Answer:
-197.2
Step-by-step explanation:
Since it is arithmetic series, first find the difference d between the two know series.
3.8 - 6 = - 2.2
d = -2.2
a = 6
Tn = -29.2
Looking for the n term, use the linear method.
Tn = a+( n - 1)d
Substitute all the parameters
-29.2 = 6+( n - 1 ) -2.2
-29.2 = 6 - 2.2n + 2.2
- 29.2 = 8.2 - 2.2n
-29.2 - 8.2 = - 2.2n
-37.4 = -2.2n
n = 37.4/ 2.2
n = 17 terms.
To Find the exact sum of the arithmetic series, use the sum formula below
Sm = n/2( 2a + (n - 1)d)
Sm = 17/2( 2 × 6 + ( 17 - 1 ) -2.2
Sm = 17/2(12 - 35.2)
Sm = 8.5( - 23.2)
Sm = - 197.2
Therefore, the exact sum of the arithmetic series is -197.2
To calculate the percentage increase:
First: Find out the difference (increase) between the two numbers you are comparing.
It is computed by: Increase = New Number - Original Number
Second: Divide the increase by the original number and multiply the answer by 100.
It is computed by: % increase = Increase ÷ Original Number × 100.
So in the problem:
First step:Increase = 1000 – 100
Increase = 900
Second:
% increase = 900 / 100 x 100%
increase = 900% increase
Answer:
8+x=14 x=6, 14-8=x x=6
Step-by-step explanation:
x is the answer and what you're solving. The two equations I wrote are the simplest.
:)
Answer:
-1 1/3
Step-by-step explanation:
Convert any mixed numbers to fractions. New equation:
5/2 ÷ −15/8
Fraction division formula:
5x8/2x-15 = 40/-30
Convert:
-1 1/3
so subject 5 from 13. which gives you -2x=8 and then divide -2 by 8 which is -4. so x=-4 is your answer.
ANSWER: X=-4
