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sergij07 [2.7K]
3 years ago
6

The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x+12=48,where x represents

the cost of a. Ticket.how much is one ticket
Mathematics
1 answer:
Anna11 [10]3 years ago
3 0

Answer:

x=9; one ticket is $9

Step-by-step explanation:

4x+12=48

4x=48-12

4x=36

x=36/4

x=9

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In 2003, the annual sales at a company are $372,000. If sales are increasing at a rate
Otrada [13]

Answer:

20 years

Step-by-step explanation:

We start by writing an exponential equation;

FV = PV( 1 + r)^t

FV is the future value = 1,000,000

PV is present value = 372,000

r is rate = 5% = 5/100 = 0.05

t is time which we are looking for

1,000,000 = 372,000(1 + 0.05)^t

1.05^t = 1,000,000/372,000

1.05^t = 2.688

t ln 1.05 = ln 2.688

t = ln 2.688/ln 1.05

t = 20 years

3 0
3 years ago
What is the slope of y = -4
atroni [7]

Answer:

the slope is zero because the slope is zero

5 0
3 years ago
A 15-foot building casts a 6-foot shadow. How tall is a building that casts a 16-foot shadow at the same time of day?
xxTIMURxx [149]

Answer:

40

Step-by-step explanation:

15/6 = x/16    6x=240 divide 240 by 6 to get 40

7 0
3 years ago
Two vectors vector a and vector b have precisely equal magnitudes. in order for the magnitude of vector a + vector b to be 110 t
Anika [276]
<h3>Given</h3>

Vector A = (Vector B)×(1∠α)

|A+B| = 110×|A-B|

<h3>Find</h3>

angle α

<h3>Solution</h3>

Substituting for vector A in the given relation, we have

... |B×(1∠α) + B| = 110|B×(1∠α) -B|

Now 1∠α in polar coordinates is (cos(α), sin(α)) in rectangular coordinates.

Dividing by |B|, we have the relation between sum and difference vector magnitudes is

... √((1 +cos(α))² +sin(α)²) = 110√((cos(α) -1)² +(-sin(α))²)

Squaring both sides gives

... 1 +2cos(α) +cos(α)² +sin(α)² = 12100(1 -2cos(α) +cos(α)² +sin(α)²)

... 1 +cos(α) = 12100(1 -cos(α)) . . . . using sin²+cos²=1 and dividing by 2

And solving for cos(α) gives

... cos(α)(1+12100) = 12100 -1

... α = arccos(12099/12101) ≈ 1.0417°

The angle between the vectors is about 1.0417°.

4 0
3 years ago
Which notation is incorrect notation for the blue angle?
Crank
The answer is choice D) Angle F

Why is this not proper notation? Because there are two possible angles with point F as the vertex. If we only had triangle DFG to worry about, then we can say "angle F" without mentioning other points, and we'd know exactly what angle is being referenced. In this case, angle F could refer to either angle DFG or angle DFE. Note how F is the middle letter in each case. 
5 0
3 years ago
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