5 0
3 years ago
Three financial institutions, A,B,C, are offering different rates on a loan. Is a offer 3.15 % annual compounded monthly, B offe
coldgirl [10]

Answer:

Step-by-step explanation:

Given that interest rates are as follows:

Let P be 100 dollars for each.

A) 3.15% compounded monthly.

Hence amount = 100(1+\frac{3.15}{1200} )^{12}

Final amount = 103.20 dollars

B) 2.25% compounded quarterly

Final amt. = 100(1+\frac{2.25}{400} )^4

=102.27

C) 2.05% compounded daily

Amount = 100(1+\frac{2.05}{36500} )^{365}

=102.07

Obviously A is the best deal.

8 0
4 years ago
How much interest will be earned on a $3200 investment at 7% compounded quarterly for 5 years? State your answer in terms of dol
icang [17]

Answer:

4527.29

Step-by-step explanation:

P=3200(1+0.07/4)^4(5)

Formula

P=A(1+R/N) ^nt

A= amount=$3200

R=rate7% convert to decimal 0.07

T=time 5 years

N= quarterly(4)

Yearly would be 12

Daily 365 and

continuously would be a different formula

7 0
4 years ago
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