Answer:
2.9 years
Step-by-step explanation:
Given that :
Half-life t1/2 = 9 years
Initial mass = I = 70 grams
A = final mass = 56 grams
t = time taken to reach final amount
Using the exponential half life relation :
A = I(0.5)^t/t1/2
56 = 70(0.5)^t/9
56/70 = 0.5^t/9
0.8 = 0.5^t/9
Log 0.8 = log 0.5^t/9
−0.096910 = −0.301029 * t/9
t/9 = 0.096910 / 0.301029
t/9 = 0.3219291
t = 0.3219291 * 9
t = 2.8973619
t = 2.9 years
The 2 angles are complementary angles and need to equal 90 degrees.
Making an equation we have:
4x-10 + x = 90 degrees
Add like tems:
4x +x = 5x
Now we have:
5x-10 = 90
Add 10 to both sides:
5x = 100
Divide both sides by 5:
x = 100/5
X = 20
Answer:
The ordered pair is a solution.
Step-by-step explanation:
Plug x = -3 and y = 0 into the 2 inequalities and see if they fit:
-2x + 2y >= 4
-2(-3) + 2(0) = 6 which is > 4 so this one fits.
y>= 2x - 6
0 >= 2*-3) - 6 = -12 which also fits.
Answer:
Let Marshall's salary be
S
m
Let Jim's salary be
S
j
Let the count in years be
n
S
m
=
$
36000
+
4000
n
S
j
=
$
51000
+
1500
n
Set
S
m
=
S
j
For convenience lets drop the $ symbol
⇒
36000
+
4000
n
=
51000
+
1500
n
Subtract
1500
n
and
36000
from both sides
4000
n
−
1500
n
=
51000
−
36000
2500
n
=
15000
Divide both sides by 2500
n
=
15000
2500
=
150
25
=
6
Step-by-step explanation:
