The first five terms of the sequence are; 4,600, 4,550, 4,500, 4,450, 4,400 and the total predicted number of sold cars for the first year is 51,900 cars
<h3>Arithmetic sequence</h3>
- First month, a = 4,600 cars
- Common difference, d = -50 cars
First five terms;
a = 4,600
a + d = 4600 + (-50)
= 4600 - 50
= 4,550
a + 2d
= 4600 + 2(-50)
= 4600 - 100
= 4,500
a + 3d
= 4,600 + 3(-50)
= 4,600 - 150
= 4,450
a + 4d
= 4600 + 4(-50)
= 4,600 - 200
= 4,400
cars predicted for the twelfth month.
a + 11d
= 4600 + 11(-50)
= 4600 + 550
= 4,050
Total predicted number of sold cars for the first year:
Sn = n/2{2a + (n - 1)d }
= 12/2{2×4600 + (12-1)-50}
= 6{9200 + 11(-50)}
= 6(9,200 - 550)
= 6(8,650)
= 51,900 cars
Learn more about arithmetic sequence:
brainly.com/question/6561461
#SPJ1
Answer:
x=20
y=70/3 which is about 23.3
Step-by-step explanation:
Write a proportion of all similar sides
Step-by-step explanation:
2 gallons... dude just divide by 2, are you sure this is high school math?
Answer:
Step-by-step explanation:
A company manufactures two types of fishing rods, standard and folding. The cost of manufacturing 2 folding rods and 1 standard is $35. If 5 standard and 7 folding rods were manufactured, the cost would be $145. How much does it cost to manufacture each type of rod.
let S = standar rod
F= folding rod
2F + S =35
2F + S -2F =35 - 2F
or S = 35-2F
7F + 5S =145
7F + 5S -7F =145 -7F
or 5S =145-7F
Since S=35-2F
5S = 5X (35-2F)
5S = 175 -10F
which equals 145-7F
175-10F = 145-7F
175-10F +10F = 145 -7F + 10F
175 = 145 +3F
175 -145 =145 -145 + 3F
30 = 3F
F = 10
but S =35 - 2F
so S = 35 -2X10
S = 35-20 =15
check:
if F = 10 and S = 15
then 5S +7F should equal 145
5X15 + 7X10 = 75 + 10 =145
so F=10, S=15
