The formula for compound interest is:
A=P(1+r/n)^(nt)
Where A represents the amount of money in the account after t years, P is the principal (investment), n is the number of compoundings per year, and r is the interest rate in decimal form.
P=11,100
r=.031
n=12 (monthly)
t=19
A=11,100(1+.031/12)^(12*19)
A=11,100(1+. 002583)^(228)
A=11,100(1.002583)^(228)
A=11,100(1.80082)
A=$19,989.10
Answer:
25%
Step-by-step explanation:
The number of people who went to the local swimming pool in the;
first week = 1120
second week ( 105 fewer people) = 1120 - 105 = 1015
third week (135 more people) = 1015 + 135 = 1150
fourth week (310 fewer people|) = 1150 - 310 = 840
The percent decrease in the number of people who went to the pool over these four weeks
= (1120 - 840)/1120 * 100%
= 280/1120 * 100%
= 1/4 * 100%
= 25%
It means that the number of people who went to the local swimming pool over the 4 weeks decreased by 25%
Answer:
the equation of the axis of symmetry is 
Step-by-step explanation:
Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: 
, being that constant the very x-coordinate of the vertex.
So we use for that the fact that the x position of the vertex of a parabola of the general form: 
, is given by:
which in our case becomes:
Then, the equation of the axis of symmetry for this parabola is:
Answer: The net change to her banking account balance is $83.22.
Step-by-step explanation:
Hi to answer this question we have to analyze the information given:
She spent $36.50 plus 8% tax. ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)
36.50 x (8/100) =$2.92 (value of tax)
Adding to the original cost
36.50+2.92 = $39.42
Then, she spent $25 to refuel her car at the gas station.
39.42 +25 = $64.42
She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase
23.50 x (20/100) = 4.7 (amount of discount)
Subtracting to the purchase
23.50 -4.7= $18.8
Finally, adding to the total cost.
64.42 +18.8 = $83.22
Answer:
Step-by-step explanation:
For ellipses, the length of the major axis is represents as:
Major axis = 
where 
is called the semi-major axis.
In this case since the major axis is equal to 10 units:
solving for the semi-major axis :
and also the minor axis of an ellipse is represented as:
Minor axis = 
where 
is called the semi-minor axis.
Since the minor axis has a length of 8 units:
solving for b:
Now we can use the equation for an ellipse centered at the origin (0,0):
and substituting the values for and :
and finall we simplify the expression to get the equation of the ellipse:
