Kamal and Anand each Lent the same sum of money for 2 years at 5 percent at simple interest and compound interest respectively. Anand received RS.15 more than Kamal.Find the amount of money lent by each and interest received
Answer:
amount lent: ₹6000interest received: Kamal, ₹600; Anand, ₹615.Step-by-step explanation:
For principal P invested at simple interest rate r, the returned value in t years is ...
A = P(1 +rt)
If K is Kamal's returned value, the given numbers tell us ...
K = P(1 +0.05·2) = 1.1P
__
For principal P invested at compound interest rate r, with interest compounded annually for t years, the returned value is ...
A = P(1 +r)^t
If A is Anand's returned value, the given numbers tell us ...
A = P(1.05)² = 1.1025P
This latter amount is RS.15 more than the former one, so we have ...
1.1025P = 1.1P +15
0.0025P = 15 . . . . . . . . subtract 1.1P
P = 6000 . . . . . . . . . . . divide by 0.0025 . . . . the amount lent
Kamal received 1.1P -P = 0.1P = 600 on the investment.
Each lent ₹6000. Kamal received ₹600 in interest; Anand received ₹615 in interest.
Suppose you charge $4.50/h for baby-sitting. How much will you earn baby-sitting for 3 1/2 hours?
Answer:
You will earn $15.75, $13.50, or $18 depending on how you are getting paid
Step-by-step explanation:
If you are getting paid a flat rate not by the hour, then simply multiply $3.50 by 3.5 to get $15.75
If you are getting paid by the hour, and only by full hours, the you get $3.50 for the first, second, and third hour, but not for the fourth hour because it has only been a half hour, so only $13.50.
If you are getting paid for each hour that you start, then you get $3.50 for four hours, or $18.00 total
What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200
Answer:
x = 200
Step-by-step explanation:
Given
[tex]\frac{1}{5}[/tex] x - [tex]\frac{2}{3}[/tex] y = 30 ← substitute y = 15 into the equation
[tex]\frac{1}{5}[/tex] x - [tex]\frac{2}{3}[/tex] × 15 = 30 , that is
[tex]\frac{1}{5}[/tex] x - 10 = 30 ( add 10 to both sides )
[tex]\frac{1}{5}[/tex] x = 40 ( multiply both sides by 5 to clear the fraction )
x = 200
The value of x is 200.
Here, given expression is
one-fifthx – two-thirdsy = 30,
We have to find the value of x when y = 15.
What is Mathematical expression?
Mathematical expression is a way where calculations and analytical processes should be observed.
Now, given expression is
⇒ one-fifthx – two-thirdsy = 30,
⇒ [tex]\frac{1}{5} x - \frac{2}{3} y = 30\\[/tex]
When y = 15
⇒ [tex]\frac{1}{5} x - \frac{2}{3} *15 = 30\\\\\frac{1}{5} x -2* 5 = 30\\\\\frac{1}{5} x = 30 + 10\\\\\frac{1}{5} x = 40\\\\x = 200[/tex]
Hence, The value of x is 200.
Learn more about the Mathematical expression visit:
https://brainly.in/question/49349844
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write in standard form y=-3x+4 through (0,-1)
A pair of $120 shoes was discounted 20 percent. A customer had a coupon for an additional $5 off. What was the final price of the shoes?
Answer:
The answer would be $91.
Step-by-step explanation:
20% off of 120 is 96 and 96 - 5 is 91.
Answer:
$91
Step-by-step explanation:
To find 20% off of $120 set it up as a fraction.
We are trying to find x.
x/120 = 20/100
Now you are going to cross multiply to get the unchanged/non-simplified version of you soon to be answer.
2400/100x
Simplify that to find how much you need to subtract from $120 when the discount is added. 2400/100 = 24. 120-24 = 96. Then subtract 5 from 96 and that will give you your final answer.
help please! I kind of forgot how to do these & I need a little bit of help, thank you!
Answer:
T
Step-by-step explanation:
Go to the right 1/4 of a unit and down 1/2 of a unit
The point is T
Find the midpoint of the segment with the following endpoints. (7,−2) and (1,−10)
Answer:
The answer is
[tex](4 \: , \: - 6)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(7,−2) and (1,−10)
The midpoint is
[tex]M = ( \frac{7 + 1}{2} , \: \frac{ - 2 - 10}{2} ) \\ = ( \frac{8}{2} , \: - \frac{12}{2} )[/tex]We have the final answer as
[tex](4 \: , \: - 6)[/tex]Hope this helps you
Determining a value of an expression
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.
I think.
A corporation reported profit of approximately $1500 million with approximately $24,300 million in revenues. Compare the profit to revenue by writing as a fraction in the lowest terms
Answer:
[tex]\frac{5}{81}[/tex]
Step-by-step explanation:
Given:
Profit = $1500 million
Revenue = $24,300 million
Profit to Revenue = [tex]\frac{1500 million}{24,300 million}[/tex] [Since they both have same unit ($), this sign can be omitted]
Now let's reduce the ratio above to its lowest terms...
[tex]\frac{1500 million}{24,300 million}[/tex]
[First, the millions at the numerator and denominator cancel out]
[tex]\frac{1500}{24,300}[/tex]
[Next, the two zeros at the numerator and denominator cancel out]
[tex]\frac{15}{243}[/tex]
[Next, divide both the numerator and denominator by 3]
[tex]\frac{5}{81}[/tex]
Since no further division can be done, then the profit to revenue is in its lowest terms as [tex]\frac{5}{81}[/tex]
What is the slope of the line that passes through (-5,4) and (-1,8)
Answer:
1
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 8-4)/( -1 --5)
= 4/( -1+5)
= 4/4
=1
You need the slope, so start with the slope formula.
slope = y₂ - y₁ / x₂ - x₁
Substitute (-5, 4) for (x₁, y₁) and (-1, 8) for (x₂, y₂).
