Answer:
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Step-by-step explanation:
Answer:
The prime factors are: 2 x 2 x 59
or Written in exponential form: 2^2 x 59^1
Step-by-step explanation:
236 ÷ 2 = 118 - No remainder! 2 is one of the factors
118 ÷ 2 = 59 - No remainder! 2 is one of the factors
59 ÷ 59 = 1 - No remainder! 59 is one of the factors
together we have the factors 2 x 2 x 59 = 236
Answer:
y=5,902,060*(.957)^t
Step-by-step explanation:
Since the original amount would be decreasing and it's an exponential one, hence the "every year", we can determine that it's an exponential decay equation.
The exponential delay equation is y=A*(1-r)^t. The y is the remaining amount, A is the original amount, r is the rate in decimal form, and t is for years. "1-r" is for decreasing rates and "1+r" is for increasing rates.
First thing we need to do is turn the rate, 4.3%, from a percentage to a decimal. You can do this by moving the decimal two places to the right, which gives you 0.043.
Now plug the numbers into the equation.
y=5,902,060*(1-0.043)^t
Simplify what's inside the parenthesis and get your final equation.
y=5,902,060*(.957)^t
X+y=70
x=2y-5
x=larger number
y=smaller number
now plug in the value of x to only have one variable in the equation...
Way to solve for y:
(2y-5)+y=70
3y-5=70
add 5 on both sides...
3y=75
divide by 3 on both sides
y=25
1st way to solve for x:
now plug in y in the original equation...
x+25=70
subtract 25 on both sides...
x=45
2nd way to solve for x:
plug in y for the second equation...
x=25(2)-5
x=50-5
x=45
answer: the two numbers are 45 and 25.
25 cubic inches because you know that every cone is a third of the volume of the cylinder with which it shares a height and base with.