Answer:
Find the indicated sum for each geometric series.
{1875+750+300+⋯+3.072}
Answer: 3122.952
Step-by-step explanation:
{1875+750+300+⋯+3.072}
r=0.4 3.072=1875(0.4)n−1
0.0016384=(0.4)n−1
7=n−1→n=8
Sn=1875(1−(0.4)8)1−0.4=3122.952
I think is like this.
Write a system of equations:
x + y = 125
20x + 15y = 2100
Solving:
x = 125 - y
20(125 - y) + 15y = 2100
2500 - 20y + 15y = 2100
2500 - 5y = 2100
-5y = 2100 - 2500
-5y = -400
y=80
x + 80 = 125
x = 125 - 80
x = 45
The first charges 45$ per hour and the second charges 80$ per hour
X= number of nickels
3x= number of dimes
Each nickel is $0.05 and each dime is $0.10. Multiply each coins monetary value by the quantity of each. Add them equal to the total $9.10.
(0.05 * x) + (0.10 * 3x)= 9.10
multiply inside parentheses
0.05x + 0.3x= 9.10
add
0.35x= 9.10
divide both sides by 0.35x
x= 26 nickels
DIMES
3x= 3(26)= 78 dimes
CHECK:
(26 nickels * 0.05) + (78 dimes * 0.10)= 9.10
$1.30 + $7.80= $9.10
$9.10= $9.10
ANSWER: There are 26 nickels and 78 dimes.
Hope this helps! :)
Answer: (b) -7/2, 6.
Step-by-step Explanation: We put x = 0; then y = 6; y-intercept of the line is (0,6).
For the slope: 4y = 24 - 14x; then, y = (-7/2)x + 6; the slope is -7/2.
