The sum of the first 7 terms of the geometric series is 15.180
<h3>Sum of geometric series</h3>
The formula for calculating the sum of geometric series is expressed according to the formula. below;
GM = a(1-r^n)/1-r
where
r is the common ratio
n is the number of terms
a is the first term
Given the following parameters from the sequence
a = 1/36
r = -3
n = 7
Substitute
S = (1/36)(1-(-3)^7)/1+3
S = 1/36(1-2187)/4
S = 15.180
Hence the sum of the first 7 terms of the geometric series is 15.180
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When the base salary was $400 with 5% commission gross pay was $893.00
When the base salary increased by 6% with 5% commission gross pay was $917.00
When base salary was $400 and the commission increased to 15% gross pay was $1,879.00
What is the gross pay of Nick Antonelli?
The gross pay is the base salary of $400 plus 5% of all his sales
base salary=$400
sales revenue=$9,860
5% of all sales=5%*$9,860
5% of all sales=$493.00
gross pay=$400.00+$493.00
gross pay=$893.00
What is the new base salary with a 6% increase?
new base salary=$400*(1+6%)
new base salary=$424.00
5% of all sales=$493.00
gross pay=$424.00+$493.00
gross pay=$917.00
What is the new commission rate with a 10% increase?
The new commission rate is 15%(10%+5%)
new commission=15%*$9860
new commission=$1,479
gross pay=$400+$1479
gross pay=$1,879.00
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The correct answer to this question will be the yellow box which is <5 less than five
Answer:6 apples cost exactly the same as 9 oranges. 10 apples and 10 oranges cost $7.50. Find the cost of 1 apple and the cost of 1 orange.
Step-by-step explanation:
Only 3(a−b) and 3a−3b are equivalent
Further explanation:
We have to evaluate each expression to evaluate if the expressions are equivalent or not.
So,
<u>For 3(a−b)</u>
As we can see that 3(a-b) results in 3a-3b so these are equivalent
<u>For 2a(2+b)</u>
As we can see that 2a(2+b) doesn't result in 4ab so these are not equivalent
Hence,
Only 3(a−b) and 3a−3b are equivalent
Keywords: Equivalent expression, Polynomials
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