Step-by-step explanation:
We can model the annual consumption of iron by the equation
c = 900 million tons x [tex]1.025^n[/tex], where
n is the number of years after 1993 and
c is the consumption for that year.
An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.
[tex]C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx[/tex]
This equation simplifies to
C = 900 million tons x (1.025^n - 1) / ln(1.025), where
x is a dummy variable and
C is the total consumption of iron n years after 1993.
Let R be the amount of iron remaining at n years after 1993, so
R = 480 billion tons - C
R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
We need to find the value of n when R is 0, so
0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
Simplify this equation to obtain
n = 107.4
So the iron will run out in the year 1993 + 107 = 2100
What is 96 divided by 7 please help is is due by midnight
Answer:
13.7142857143
Step-by-step explanation:
so just 13
How many kilometers are in 3 centimeters?
Answer:
0.00003km
....................
kilo means 1000
and centi means 1/100
What is the area of an equilateral triangle with perimeter 24 inches?
pls help me.........
Answer:
36 m^2
Step-by-step explanation:
A trapezoid's area can be found by (side 1 + side 2) * (height ÷ 2)
Answer:
tama po yan sa taas pareho kami ng sagot
Claire is building a dollhouse where 11 inch on the plans is equivalent to 55 inches on the actual dollhouse.
If the actual dollhouse is to be 60 inches tall, what will the height be on the plans?
Find m 1 and m 2 in the diagram
plz help.............
Answer: triangles are similar.
Step-by-step explanation:
Givn : OK = 3, OJ = 30, KN = 1, JM = 3#
Angle O is common in both the triangles.
Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.
That means
That means the three angles of triangle OKJ are equal to the corresponding three angles of triangle ONM.
Hence the to triangles are similar.
Solve for
x
4
x
+
6
<
2
x
+
1
Give your answer as an improper fraction in its simplest form.
Answer:
[tex] \huge \red { \boxed{ \blue{ \boxed{ \tt \: x < - \frac{5}{2} }}}}[/tex]Step-by-step explanation:
to understand thisyou need to know about:inequalityequationPEMDASgiven:[tex] \text{4x + 6 < 2x + 1}[/tex]to find:[tex] \text{x}[/tex]tips and formulas:the direction of inequality does not change
when you
Add (or subtract) a number from both sidesMultiply (or divide) both sides by a positive numberSimplify a sidethe direction of inequality does change
when you
Multiply (or divide) both sides by a negative numberSwapping left and right hand sideslet's solve:
[tex]step - 1 : define[/tex]
[tex]4x + 6 < 2x + 1[/tex]
[tex]step - 2 : solve \: for \: x[/tex]
[tex] \tt{cancel \: 6\:from \: both \: sides} \\ \tt{4x + 6 - 6 < 2x + 1 - 6} \\ \tt 4x < 2x - 5[/tex][tex] \tt cancel \: 2x \: from \: both \: sides \\ \tt 4x - 2x< 2x - 2x - 5 \\ \tt 2x < - 5[/tex][tex] \tt divide \: both \: sides \: by \: 2 \\ \tt\frac{2x}{2} < \frac{ -5 }{2} \\ \tt x < - \frac{5}{2} [/tex]Plz help I will give brainliest whoever answers first correctly
Answer:
I like your profile pic
Step-by-step explanation:
A small university has 200 first-year students. Historically at this university, 88% of first-year students graduate in four years. Assume that whether or not one student graduates is independent of whether or not another student graduates. Let X represent the number of first-year students who graduate in four years. What are the mean and standard deviation X?
Answer: c is the answer . 176, 4.60
Step-by-step explanation:
just trust me bro
Solve x 2 + 2x - 1 = 0
Answer:
x=-1/2
Step-by-step explanation:
hope this helps
Write an inequality
H is less than -2
Answer:
h < -2
Step-by-step explanation:
camille has save php 3,150.00 in the past three month.if the bike cost Php9,000.00,what percent of the cost of the bike has he saved??
Answer:
the percent of her saving to the price of the bike is 35%
Write the common factors of 12 and 16. Identify the common factors and the greatest common factor?
