Answer:
Interest = Rs. 1297.26
Step-by-step explanation:
To calculate the final amount, we can use the following formula:
[tex]\boxed{A = P(1 + \frac{r}{100})^n}[/tex],
where:
A = final amount
P = principal (initial) amount
r = rate
n = time in years,
and then we can subtract the initial amount from the final amount to find the interest.
We have been told in the question that the principal, P = Rs. 10,000; and the time is [tex]2\frac{1}{2}[/tex] years, therefore n = 2.5. The rate is 5%, therefore r = 5.
Using this information, and the formula above, we can calculate the final amount:
[tex]A = 10000(1 + \frac{5}{100})^{2.5}[/tex]
⇒ [tex]A = 10000(1.05)^{2.5}[/tex]
⇒ [tex]A = \bf 11297.26[/tex]
Now that we know what the final amount was, we can calculate the interest by subtracting the initial amount from it:
Interest = 11297.26 - 10000
= 1297.26
Therefore the interest was Rs. 1297.26.
Simplify
√5 x √12 x √50
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here's the solution ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{5} \times \sqrt{12} \times \sqrt{50} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{5} \times \sqrt{2 {}^{2} \times 3 } \times \sqrt{2 \times {5}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{5} \times 2 \sqrt{3} \times 5 \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2 \times 5 \sqrt{5 \times 3 \times 2} [/tex]
[tex]\qquad \sf \dashrightarrow \: 10 \sqrt{30} [/tex]
What is the solution set for -3x ? 3 > -21?
The solution set for the inequality expression is (-∞, -6)
Solving inequalitiesInequality are expressions that does not involve an equality sign.
Given the following parameters
-3x + 3 > -21
Subtract 3 from both sides
-3x + 3 - 3 > 21 - 3
-3x > 18
Divide both sides by -3
-3x/-3 < 18/-3
x < -6
Hence the solution set for the inequality expression is (-∞, -6)
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A manufacturer makes widgets and gadgets. At least 500 widgets and 700 gadgets are
needed to meet minimum daily demands. The machinery can produce no more than 1200
widgets and 1400 gadgets per day. The combined number of widgets and gadgets that the
packaging department can handle is 2300 per day
The combined number of widgets and gadgets that the packaging department can handle is 2300 per day that is x + y =2300
A manufacturer makes widgets and gadgets. At least 500 widgets(x) and 700 gadgets (y) are
[tex]x\geq 500\\\\y\geq 700[/tex]
The machinery can produce no more than 1200 widgets(x) and 1400 gadgets(y) per day
[tex]x\leq 1200\\\\y\leq 1400[/tex]
The combined number of widgets and gadgets that the packaging department can handle is 2300 per day
x+ y =2300
then the possible values of x and y are
( 1000, 1300)
(1100, 1200)
( 1200,1100) etc.
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Keisha has $585.43 in her checking account. She must maintain a balance of $300 to avoid a fee. She wrote a check for $302.05 today. Write an inequality, using x for the variable, that would be used for the least amount of money she needs to deposit to avoid a fee.
The inequality that would be used for the least amount of money she needs to deposit to avoid a fee will be 585.43 + x - 302.05 ≥ 300.
How to calculate the value?From the information, it was stated that Keisha has $585.43 in her checking account and that she must maintain a balance of $300 to avoid a fee and then she wrote a check for $302.05 today.
The inequality that would be used for the least amount of money she needs to deposit to avoid a fee will be:
585.43 + x - 302.05 ≥ 300
Collect like terms
x ≥ 300 - 585.43 + 302.05
x ≥ $16.62
She's needs to deposit at least $16.62.
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9. M (2, 1) is the midpoint of segment AB. If the endpoint A has coordinates (5,6), find
the coordinates of endpoint B.
Answer:
(-1, -4)
Step-by-step explanation:
To find the missing endpoint, we can multiply the midpoint coordinates by 2, so we can get 4 and 2. Then we can subtract the coordinates from the endpoint we have, which is A, to those numbers.
4-5 is -1
2-6 is -4
Put them together and we get (-1, -4) as our endpoint B.
Answer:
Step-by-step explanation:
(5+x)/2=2, (6+y)/2=1
for the x value
5+x=4
x=-1
then for the y value
6+y=2
y=-4
then your answer would be (-1,-4)
Probability Question, please help me im stuck!
Answer:
27%
Step-by-step explanation:
3000 + 3500 + 4000 + 4200 = 14700
4000 / 14700 ≈ 0.27
0.27 = 27%
A tram moved upward for 12 seconds what was the total change in the trams elevation
Answer:
It depends on the steepness of the climb
Step-by-step explanation:
whitney makes $60000 in salary eight percent commission in may whitney had $13000 in sales how much did whitney make in may including her salary and commission
The total earning of Whitney in may including her salary and commission is $70,400.
