Answer:
$6261.61
Step-by-step explanation:
The solution to the differential equation is the exponential function ...
A(t) = 5000e^(0.0225t)
We want the account value after 10 years:
A(10) = 5000e^(0.225) = 6261.61
The value of the account after 10 years will be $6,261.61.
_____
The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).
Or, you can solve the differential equation using separation of variables:
dA/A = 0.0225dt
ln(A) = 0.0225t +C . . . . integrate
A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000
Let the number be represented by x
2x=60+ 5x -20*2=60+5*-20
2x-5x=5x-5x+60 -40=60+-100
-3x=60 -40=-40
-3x/-3=60/-3
x=-20
Therefore the number is -20
Answer:

Step-by-step explanation:
1 = ¼[8] + b
2

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so −4 becomes ¼.
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Answer:

Step-by-step explanation:
Variables and symbols:
- r = radius
- V = volume
- A = surface area
- C = circumference
- π = pi = 3.1415926535898
- √ = square root
Volume of a sphere in terms of radius:
, 
To calculate the volume of a sphere:
Usually the hardest part is measuring or estimating the diameter of the sphere. Special tools exist for smaller parts like balls in ball-bearings, but it gets more complicated if the size is large. Knowing that the diameter is the largest internal measurement you can take should help.
Once you have the measurement, to find the volume use the formula above, in which π is the well-known mathematical constant equal to about 3.14159. To adjust for a half-sphere calculation, just divide the result by two.
Spheres and half-spheres are useful in engineering and architecture due to their property of being able to take equal amounts of pressure or force from each direction.
Solution:

Round to nearest tenth: 
Answer:
5 drahms.
Step-by-step explanation:
From the question given above, the following data were obtained:
120 grains = 6 scruples
6 scruples = 2 drahms
300 grains (in drahms) =..?
From the above data,
120 grains = 6 scruples
6 scruples = 2 drahms
Therefore,
120 grains = 2 drahms
Thus, we can obtain 300 grains in drahms as follow:
120 grains = 2 drahms
Therefore,
300 grains = 300 grains × 2 drahms /120 grains
300 grains = (300 × 2)/120 drahms
300 grains = 5 drahms
Therefore, 300 grains is equivalent to 5 drahms.