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zimovet [89]
3 years ago
14

The Winkler family saved $100 month from the time Sarah was born until she started college. Sarah started collage on her 18th bi

rthday. The collage that Sarah wants to attend charges $7200 tuition per year. Had her family saved enough to pay for 4 years tuition? Explain.
Mathematics
2 answers:
Vlada [557]3 years ago
5 0
4 year college Tuition: $28,800.00
Money Saved since Sarah was born: $21,600.00

So, no, her family did not save enough for college.
xenn [34]3 years ago
3 0
No! they only need 7200 for the 4th year of college. so they onlu able to pay for 3 years of college

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Please help me:<br> In the figure, what is the value of x?<br> *45<br> *60<br> *75<br> *90
Kitty [74]

Answer:

90

Step-by-step explanation:

The angle formed outside = 1/2(difference of intercepted arcs)

The large arc is 360-x and the inner arc is x

x = 1/2 (360 -x - x)

x = 1/2 (360 -2x)

Multiply each side by 2

2x = 360 -2x

Add 2x to each side

2x+2x = 360

4x= 360

Divide by 4

4x/4 = 360/4

x = 90

6 0
3 years ago
A weight suspended by a spring vibrates vertically according to the function D D given by D(t)=2sin(4π(t+18)) D ( t ) = 2 sin (
STALIN [3.7K]

Answer:

21.75 cm/s

Step-by-step explanation:

1 cm above central position means D = 1, so we plug in 1 into D(t) and find the time and which this occurs.

D(t)=2Sin (4\pi(t+18))\\1=2Sin (4\pi(t+18))\\\frac{1}{2}=Sin(4\pi t +72\pi)\\4\pi t + 72 \pi = \frac{\pi}{6}\\4\pi t = \frac{\pi}{6}-72\pi\\t=\frac{\frac{\pi}{6}-72\pi}{4\pi}

This is the time at which this occurs.

To find instantaneous rate of change, we differentiate D(t) and plug in this t we found. Remembering that d/dt (Sin t) = Cos t

D(t)=2Sin (4\pi(t+18))\\D(t)=2Sin(4\pi t + 72\pi)\\D'(t)=2Cos(4\pi t + 72\pi)(4\pi)

Now putting t:

D'(t)=2Cos(4\pi t + 72\pi)(4\pi)\\D'(\frac{\frac{\pi}{6}-72\pi}{4\pi})=2Cos(4\pi (\frac{\frac{\pi}{6}-72\pi}{4\pi}) + 72\pi)(4\pi)\\=8\pi Cos(\frac{\pi}{6})\\=21.75

Thus, the instantaneous rate would be around 21.75 cm/s

8 0
3 years ago
A table of values of a linear function is shown below.
ikadub [295]

Given:

A table of values of a linear function.

To find:

The slope, y-intercept and equation of the function.

Solution:

Take any two points on the table.

Let the points are (-1, -3) and (0, -6).

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-6-(-3)}{0-(-1)}

$m=\frac{-6+3}{0+1}

$m=\frac{-3}{1}

m = -3

Slope of the function = -3

y-intercept of the function is the point where x = 0.

In the table y = -6 when x = 0

y-intercept = -6

Equation of a line:

y = mx + c

where m is the slope and c is the y-intercept

y = -3x + (-6)

y = -3x - 6

Equation of a function is y = -3x - 6.

3 0
3 years ago
What is the distance between S and T?
mamaluj [8]

Answer:

try doing pythagoras theory of a×a+b×b=c×c

3 0
3 years ago
Read 2 more answers
HELPPP PLSSSSSSSSS and thank youuu
vitfil [10]

Answer:

Answer is The last one angle DFE

3 0
3 years ago
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