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3 years ago

Directions: Answer the questions below. Make sure to show your work and justify all your answers.

Mathematics

1 answer:

AVprozaik [17]3 years ago

8 0

Answer:

a) 73.52%

b) Regular membership is growing faster

Step-by-step explanation:

a) r(t) = r0·1.047^(12t) . . . . regular members after t years, where r0 is the initial value of regular members at t=0.

Equivalently, this is ...

r(t) = r0·(1.047^12)^t ≈ r0·1.7352^t

This shows the effective annual growth rate for regular members is 73.52%.

b) The 74% yearly growth rate of regular members is higher than the 65% yearly growth rate of VIP members. Regular membership is growing faster.

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there are 3 people who work full-time and are to work together on a project but their total time on the project is to be equival

mina [271]

The problem express that the fraction of time worked by the three people need to be equivalent to one person working full time. This means that the fraction need to add up to one. We know one person works ½ time on the project and another works one third 1/3 time.

Given:

A = the amount of time that the third person needs to work on the job to add up to one

1 = ½ +1/3 + A

1 – ½ - 1/3 = A

To subtract the fractions put them all over a common denominator. Use 3 * 2 as the denominator.

1=6/6, ½ = 3/6, 1/3 = 2/6

A = 6/6 – 3/6 – 2/6

<span>A = 1/6 , The third person must work on the project</span>

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2 years ago

A student wanted to find the sum of all the even numbers from 1 to 100. He said:

murzikaleks [220]

Answer:

The statements are incorrect as: The sum of even numbers from 1 to 100(i.e. 2550) is not double\twice of the sum of odd numbers from 1 to 100(i.e. 2500).

Step-by-step explanation:

We know that sum of an Arithmetic Progression(A.P.) is given by:

where 'n' denotes the "number" of digits whose sum is to be determined, 'a' denotes the first digit of the series and '' denote last digit of the series.

Now the sum of even numbers i.e. 2+4+6+8+....+100 is given by the use of sum of the arithmetic progression since the series is an A.P. with a common difference of 2.

image with explanation

Hence, sum of even numbers from 1 to 100 is 2550.

Also the series of odd numbers is an A.P. with a common difference of 2.

sum of odd numbers from 1 to 100 is given by: 1+3+5+....+99

Hence, the sum of all the odd numbers from 1 to 100 is 2500.

Clearly the sum of even numbers from 1 to 100(i.e. 2550) is not double of the sum of odd numbers from 1 to 100(i.e. 2500).

Hence the statement is incorrect.

Step-by-step explanation:

3 0

2 years ago

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!

Phoenix [80]

Answer:

see below

Step-by-step explanation:

(x + 1.5)² - 2.25 - 28 = 0

(x + 1.5)² - 30.25 = 0

(x + 1.5)² = 30.25

5 0

2 years ago

PLEASE HELP IM GOING TO FAIL WILL GIVE BRAINLESS

Sav [38]

Give me brainless cuz I according to me it's 24

4 0

2 years ago

In the air, it had an average speed of 16 m/s In the water, it had an average speed of 3 m/s before hitting the seabed. The tota

julia-pushkina [17]

<h2>The stone fall in air for 7 seconds and fall in water for 5 seconds.</h2>

Step-by-step explanation:

Total distance to sea bed = 127 m

Let the distance traveled in air be s.

Distance traveled in water = 127 - s

Average velocity in air = 16 m/s

Average velocity in water = 3 m/s

Distance traveled in air = Average velocity in air x Time in air

s = 16 x t₁

$t_1=\frac{s}{16}$

Distance traveled in water = Average velocity in water x Time in water

127-s = 3 x t₂

$t_2=\frac{127-s}{3}$

We have total time is 12 seconds

That is

t₁ + t₂ = 12

$\frac{s}{16}+\frac{127-s}{3}=12\\\\3s+2032-16s=576\\\\13s=1456\\\\s=112m$

We have

s = 16 x t₁

112 = 16 x t₁

t₁ = 7 s

t₁ + t₂ = 12

7 + t₂ = 12

t₂ = 5 s

The stone fall in air for 7 seconds and fall in water for 5 seconds.

7 0

2 years ago