12q +3r =15
3(4q +r) = 3*5
Divide both sides by 3
4q +r = 5
Time for the second one:
-4q -4r = -44
-4(q +r) = (-4)*11
Divide both sides by -4
q +r = 11
4q +r = 5
q +r = 11
Subtract the second from first equation
3q 0 = -6
3q = -6
q = -6/3 = -2
q = -2
q +r = 11
-2 +r =11
r = 11 +2
r = 13
q = -2
r = 13
Your answer is...
(-2,13)
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
0
,
0
)
,
(
−
21
,
0
)
y-intercept(s):
(
0
,
0
)
Answer:
45.45 batteries
Step-by-step explanation:
The probability of any random battery being defective is 1 in 11, the number of expected defects in a population of 500 batteries is given by:

45.45 batteries are expected to be defective.
Answer:The initial values of the two functions are different, and the rates of change of the two functions are the same.
Step-by-step explanation:
The values will start out different. When you apply the rate of change, because they have the same rate of change, you don't risk them coming out with the same value if the values ended up being just right, they will always remain different.
Answer:
The Annual percentage yield is 3.25%.
Step-by-step explanation:
Given : Money invested at the rate of 3.2% compounded continuously.
To find : What's the annual percentage yield?
Solution :
Money invested at the rate of 3.2% compounded continuously.
The compounded continuously formula is

Where, P is the principal P=1
t is the time t=1
r is the interest rate r=3.2%=0.032
Substitute the value in the formula,



The Annual percentage yield is




Therefore, The Annual percentage yield is 3.25%.