Step-by-step explanation:
Size of Interior angle = 180° - 360°/n, where n is the number of sides of the regular polygon.
We have 180° - 360°/n = 160°.
=> 360°/n = 20°, n = 18.
Therefore it is a 18-sided regular polygon.
Donuts because I really like them
$30.75
is taxes sale total is 330.75
Answer: she will make $232.05 in 4 weeks.
Step-by-step explanation:
Since her profit is increasing by 10% each week, then the rate at which it is increasing is in geometric progression. The common ratio, r would be 110/100 = 1.1
We would apply the formula for determining the sum of n terms of a geometric progression which is expressed as
Sn = a(r^n - 1)/(r - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms(number of weeks)
From the information given,
a = 50
r = 1.1
n = 4 weeks
Therefore,
S4 = 50(1.1^4 - 1)/(1.1 - 1)
S4 = 50(1.1^4 - 1)/0.1
S4 = $232.05
Answer:
Each muffin= 1.5; Each quart of milk= 3
Step-by-step explanation:
Let m represent muffins and q quarts of milk, so
8m+2q=18
3m+1q=7.50
*solve*
3m+1q=7.5
-1q -1q
3m=-1q+7.5
/3 /3 /3
m=-1/3q+2.5
*replace for m*
8(-1/3q+2.5)+2q=18
-2 2/3q+20+2q=18
-2/3q+20=18
-20 -20
-2/3q=-2
/-2/3 /-2/3
q=3
*replace to find m*
3m+1(3)=7.50
3m+3=7.5
-3 -3
3m=4.5
/3 /3
m=1.5
*replace to verify*
8m+2q=18
8(1.5)+2(3)=18
12+6=18
18=18
3m+1q=7.50
3(1.5)+1(3)=7.5
4.5+3=7.5
7.5=7.5