Answer:
In this case, the greatest common factor is 4.
Step-by-step explanation:
Consider the following set of 19 data values:
5 6 6 9 10 4 2 5 7 6 7 3 5 5 5 4 9 2 10
Round to 1 decimal for each answer if needed. If there is no mode type NONE in the answer box. If there is more than one mode, separate each value with a comma.
Mean =
Median =
Mode=
Answer:
mean = 5.4
median = 5
mode = is the number that appears the most answer = 5
Step-by-step explanation:
mean
5+6+6+9+10+4+2+5+7+6+7+3+5+5+5+4+9+2+10 = ......... / 19 = 5.4
median
2 2 3 4 4 5 5 5 5 5 6 6 6 7 7 9 9 10 10 then find the middle between these = 5
In the first quarter of 2010, U.S. advertisers spent $5.9 billion on online
advertising. In the first quarter of 2011, they spent $7.3 billion. What is the
percentage rate of growth? (Round to one percentage place.)
Answer:
$1.4 B per year
Step-by-step explanation:
Order the numbers from least to greatest.
0.462; 0.436; 0.435; 0.478
A.0.462; 0.436; 0.435; 0.478
B.0.435; 0.436; 0.462; 0.478
C.0.478; 0.462; 0.436; 0.435
D.0.436; 0.435; 0.462; 0.478
Answer:
The answer is B. 0.435,0.436,0.462,0.478
Step-by-step explanation:
:)
convert 4x+2y=-6 to slope intercept
Answer:
I love algebra anways
the ans is in the picture so are the steps how got the ans
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Fog= f(g(x))
Domain has to be (-oo,x)U(x,oo)
why every comment but don't
Answer:
thanks
Step-by-step explanation:
Please help! it’s angles again
Answer:
115-2*180
= 245
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
there are 2 triangles so the angles in all add up to 360. (108*2) then you subtract all the known angles.
Anna has fabric that is 1/4 yard long. She needs to cut the fabric into pieces that are 1/8 yard long. How many 1/8 yard long pieces will she have
Answer:
2
Step-by-step explanation:
1/4= .25
1/8= .125
so 1/4÷ 1/8=2
CAN SOMEONE PLEASE HELP ME WITH THIS!!!
Answer:
the photo is black..i cant see the question...
Step-by-step explanation:
Answer:
ok, but there's nothing on the screen, I think you linked the wrong document.
Step-by-step explanation:
jenny had to sort 24 beads. twice of the beads are red and the other is green
Answer:
So the answer is 22 are red
Step-by-step explanation:
24-2=22 red bread
have a great day!!!
y
is directly proportional to
x
2
.
If
y
=
20
when
x
=
2
find
x
when y=45
Answer:
x=4.5
Step-by-step explanation:
so when y=20 and x=2, y is 10 times x so, 45/10=4.5
Answer:
3
Step-by-step explanation:
i said by accident but hegarty says it's right
Which equation represents a line which is parallel to the line
y= 2x – 8?
Answer: y=2x
Step-by-step explanation:
Do you like penguins? btw does 1-5=3
Answer:
I like looking and drawing a penguins
Step-by-step explanation:
And no 1-5 is not 3, it is -4
Give one verbal expression (VE) and its equivalent algebraic expression (AE).
Example: VE: my age increased by half the age of Ellie AE: x + 1/2y
Answer:
A few examples:
VE: Three more than two times the temperature.
AE: 2x+3
VE: The money I have decreased by two thirds of the money you have.
AE: x - (2/3)y
VE: The number of friends I have increased by four times the amount of friends you have.
AE: x + 4y
Let me know if this helps!
For each expression, use a property to write an equivalent expression. Tell which property you used.
1. (ab)c =
2. 3y + 4y =
3. 6 x 7 =
Answer:
1. is the answer
Step-by-step explanation:
Because i did the test
Graph y > - 3/4x + 3
Answer:
Here's what the graph would look like:
You just graph it like a normal line, but make sure the line is dashed because you are looking for all greater values, not greater than or equal to.
Shade the area above the line because it is greater.