The exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72
<h3>Exponential equations</h3>
Exponential equations are inverse of logarithmic equation. The standard exponential equation is expressed as;
y = ab^x
where
a is the base
x is the exponent
b is the rate
If Jennifer has a savings account that earns interest at a rate of 3% per year. Jennifer deposits 1000 into the account, the resulting exponential equation will be:
y = 1000(1.03)^x
If y = 1500, find the value of x
1500 = 1000(1.03)^x
1.5 = 1.03^x
ln1.5 = xln1.03
x = ln1.5/ln1.03
x = 13.72
Substitute to determine the equation
y = 1000(b)^13.72
Hence the exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72
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Answer:
Step-by-step explanation:
I think you meant y = -x^n, where ^ denotes exponentiation.
If n is odd, the graph begins in Quadrant II and decreases through the origin into Quadrant IV. This is true of -x, -x^3, -x^5, and so on.
Answer:
100 and 80
Step-by-step explanation:
Let x = be the first angle
x-20 is the second angle
They are supplementary so they add to 180
x+x-20 = 180
Combine like terms
2x-20 =180
2x-20+20 =180+20
2x= 200
Divide by 2
2x/2 = 200/2
x= 100
The first angle is 100 and the second is x-20
x-20 = 100-20=80
The two angles are 100 and 80
Answer: Answer is in the step.
Step-by-step explanation:
The student made a mistake by identifying the maximum point by the x coordinate value of the vertex. Minimum or maximum points are determine using the y coordinate value.The student can determine the difference between a maximum and minimum by identifying the y coordinate of the vertex.
Answer:
Step-by-step explanation:
This is a differential equation problem most easily solved with an exponential decay equation of the form
. We know that the initial amount of salt in the tank is 28 pounds, so
C = 28. Now we just need to find k.
The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is 
. Thus, the change in the concentration of salt is found in
inflow of salt - outflow of salt
Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:
Therefore,
or just
and in terms of time,
Thus, our equation is
and filling in 16 for the number of minutes in t:
y = 24.834 pounds of salt
