Answer:
☼︎Information Provided:
Mohan opened a Recurring deposit Account in a bank for five yearsHe deposited Rs.100 every monthRate of interest is 6% per annum☼︎What we have to calculate :
How much money will he get after 5 years?☼︎Using Formulas :☼︎Maturity value:-
[tex]\boxed{\sf{\longmapsto \: M.V. \: = \: P \times \: n \: + \: I }}[/tex]
☼︎Interest:-[tex]\boxed{\sf{\longmapsto \: I\: = \: P \times \: \frac{n(n + 1)}{2 \times 12} \: + \: \dfrac{r}{100} }}[/tex]
☼︎In both the formulas,
P is Principaln is number of monthsr is rate of interest☼︎Performing Calculations :
Finding out the interest by substituting the values in the given formula of calculating the interest~
☼︎Number of months :
☼︎We know that,1 year = 12 months5 years = 12 × 5 months5 years = 60 months☼︎We have :
P is 100r is 6%n is 60☼︎Putting the values :
[tex] \: \tt { \longmapsto \: I \ \: = \: 100 \times \dfrac{60(60 + 1)}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]
[tex]\: \sf{I \: = \:100 \times \dfrac{60(61)}{2 \times 12} \: \times \: \dfrac{6}{100} } [/tex]
[tex]\: \sf{I \: = \:100 \times \dfrac{60 \times 61}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]
[tex] \: \sf{I \: = \: 100 \times \dfrac{3660}{24} \: \times \: \dfrac{6}{100} }[/tex]
[tex] \: \sf{I \: = \: \dfrac{3660}{ \cancel{24}} \: \times \: \cancel {6}}:⟼I=243660×6[/tex]
[tex]: \longmapsto \: \sf{I \: = \: \dfrac{3660}{4}}[/tex]
[tex]: \longmapsto \: \sf{I \: = \: \cancel\dfrac{3660}{4}}[/tex]
[tex]: \longmapsto \: \boxed{ \mathfrak \green{{I \: = \: 915} }}[/tex]
☼︎Now, putting the values in formula of M.V. :
[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]
[tex]... \: \sf{\longmapsto \: M.V. \: = \: 100 \: \times \: 60 + \: 915}[/tex]
[tex] ... \sf{ \longmapsto\: M.V. \: = \: 6000 + \: 915}:[/tex]
[tex]... \longmapsto \: \boxed{\pink{\sf{M.V. \: = \mathfrak {6915}}}}:[/tex]
[tex]\underline{\bf{Hence \: he \: would \: get \: Rs.6915 \: after \: 5 \: years}}[/tex]
[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]
☼︎Additional InformationInterest (I) received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is
[tex]\bold{ \red{\boxed{\text{I} = \text{P} \times \dfrac{ \text{n(n + 1)}}{24} \times \dfrac{ \text{r}}{100} }}}[/tex]
Maturity Value (MV)
Received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is also given by
[tex]\begin{gathered} \pink{\boxed{\rm{ MV \: = \: \text{P} \: + \: I \: }}} \\ \end{gathered}[/tex]
[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]
Answer
Rs.6915after5yearsSolve the formula for V in terms of d and m
Step-by-step explanation:
[tex] d = \frac{m}{V}[/tex]
[tex] V \times d = m[/tex]
[tex] V = \frac{m}{d}[/tex]
Luna goes to the convenience store with $20.00. She buys 3 frozen drinks for
$2.25 each and a snack for $3.85. How much money does she have left?
No links plsss and help fast plss
option B is correct, the money Luna left with is $20.00-(3×2.25+3.85)
What is Expression?An expression is combination of variables, numbers and operators.
Given that Luna goes to the convenience store with $20.00.
Luna buys 3 frozen drinks for $2.25 each and a snack for $3.85.
The cost for 3 frozen drinks will be 3×$2.25
The cost of snacks is $3.85.
To find the money left we have to subtract the amount spend for drinks and snack.
