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
Juli2301 [7.4K]
3 years ago
15

A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second.

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0
The answer is A- 3.84 meters
You might be interested in
Write equation of the line below​
vodka [1.7K]

Hi there!

We are given two ordered pairs which are:

  • (0,0)
  • (5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

  • Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

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

Since we have two given points, we can substitute them in the formula.

\large{m =  \frac{4 - 0}{5 - 0} } \\  \large \boxed{m =  \frac{4}{5} }

2. Form an equation.

  • Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

\large \boxed{y = mx + b}

Where <u>m</u><u> </u><u>=</u><u> </u><u>s</u><u>l</u><u>o</u><u>p</u><u>e</u> and <u>b</u><u> </u><u>=</u><u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u>.</u> We substitute m = 4/5.

\large{y =  \frac{4}{5} x + b}

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

\large \boxed{y =  \frac{4}{5} x}

3. Answer

  • Therefore the equation of the line is y = 4x/5.
6 0
3 years ago
Find the total future amount for $500 invested at 3.35% for 4 years compounded monthly.
weeeeeb [17]

Answer:

$ 746.16

Step-by-step explanation:

MONTHLY interest = .0335/4

 4 years = 48 months

500 ( 1 + .0335/4)^48 = 746.16

7 0
2 years ago
The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with
zloy xaker [14]

The reasonable estimate of the current customer price index is 195. The option B is the correct option.

<h3>Customer price index</h3>

Customer price index is the price index which measures the weight average of price of basket of customers goods or services.

It can be given as,

\rm CPI_t=\dfrac{C_t}{C_0}\times 100

Here \rm C_t is the cost of market basket in current period and \rm C_0 is the cost of market basket in the base period.

Cost of market basket in current period is

\rm C_t=15.66+119.75+23.99+37.50\\\\C_t=196.9

Cost of market basket in 1983 is,

\rm C_0=8.85+71.25+13.95+22.7\\\\C_0=116.8

Substitute all the values in the formula

\rm CPI_t=\dfrac{C_t}{C_0}\times 100\\\\\rm CPI_t=\dfrac{196.9}{116.8}\times 100\\\\\rm CPI_t=1.685\times 100 \\\\ CPI_t=168.5\\\\\rm CPI_t= 170 \ \rm approx

Thus the value of current CPI is 168.5 which is near about the 170.

Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.

Learn more about the customer price index here;

brainly.com/question/25495502

3 0
2 years ago
What is the slope of a line perpendicular to the line whose equation is x - y = 6. Fully simplify your answer.​
Marat540 [252]

Answer:

-1

Step-by-step explanation:

first put the equation in slop int form:

y= x-6

to find the slope of a line that is perpendicular take the negative reciprical of the slope

so the answer is

-x

3 0
2 years ago
Slope of the line 8x+6y=12
Harlamova29_29 [7]
The slope

Of the line is -4/3
8 0
3 years ago
Read 2 more answers
Other questions:
  • Your elderly neighbor places a bag of corn kernels on your doorstep each morining. The first day,the bag contained 1 kernel of c
    9·1 answer
  • A cafe has 4 indoor tables and 19 outdoor tables . Each indoor table has 10 chairs, and each outdoor table has 3 chairs.How many
    5·1 answer
  • What is the perimeter of the figure in the diagram (round to three decimal places)? A) 44.471 B) 35.046 C) 32.471 D) 23.046
    14·1 answer
  • How much does mark earn at groovy grocery s if he works 20 hours ? 40 hours ? 60 hours ? When gets paid 8 an hour plus a one tim
    5·2 answers
  • If 30% of the students in your class like basketball, how many students are in your class if 6 students like
    12·2 answers
  • If a pool table measures 4 ft by 8 ft , what is the diagonal length from the bottom right pocket to the nearest tenth?
    10·1 answer
  • HURRY <br> 1/12 is the same as 1÷12. What is the exact quotient in decimal form of 1÷12?
    12·2 answers
  • Can someone help me please?
    10·2 answers
  • <img src="https://tex.z-dn.net/?f=4%20%7Bx%7D%5E%7B2%7D%20%20-%202x%20%2B%20x%20%3D%205%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20%5C%
    8·2 answers
  • #
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!