Answer:
You may likely be charged an Overdraft fee or amount on each of the transactions carried out by you and you will have to repay the bank the overdrawn amount.
Step-by-step explanation:
Based on the information given we were told that you opt out of an overdraft protection which means that in a situation were you have the amount of $10 in your bank account in which you carried out some transactions with your debit card such as buying lunch for the amount of $12, movie ticket for the amount of $12 and as well dinner for the amount of $15 the end result is that their is likelihood of you to be charged an overdraft fee or an overdraft amount on each of the transaction carried out by you and secondly you will also need to repay or pay back the bank for the amount of money overdrawn which is $29 calculated as :
Amount overdrawn =[($12+$12+$15)-$10]
Amount overdrawn=$39-$10
Amount overdrawn =$29
I believe the answer is
.5
Answer:
The bird will be at a ground distance of 10.04 units away.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point 
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at 
, and it's value is 
.
Equation for the height:
The height of the bird after x seconds is given by:
Which is a quadratic equation with 
.
When the bird is at its highest?
Quadratic equation with 
, and thus, at the vertex. The ground distance is the x-value of the vertex. Thus
The bird will be at a ground distance of 10.04 units away.
The value of the angle θ required in the water main for the turn from north to east is 87.40°.
According to the statement
We have to find that the value of the angle.
So, For this purpose, we know that the
An angle is created when two straight lines or rays meet at a standard endpoint.
From the given information:
a main is to be constructed with a 20% grade within the north direction and a tenth grade within the east direction.
Then
Let n = North
and e = east
Then
using vectors,
n = j + 0.20 k
e = i + 0.25 k
And the
n · e = 1x0 + 0x1 + 0.20×0.25 = 0.05
Now take magnitude then
|n|·|e| = i(1² + 0.20²)·i(1²+0.25²) = 1.105
Now,
E° = arccos((n · e)/|n|·|e|)
E° = arccos(0.05/1.105)
E° = arccos (0.0452)
E° = 87.40°
So, The value of the angle θ required in the water main for the turn from north to east is 87.40°.
Learn more about angle here
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