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Temka [501]
3 years ago
6

del and jen have a joint checking account. their balance at the beginning of October was $6238.67. During the month they made de

posits totaling d dollars, wrote checkings totaling $1459.98, payed a maintenance fee of z dollars, and earned b dollars in interest on the account. write an algebraic expression that represents the balance at the end of the month ?
Mathematics
1 answer:
dimaraw [331]3 years ago
3 0

Answer:

4778.69 +d-z+b

Step-by-step explanation:

Initial balance of the joint checking account = $6238.67

Deposits in a month gets added in the account = d dollars

Maintenance fee  is deducted in the account = z dollars

Interest on the account is added in the account balance = b dollars

Checks written also gets deducted form the account = $1459.98

Algebraic expression so formed is

6238.67 + d -z+b-1459.98

4778.69 +d-z+b

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A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 166 feet and a maximum height of 40 feet. Find
scoray [572]

Answer:

38.27775 feet

Step-by-step explanation:

The bridge has been shown in the figure.

Let the highest point of the parabolic bridge (i.e. vertex of the parabola) be at the origin, O(0,0) in the cartesian coordinate system.

As the bridge have the shape of an inverted parabola, so the standard equation, which describes the shape of the bridge is

x^2=4ay\;\cdots(i)

where a is an arbitrary constant (distance between focus and vertex of the parabola).

The span of the bridge = 166 feet and

Maximum height of the bridge= 40 feet.

The coordinate where the bridge meets the base is A(83, -40) and B(-83, -40).

There is only one constant in the equation of the parabola, so, use either of one point to find the value of a.

Putting A(83,-40) in the equation (i) we have

83^2=4a(-40)

\Rightarrow a=-43.05625

So, on putting the value of a in the equation (i), the equation of bridge is

x^2=-172.225y

From the figure, the distance from the center is measured along the x-axis, x coordinate at the distance of 10 feet is, x=\pm 10 feet, put this value in equation (i) to get the value of y.

(\pm10)^2=-172.225y

\Rightarrow y=-1.72225 feet.

The point P_1(10,-1.72225) and P_2(-10,-1.72225) represent the point on the bridge at a distance of 10 feet from its center.

The distance of these points from the x-axis is d=1.72225 feet and the distance of the base of the bridge from the x-axis is h=40 feet.

Hence, height from the base of the bridge at 10 feet from its center

= h-d

=40-1.72225=38.27775 feet.

8 0
2 years ago
A polygon has the following coordinates: A(2,-3), B(-2,3), C(2,2). What is the length of AC?
kkurt [141]

Answer:

5 units

Step-by-step explanation:

7 0
3 years ago
An armount of nitrogen undergoes a physical change and increases its volurme, What can be knoW) about this
Allushta [10]

Answer:

d

Step-by-step explanation:

8 0
3 years ago
Find x. (Finding an angle measure given extended triangles) Please help
Alja [10]
50+79=129
180-129=51
X=51

Explanations
Angles on a straight line add up to 180 degrees. So 180-101=79 degrees
50 degrees is an opposite angle so it moves into the internal angle.
Angles in a triangle add up to 180 so (180-50-79=51)
Ans is 51 I think
8 0
3 years ago
Read 2 more answers
when directed to solve a quadratic equation by completing the square, Sam arrived at the equation (x-(5/2))^2= (13/4). which equ
Tasya [4]
We have the following expression:
 (x- (5/2)) ^ 2 = (13/4)
 Let's rewrite the given expression:
 x ^ 2 - 5x + 25/4 = (13/4)
 x ^ 2 - 5x + 25/4 - 13/4 = 0
 x ^ 2 - 5x + 12/4 = 0
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 Answer:
 
the original equation given to Sam could have been:
 
x ^ 2 - 5x + 3 = 0
7 0
2 years ago
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