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
ahrayia [7]
3 years ago
8

The number of passengers using a railway fell from 190,205 to 174,989 during a 5-year period. Find the annual percentage decreas

e over this period.
Mathematics
1 answer:
lakkis [162]3 years ago
5 0

Answer:

1.65%

Step-by-step explanation:

We will assume the percentage was the same over the 5 years. The number of passengers using a railway is expressed by the formula

                           P(t)  = P_{o}(1 - r)^{t}

Where

P(t) is the number of passengers after 5 years

                  P(t) = 174,989

P₀ is the number of the passengers at the beginning of the period

                 P₀ = 190,205

r is the rate in percentage    r  = ?

t is time duration    t = 5 years

Substituting these given values into the formula,

                 174,989 = 190,205(1 - r)^{5}

                 (1 - r)^{5} = \frac {174,989}{190,205}

                 1 - r = \sqrt[5]{ \frac {174,989}{190,205}}

                 1 - r = \sqrt[5]{0.920}

                 1 - r = 0.9835

                 r = 1 - 0.9835

                 r = 0.0165

                r = 1.65%

The annual percentage decrease over the period of 5 years is 1.65%

You might be interested in
Mary has 1/4 of a tank of gas.A quarter or a tank is equal to 5 gallons how many gallons does her tank hold
Naddika [18.5K]

20 gallons

5 times 4 is 20

Hope this helps and have a great day!

7 0
3 years ago
an NFL team kicker misses 2 out of every 11 field goals if he missed 8 filed goals throughout the season how many did he attempt
Aleks [24]
For this equation, you want to do it in fractions/ratios to properly solve it. You would have his average misses out of every field goal and his real missed attempts over total. It would look like this

\frac{2}{11}  =   \frac{8}{x}

You want to solve for x since x is the total amount of field goals that he attempted. You can do this by doing cross multiplication:

(2)(x) = (8)(11)

From here you can get:

2x = 88

Divide each side by 2 to isolate x and you get:

x=  44

So he made a total of 44 field goals.
3 0
3 years ago
Read 2 more answers
A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinn
Ad libitum [116K]

Answer:

i think d he looks smart

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A bag contains red, green, and yellow marbles. The probability of selecting a red marble is 35%. What is the probability of not
KonstantinChe [14]

Probablity of selecting a red marble= 35%

Probablity of not selecting a red marble= 100%-35%

=65%

Hope it helps you. Please mark brainliest.

6 0
2 years ago
Which of the following graphs are identical
Lady bird [3.3K]

Answer:

The domain is x ≥ -7

Step-by-step explanation:

The domain asks what values can x take

We know that the sqrt(x+7) must be ≥ 0

That means the smallest value it can be is zero

x+7 ≥ 0

x ≥ -7

The domain is x ≥ -7

5 0
3 years ago
Other questions:
  • Please help!!!!!!!! One student drew a square, Another student drew a rhombus that was not a square. Select the three properties
    8·2 answers
  • I don't understand. Please help answer questions!!!!!!
    7·1 answer
  • Please help,
    15·1 answer
  • Which equation is NOT equivalent to p – 7 = 22? Select all that apply.<br> please help
    15·1 answer
  • A ramp was constructed to load a truck. If the ramp is 10 feet long and the horizontal distance from the bottom of the ramp to t
    12·2 answers
  • 3/4 * 2 =<br><br> Answer is 1 1/2 correct?
    10·2 answers
  • Order -5,-7,0, and 4 from least to greatest
    9·2 answers
  • F(x)=x2
    6·2 answers
  • What the answer plzzhelppp
    12·1 answer
  • X squared -11 X +24 equals zero
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!