Answer:
49% and 30% respectively
Step-by-step explanation:
Step one:
Given data
Principal = Rs. 4,200
Final Amount= Rs. 9282 respectively
time = 2 years and
time = 4 years
Required
The rate of interest for 2 and 4 years
Step two:
the compound interest formula is
A= P(1+r)^t
for 2 years
Substitute
[tex]9282= 4200(1+r)^2\\\\9282/4200= (1+r)^2[/tex]
[tex]1+r= \sqrt{\frac{9282}{ 4200} }\\\\1+r= \sqrt{2.21} \\\\1+r= 1.49\\\\r=1.49-1\\\\r= 0.49\\\\[/tex]
the rate is 49%
For 4 years we have
[tex]9282= 4200(1+r)^4\\\\9282/4200= (1+r)^4[/tex]
[tex]1+r= \sqrt[4]{\frac{9282}{4500} } \\\\1+r=\sqrt[4]{2.21} \\\\1+r= 1.30\\\\r=1.30-1\\\\r= 0.30\\\\[/tex]
the rate is 30%
Which must be true? Select two options. Point H is the center of the circle that passes through points D, E, and F.
Point H is the center of the circle that passes through points L, M, and N.
Line segment H E is-congruent-to line segment H D
Line segment L H is-congruent-to line segment N H
Line segment F L is-congruent-to line segment F N
Answer:
A. Point H is the center of the circle that passes through points D, E, and F.
C. Line segment H E is-congruent-to line segment H D
Step-by-step explanation:
The center of a circle is a point within it that has the same distance to all other points on its circumference.
Constructing a circle with center H would pass through the points D, E and F at the three vertices of the given triangle. Thus producing a circumscribed circle to the triangle. A circumscribed circle is one that can is constructed outside a given figure.
It can also be observed that, DH ≅ EH ≅ FH. So that, the line segment HE is congruent to line segment HD.
The correct options in the given question are: A and C.
Answer:
A. Point H is the center of the circle that passes through points D, E, and F
C. HC≈HD
In the first quadrant, you start at (1,3) and move 2 units right What point will you end up on?
Answer:3,3
Step-by-step explanation:
The point on which we will end up on is (3,3).
We are given that;
The starting point (1,3)
Number of units= 2
Now,
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
To find the point where you end up after moving 2 units right from (1,3), you need to add 2 to the x-coordinate of (1,3) and keep the y-coordinate the same.
This is because moving right along a horizontal line does not change the y-value, but increases the x-value by the amount of units moved.
(1 + 2, 3) = (3, 3)
Therefore, by algebra the answer will be (3,3).
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Please help me I will give 12 points
Answer:
5/8
Step-by-step explanation:
=3/8×5/3
=5/8
Hope this helps u....
Answer:
3/8 divided by 3/5
3/8 multiplied by 5/3
5/8 is the answer of this question
Find a common denominator for the pair of factions.then,write equivalent fractions with the common denominator 8/15 and 1/3
what is a common denominator ?
A.8
B.3
C.15
D.24
Answer:
c. 15
Step-by-step explanation: 15 is divisible by 3
solve for x
29=4x-11
Answer:
The Right Answer is X=10
a girl was asked about her age and she said she is half her mothers age and she was asked how old was her mother and she said i dont know but my mom is 5 years younger than my dad and we asked how old is your dad and she said i dont know but the sum of our ages is equal to 100years.how old is the dad ,the mom and the girl?
Answer: girl- 19yr old mom- 38yr old dad- 43 yr old
Step-by-step explanation:
5x+5=100
5x-5=100-5
5/5x=95/5
x=19
2(19)=38
38+5=43
what is the expression for "the difference of 3 and 5times a number"?
answering
3 - 5n
(3 - 5)n
5 - 3n
Answer:
3-5n is the correct answer
20 POINTS and BRAINLIEST
Solve the simultaneous equation!
Answer:
x=3 y=-1
Step-by-step explanation:
Answer:
X=3 and
Y=-1
and good luck for your test
Which scatterplot demonstrates a non-linear relationship between x and y?
Answer:
D, or the bottom right.
Step-by-step explanation:
The right lower (U shape) scatter plot : demonstrates a non linear relationship between x & y.
The straight scatter plots denote linear relationships.
