Answer:
The sum of the first 5 terms is -244
Step-by-step explanation:
To calculate the sum of the geometric series, we need the first term, the common ratio and the number of terms we would like to sum.
The first term here is -4
The common ratio is T2/T1 or T3/T2 = 12/-4 = -3
number of terms n = 5
The formula to use is;
Sn = a(1-r^n)/(1-r)
Plugging these values, we have;
Sn = -4(1-(-3)^5)/(1-(-3))
Sn = -4(1+243)/4 = -1(244) = -244
900x is greater than or equal to 550x+6500. In this equation, I used x to represent the number of weeks, 900x to represent her profits, and 550x+6500 to represent her costs. Then, since 19 is the lowest integer that we can plug into the equation to keep the inequality true, it is our answer, 19 weeks.
Answer:
698 cm²
Step-by-step explanation:
The volume is given by ...
V = LWH
Filling in the given values, we have ...
1020 = (17)(5)y . . . . . . . using L=17, W=5, H=y
y = 1020/(17·5) = 12
The surface area is given by ...
A = 2(LW +H(L+W))
A = 2(17·5 +12(17+5)) = 2(85 +264) . . . . . . . using L=17, W=5, H=y=12
A = 698 . . . . square centimeters
Answer:
number 1 is 2 number 2 is 15 number 4 is 30
Step-by-step explanation:
The question is incomplete:
The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store and Market Place Store both sell plastic plates in packages of fifteen for five dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?
Answer:
-The Webster family needs to buy 7 packages.
-The cost of the plates is $41.93.
Step-by-step explanation:
To calculate amount of packages that the Webster family need to buy, you have to divide the amount of people by the number of plates in each package:
100/15= 6.66
According to this, as they will need more than 6 packages, the Webster family needs to buy 7 packages to have one plastic plate for each person at the barbecue.
Then, the cost of the plates for the barbecue would be calculated by multiplying the price of each package for the number of packages needed:
$5.99*7= $41.93
The cost of the plates is $41.93.
