[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000e^{0.08\cdot 4}\implies A=2000e^{0.32}\implies \boxed{A\approx 2754.26}[/tex]
Evaluate. (2a−1/3)÷b/15 when a=−4/5 and b=−2.25 Enter your answer as a simplified mixed number in the box.
At State College last term, 63 of the students in a Physics course earned As, 85
earned Bs, 123 got Cs, 84 were issued Ds, and 64 failed the course. If this grade
distribution was graphed on a pie chart, how many degrees would be used to indicate
the B region?
Answer:
a
Step-by-step explanation:
Sarah had a party and ordered pizzas for everyone to share. If she bought 5 pizzas for $62.50, how much did each pizza cost? 12.50,312.50,13.50,15.62
Answer:
12.50
Step-by-step explanation:
12.50
SOMEONE please help me!!!!!!!!!!!
Answer:
First is death valley it goes on the bottom, next is New Orleans its after death valley, Next is Washington it goes in the middle, next is Dublin its after Washington, Lastly is Paris it goes on the top
Step-by-step explanation:
2/3 cup of juice for every 1/3 cup of oj. How many cups of juice is used for 1 cup of OJ
[tex]\begin{array}{ccll} Juice&OJ\\ \cline{1-2} \frac{2}{3}&\frac{1}{3}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{~~\frac{1}{3} ~~}{1}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{1}{3}\implies \cfrac{~~ \frac{2}{3}~~}{\frac{x}{1}}=\cfrac{1}{3} \\\\\\ \cfrac{2}{3x}=\cfrac{1}{3}\implies 6=3x\implies \cfrac{6}{3}=x\implies 2=x[/tex]
Two trains leave towns 566 kilometers apart at the same time and travel toward each other. One train travels 11 km/h slower than the other. If they meet in 2 hours, what is the rate of each train?
Answer:
The speeds are 74 mph and 87 mph.
Step-by-step explanation:
Let x = speed of slower train
x + 13 = speed of faster train
The trains meet when the sum of the distances = 483
3x + 3(x+13) = 483
6x + 39 = 483
6x = 444
x = 74 mph
The speeds are 74 mph and 87 mph.
Question 2
Which statement best explains
why the sum of the areas of the
two white squares in Figure 2 is
the same as the area of the white
square in Figure 1?
The combined area of the four triangles is equal to the area of the large white
square.
In each triangle, the length of side a plus the length of side b equals the length
of side c. That means that a? + b2 = c?.
In each figure the total area is equal and the area of the 4 triangles is equal, so
the remaining white area in each figure must also be equal.
Answer:
the third option
Step-by-step explanation:
that is actually the proof for Pythagoras :
both squares have the total area of (a + b)².
each of the triangles (4 in figure 1, 4 in figure 2) has the same area as the others : a×b/2
so, for figure 1
(a + b)² = 4×a×b/2 + c² = 2×a×b + c²
and for figure 2
(a + b)² = 4×a×b/2 + a² + b² = 2×a×b + a² + b²
2×a×b + c² = 2×a×b + a² + b²
c² = a² + b²
Element present in a sucrose molecule
Answer:
Carbon, hydrogen and oxygen
Step-by-step explanation:
Hope it can help you lovelots
❗❗CORRECT ANSWER+EXPLANATION=BRAINLIEST❗❗
Simplify: (question in the pic)
The simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]
Functions and equationGiven the following function as shown:
[tex]f(x)=\frac{x^2-9}{x^2-3x}[/tex]
This can be factorized as:
[tex]f(x)=\frac{x^2-3^2}{x(x-3)}\\f(x)= \frac{(x+3)(x-3)}{x(x-3)} \\[/tex]
Cancel out the common terms:
[tex]f(x) = \frac{x+3}{x}[/tex]
Hence the simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]\
Learn more on functions here: https://brainly.com/question/10439235
Hi Phoenix! :)
I'm much late lol.
Answer:
[tex]\boxed{ \cfrac{x + 3}{x}} [/tex]
Step-by-step explanation:
Given:
[tex] \cfrac{x {}^{2} - 9}{x {}^{2} - 3x } [/tex]
Solution:
[Here the best option is to factorise the expression.]
