Answer:
21 rabbits
Step-by-step explanation:
⇒ <u><em>Given:</em></u>
<em>There are 126 animals at the shelter. </em>
<em>Of the animals, 1/3 are cats. </em>
<em>Three fourths of the remaining animals are dogs.</em>
<u><em>To Find:</em></u>
<em>How many of the animals are rabbits? Show your work.</em>
<u><em>Solve:</em></u>
<em>Since 1/3 are cats and the total is 126.</em>
<em>Then, 1/3 of 126 is 42. {1/3 × 126 = 42}</em>
<em>Therefore, there are 42 cats. </em>
<em>3/4 of the remaining animals, which is 84 are dogs. </em>
<em>Which 3/4 of 84 is 63. { 3/4 × 84 = 63 }</em>
<em> So there are 63 dogs. </em>
<em>Now adding dogs and cats together:</em>
<em>63 + 42 = 105 animals.</em>
<em>126 {Total} - 105{cat and cats} = 21 {rabbits}</em>
<em>Hence, there are 21 rabbits.</em>
<em />
<u><em>Kavinsky</em></u>
i think the answer is contionous
Slope of the function is ,Y-intercept .
The function is with initial value,Jordan puts each week andthe amount saved by Jordan after week .
To understand the slope and y-intercept lets assign as number of weeks and as the money saved by Jordan.
Jordan is already having a sum of inside the money bank so in week the amount is can be written as in coordinate form.
SImilarly
We have and
Part A:
The function is
From point-slope form,we have slope (m)
and ,plugging the values of the points.
Y-intercept of this function is the constant term or the money of that is already inside the money bank.
We can also calculate y-intercept by arranging the function as choosing any coordinate and here is the y-intercept.
The result will be same.
Part B:
The equation <u></u> can represent the function described.
And the initial value is the <u>y-intercept </u>
Jordan puts<u> </u>in his bank each week.
After week the amount saved by Jordan ,here ,as the x-variable is the number of weeks.
Plugging the value of in where so the equation becomes
So basically the function is and the amount saved by Jordan after week .
Answer: D
g(x)=f(x-2)=8(x-2)+1=8x-16+1=8x-15
50
10 + (20x2) = 50
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above and solve for t
Simplify
Apply ln both sides
Remember that
so