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1 year ago

Which expression is equivalent to 3x^-6y^-3 / 15x^2y^10? Assume x ≠ 0, y ≠ 0

Mathematics

1 answer:

9966 [12]1 year ago

3 0

$\textsf {Simplifying the exponents :}$

$\mathsf {\frac{3x^{-6}y^{-3}}{15x^{2}y^{10}}}$

$\mathsf {\frac{1}{5x^{(2+6)}y^{(10+3)}}}$

$\mathsf {\frac{1}{5x^{8}y^{13}}}$

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3 years ago

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2 years ago

A chain of retail computer stores opened 2 stores in its first year of operation. After 8 years of operation, the chain consiste

Helen [10]

Answer:

0.66

Step-by-step explanation:

The exponential growth equation is expressed as;

S(t) = S0e^kt

S(t) is the number of stores after t years

S0 is the initial number of stores

If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;

2 = S0e^k(1)

2 = S0e^k .... 1

Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;

206 = S0e^k(1)

206 = S0e^8k .... 2

Next is to calculate the value of k

Divide equation 2 by 1;

$\frac{206}{2} = \frac{S0e^{8k} }{S0e^k }\\103 = e^{7k}\\apply \ ln \ to \ both \ sides\\ln103 = lne^{7k}\\ln103 = 7k\\k = \frac{ln103}{7}\\k = \frac{4.6347}{7} \\k = 0.6621$

Hence the value of k to the nearest hundredth is 0.66

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3 years ago

Can someone please help me

Vikki [24]

$16(4 shirts)= $64
5%=$64(0.05)=$3.20
Jamal's total is $67.20

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3 years ago