What is sales commission?A sales commission is money given to an employee for completing a task, typically selling a specific amount of products or services.
Sales commissions are sometimes used as incentives by employers to increase work efficiency. A commission can be paid in regards to or in place of a salary.Now, as per the given question;
The monthly salary of Whitney is $60000.
The sales he did in the month of the may is $13000.
He got 8% commission on his total sales.
8% of $13000 = 10,400.
Thus, the total earning of the may will be-
Total earning = Salary + commission
Total earning = $60000 + 10,400
Total earning = $70,400
Therefore, the total earning done by Whitney in the May is $70,400.
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At a farm market, watermelons are selling 5 for $20. Each watermelon weighs about 8 pounds. What does the unit rate tell you? Responses The number of pounds each watermelon weighs. The number of pounds each watermelon weighs. The number of pounds all of the watermelons weigh. The number of pounds all of the watermelons weigh. The cost of all the watermelons. The cost of all the watermelons. The cost of one watermelon. The cost of one watermelon.
The unit rate of the watermelons would tell us the cost of 1 of the watermelon. The last option is correct.
How to solve for the costThe question tells us that the melons are sold for 5 for $20.
Hence the price of 1 would be at: 20/5
= 4 dollars per watermelon.
The weight of one of the melons is 8 pounds and the unit rate for 1 is 4 dollars. The unit rate is the price per one of the fruits or the cost of the fruit.
Hence we can say that The unit rate of the watermelons would tell us the cost of 1 of the watermelon.
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Please help due tonight
Answer:
Step-by-step explanation.
The graph shown corresponds to someone who makes ___
help quick pls
Answer:B $20 an hour
Step-by-step explanation:
if you look at the graph, in one hour he made $20
all the numbers from 1 to a 99 are multiplied together.Use a pattern to determine the last digit of the product
The last digit of the product of numbers from 0 to 99 is 0.
What is multiplication?Multiplication is a method of finding the product of two or more numbers.
We have,
1, 2, 3, .............till 99.
We know that any number multiplied by 10 will give us 0 as the last digit.
And there are 10, 20, 30, 40, 50, 60, 70, 80, and 90.
We also know that 5, 15, 25, 35, 45, 65, 75, 85, 95 if multiplied with an even number the last digit is zero.
So if all the numbers from 1 to 99 are multiplied together, the last digit of the product will be a zero.
Thus the last digit of the product of numbers from 0 to 99 is 0.
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3. What is the perimeter of a square
that is 3 inches on one side?
A 15 inches
(B) 12 inches
C
D
9 inches
3 inches
Step-by-step explanation:
(B) 12 Inches is the answer because perimeter (P) =4l =4×3=12
when constructing a congruent line segment to cd the ray needed for the construction must be shorter
This statement is false. when constructing a congruent line segment to cd the ray needed for the construction it must be not shorter.
Why configured line segment to CD the ray never can be shorter?Because when constituting a configured line segment to CD the ray never can be shorter. The reason is when we constitute a configured it's Ray line is always increase that mean it's go up Hight and it's must be longer . That's why this statement is false.
What is a congruent line segment?Congruent line segments are geometrical figures in one dimension with identical dimensions. In terms of congruent lines, the word "congruent" refers to the equality of the two line segments. When two lines are the same length, they are said to be congruent. Superimposable figures that entirely enclose each other when stacked one atop the other are congruent segments. The congruent segments continue to be congruent even after being turned, flipped, or rotated.
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In 4 games, Larry averaged 23 PPG (points per game). How many points does he need to score in the last game to have an average of 25 PPG? Explain how to use the mean and data given to find the answer.
The points does he need to score in the last game to have an average of 25 PPG is 33 points
Larry will need 33 points in his 5th game to average 25 PPG.Given that
Larry averaged 23 PPG (points per game) in 4 games.To find
How many points are required to have an average of 25 PPG?So, according to the question
We have,
Larry's average in 4 games = 23 PPG.∵ [tex]average = \frac{sum\;of\;terms}{number\;of\;terms}[/tex]
∴ Total points gained by Larry in 4 games
= (average points in 4 games) × 4
= 23 × 4
= 92 points.
Let's assume Larry scored x points in the 5th match to have an average of 25 PPG.
So, we can say that
Larry's average in 5 games = [tex]\frac{total\;points\; in\; 5\;games}{5}[/tex]
25 = [tex]\frac{92+x}{5}[/tex]
25 × 5 = 92 + x
125 = 92 + x
x = 125 - 92
x = 33.
