[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]
[tex]\\ \sf\longmapsto I=\dfrac{225000(3)(10)}{100}[/tex]
[tex]\\ \sf\longmapsto I=22500(3)[/tex]
[tex]\\ \sf\longmapsto I=67500[/tex]
The value of the home after the tenth year is 67500.
To find the value of the home after the tenth year?
What is simple interest?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given that:
Principal=P=$225000
Rate of interest=R=3%
Time=10 year
By the use of formula:
[tex]I=\frac{PRT}{100}[/tex]
[tex]I=\frac{225000*3*10}{100} \\\\I=22500*3\\\\I=67500[/tex]
So, the value of the home after the tenth year is 67500.
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43 + (-56) -78=
What is the steps to solve ?
PEMDAS- Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Answer= -91
Help me in math please this is my last question btw
Answer:
A) y=-7
Step-by-step explanation:
we talking about the better pond right?
A rectangles length is 6 units greater than its width. Write an equation expressing the rectangles area, A, as a function of W
Answer:
A = W² + 6W
Step-by-step explanation:
The width is W.
The length is 6 units greater than the width, so the length is W + 6.
The area is the product of the length and width.
A = (W + 6)W
A = W² + 6W
Similarity and Congruence
Two figures are said to be SIMILAR if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.
Each pair of figures is similar. Find the value of the missing side (x).
9514 1404 393
Answer:
3 in
Step-by-step explanation:
Ratios of corresponding sides are equal, so we have the proportion ...
x/(5 in) = (6 in)/(10 in)
x = (5 in)(6/10) = 3 in
The missing side (x) is 3 in.
The students at a school assembly
were divided into 4 equal groups.
There were 73 students in each
group. Write and solve an equation
to determine the number of students
that were at the assembly.
Answer:
292
Step-by-step explanation:
73 students in 1 group
4 groups all together
73 Students times 4 groups = amount of students all together
so 73x4=292
What are the coordinates of the midpoint
of the segment joining the points
A(-3,-1) and B(4,2)?
Midpoint = (***
x1 + x2 Y1 +92
2 2.
O (2,-4)
(-1.0.5)
O (1.-2)
(0.5, -1)
Answer:
(0.5, -1)
Step-by-step explanation:
If X= 9 and Y = 3, what is XY
Answer:
The most basic question I have ever seen lol
XY = 9*3 = 27
A. 0
B. Nonexistent
C. 1
D. -1
Answer:
[tex]\displaystyle \lim_{x\rightarrow 0^{+}} \frac{x\ln x}{\tan x}=-\infty\implies \text{B. Nonexistent (best answer)}[/tex]
Step-by-step explanation:
Recall L'Hopital's rule:
[tex]\displaystyle \lim_{x\rightarrow c}\frac{f(x)}{g(x)}=\lim_{x\rightarrow c}\frac{f'(x)}{g'(x)}[/tex]
First derivative of [tex]x\ln x[/tex]:
Recall the product rule:
[tex](f\cdot g)'=f'\cdot g+g'\cdot f[/tex]
[tex]\displaystyle \frac{d}{dx} (x\ln x)=\frac{d}{dx}(x)\cdot \ln (x)+\frac{d}{dx}(\ln x)\cdot x[/tex]
Note that:
[tex]\displaystyle \frac{d}{dx}(x)=1,\\\frac{d}{dx}(\ln (x))=\frac{1}{x}[/tex]
Simplifying, we get:
[tex]\displaystyle \frac{d}{dx} (x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x,\\\frac{d}{dx}(x\ln x)=\ln x+1[/tex]
First derivative of [tex]\tan x[/tex]:
[tex]\displaystyle \frac{d}{dx}(\tan x)=\sec^2 x[/tex]
Therefore, we have:
[tex]\displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=\lim_{x\rightarrow 0^{+}}\frac{\ln x+1}{\sec^2{x}}[/tex]
By definition, [tex]\cos x=\frac{1}{\sec x}[/tex]. Therefore,
[tex]\displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=\lim_{x\rightarrow 0^{+}}\frac{\ln x+1}{\sec^2{x}}=\lim_{x\rightarrow 0^{+}}\cos^2x(\ln x+1)[/tex]
Note:
[tex]\displaystyle \lim_{x\rightarrow 0^{+}}\cos^2x=1,\\\lim_{x\rightarrow 0^{+}}\ln x+1=-\infty[/tex]
Substitute:
[tex]\displaystyle \lim_{x \rightarrow0^{+}} \cos^2x(\ln x+1)=1\cdot (-\infty)=-\infty[/tex]
Therefore, we have:
[tex]\displaystyle \lim _{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=-\infty \text{}[/tex], which best corresponds with [tex]\boxed{\text{B. Nonexistent}}[/tex]
*Commentary:
Technically speaking, a limit exists only if it is equal to a real number. By proper definition, infinity is not a number. With that being said, you will see limits expressed as infinity or negative infinity.