$20.00-(3×2.25+3.85)
Hence, option B is correct, the money Luna left with is $20.00-(3×2.25+3.85)
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Calculate the missing values in these similar triangles
Please show work , if u can.
Thank you <3
Answer:
x = 16
y = 70.4
Step-by-step explanation:
Two triangles are similar, so we can use the similarity ratio to so find the variables
(2.8)/(22.4) = (8.8)/y cross multiply expressions
197.12 = (2.8)*y divide both sides by 2.8
70.4 = y
use same operation to find x
(2.8)/(22.4) = x/128 cross multiply expressions
358.4 = (22.4)*x divide both sides by 22.4
16 = x
shara spent $44 dollars on 4 new t-shirts. if each t-shirt is the same price how much did each shirt cost?
2,4,1=4
6,0,3=6
7,2,4=7
1,0,8=?
Answer:
8 is the correct answer ...
l=[tex]\lim_{x \to \0} x^{sin x}[/tex]
By applying the exponential and logarithmic functions, we have
[tex]x^{\sin(x)} = \exp \left(\ln \left(x^{\sin(x)}\right)\right)[/tex]
Then in the limit,
[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \lim_{x\to0} \exp \left(\ln \left(x^{\sin(x)}\right)\right)[/tex]
[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \ln \left(x^{\sin(x)}\right)\right)[/tex]
[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \sin(x) \ln(x) \right)[/tex]
[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \frac{\ln(x)}{\csc(x)} \right)[/tex]
As x approaches 0 (from the right), both ln(x) and csc(x) approach infinity (ignoring sign). Applying L'Hopitâl's rule gives
[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \frac{\frac1x}{-\csc(x)\cot(x)} \right) = \exp \left( -\lim_{x\to0} \frac{\sin^2(x)}{x\cos(x)} \right)[/tex]
Recall that
[tex]\displaystyle \lim_{x\to0} \frac{\sin(x)}{x} = 1[/tex]
Then
[tex]\displaystyle \lim_{x\to0} \frac{\sin^2(x)}{x\cos(x)} = \lim_{x\to0} \frac{\sin(x)}{\cos(x)} = \lim_{x\to0} \tan(x) = 0[/tex]
So, our limit is
[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp(0) = \boxed{1}[/tex]
what is the estimate of 353.388?
Find the slope
Find the slope
Answer:
2
Step-by-step explanation:
10. Two-sixths of the marbles are red. If there are 8 more blue marbles than red marbles, how many marbles are there in all? A. 20
B. 22
C. 24
D. 26
pls answer it I need it rn♥
Answer:
The Answer is Option C. 24
Explanation:
Red Marbles = [tex] \frac{2}{6} \times 24 = 8[/tex]
Blue Marble = (Red Marbles [tex] + 8[/tex])
Total Marbles = (Red Marbles+Blue Marbles) =[tex](8 + 16)[/tex] [tex] = 24[/tex]
Pemdas please help explain too please
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
(left to right)
4²-(3.1+6.4)+4.5
According to PEMDAS, we will do what is inside the parenthesis.
3.1+6.4 = 9.5
4²-9.5+4.5
Then we do figure out the exponent.
4² = (4)(4) = 16
16-9.5+4.5
Then we do subtraction then addition because PEMDAS also tells us we should do adding and subtracting from left to right. In this expression, subtracting is on the left side so we should do that first.
16-9.5 = 6.5
6.5 + 4.5 = 11
11 is your answer :)
what is 10/7 divided by 4
Answer:
0.3
Step-by-step explanation:
Answer:
5/14Step-by-step explanation:
what is 10/7 divided by 4
10/7 : 4 =
10/7 * 1/4 =
5/14
150 is 60% of what number?
Answer:
150 then change 60 0.60 of means ×
Step-by-step explanation:
150÷0.60=??
