Step-by-step explanation:
x = number hours dog walking
y = number hours tutoring
x + y <= 11
6x + 10y >= 80
the solution is the common area below the first line and above the second line.
the first line is above the second line (due to the y-intercept of 11 vs. 8) until the crossing point.
for the crossing point we use the regular equations :
from the first we get
x = 11 - y
using this in the second
6×(11 - y) + 10y = 80
66 - 6y + 10y = 80
4y = 14
y = 14/4 = 7/2 = 3.5
x = 11 - y = 11 - 3.5 = 7.5
so, she has to do at least 3.5 hours tutoring (and then 7.5 hours dog walking) for the minimum of $80 earning, all the way up to the maximum of 11 hours tutoring (and 0 dog walking) for $110 earning.
Each teacher should receive 108 pencils
Answer:
P = $2448.89
P ~= $2,449
He need to deposit $2,449
Step-by-step explanation:
Given:
Interest rate r= 7% = 0.07
Number of years n = 3 years
Future value that should be meet A = $3000
We need to calculate the initial investment (Principal P). Using the compound interest formula:
A = P(1+r)^n
P = A/(1+r)^n
Substituting the values of A, r, n, we have;
P = 3000/(1+0.07)^3
P = $2448.89
P ~= $2,449
Answer:
160000 kg and 8000
Step-by-step explanation:
move decimal to the right five times
move decimals to right 3 times
Answer:
84
Step-by-step explanation:
women=x
daughter=y.
x=2y.
x-21=3(y-21).
2y-21=3y-63.
42=y.
x=84.
Hope this helps plz hit the crown :D
