<u>Answer:</u>
a(n) = 130 + (n-1) 13
13th term = 286
<u>Step-by-step explanation:</u>
We are given a sequence of numbers: 130, 143, 156, 169, ... and we are to write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.
We know that the arithmetic sequence can be defined by:
where 
= the common difference between consecutive terms ; and
=
<u>13th term:</u>
Therefore, the formula for this sequence will be a(n) = 130 + (n-1) 13 and 13th term is 286.
Answer:
$82.16
Step-by-step explanation:
78.25 * .20 = 15.65 as a tip,
78.25 *.15 = 11.74 as the discount, subtract from initial value:
78.25 - 11.74 = 66.51
then add the tip: 15.65 + 66.51 = $82.16
Sum of all angles in a triangle must equal 180
so
180 - (30 + 50)
= 180 - 80
= 100
answer:
third angle = 100
See the attached figure
===========================
<span>After
3 days, the total number of belts sold will be the same as the total
number of wallets sold. The number of belts and the number of wallets
Mr. Matthew sold after this many days is
27.
</span>
======================================================
Explanation of the answer:
<span>The equation that represents the number of belts sold = 3^x ⇒⇒⇒ blue graph
</span>
<span>The equation that represents the number of wallets sold = 4x+15 ⇒⇒⇒ red graph
</span>
The point of intersection represents <span>the total number of belts sold will be the same as the total number of wallets sold.</span>
Figure out the length of the rectangle by using the diameter of the 2 circles added together then work out the width by using the diameter of one circle (since the vertical diameter will be the same length as the width if that makes sense)