He will need 33 points in his 5th game.
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Multiply 5 by 25 to find the total points Larry needs to score in 5 games, 5 × 25 = 125. Then find the total points Larry scored in the frist 4 games, 4 × 23 = 92. Subtract to find the number of points Larry needs to score
took the quiz
solve for x
3(2x+18)=36
Answer:
x = -3
Hope this helps
Step-by-step explanation:
( (2x*3) + (18*3) ) = 36
(6x + 54) = 36
6x + 54 = 36
6x + 54 - 54 = 36 - 54
6x = -18
6x / 6 = -18 / 6
x = -3
A.10x-5 )=1000 B.10x+5)=1000 C.10x+5=1000 D.10x-5=1000
(4)^2(-7)-(-7)^2
This is all
What is the slope of a line parallel to the line whose equation is 18x + 15y = 90. Fully simplify your answer.
Answer:
6/5
Step-by-step explanation:
Rise
_____
Run
The slope of parallel line is -6/5
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
given:
Equation: 18x + 15y = 90.
Now, writing the given equation in slope intercept form
15y= 90- 18x
y= 90/15 - 18/15 x
y= 6 - 6/5x
So, the slope of given line is -6/5
Now, the slope of parallel and given is same.
Thus, the slope of parallel line is -6/5
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Add. Write your answer in scientific notation. (1.38×104)+(8×103) 9.38×1049 point 3 8 times 10 to the 4th power 2.18×1042 point 1 8 times 10 to the 4th power 9.38×1079 point 3 8 times 10 to the 7th power 2.18×107
The addition of the expression (1.38×10⁴) + (8×10³) written in scientific notation is "9 point 3 8 times 10 to the 7th power". option C
Scientific notation(1.38×10⁴) + (8×10³)
= (1.38 + 8) × 10^(4 + 3)
= 9.38 × 10^7
Options:
9 point 3 8 times 10 to the 4th power9.38×10⁴
2 point 1 8 times 10 to the 4th power2.18×10⁴
9 point 3 8 times 10 to the 7th power9.38×10^7
2.18×10^7Therefore, the addition of the expression (1.38×10⁴) + (8×10³) written in scientific notation is "9 point 3 8 times 10 to the 7th power".
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Rafael wants to find the average time it takes Central High School students to run a lap around the track. So he will consider 55 students to find the average
time.
Answer the questions below.
(a) Which unit(s) could be used for the unit of measurement? Check all that apply.
seconds Omilligrams 0 minutes
kilograms
grams
(b) Which of the procedures below would be the best way to find the average time?
O Randomly pick 55 students to run a lap around the track and measure their times.
O Randomly pick 55 students to run a lap around the track and have them state their own times.
O Ask for 55 volunteers to run a lap around the track and have them state their own times.
O Measure the times of 55 volunteers who run a lap around the track.
Answer:
Seconds and Minutes
Step-by-step explanation:
Randomly pick 55 students to run a lap around the track and measure their time.
This is the only option that avoids any type of bias.
b. Name three points coplanar with point B.
FO
OE
G
D
A
B
l
m
P
WILL GIVE BRAINLIEST
To pay for a home improvement project that totals $11,000, Genesis is choosing between taking out a simple interest bank loan at 6% for 3 years or paying with a credit card that compounds monthly at an annual rate of 16% for 6 years. Which plan would give Genesis the lowest monthly payment?%0D%0A%0D%0A The monthly credit card payment would be $396.49, which is lower than the monthly payment on the bank loan.%0D%0A The monthly payment on a bank loan would be $360.56, which is lower than the monthly credit card payment.%0D%0A The monthly credit card payment would be $354.44, which is lower than the monthly payment on the bank loan.%0D%0A The monthly payment on a bank loan would be $323.89, which is lower than the monthly credit card payment.
Using the monthly payment formula, it is found that the best plan is given by:
The monthly credit card payment would be $238.37, which is lower than the monthly payment on the bank loan.
What is the monthly payment formula?It is given by:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which:
P is the initial amount.r is the interest rate.n is the number of payments.For the simple interest payment method, the parameters are given as follows:
r = 0.06, n = 3 x 12 = 36, P = 11000, r/12 = 0.06/12 = 0.005.
Hence:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]A = 11000(0.005)\frac{(1.005)^{36}}{(1.005)^{36} - 1}[/tex]
A = 334.64.
For the credit card payment method, the parameters are given as follows:
r = 0.16, n = 6 x 12 = 72, P = 11000, r/12 = 0.16/12 = 0.0133.
