Answer:
11 weeks
Step-by-step explanation:
First we need to check what variables we have.
Beginning Balance = $1000
Goal = $350
Withdrawal = $55 per week
Now let's declare a variable as the number of weeks.
Let x = number of weeks
1000 - 55x = 350
-55x = 350-1000
-55x = -650
Then we divide both sides by -55 to find the value of x.
x = 11.81 or 11 since we're looking for how many weeks in total
Now let's see if we still have 350 if we have a total of 11 as the value of x.
1000 - 55(11) = 350
1000 - 605 = 350
395 = 350
We can see that Kendall will have $395 compared to the $350 goal.
So Kendall can withdraw $55 a week for 11 weeks to still be within her goal of having $350 in her savings account.
2/3 x 5 = 3
the ratio from 4 to 20 is 5, then you multiply it by the original amount
so it's 3
Answer:
1. parental function is g(x)=√x
2. parental function is g(x)=3√x
Step-by-step explanation:
1. To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent Function: g(x)=√x
Horizontal Shift: None
Vertical Shift: Down 9 Units
Reflection about the x-axis: None
Vertical Stretch: Stretched
2. Parent Function: g(x)=3√x
Horizontal Shift: Left 5 Units
Vertical Shift: Up 3 Units
Reflection about the x-axis: Reflected
Vertical Compression: Compressed
Answer:
Suppose N is the size of a population of radioactive atoms at a given time t, and dN is the amount by which the population decreases in time dt; then the rate of change is given by the equation dN/dt = −λN, where λ is the decay constant.
Answer: Cost of tickets for adults = $22
Cost of tickets for children = $15
Total number of tickets sold = 732
Total receipts = $12,912
Let x be number of adult ticket's sold and y be the number of child ticket's sold.
Therefore, we have:
--------------- equation 1
Also, we have:
Now, let's substitute the value of x:
Now, let's substitute the value of y=456 in equation 1, we have:
Therefore, the number of child ticket's sold is 456 and number of adult ticket's sold is 276