Here's what I will say about this specific problem.
The problem is stipulating that we approach [tex]x[/tex] from the right side. Because of this condition, it may be unorthodox to say this limit doesn't exist. However, if the problem just asked for [tex]\displaystyle \lim_{x\rightarrow 0}\frac{x\ln x}{\tan x}[/tex], it is common and preferred to say this limit does not exist, since [tex]\displaystyle \lim_{x\rightarrow 0^{-}}\frac{x\ln x}{\tan x}\neq \displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}[/tex].
For example, [tex]\displaystyle \lim_{x\rightarrow 0}\frac{1}{x}=\text{DNE}[/tex], because [tex]\displaystyle \lim_{x\rightarrow 0}\frac{1}{x}[/tex] diverges. In other words, [tex]\displaystyle \lim_{x\rightarrow 0^{-}}\frac{1}{x}=-\infty \neq \displaystyle \lim_{x\rightarrow 0^{+}}\frac{1}{x}=\infty[/tex].
But again, the problem is asking for the limit as [tex]x[/tex] approaches from the right, in which case [tex]\displaystyle \lim _{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=-\infty }[/tex]. It's really a pedagogical choice whether to say a limit equal to infinity or negative infinity exists or not since infinity implies there is no limit, so saying the limit of something is infinity becomes an oxymoron. In this case, the person who wrote the answer choices chose to express a limit of infinity as nonexistent, but it is worth mentioning that someone else solving this problem might express [tex]-\infty[/tex] as the answer, and they would be just as, if not more, correct.
Without resorting to L'Hopital's rule, recall that
[tex]\displaystyle \lim_{x\to0}\frac{\sin(ax)}{ax} = 1[/tex]
for a ≠ 0. Then
[tex]\displaystyle \lim_{x\to0^+} \frac{x \ln(x)}{\tan(x)} = \lim_{x\to0^+}\frac x{\sin(x)} \times \lim_{x\to0^+}\cos(x) \times \lim_{x\to0^+}\ln(x)[/tex]
The first two limits exist and are equal to 1, but the last limit is -∞.
What is the following difference?
230 192ab -5 V81365
a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?
Answer:
9/10
Step-by-step explanation:
0.90 = 0.9 = 90/100 = 9/10
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Anton joined a golf club. He pays an annual membership fee of $895 and greens fee of $30 each time he plays golf. Last year he paid $2,065 as a total golfing fee. How many games did he play? Write and solve the equation.
Answer: f(g) = 895 + 30g
-----------------------------------------------------------------
He paid $2065. Number of games he played:
-----------------------------------------------------------------
2065 = 895 + 30g
30g = 2065 - 895
30g = 1170
g = 39
-----------------------------------------------------------------
Answer: He played 39 games.
Step-by-step explanation:
Number of games anton played is 39; the equation is 2065 = 895 + 30G
How to find the system of equations needed to solve an equation?An equation usually consists of equality of two mathematical expressions. Let it be
A = B
. If we take them to be equal to third variable, then:
A = B = C
type of equation is obtained.
We can then take it as system of two equations as:
A = C\\ B=C
Solution to this system will give us the solution to the considered equation.
Solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.
The equation will be f(g) = 895 + 30G
Amount anton paid = $2065.
Number of games he played;
2065 = 895 + 30G
30g = 2065 - 895
30g = 1170
G = 39.
Therefore, the solution of the equation os 39
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PLSSSS HELPPPPPPPPPPPPP
Answer:
PB = 25Step-by-step explanation:
P ___15cm______T____10cm______B
As shown above,
PB is a line segment and point T in it forming - PT = 15 and TB = 10
So,
PB = PT + TB
= 15 + 10
= 25 (Ans)
Write this as an algebraic expression:
You have $100 and make $25 a day
Answer:
25d + 100
Step-by-step explanation:
I will call "d" the days passed
25d + 100
what did one function say to the other function?
Answer:
2，3
Step-by-step explanation:
for number 1
14. The cost of 10 dozen of caps is Rs.800. How many caps can bebought for Rs.200.
Answer:
Step-by-step explanation:
10 dozen is equal to 120 so ratio is 800/120 or 80/12
same ration on the other side but 200/x.Cross multiply and u get 3
Please I need help the picture below with the options
9514 1404 393
Answer:
(B) Function 2
Step-by-step explanation:
We can compute the slope of Function 2 using the slope formula.
m = (y2 -y1)/(x2 -x1) . . . . where x and y are the independent and dependent variables.
m = (0.2 -0.8)/(3 -2) = -0.6
The slope of Function 1 is about ...
-3/7 ≈ -0.43
The slope of Function 2 is more negative.
__
On a graph, the line representing function 2 has a steeper downward slope.
