Answer:
56
Step-by-step explanation:
she ate 25% so she is left with 75%
you want to find that 25% so you do 75÷25=3
42÷3=14
25×4=100
14×4=56
she had 56 pretzels
Answer:
It is not similar]
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The red graph is the black graph translated vertically by 1 unit
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus f(x) + 1
Note
y - 1 = f(x) ← add 1 to both sides
y = f(x) + 1 ← as required
The equation of the red graph is
y - 1 = f(x) → c
Answer:
415.63 minutes
Step-by-step explanation:
Growth can be represented by the equation 
. We can find the rate at which it grows by using t=25 minutes and 
or double the amount at that time. The first step we always take is to divide 
by A.
![[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}](https://tex.z-dn.net/?f=%5Btex%5D%5Cfrac%7BA_%7B0%7D%7D%7BA%7D%3De%5E%7Brt%7D%5C%5C2%3De%5E%7Br%2825%29%7D)
To solve for r, we will take the natural log of both sides and use log rules to isolate r.
We know 
so we were able to cancel it out and divide both sides by 25.
We solve with a calculator 
We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.
The equation is 
.
We repeat the step above substituting A=5,000,000, =50, and r=0.02777. Then solve for t.
t=415.63 minutes
16 squared = 256
14 squared = 196
256 + 196 = 452.