Please help me please help me help please help me
Step-by-step explanation:
U need to make a graph
than plot the points they give u
than find the rise over run
rise/run = slope
If I bought 2.5 pounds of grapes that costs 1.48 per pound, and pay with a $10 gift card how much money remains on the card?
Answer:
6.3
Step-by-step explanation:
1.48 * 2.5= 3.7
10-3.7= 6.3
9514 1404 393
Answer:
$6.30
Step-by-step explanation:
The cost of the grapes is ...
(2.5 lb)×($1.48 /lb) = $3.70
After that amount is subtracted from the gift card, the remaining balance is ...
$10.00 -3.70 = $6.30
$6.30 remains on the gift card.
James is making a scale model of his bedroom. The model is
0.6 feet wide. If the actual room is 17.5 times as wide as the
model, what is the width of James's room?
A 18.1 feet
(B) 17.11 feet
© 16.9 feet
D 10.5 feet
Answer:
D
Step-by-step explanation:
0.6x17.5 which is 10.5
A city manager determined that the city’s busiest intersection averages 530 cars per hour during afternoon rush hour. Assume that the standard deviation is 38.4 and a random sample of 60 hours was used to determine the average. Which statements are true about this situation?
A.The sample isn’t large enough to use a normal distribution.
B. The margin of error for 99% confidence is about 11 cars.
C.The margin of error for 95% confidence is about 10 cars.
D. The 95% confidence interval is from about 508 to 552 cars.
E. The 99% confidence interval is from about 517 to 543 cars.
Answer:
its c and e
Step-by-step explanation:
8 5/12+ 11 1/4=
In simplest form
Answer:
59/3
Explanation:
8 5/12 + 11 1/4 in simplest form is 59/3.
A salesperson receives a commission of $120. He earns 4% commission of his total sales.
What is this salesperson's total amount of sales?
the answer is 3,000
4% × 25 = 100%
$120 × 25 = $3000
If f(x)= [tex]\sqrt{x^2-4}[/tex] and g(x)=3x-2, then the derivative of f(g(x)) at x=3 is
Answer:
[tex]\displaystyle \frac{d}{dx}\Big|_{x=3} & = \frac{9(3)-6}{\sqrt{(3(3)-2)^2-4}} = \frac{7\sqrt{5}}{5}[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle f(x) = \sqrt{x^2 -4} \text{ and } g(x) = 3x-2[/tex]
And we want to find:
[tex]\displaystyle \frac{d}{dx}\left[f(g(x))\right] \text{ at } x = 3[/tex]
Recall that from the chain rule:
[tex]\displaystyle \frac{d}{dx}\left[ f(g(x))\right] = f'(g(x)) \cdot g'(x)[/tex]
Hence, find both f'(x) and g'(x).
The derivative of f(x) can be determined using the chain rule:
[tex]\displaystyle \begin{aligned} f'(x) &= \frac{d}{dx}\left[ \sqrt{x^2-4}\right]\\ \\ & = \frac{1}{2\sqrt{(x^2-4)}}\cdot \frac{d}{dx}\left[x^2-4\right] \\ \\ & = \frac{x}{\sqrt{x^2-4}} \end{aligned}[/tex]
Because g(x) is simply a linear function, its derivative will be the slope of the linear function at any point. That is:
[tex]\displaystyle g'(x) = 3[/tex]
Hence:
[tex]\displaystyle \begin{aligned} \frac{d}{dx}\left[f(g(x))\right] & = \frac{(g(x))}{\sqrt{(g(x))^2-4}} \cdot (3) \\ \\ & = \frac{9x-6}{\sqrt{(3x-2)^2-4}} \end{aligned}[/tex]
Then at the point x = 3, the derivative is:
[tex]\displaystyle \frac{d}{dx}\Big|_{x=3} & = \frac{9(3)-6}{\sqrt{(3(3)-2)^2-4}} = \frac{7\sqrt{5}}{5}[/tex]
PLEASE HELP ME ILL MARK BRAINLIEST !!!!! spam reported
Answer:
-3
Step-by-step explanation:
Zeke is redoing the floor in his kitchen.the floor has a width of 7 feet and an area of 98 square feet. What is the length of Zeke’s kitchen floor
The length of the floor is obtained as 14 feet.