√5 • -4√20
PLEASE SHOW STEP BY STEP ON HOW YOU SOLVED THE EQUATION
Answer:
-40
Step-by-step explanation:
[tex] \sqrt{5} \times - 4 \sqrt{20} [/tex]
Multiplication is commutative.
[tex] - 4 \sqrt{20} \times \sqrt{5} [/tex]
Apply Profuct Rule
[tex] - 4 \sqrt{100} [/tex]
Simplify sqr root of 100
[tex] - 4 \times 10 = - 40[/tex]
Hi ;-)
√5 · (-4√20) = -4√(5 · 20) =
= -4√100 = -4 · 10 = -40
How do you calculate frequency? If there are 138 bright white phones out of 1301 total phones, how do I calculate the frequency?
300000000000000000000000
Martina took a train to the bullfight. It traveled 544 km nonstop in 8.5 hours to get there. If the train moved at a steady speed, what was the rate of speed
Answer:
64 km per hour
Step-by-step explanation:
544/8.5=64
The area of a children square playground is 50m squared.
a. what is the exact length of the playground
2. pine logs 3m long are to be laid around the playground. How many logs will need to be bought?
Answer:
a. solution
Area = 50 m^2
Area of square = l^2
or, 50 m^2 = l^2
or, √50m^2 = l
or, 5√2 m= l
Hence, The exact length of the playground is 5√2 m.
PLEASEEE HELP I AM GIVING BRAINLIEST PLSSS
Answer:
Step-by-step explanation:
Write an
equation in slope intercept form y = mx +b.
6) slope = 4, y-intercept = -3
Answer:
y = 4x - 3
Step-by-step explanation:
Slope intercept form is made up of these components:
y = outputm = slopex = inputb = y-interceptThe question gives you the slope and the y-intercept. Now all you need to do is substitute the values for the variables. Therefore, the equation is y = 4x - 3.
A group of friends in Chicago watched a televised bullfight. They ordered 3 pizzas ($15 each), 15 drinks ($1.50 each), and 6 large nachos ($5.80 each). After adding 5% and a 20% tip to the total, what did they pay for the food? (The tip is 20% of the total before the tax is added) around the answer to the nearest while cent
Answer:
$127.875
Step-by-step explanation:
cost of 3 pizzas= $15*3
cost of 3 pizzas=$45
cost of 15 drinks=$1.50*15
cost of 15 drinks=$22.5
cost of 6 nachos=$5.80*6
cost of 6 nachos=$34.8
Total cost = pizza cost+ drinks+nachos
total cost=$45+$22.5+$34.8
total cost=$102.3
Now ,
Tip cost=$102.3*20%
=$20.46
tex cost=$102.3*5%
=$5.115
Bill which all friends pay=total cost+ tip cost+tex cost
= $102.3+$20.46+$5.115
=$127.875
I need help with math please here is a photo
If no sides of a triangle have the same length, the triangle is called scalene
(pronounced SKAY-leen). And, as you might remember, if the triangle has at
least two sides that are the same length, the triangle is called isosceles. Use the
markings or description in each diagram below to decide if AABC is isosceles or
scalene. Assume the diagrams are not drawn to scale.
Answer:
a. isosceles
b. isosceles
c. scalene
What is the coordinate of point A?
Answer:
The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane.
Hope it is helpfully.Se hizo un estudio entre los estudiantes de Licenciatura en ingeniería de software y sistemas computacionales, a 40 de estos estudiantes se les pidió que estimen el número de horas que habrían dedicado a estudiar la semana pasada (tanto en clase como fuera de ella), obteniéndose los siguientes resultados:
True or False, 15%-54% of errors reported from primary care practices are related to the testing process.
Answer:
i would say true
Step-by-step explanation:
Which of the following values are solutions to the inequality 3x+10\ge 2?3x+10≥2?
\text{I.}\hspace{2px}-1\hspace{20px}\text{II.}\hspace{2px}3\hspace{20px}\text{III.}\hspace{2px}-11
I.−1II.3III.−11
\text{None}None
\text{I only}I only
\text{II only}II only
\text{III only}III only
\text{I and II}I and II
\text{I and III}I and III
\text{II and III}II and III
\text{I, II and III}I, II and III
9514 1404 393
Answer:
I and II
Step-by-step explanation:
The inequality ...
3x +10 ≥ 2
has solutions ...
3x ≥ -8 . . . . . . . . subtract10
x ≥ -2 2/3 . . . . . divide by 3
Of the answer choices {-1, 3, -11}, the ones that are greater than -2 2/3 are ...
-1, 3 . . . . . . I and II only
Phương trình vi phân y'' - 2y' -3y =0 có nghiệm tổng quát là ?
Answer:
y = c1 e^-x + c2 e^(3x)
Step-by-step explanation:
Review linear DE's
(D-3)(D+1)y = 0