Hence:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]A = 11000(0.0133)\frac{(1.0133)^{72}}{(1.0133)^{72} - 1}[/tex]
A = 238.37.
The monthly credit card payment would be $238.37, which is lower than the monthly payment on the bank loan.
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PLEASE help with this problem in math!!
Which postulate proves the two triangles are congruent
Based on the side-angle-side congruent theorem/postulate, both triangles are congruent. the answers is SAS.
What is the Side-angle-side Congruence Theorem (SAS)?The side-angle-side congruence theorem (SAS) means that two triangles have two pairs of sides that are congruent to each other with a pair of included congruent angles in between the two pairs of congruent sides of both triangles, and thus, both triangles must be congruent to one another.
The diagram shows two triangles that share a common side which is a pair of congruent sides. It also shows a pair of another congruent sides that is marked congruent.
Also, we have a pair of included congruent angles that both triangles have.
Therefore, based on the side-angle-side congruent theorem/postulate, both triangles are congruent. the answers is SAS.
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prove 2/sqrt3cosx+sinx=sec(pi/6-x)
Thus L.H.S = R.H.S that is [tex]\frac{2}{\sqrt{3} cosx + sinx }[/tex] = [tex]sec(\frac{\pi }{6-x} )[/tex] is proved
According to the question we have been given that
[tex]\frac{2}{\sqrt{3} cosx + sinx }[/tex] = [tex]sec(\frac{\pi }{6-x} )[/tex]
And we need to prove that left hand side is equal to the right hand side.
To prove this we will solve the right-hand side of the equation first with the help of trigonometry identity. The right hand side of the equation is :
R.H.S = [tex]sec(\frac{\pi }{6-x} )[/tex]
= [tex]\frac{1}{cos(\frac{\pi }{6-x} )}[/tex]
[As secƟ = 1/cosƟ)
= [tex]\frac{1}{\frac{cos\pi }{6cosx} + \frac{sin\pi }{6sinx} }[/tex]
[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]
[tex]=\frac{1}{\frac{\sqrt{3} }{2}cosx + \frac{1}{2}sinx } \\= \frac{1}{\frac{\sqrt{3}cosx + sinx }{2} }\\=\frac{2}{\sqrt{3}cosx + sinx}[/tex]
R.H.S = L.H.S
or L.H.S = R.H.S
Hence [tex]\frac{2}{\sqrt{3} cosx + sinx } = sec(\frac{\pi }{6-x})[/tex] is proved
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in science class, the average score on a lab report is 87 points, with all students scoring within 1.8 points of the average. if x represents a student's score, write an equation that represents the minimum and maximum scores. |x − 87|
The equation representing the minimum and maximum scores |x-87| = 1.8
Given that the average score on a lab report is 87 points. All students score within 1.8 points of the average.
Let 'x' be the score of student. The maximum and minimum score of a student lies within 1.8 points of the average.
Then, maximum score of a student, x = 87+1.8
and minimum score of a student, x = 87-1.8
Combining these two equations, we get, x = 87 ±1.8
Or, more conveniently, |x-87| = 1.8 represents the minimum and maximum scores obtained by a student.
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Solve the following equation for q
7p-5q=-35
Answer:
q = [tex]\frac{7}{5}[/tex]p + 7
Step-by-step explanation:
7p -5q = -35 Subtract 7p from both sides of the equation
-5q = -7p - 35 /Dive all the way through by -5
q = [tex]\frac{7}{5}[/tex]p + 7
What is the area??? Please help!!!
Answer:
169 squared I think,hope this helps
A boat is currently 63 miles from its destination and is traveling against a river current. The boat travels 10 miles per hour (mph) in still water. The boat's distance from its destination is given by the following formula. D=63-h(10 - c) Given: D = distance in miles, h = number of hours, c = speed of the river's current in mph What is a correct formula for the boat's distance from its destination after 3 hours
The distance of the boat from its destination depends on
Speed of the boatSpeed of the river currentDirection of the river current.So with these factors, the distance of the boat from its distance can be calculated.
The distance of the boat from the destination currently is 63 miles
Speed of the boat is 10 miles / hr
Let c be the speed of the river current and
h be the number of hours to reach a particular destination
So, the formula to find the distance of the boat from destination is given by
D = 63 - h(10 - c)
We need to find the formula for boat's distance from its destination after 3 hours
Thus h = 3 hrs
Let us substitute h in above equation, Then
D = 63 - 3(10 - c)
D = 63 - 30 - 3c
D = 33 - 3c
which is the formula for the boat's distance from its destination after 3 hours.
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