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tresset_1 [31]
3 years ago
8

6. Tony is going to buy a new bike. The bike costs $120.50. If Tony uses a 25% coupon how much will he

Mathematics
1 answer:
Kruka [31]3 years ago
6 0

Answer:

$90.38

Step-by-step explanation:

25% of $120.50 is $30.125

$120.50 - $30.125 = $90.375 rounded to $90.38

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Find the volume of the given solid: Bounded by the cylinder y^2+z^2=4 and the planes x = 2y, x = 0, z = 0 in the first octant.
rodikova [14]

The solution would be like this for this specific problem:

<span>V = ∫ dV </span><span>
<span>= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr </span>
<span>= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr </span>
<span>= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr </span>
<span>= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr </span>
<span>= ∫0→2 [ 2·r² ] dr </span>
<span>= (2/3)·2³ - (2/3)·0³ </span>
<span>= 16/3 </span></span>

So the volume of the given solid is 16/3. I am hoping that these answers have satisfied your query and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

3 0
3 years ago
8 is greater than w, and w is greater than 3
topjm [15]

Answer:

W is either 4, 5, 6, or 7.

Step-by-step explanation:

7 0
3 years ago
Solve the system using substitution.
valkas [14]

Good evening ,

Answer:

<h2>(3,15)</h2>

Step-by-step explanation:

y=5x then

4x-y= -3 ⇌ 4x-5x= -3 ⇌ -x= -3 ⇌ x=3

and since y=5x then y=5×3=15.

______________________________

:)

5 0
2 years ago
Integral of (sin(2x) + cos(2x)) dx=
Vinil7 [7]

\displaystyle \int (\sin 2x + \cos 2x)~ dx\\\\=\displaystyle \int \sin 2x ~dx + \displaystyle \int \cos 2x ~ dx\\\\=-\dfrac{\cos 2x}2 + \dfrac{\sin 2x}2 +C\\\\=\dfrac{\sin 2x - \cos 2x}2+C

3 0
2 years ago
Jen invested $3500 into a continuously compounded account with an interest rate of 3.1%. After 9 years, how much money is in the
GarryVolchara [31]

Answer:

≈$4607

Step-by-step explanation:

I will assume it's compounded yearly.

Apply the compound interest formula.

A=P(1+\frac{r}{n})^{nt}

A = Total

P = Initial Principle

r = Interest Rate

n = number of interest in every t period

t = number of periods

In the case,

P = 3500

r = 3.1% = 0.031

n = 1

t = 9

Hence,

A=3500(1+\frac{0.031}{1})^{1*9}

A = 4606.764717......

A ≈ 4607 (nearest whole number)

7 0
2 years ago
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