So we have 8 - 4 / -1 - -5.
Simplify to find the answer.
So we have 4/4 which is 1.
Please help !!!!!!!!!!!!!
Answer:
with what part of the question be more specific
Which fraction is equivalent to a repeating decimal? A)3/11 B)3/4 C) 3/8 D) 3/5
Answer:
3/11.
Step-by-step explanation:
3/11 = 0.2727272727....
Solve step by step 3(2x-4)=8
Answer:
x = 3.33... or 10/3
Step-by-step explanation:
3(2x - 4) = 8
distribute the 3 into the parentheses
3 • 2x = 6x
3 • -4 = -12
6x - 12 = 8
add 12 to both sides
6x = 20
divide both sides by 6
x = 3.33... or 10/3
Answer: x = 10/3
Step-by-step explanation:
3(2x-4) = 8 apply the distributive property on the left side
6x - 12= 8 Add 12 to both sides
+12 +12
6x = 20 Divide both sides by 6
x= 20/6 which simplifies to 10/3
At the start of summer Ben has $250. He takes summer job
and saves $ 150 per week. Tim has $ 1,650 at the start of
summer, he travels and spends $ 200 per week. At the end of
which week do Ben and Tim have the same amount of money ?
Answer:
week 4
Step-by-step explanation:
With Ben saving up $150 every week, he'll have $850 by week 4 because, $150 times 4 is $600, plus the $250 that he started with equals $850. Tim will also have $850 by week 4 because $200 times 4 equals $800. $800 minus the $1650 that he started off with equals $850.
19. A concert vendor sold 200 tickets for an upcoming rock concert. Floor seats were $36 and stadium seats
were $28. The vendor sold $6080 in tickets. How many floor seats and stadium seats did the vendor sell?
Set up a system of equations and solve. Let f = the number of floor seats sold and S= number of stadium
seats sold.
Answer:
36F + 28S= 6080
Step-by-step explanation:
36F + 28S= 6080 is the equation for the problem. For the amount of tickets each one sold, station seats sold 140 tickets and floor seats sold 60 tickets.
Sofia owes her brother $25. She gives her brother the $18 she earned dog-sitting. Write an addition expression to describe this situation. Then find the sum and explain its meaning.
Answer:
She owes her brother $7.
Step-by-step explanation:
Subtract $18 made from dogsitting from the total (which is $25).
addition expression : $18 + x =$25
check : $25 - $18 = $7
$7 is what she needs to finish paying back.
What is m What is m What is m
Answer:
honestly im not sure but i am doing that same work at the moment and i just ingore the m. it shouldnt change what you get as your answer.
Answer:
not sure but i hope yah find out
Step-by-step explanation:
Which statement is false?
Which sentence is correct? A. B. C. D.
Answer:
what do you mean what sentence is correct give a picture
Answer:a
Step-by-step explanation:
A force of 250 N is applied to an object that accelerates at a rate of 5 m/sec^2. What is the mass of the object?
======================================================
Work Shown:
F = ma
250 = m*5
250/5 = m
50 = m
m = 50
The mass of the object is 50 kg
Simplify :
............
Answer:
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anmpq0qq
A cable company charges $95 for installation plus $45 per month. If you paid $455 over a period of time, how many months did you use that cable company?
Answer: 8 months
Step-by-step explanation:
m= number of months
45m+95=455
minus 95 over
45m=360
divide by 45
m=8
Write the following expression using a single exponent. 3-5 × 36 A. 30 B. 3-11 C. 31 D. 3-30
Answer:
3^1
Step-by-step explanation:
3^-5 * 3^6
When multiplying exponents with the same base, we can add the exponents
3^ ( -5+6)
3^1
which of the following numbers best approximates 3.076 - 307.6
A. 300
B. 3,000
C. 30
D. 30,000
Answer:
A
Step-by-step explanation:
The minus sign is not needed.
What is 39,040,000 expressed in scientific notation
Answer:
39.04 x 10 to the power of 7
Step-by-step explanation:
probably wrong but ok :)
Multiply. (2x + 5) (3x2 + 5x + 1) A. 5x3 + 15x2 + 27x + 5 B. 6x3 + 15x2 + 27x + 6 C. 6x3 + 25x2 + 27x + 5 D. 6x3 + 25x2 + 23x + 5
Answer: 6x3+25x2+27x+5
Step-by-step explanation: =(2x+5)(3x2+5x+1)
=(2x)(3x2)+(2x)(5x)+(2x)(1)+(5)(3x2)+(5)(5x)+(5)(1)
=6x3+10x2+2x+15x2+25x+5
Question 5 (1 point)
The mallard duck walks 9,500 ft per year. How many inches is that per day?
Answer:
LOL, change ft to inches and then divide by 365
Answer:
312.3 Inches/Day
Step-by-step explanation:
I did it on a test and also 9,500 divided by 365 (year) times 12 (12 inches in one foot)=312.3
As you can see in the photo below I chose 312.3
GEOMERTY QUESTIONS!!!!!!!!!
Answer: The answer to the first question is C. The answer to the second question is A.
the first one is C and the second is A
Find the two missing numbers shown with an "*" in the equation.
5 3/* × * 1/2 = 19
^^both mixed fraction^^
Drew scores 90 points in 6 games. How many points per game does Drew score?
Answer:
15
Step-by-step explanation:
90 points in 6 games
90/6 = points in one game
= 15 points in one game
Answer:
15 points per game
Step-by-step explanation:
You need to divide the full amount of points (90) by the amount of games played (6) to get the amount of points per game.
90÷6=15
So 15 is the answer