Answer: $275
Step-by-step explanation:
Given : Andrew earns an allowance of $14 the first week, $17 the next week, $20 the following week, and so on.
We can see that each week there is his allowance is increasing by $3.
That means his allowance is increasing Arithmetically.
We know that for Arithmetic sequence , the sum of first n terms is given by :-
, where a = First term
d= common difference
For the given situation, a = $14 and d=$3
Then, for n= 10 , we have
Hence, Andrew will earn $275 over the course of 10 weeks.
Answer:
7k
Step-by-step explanation:
The given expression is
We need to find the simplified form of the given expression.
Like terms: The terms which have same variables of same degree and known as like terms. For example: 2x and 4x are like terms.
The given expression can be rewritten as
On combining like terms we get
Therefore, the equivalent expression of the given expression is 7k.
(-3j²k³)²(2j²k)³ = <em>When a power is raised to a power the exponents have to be multiplied.</em>
= (-3²j⁽²*²⁾k⁽³*²⁾)(2³j⁽²*³⁾k³) = <em>We can take out the constants</em>
= (9)(8)(j⁴k⁶)(j⁶k³) = <em>We can group the same variables</em>
= 72(j⁴j⁶)(k⁶k³) = <em>When multiplying two powers that have the same base, you have to add the exponents.</em>
= 72 j⁽⁴⁺⁶⁾k⁽⁶⁺³⁾ = 72j¹⁰k⁹
Answer = 72j¹⁰k⁹
Hope this helps!