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The diagonals of a rectangle do not bisect each other.
The kitchen floor can be considered as a rectangle.
The width is given as 7 feet.
Suppose the length of floor be x feet.
Since, the area of a rectangle is the product of length and width, the following equation can be written for the given case,
7x = 98
=> x = 98/7
= 14
Hence, the length of the kitchen's floor is found to be 14 feet.
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I need help with this question. This is my first time using this app so I don’t know how to include multiple images in one message.
Answer:
100
Step-by-step explanation:
you see im very smart
Solve the equation. -12=2/3x+6
Answer: it should be -27
Step-by-step explanation:
solve for b : d(c-b)=a
Answer:
[tex]b=-\frac{a}{d}+c[/tex]
Step-by-step explanation:
[tex]d(c-b)=a\\\\\frac{d(c-b)}{d}=\frac{a}{d}\\\\c-b=\frac{a}{d}\\\\c-b-c=\frac{a}{d}-c\\\\-b=\frac{a}{d}-c\\\\\frac{-b}{-1}=\frac{\frac{a}{d} }{-1}-\frac{c}{-1}\\\\b=-\frac{a}{d}+c[/tex]
A jar contains n nickels and d dimes. There are 28 coins in the jar, and the total value of the coins is $2.10. How many nickels and how many dimes are in the jar?
Answer:
Step-by-step explanation:
So how u do it is
you take 28 and 2.10 and you add it.
you add it with the bigger number at the bottom and the smaller number at the top. You then add it and that’s how many nickels and dimes are in the jar.
Hope this helped. Hehe
Find the slope of the line that contains the following pair
of points:
(-4, 1) and (2, 5).
Answer:
[tex]\displaystyle m = \frac{2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify.
Point (-4, 1)
Point (2, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in variables [Slope Formula]: [tex]\displaystyle m = \frac{5 - 1}{2 + 4}[/tex][Order of Operations] Add/Subtract: [tex]\displaystyle m = \frac{4}{6}[/tex]Simplify: [tex]\displaystyle m = \frac{2}{3}[/tex]Quick math question 100 points pls help
Thisbis a general geometric progression
first term=a=9common ratio=2/3=rSo iterative formula
ar^{n-1}9(2/3)^{n-1}Answer:
[tex]a_n=9 \cdot \left(\frac{2}{3}\right)^{n-1}[/tex]
Step-by-step explanation:
Given:
[tex]\begin{cases}a_1=9\\a_n=\frac{2}{3}(a_n-1)\end{cases}[/tex]
General form of a geometric sequence:
[tex]a_n=ar^{n-1}[/tex]
where:
a is the first termr is the common ratioTherefore:
[tex]a = a_1 = 9[/tex][tex]r = \dfrac{2}{3}[/tex]Substitute the given values into the general formula:
[tex]\implies a_n=9 \cdot \left(\frac{2}{3}\right)^{n-1}[/tex]
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Which of the following is a one to one function ???
-12 exponent-2 equals please help me find
Step-by-step explanation:
[tex] = { (- 12)}^{ - 2} [/tex]
[tex] = \frac{1}{ {( - 12)}^{2} } [/tex]
[tex] = \frac{1}{ {12}^{2} } \: or \: \frac{1}{144} [/tex]
Ruben receives a weekly allowance. Each week, he spends $5 on candy and saves $7 for
college. He donates the remaining $2 to a children's hospital.
How much is Ruben's weekly allowance?
Answer: $14
Step-by-step explanation:
We know that Ruben spends $5 on candy, and saves $7 for college. If we add these together we get 12. Remaining: $2, which he donates to a children’s hospital. So 7+5+2=14, so Ruben has a weekly allowance of $14.
