This is an arithmetic sequence with the common difference being 1

and if u have 1 cent on day 1 and 2 cents on day 2....then on day 40, u would have 40 cents....but we need the sum of all the days..

the sum of an arithmetic sequence can be found using the formula :
sn = n(a1 + an) / 2
n = number of terms = 40
a1 = first term = 1
an = last term = 40

now we sub
s(40) = 40(1 + 40) / 2
s(40) = 40(41)/2
s(40) = 1640/2
s(40) = 820.....820 cents = $ 8.20 <== the sum

4 0

3 years ago

Simplify each expression using the laws of exponents. No negative exponents should be in your final answer. (On the image attach

Cloud [144]

Answer:

Answer is given below with explanations.

Step-by-step explanation:

$by \: simplifying \: the \: given \: expression \: using \: \\ law \: of \: exponents \: we \: get \\ \frac{15 {x}^{15} {y}^{ - 3} {z}^{4} }{18 {x}^{18} { {y}^{4} {z}^{ - 4} }^{} } \\ = \frac{5 \: {x}^{ - 3} {y}^{ - 7} {z}^{8} }{6} \\ we \: may \: also \: write \: as \\ = \frac{5 {z}^{8} }{6 {x}^{3} {y}^{7} }$

$formulae \: used \ \: : \\ \frac{ {x}^{m} }{ { {x}^{n} }^{} } = {x}^{m - n} \: \: \: and \\ {x}^{ - m} = \frac{1}{ {x}^{m} }$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

5 0

3 years ago

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