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
KIM [24]
3 years ago
13

1) Suppose you put money into two different bank accounts. In account #1 you deposit $500 and you will be earning 6% interest co

mpounded quarterly. In account #2 you deposit $600 and you will be earning 5% interest compounded annually. Which statement below best describes the relationship between the amount in Account #1 and Account #2 after 10 years have passed? Assume that during these years you do not withdraw any money.
a) Account #1 will have approximately $397 less than Account #2
b) Account #1 will have approximately $82 more than Account #2
c) Account #1 will have approximately $70 less than Account #2
d) Account #1 and Account #2 will have approximately the same amount of money in them.

2) In a single-elimination tournament, half of the remaining teams are eliminated in each round. If the tournament starts with 128 teams, how many teams will be left after 5 rounds?
a) 16 teams
b) 12 teams
c) 8 teams
d) 4 teams
Thank you!
Mathematics
2 answers:
Elis [28]3 years ago
6 0
The answer for number 1 is D they will have the same amount of money.

Hoochie [10]3 years ago
3 0

To question 1:

The answer will be <em>C</em>.

  • I got this from the comment section on the other answer posted here.

To question 2:

The answer is <em>D</em>.

  • I figured this out by putting it into a table on the website Desmos.

You might be interested in
Tim has two spinners , spinnerA and spinner B. Each spinner can only land on red or blue . The probability that spinner A will l
Ganezh [65]

Answer:

52

Step-by-step explanation:

<u>Spinner A</u>

  • Probability of red = 0.5,
  • Probability of blue = 0.5

<u>Spinner B</u>

  • Probability of red = 0.6,
  • Probability of blue = 0.4

<u>Probability of both A and B land on red: </u>

  • 0.5*0.6= 0.3

<u>Number of attempts to get outcome of 84 red on both spinners is:</u>

  • 84/0.3= 260

<u>Probability of both spinners land on blue:</u>

  • 0.5*0.4= 0.2

<u>Estimated number of both spinners land on blue:</u>

  • 260*0.2= 52  
4 0
3 years ago
Justine earned $28,000 during the first year of her job at city hall. After each year she received a 6% raise. Find her total ea
Verdich [7]

Answer:

$ 157838.60  in 5 years

Step-by-step explanation:

r = 1.06

sum of geometric seq =  a1 ( 1-r^n)/(1-r)    n = 5

                                        28000 ( 1 - 1.06^5) / ( 1-1.06) = 157838.60

5 0
2 years ago
Would appreciate some help with this:<br><br> Verify (sinq+cosq)^2 - 1 = sin2q
Phantasy [73]

Hello from MrBillDoesMath!

Answer:

See Discussion below

Discussion:

(sinq + cosq)^2 =                                     => (a +b)^2 = a^2 + 2ab + b^2

(sinq)^2 + (cosq)^2 + 2 sinq* cosq        => as (sinx)^2 + (cosx)^2 = 1

1 + 2 sinq*cosq              (*)


Setting a = b = q in the trig identity:

sin(a+b) = sina*cosb + cosa*sinb                      

sin(2q) =                      (**)

sinq*cosq + cosq*sinq      => as both terms are identical

2 sinq*cosq


Combining (*) and (**)

(sinq + cosq)^2 = 1 + 2sinq*cosq     => (**) 2sinq*cosq =  sqin(2q)

                          = 1 +  sin(2q)

Hence

(sinq + cosq)^2  = 1 +  sin(2q)            => subtracting 1 from both sides

(sinq + cosq)^2  - 1 =   sin(2q)  

The last statement is what we are trying to prove.



Thank you,

MrB

7 0
3 years ago
We call a number peachy if every digit in the number is either a 3 or next to a $3.$ For example, the numbers 333, 83, 303 and 3
Kobotan [32]

Answer:

18

Step-by-step explanation:

33-1

3r-9

r3-8

r means random digit

9+8+1=19

7 0
3 years ago
Find the equation of the line that passes through point (6, 1) with the x-intercept of 2.
34kurt

<u>Answer:</u>

○ y = \frac{1}{4}x - \frac{1}{2}

<u>Step-by-step explanation:</u>

To find the equation of the line, let's first consider the points whose coordinates we have been given:

• (6, 1)

• (2, 0).

The point (2, 0) is what is called the x-intercept, which is the point where the line crosses the x-axis. This means that at this point, the y-coordinate of the line is 0.

Next, let's calculate the slope (gradient) of the line using the formula:

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

where:

m = gradient,

(x_2, y_2) and (x_1, x_2) = points on the line.

Using the formula:

m = \frac{1 - 0}{6 - 2}

⇒ m =\bf \frac{1}{4}

Finally, now that we have two points on the line as well as the line's slope, we can use the following formula to find the equation of the line:

\boxed{y - y_1 = m(x - x_1)}

You can use any of the points on the line as y_1 and x_1.

Using (2, 0):

y - 0 = \frac{1}{4}( x - 2)

⇒ y = \frac{1}{4}x - \frac{1}{2}

Therefore the equation of the line is y = \frac{1}{4}x - \frac{1}{2}.

Learn more about point-slope form at:

brainly.com/question/15143525

6 0
2 years ago
Other questions:
  • An engineer on the ground is looking at the top of a building. The angle of elevation to the top of the building is 22°. The eng
    5·2 answers
  • Please answer ASAP!!!
    13·2 answers
  • Please help! I do not understand!
    11·1 answer
  • D^2 - 4d = 3d Solve each equation. Factor and use the zero product property to solve. Show all work algebraically.
    14·1 answer
  • Suppose a shipment of 170 electronic components contains 3 defective components. to determine whether the shipment should be​ ac
    9·1 answer
  • Which situation can be represented by Y= 12x - 4?​
    12·2 answers
  • What is the value of b? <br> -1 = b +(-11)
    11·2 answers
  • Classify the following triangle. Check all that apply
    6·2 answers
  • Describe and correct the error in finding the value of x.
    12·1 answer
  • Figure ABCD is transformed to obtain figure A′B′C′D′:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!