Rewrite the numerator of the expression as
[tex] \cfrac{x {}^{2} - 3 {}^{2} }{x {}^{2} - 3x} [/tex]
It can be seen that the numerator is like an algebraic identity:
> a² - b² = (a+b)(a-b)
ATP, numerator : a = x² and b = 3²
[tex] \cfrac{(x + 3)(x - 3)}{ {x}^{2} - 3x} [/tex]Now in the denominator take x common:
[tex] \cfrac{(x + 3)(x - 3)}{x(x - 3)} [/tex](x-3) in the denominator and (x-3) in the numerator gets canceled.
[tex] \cfrac{(x + 3) \cancel{(x - 3)}}{x \cancel{(x - 3)}} [/tex][tex] \boxed{\cfrac{x + 3}{x} }[/tex]Welp,Done, that's it! :D
Covert fractions to percents
3/8=__
Answer: [tex]\frac{3}{8}[/tex] = 37.5%
Step-by-step explanation:
Convert the fraction into a percentage.
[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]
Solve for x:
[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]
3 × 100 = 300300 ÷ 8 = 37.5x = [tex]\frac{37.5}{100}[/tex] = 37.5%
Answer:
Now we can see that our fraction is 37.5/100, which means that 3/8 as a percentage is 37.5%.
Step-by-step explanation:
There were 5 times the number of students in ninth grade at the soccer game. How many students attended the soccer game? It dosent tell me the previous number and it only gave me one.
Answer
I think it is 25
Step-by-step explanation:
5 x 5 = 25 I think
Answer:
We’ll you can not physically or mentally get a answer
Step-by-step explanation:SORRY
Find the domain of the function.
f(x) = -5x + 3
Answer:
-infinity < x < infinity
Step-by-step explanation:
The function is linear and is infinitely long in either direction.
BEST ANSWER GETS BRAINLIEST!!!!
A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $31. For 5 pounds of trail mix and pounds of 2 jelly beans, the total cost is 12. Find the cost for each pound of trail mix and each pound of jelly beans.
Answer:
3x + 8y = 31
5x + 2y = 12
Let's solve your system by elimination.
Multiply the second equation by -4, then add the equations together.
(3x + 8y = 31)
−4 (5x + 2y = 12)
Becomes:
3x + 8y = 31
−20x − 8y = −48
Add these equations to eliminate y:
−17x = −17
Then solve −17x = −17 for x:
−17x = −17
−17x −17 = −17 − 17 (Divide both sides by -17)
x = 1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
3x + 8y = 31
Substitute 1 for x in 3x + 8y = 31:
(3)(1) + 8y = 31
8y +3 = 31 (Simplify both sides of the equation)
8y + 3 − 3 = 31 − 3 (Add -3 to both sides)
8y = 28
8y8 = 288 (Divide both sides by 8)
y = 7/2
g What are the dimensions that will maximize the area of the window if you have 20 ft total for the perimeter of the window
6
Mr. Drake has to drive 546 miles on a trip. He has drijven 48% of the way. About how
miles has he driven?
Answer to what is CA
well, let's recall that A, B and C are medians of their segment, meaning each of those lines made by them are midsegments, Check the picture below.
[tex]CA = \cfrac{SR}{2}\implies 2CA=SR\implies 2(3x-1)=5x+4 \implies 6x-2=5x+4 \\\\\\ x-2=4\implies x =6~\hfill \stackrel{~\hfill CA}{3(6)-1\implies 17}[/tex]
(6,3) and (2,7) the midpoint formula
Answer: (4,5)
Step-by-step explanation:
Find the value of x that makes the equation true.
2 = -x
9514 1404 393
Answer:
x = -2
Step-by-step explanation:
Multiply both sides of the equation by -1.
(-1)(2) = (-1)(-x)
-2 = x
The value of x that makes the equation true is x = -2.
y varies jointly as x, z, and w. when x=2, z=1, and w=12, then y=72. find y when x=1, z=2, and w=3
Which of the following statements is incorrect?
a. (-3x)3 = -27x3
b. xo xx-4 = x2
c. x + x-3 = x4
d. 3-2 = -9
Answer:
The last one is incorrect
help please, i’m struggling on this
Answer:
help please, i’m struggling on this
Choose which diagram
Simplify.
