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
nalin [4]
2 years ago
11

Angelina wins money in a competition. She is given the choice as to how she is paid.

Mathematics
1 answer:
NISA [10]2 years ago
8 0

Answer:

  • Choice 1
  • 20 days

Step-by-step explanation:

You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.

__

<h3>a)</h3>

Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.

__

<h3>c)</h3>

For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...

  Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r

We want to find n such that ...

  Sn ≥ 1,000,000

  1 × (2^n -1)/(2 -1) ≥ 1,000,000

  2^n ≥ 1,000,001 . . . . add 1

  n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm

  n ≥ 19.93

The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.

You might be interested in
Help me give thanks comment and brainliest
horrorfan [7]

Answer:

2 Ounces

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP THIS IS THE LAST QUESTION AND I WANT TO GO TO BED. PLEASE EXPLAIN SO I CAN DO IT FOR NEXT TIME AS WELL
rewona [7]
15+70+45=130 :)) that’s how u calculate the perimeter just add them all together.
7 0
3 years ago
Given M is the midpoint ABA. The coordinate of A are (-4,2) and the cordinates of M are (1,1). Find the coordinate of B. Choose
4vir4ik [10]

Answer:

The coordinate of B is (6,0)

Step-by-step explanation:

Given;

coordinate of A = (-4,2) = (x₁, y₁)

coordinate of M = (1,1)

let coordinate of B = (x₂, y₂)

Mid-point is given by;

M = \frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\M= (1,1)\\\\1,1 =\frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\ \frac{X_1 + X_2}{2}  = 1 ----equation (1)\\\\\frac{Y_1 + Y_2}{2} = 1 -----equation(2)\\\\Solving \ equation(1)\\\\\frac{-4+ X_2}{2}  = 1\\\\-4+ X_2 = 2\\\\X_2 = 2+4\\\\X_2 = 6\\\\Solving \ equation(2)\\\\\frac{Y_1 + Y_2}{2} = 1\\\\\frac{2+ Y_2}{2} = 1\\\\2+Y_2 = 2\\\\Y_2 = 2-2\\\\Y_2 = 0\\\\B = (X_2, \ Y_2)\\\\B = (6, \ 0)

Therefore, the coordinate of B is (6,0)

5 0
3 years ago
Solve for X <img src="https://tex.z-dn.net/?f=5%2B7x%3D40" id="TexFormula1" title="5+7x=40" alt="5+7x=40" align="absmiddle" clas
Musya8 [376]

Answer:

x = 5

Step-by-step explanation:

To solve, first subtract 5 from each side:

5 + 7x = 40

7x = 35

Then divide each side by 7:

x = 5

5 0
2 years ago
Read 2 more answers
Find the arc length of the partial circle.
kodGreya [7K]

Answer:

Arc length of the partial circle = 3π units

Step-by-step explanation:

Given question is incomplete; please find the complete question attached.

Formula for the arc length of a circle = \frac{\theta}{360^\circ}(2\pi r)

Here θ is the angle formed by the sector at the center.

Angle that is formed at the center of the circle is = 360° - 90°

= 270°

So, length of the arc = \frac{270}{360}(2\pi)(2)

                                  = 3π

Therefore, length of the given partial circle is 3π units.

4 0
3 years ago
Read 2 more answers
Other questions:
  • ANSWER ASAPPP PLEASEEEEEE
    5·1 answer
  • 4.75gallons equals how many pints
    8·2 answers
  • Angle θ is in standard position. if sin(θ) = − 1/3, and π &lt; θ &lt; 3π/2 , find cos(θ).
    15·2 answers
  • g Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 7yi + xzj + (
    14·1 answer
  • class of 24 students 7/8 are allowed to attend recess on Friday how many students will be allowed to attend recess
    14·2 answers
  • Everyone buying a pizza at JR's pizzeria gets a card that conceals either a J or an R. When the waxcovering is rubbed off, the c
    9·1 answer
  • If f(x)=-3x-2, find each value.<br> 1. f(3)
    11·1 answer
  • In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the
    8·1 answer
  • Name all possible transversals of lines m and n in the picture below​
    11·1 answer
  • ∠1 ​and ∠2 are supplementary angles.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!