Answer:
your answer would be $145.60
Step-by-step explanation:
you have to multiply 14.56 by 10
Answer:
343x^6y^3z^3
Step-by-step explanation:
One of the rules of exponents demands:
![(abc)^m=a^mb^mc^m](https://tex.z-dn.net/?f=%28abc%29%5Em%3Da%5Emb%5Emc%5Em)
where a, b, c and m are coefficients.
Furthermore, you use the following rule for exponents of variables that already have an exponent:
![(a^n)^m=a^{m*n}](https://tex.z-dn.net/?f=%28a%5En%29%5Em%3Da%5E%7Bm%2An%7D)
Thus, you can apply this rules in the following way:
![(7x^2yz)^3=(7)^3(x^2)^3(y)^3(z)^3=7*7*7x^{2*3}y^3z^3=343x^6y^3z^3](https://tex.z-dn.net/?f=%287x%5E2yz%29%5E3%3D%287%29%5E3%28x%5E2%29%5E3%28y%29%5E3%28z%29%5E3%3D7%2A7%2A7x%5E%7B2%2A3%7Dy%5E3z%5E3%3D343x%5E6y%5E3z%5E3)
hence, the answer is 343x^6y^3z^3
Answer:
3/10
Step-by-step explanation:
The question asks for the probability of finding 4 or more, so first, you must add up all of the teenagers that have 4 or more shoes. Both the 4 and 5 categories fit, so add 20 and 10. Then, find the total number of people in the sample size. Overall, 100 teenagers are represented. Finally, put the number of people that have 4 or more shoes, 30, over the sample size, 100. This equals 30/100 which should be simplified to 3/10.
Answer:
<h2>$16,104.35</h2>
Step-by-step explanation:
the expression for compound interest is given as
![A = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
A=$20,000
P=?
r=7.25%=0.0725
n=52 weeks
t=3 year
![20000= P(1 + \frac{0.0725}{52})^{52*3}\\\\20000= P(1 + \frac{0.0725}{52})^{156}\\\\20000= P(1 +0.00139)^{156}\\\\20000= P(1.00139)^{156}\\\\20000=1.2419P\\\\P=20000/1.2419\\\\P=16104.35\\](https://tex.z-dn.net/?f=20000%3D%20P%281%20%2B%20%5Cfrac%7B0.0725%7D%7B52%7D%29%5E%7B52%2A3%7D%5C%5C%5C%5C20000%3D%20P%281%20%2B%20%5Cfrac%7B0.0725%7D%7B52%7D%29%5E%7B156%7D%5C%5C%5C%5C20000%3D%20P%281%20%2B0.00139%29%5E%7B156%7D%5C%5C%5C%5C20000%3D%20P%281.00139%29%5E%7B156%7D%5C%5C%5C%5C20000%3D1.2419P%5C%5C%5C%5CP%3D20000%2F1.2419%5C%5C%5C%5CP%3D16104.35%5C%5C)
the manager need to invest $16,104.35
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Define the two numbers
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Let the first number be x.
Let the second number be y.
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Form equations and solve x and y
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x + 2y = 14 ------------------ (1)
2x + y = 31 ------------------ (2)
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Equation (1) x 2
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2x + 4y = 28 ---------------(1a)
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Equation (1a) - 2
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3y = 28 - 31
3y = -3
y = -1
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Substitute y = -1 into (1)
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x + 2(-1) = 14
x -2 = 14
x = 14 + 2
x = 16
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Answer: x =16, y = -1
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