1/cosθ + tan^2θ/cosθ
• 1 + sinθ
• sec^3θ
• 1
• cos^3θ
Answer:
I'm guessing the answer is sec³θ
Step-by-step explanation:
I tried this problem and I got 1/cos³θ and clicked cos³θ, but that answer was incorrect. In my lesson, there were the options:
1. sec³θ
2. cos³θ
3. secθ
I didn't have options 1 + sinθ or 1 as answers. If sec³θ is not the correct answer, please correct me.
A soccer goalpost is to be made of 40 feet of
Jumber. The school has 27 feet. How much
umber should be purchases?
Answer:
13 more should be purchased.
40-27=13
If there are 42 boys and 30 girls in a room
Ratios
42 / 6 = 7
30 / 6 = 5
7 boys and 5 girls on each of 6 teams.
Note, this is the minimum number of boys and girls on a team.
There could be 70 boys and 50 girls on each of the 6 teams.
Or even 7000 boys and 5000 girls.
Ratio does not provide an specific number only the relation between two quantities
what is the greatest number of obtuse angles that a right triangle can contain
Step-by-step explanation:
i think this is the answer
Answer:
ZeroStep-by-step explanation:
Obtuse angle is the angle greater than 90°.
A right triangle has one 90° and the sum of remaining angles is 90°.
It means a right triangle can't have an obtuse angle.
(x-3)(2x+1) Can someone help me on this please
40 out of 50 birds are female. total number of birds is 1,120, how many of them would be female
Answer:
896
Step-by-step explanation:
40/50 = 80%
80% of 1120 is 896
i bought a new comic book at the comic book shoppe and paid enitrely using quarters. If I had paid using only dimes i would have needed to pay 9 more coins. how much did the comic book cost
The comic book cost $1.50.
A quarter is worth .25 cents while a dime is worth .10 cents. This means 9 more coins would be .90 cents since each coin is worth .10 cents.
The difference between $1.50 and .60 cents is .90 cents.
25 x 6 = 150 while 10 x 6 = 60 : 150 - 60 = 90
Hope this helps!!
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Fertilizer puts nitrogen into the soil, so using fertilizer puts more nitrogen into the carbon cycle.
When you use fertilizer, its because a certain plant you are planting uses all the nitrogen in the soil, so it won't grow next time. Too much fertilizer, though, would burn up your plant (not literally). Some plants put their own nitrogen into the soil. I can't think of one off the top of my head, but I believe potatoes do. Anyways, this is where crop rotation came into play.
Things like corn take a lot of nitrogen, so the next time you had to plant whatever plant potatoes, which again may be wrong, in order to get nitrogen for the corn to grow next season. Today we have fertilizer, so we can give them nitrogen while they grow, instead of putting in other plants, taking more time.
So really, it doesn't do much, because your plant takes all the nitrogen that the Fertilizer adds.
Answer:
People have been converting atmospheric nitrogen into nitrogen fertilizers and then applying the fertilizers to plants in to grow more crops. This has previously been quite effective, allowing individuals to farm on previously unproductive lands, and provide adequate food for expanding populations of people. Unfortunately, fertilizers are frequently overused, which can lead to issues.
Nitrogen from fertilizers excretes into soils, typically promoting the growth of weeds rather than native vegetation. Nitrogen then washes into streams, resulting in a nutrient overload, a phenomenon known as eutrophication.
Eutrophication causes aquatic weeds to proliferate excessively in freshwater lakes. These aquatic weeds occasionally occupy entire lakes, streams, or rivers. Green algae cloud the water, and gooey algal slime covers the shallow rocks.
When nitrogen-rich waters flow down into the ocean, they worsen the situation. High nitrogen concentrations in the Mississippi River Delta have generated a 'dead zone' where the water flows into the Gulf of Mexico. This has occurred every summer for over 30 years. In 2001, this dead zone, where oxygen levels are too low for species to thrive, encompassed over 8000 square miles of water. It occurs when nitrogen in the water enables algae to quickly grow out of control.
Step-by-step explanation:
Great article to look at for more information -
https://www.nytimes.com/2017/07/27/climate/nitrogen-fertilizers-climate-change-pollution-waterways-global-warming.html