Answer: 5020
Step-by-step explanation:
10^3= 1000
1000*5.02=5020
Answer:
Sally is currently 4 years old.
Step-by-step explanation:
<em>Kaden is 18 years older than Sally now. In 5 years, Kaden will be 3 times as old as Sally. How old is Sally now?</em>
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Let Kaden's current age be and Sally's current age be . We can write the following algebraic equation using the fact that Kaden is currently 18 years older than Sally:
Next, we will use the fact that in 5 years, Kaden will be 3 times as old as Sally. If Kaden and Sally's current ages are and respectively, then their ages in 5 years will be and respectively. Therefore, we have:
We have two equations with two variables. To solve for either variable, we need to create an equation with only one variable. Therefore, let's substitute the first equation into the second:
Distribute and combine like terms:
Subtract from both sides, then subtract 15 from both sides:
Divide both sides by 2:
Therefore, Sally is currently 4 years old.
Answer: 41
Step-by-step explanation:
The horizontal line beneath the angle created is always 180 degrees. Because you are given two equations for each angle created, simply write: 180= (3x-3) +(x+19). This gives you 4x+16=180, of which you subtract 16 to 180 which gives you 164. Finally, divide both sides by 4: 4x/4=164/4 and you will get 41. Hopefully I was of aid to you.
Answer:
I don really know how to help the question isn´t stated properly
Step-by-step explanation:
Answer:
(a)
(b) There will be 1lb left after 14 hours
Step-by-step explanation:
Solving (a): The equation
Since the substance decomposes at a proportional rate, then it follows the following equation
Where
Initial Amount
rate
time
Amount at time t
Solving (b):
We have:
First, we calculate k using:
This gives:
Substitute:
Divide both sides by 4
Take natural logarithm of both sides
This gives:
Solve for k
So, we have:
To calculate the time when 1 lb will remain, we have:
So, the equation becomes
Divide both sides by 8
Take natural logarithm of both sides
Solve for t
--- approximated