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LenKa [72]
3 years ago
15

Does anyone have any idea how to solve this problem?

Mathematics
1 answer:
Katena32 [7]3 years ago
7 0

Answer:

$1350

Step-by-step explanation:

(150 x 30) + (300 x 45) = 18000

18000 x 0.075 = 1350

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Find each measurement to the nearest tenth use 3.14 for pi. r=_ ; d=_ ; C= 17.8 m
jarptica [38.1K]
C = pi×diameter  OR C = 2pi×radius
So...
17.8 = pi×diameter    17.8 = 2pi×radius
17.8/pi = diameter      17.8/2pi = radius
<span>5.66591597407 = diameter or d
</span><span>2.83295798704 = radius or r</span>
8 0
3 years ago
the price of a new pair of sneakers is $79.95. if sales tax is 7.5%, then approximately, how much tax will be paid on sneakers?
Firlakuza [10]

Answer:

$6

Step-by-step explanation:

Find 7.5% of the sneaker price, by multiplying the price by 0.075:

79.95(0.075)

= 6

So, approximately, the tax will be $6

3 0
4 years ago
What are the first 3 composite numbers that are multiples of 4 and greater than 10.
insens350 [35]

Answer:

12, 16, and 20

Step-by-step explanation:

These are the answers because:

1) Composite numbers mean numbers that are divisible by more than two numbers (1 and itself).

2) Multiples of 4 that are greater than 10 are: 12, 16, and 20 because they are all divisible by more than two numbers, they are greater than 10, and they are mutiples of 4. You can check if they are multiples of 4 by skip counting or multiplying: 4, 8, 12, 16, 20 or 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20.

Therefore, the answers are: 12, 16, and 20

Hope this helps! :D

7 0
3 years ago
Read 2 more answers
Solve the following initial-value problem, showing all work, including a clear general solution as well as the particular soluti
Vikki [24]

Answer:

General Solution is y=x^{3}+cx^{2} and the particular solution is  y=x^{3}-\frac{1}{2}x^{2}

Step-by-step explanation:

x\frac{\mathrm{dy} }{\mathrm{d} x}=x^{3}+3y\\\\Rearranging \\\\x\frac{\mathrm{dy} }{\mathrm{d} x}-3y=x^{3}\\\\\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{3y}{x}=x^{2}

This is a linear diffrential equation of type

\frac{\mathrm{d} y}{\mathrm{d} x}+p(x)y=q(x)..................(i)

here p(x)=\frac{-2}{x}

q(x)=x^{2}

The solution of equation i is given by

y\times e^{\int p(x)dx}=\int  e^{\int p(x)dx}\times q(x)dx

we have e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}

Thus the solution becomes

\tfrac{y}{x^{2}}=\int \frac{1}{x^{2}}\times x^{2}dx\\\\\tfrac{y}{x^{2}}=\int 1dx\\\\\tfrac{y}{x^{2}}=x+cy=x^{3}+cx^{2

This is the general solution now to find the particular solution we put value of x=2 for which y=6

we have 6=8+4c

Thus solving for c we get c = -1/2

Thus particular solution becomes

y=x^{3}-\frac{1}{2}x^{2}

5 0
4 years ago
You bet $50 on 00 in a game of roulette. If the wheel spins 00, you have a net win of $1,750, otherwise you lose the $50. A stan
sesenic [268]

Answer:

-$2.63

Step-by-step explanation:

Calculation for the expected profit for one spin of the roulette wheel with this bet

Based on the information given you bet $50 on 00 while the standard roulette has 38 possible outcomes which means that the probability or likelihood of getting 00 will be 1/38.

Therefore when we get an 00, we would get the amount of $1,750 with a probability of 1/38 and in a situation where were we get something other than 00 this means we would lose $50 with a probability of 37/38.

Now let find the Expected profit using this formula

Expected profit = sum(probability*value) -sum(probability*value)

Let plug in the formula

Expected profit =($1,750 * 1/38) - ($50 * 37/38)

Expected profit=($1,750*0.026315)-($50×0.973684)

Expected profit= 46.05 - 48.68

Expected profit = - $2.63

Therefore the expected profit for one spin of the roulette wheel with this bet will be -$2.63

3 0
4 years ago
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