1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kari74 [83]
3 years ago
7

Please help and thank you. ​

Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0

Answer:

4.

  • 400 ft elevation at 1 km and 3 km from the start
  • 300 ft/km average rate of change over the first 4 km

5.

  • length = 3.5 cm
  • width = 3.5 cm
  • height = 7.0 cm

6.

  • 6 mo: $1018.14
  • 5 yrs: $1196.89
  • avg incr: $3.28 per month

Step-by-step explanation:

<h3>4.</h3>

A graphing calculator is handy for solving problems involving cubic polynomials. You're interested in where the elevation is 400 ft. Since the value of f(x) is in hundreds of feet, you want to find x such that f(x) = 4.

Values of x where that is the case are x=1 and x=3, representing distances of 1 km and 3 km from the start of the road.

The average rate of change of elevation is the difference in elevation divided by the difference in distance from the start:

  average rate of change = (f(4) -f(0) hundred ft)/((4 - 0) km)

  = (19 -7)/4 hundred feet/km

  = 12/4  hundred feet/km = 300 ft/km

___

<h3>5.</h3>

You want to find x when ...

  A(x) = 122.5 cm²

  10x² = 122.5 cm² . . . . substitute the given expression for A(x)

  x² = 12.25 cm² . . . . . . divide by 10

  x = √(12.25 cm²) = 3.5 cm . . . . take the square root

The diagram tells you ...

  length = width = x = 3.5 cm

  height = 2x = 7.0 cm

___

<h3>6.</h3>

Evaluate the given expression for the different values of m:

  $1000·1.003^6 ≈ $1018.14 . . . . 6-month value

  $1000·1.003^60 ≈ $1196.89 . . . . 5-year value

The increase is $1196.89 -1000.00 = $196.89. That increase took place over 60 months, so the average increase per month is ...

  $196.89/(60 mo) ≈ $3.28 per mo . . . . average per month over 5 years

You might be interested in
Solve the following
andre [41]
I got 5 for the first one and 4 for the second one
7 0
3 years ago
Read 2 more answers
Christopher bought a new watch at the store when they were having a 30% off sale.If the regular price of the watch was $48, how
solong [7]

Answer:

30 \div 100 \times 48 = 14.4 \\ 48 - 14.4 = 33.6

therefore Christopher paid $ 33.6

5 0
2 years ago
Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}}
Butoxors [25]

Answer:

the exact answer is 1.98

if we rationalize denominator we get root 0f 10 times pi divided by 5

root of 10 is about 3.1 (\pi) so we have \frac{\pi  ^{2} }{5} ≈ 9.6/5 = 1.92

Step-by-step explanation:

\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}} = \frac{\sqrt{10} \pi }{5}

3 0
3 years ago
There are three colored cookie jars. One jar is blue, another green and the last one pink. The blue jar contains 10 chocolate ch
Leto [7]

Answer:

hmmm sorry I wish I could help man or girl. just try your best you'll get there I promise you that.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Remi invests £600 for 5 years in a savings account.
Daniel [21]

Answer:

225600

Step-by-step explanation:

Simple interest formula:

A = P(1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

So...

A = 600(1 +(75 x 5) )

75 x 5 = 375

1 + 375 = 376

600 x 376 = 225600

A = 225600

6 0
3 years ago
Other questions:
  • The graph of the equation y = x2 + 1 is shown. Which equation will shift the graph up 7 units?
    11·2 answers
  • Does anyone know this? <br> Pls help ASAP !
    14·1 answer
  • Write an equation bassing through the boint and perpendicular to thr given line.
    6·1 answer
  • Please help me,i am so confused!!!???
    14·1 answer
  • Please help me answer the middle question please and thank you
    12·2 answers
  • If x = 45, y = 63, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answ
    13·1 answer
  • Your firm needs $630 for one quarter to finance a deficit. Interest charges are 2% per quarter. Your bank
    13·2 answers
  • Which interval describes where the graph of the function is positive?
    5·1 answer
  • Key<br> X<br> = -X<br> = 1 = -1<br> Which equation could represent the model?
    12·1 answer
  • The volume of a cylinder is 5401 cubic meters and the height is 15 meters. Find the length of the diameter of the cylinder.​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!