The upward sloping curve shows direct or positive linear relationship. The downward sloping curve shows inverse, indirect or negative positive relationship.
The scatter plot parallel to x axis, denotes constant values of y at various levels of x.
The parabolic U shaped curve demonstrates a non linear, ie quadratic relationship between dependent variable y & independent variable x.
To learn more, refer https://brainly.com/question/21839842?referrer=searchResults
1/2 x 3/10 in simplest form
Answer: 3/10
Step-by-step explanation: 1/2 x 3/10 = 3/20 and we can’t simplify that.
Answer:
The simplest form of 1/2 x 3/10 would be 3/20
If you need it in decimal form it's: 0.15
For every 3 days of vacation, Lisa packs 4 outfits. which statement is true? i have no idea im learning ratios and unit rates
Answer:
does it show you any statements or are you supposed to find one yourself?
Evaluate the expression 2ac is a = 1/2 and c = 9.
Answer:
9
Step-by-step explanation:
the expression is 2ac, so multiply everything together
2 * 1/2 = 1
1 * 9 = 9
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What is true about the rise of all horizontal lines ?the rise is
Answer:
left to right
Step-by-step explanation:
Answer:
the slope is 0
Step-by-step explanation:
i know this because i asked a math teacher
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
Answer:
9.8 because of the rate that is given
Step-by-step explanation:
if santa eats 20 chimichangas on christmas eve and 40 chimichangas on christmas day how much did he eat in all
Answer:
Total he ate 60 chimichangas.
Step-by-step explanation:
Since he ate 20 on christmas eve and 40 on christmas day you would add 20 plus 40 to get a total of 6.
Answer:
60
Step-by-step explanation: santas a xxxxxxxxxxL size in his suit
in conclusion santa is fat
what is x+5x+2-4x=+2
Answer:
the solution is this:
x= -2
Rachel has a collection of 40 stuffed animals, of the animals, 3/8 are beats and 1/5 are dogs. The rest are other animals. How many other animals does she have?
Answer:
17 animals
Step-by-step explanation:
Rachel has a collection of 40 stuffed animals
3/8 are bears
= 3/8 ×40
= 120/8
= 15
1/5 are dogs
= 1/5×40
= 40/5
= 8
15+8
= 23
Therefore the number of animal she have left can be calculated as follows
= 40-23
= 17
Hence there are 17 animals left
5
If you scale up the ratio on the left, what will you get for the unknown quantity on the right?
$155
20hours
$465
?
A) 10 hours
B 40 hours
c) 60 hours
D) 100 hours
Answer:60hours
Step-by-step explanation:
465/155×4
=60 hours
e) x(m - n) + 2(m - n).
Answer:
xm-xn+2m-2n
Step-by-step explanation:
Colton is making gift bags. He has 120 small prizes, and puts 3 in each gift bag. He also has 75 larger prizes,and puts 2 in each gift bag. Write the function f(x) that represents how many prizes Colton has left aftermaking x gift bags.
Answer: f(x) = 195 - x*5
Step-by-step explanation:
Colton has 120 small prizes and 75 larger prizes.
Then at the start, he has 120 + 75 = 195 prizes.
In each bag, he puts 3 small prizes and 2 larger prizes, then in each bag there are 3 + 2 = 5 prizes.
Then if he fills x bags, he will have: x*5 fewer prizes, then we can write the equation f(x) as:
f(x) = 195 - x*5
Where when x = 0, this means that he filled zero bags, then he has the initial amount of prizes, 195.
Use the picture below to answer questions 14a and 14b
14a) What is the value of x?
14b) What is the measure, in degrees, of angle BDE?
Answer:
x = 35, ∠ BDE = 130°
Step-by-step explanation:
(4x - 10) and (x + 95) are corresponding angles and are congruent, then
4x - 10 = x + 95 ( subtract x from both sides )
3x - 10 = 95 ( add 10 to both sides )
3x = 105 ( divide both sides by 3 )
x = 35
Thus
∠ BDE = 4x - 10 = 4(35) - 10 = 140 - 10 = 130°
use a proportion to find the length of side x for the pair of similar figures
Answer:
30.8
Step-by-step explanation:
1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.
