An = a1 * r^(n-1)
-405 = -5*3^(n-1)
3^(n-1) = 81
3^4 = 81 so n-1 = 3 and n = 4
Sn = S4 = -5 (1 - 3^4) / ( 1 - 3) = 400 / -2 = -200 Answer
Answer:
48
Step-by-step explanation:
On either side of a line, there is an angle of 180. This means that when two lines intersect, the angles on either side will equal 180.
To solve this problem, add the two angles and set it equal to zero.
(x + 34) + (2x + 2) = 180
x + 34 + 2x + 2 = 180
3x + 36 = 180
3x = 144
x = 48
The value of x is 48.
Twice the sum of a number and 4 is 14. In this case the numbers are added first, and the ANSWER is doubled.
Answer:
nickel = 16
dimes = 32
quarters = 10
Step-by-step explanation:
Given that,
number of coins Zachery have in his piggy bank = 58
total money Zachery have in his piggy bank = $6.50
Suppose number of nickel = x
number of dimes = 2x
number of quarters = y
1 nickel = $0.05
1 dime = $0.10
1 quarter = $0.25
<h3>
Equation 1</h3>
x + 2x + y = 58
3x + y = 58
<h3>
Equation 2</h3>
x(0.05) + 2x(0.10) + y(0.25) = 6.50
0.05x + 0.2x + 0.25y = 6.50
0.25x + 0.25y = 6.50
y = 58 - 3x
<h3>
put value of y in equation 2</h3>
0.25x + 0.25(58 - 3x) = 6.50
0.25x + 14.5 - 0.75x = 6.50
-0.5x = 6.50 - 14.5
-0.5x = -8
x = 16
y = 58 - 3x
y = 58 -3(16)
y =10
number of nickel = x = 16
number of dimes = 2x = 32
number of quarters = y = 10