2. Set the ratios equal to each other.
14/10 = x/22
3. Cross multiply and solve for x.
14 x 22 = 308
10 x x = 10x
4. Divide by 10
x = 30.8
Answer:
30.8cm they are correct
Step-by-step explanation:
i am from connexus 8th grd pre algrabra
unit 5 lesson 3
1. 1:2
2. C. yes they are similar they have porportional side lengths and = ange measures
3. x = 4.5m
4. x = 30.8cm
5. x = 6 m
Suzette is opening an office cleaning business. Her competitor charges $35 per hour plus a $42 cleaning supply fee. Which inequality could be used to represent the situation where Suzette’s charges, S, would be no more than her competitor’s charges?
Answer:
[tex]S\le 35h+42[/tex]
Step-by-step explanation:
Given that:
Cleaning supply fee charged by the competitor = $42
The charges by competitor per hour = $35
Let the number of hours = [tex]h[/tex] hours
Charges for [tex]h[/tex] number of hours = Number of hours multiplied by Charges per hour = $35[tex]h[/tex]
Now, total charges by the competitor = Charges for [tex]h[/tex] number of hours + Charges by the competitor = $35[tex]h[/tex] + 42
Charges of Suzette's = [tex]S[/tex]
As per question statement, the Suzette's charges can not be more than the competitor charges. Therefore Suzette's charges must be lesser than or equal to the competitor charges.
So, the inequality can be written as:
[tex]S\le 35h+42[/tex]
Where [tex]h[/tex] represents the number of hours.
Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number
Answer:
The answer is below
Step-by-step explanation:
Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number from coop D. How many eggs did each coop produce
Solution:
a) Let the number of eggs from coop A be w, number of eggs from coop B be x, number of eggs from coop C be y and number of eggs from coop D be z.
x = 2/5(w - 10) (1)
y = (3(w + 3) - 4)/4
y = (3w + 5) / 4 (2)
z = 2(w + 7)/3 (3)
b) Given that w = 125 eggs:
x = 2/5(125 - 10) = 46 eggs
y = (3(125) + 5) / 4 = 95 eggs
z = 2(125 + 7)/3 = 88 eggs
c) x + y = z + 24.
i.e. 2/5(w - 10) + (3w + 5)/ 4 = 2(w + 7)/3 + 24
multiply through by 60:
24w - 240 + 45w + 75 = 40w + 280 + 1440
69w - 165 = 40w + 1580
29w = 1885
w = 65 eggs
x = 2/5(65 - 10) = 22 eggs
y = (3(65) + 5) / 4 = 50 eggs
z = 2(65 + 7)/3 = 48 eggs
12 bars of soap for $10.00 or 5 bars of soap for $4.00.
Answer:
12 bars for $10.00
Step-by-step explanation:
6 of 10
As an estimation we are told £3 is €4.
Convert €32 to pounds.
A company that makes hair-care products had 200 people try a new shampoo. Of the 200 people, 12 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
A - 16.66666...%
B - 24 people
C - 6%
D - 6 people
Answer:
24
Step-by-step explanation:
first you multiply 200 by 12, Then you divide that by 100. your final product is 24, hope that helps
Answer:
C. 6%
Step-by-step explanation:
First we need to divide the amount of people who got the allergic reaction by how many people were there.
So: 12 ÷ 200 = 0.06
Now, we need to multiply 0.06 by a whole percent, the whole percent is 100.
So: 0.06 × 100 = 6
6% of the people had a mild allergic reaction.
What is the 20th term for the following sequence?
3,-9, 27,-81, ...
Answer: -3486784401
Step-by-step explanation:
This is a geometric progression and the formula to use to find the nth term will be: = ar^(n-1)
where,
a = 3
r = -9/3 = -3
n = 20
Therefore, ar^(n-1)
= 3 × -3^19
= 3 × -1162261467
= -3486784401
find the percent of the number
105% of 400
Answer:
105% of 400 is 420, the percent is 42000%
Step-by-step explanation:
Amelia started a puzzle at 12:56 p.m. and solved it at 2:33 p.m.
How long did it take Amelia to solve the puzzle?
Step-by-step explanation:
12:56pm to 1:00pm = 4 min
1:00pm to 2:00pm = 1 hour
2:00pm to 2:33pm = 33 min
Total time = 4 min + 1 hour + 33 min = 1 hour 37 minutes.