A sum amount
to rupees 34476 in two and a half years at 4% CI. the sum is
Given:
Amount = Rs. 34476
Rate of compound interest = 4%
Time = [tex]2\dfrac{1}{2}=2.5[/tex] years
To find:
The principal value.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, P is principal value, r is rate of interest and t is time in years.
Putting the given values, we get
[tex]34476=P\left(1+\dfrac{4}{100}\right)^{2.5}[/tex]
[tex]34476=P\left(1+0.04\right)^{2.5}[/tex]
[tex]34476=P\left(1.04\right)^{2.5}[/tex]
[tex]\dfrac{34476}{\left(1.04\right)^{2.5}}=P[/tex]
Now,
[tex]P=31256.0090[/tex]
[tex]P\approx 31256[/tex]
Therefore, the value of sum or principal value is Rs.31256.
ILL MARK AS BRAINLEST
Twice Carrie’s age increased by three is equal to twenty-five. Which equation can be used to find Carrie’s age, x?
A.
2(x + 3) = 25
B.
2(3) + 25 = x
C.
2x + 3 = 25
D.
x + 2(3) = 25
Answer:
im pretty sure the answer is c
Simplify
3^-2 × -2^3
Answer:
[tex]\huge\boxed{\boxed{\color{silver} \sf- \frac{8}{9}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] {x}^{ - n} < = > \frac{1}{ {x}^{n} } [/tex]let's solve:[tex] {3}^{ - 2} \times { - 2}^{3} [/tex]
[tex] \frac{1}{ {3}^{2} } \times - 2 \times - 2 \times - 2[/tex]
[tex] \frac{ 1}{9} \times - 8[/tex]
[tex] - \frac{8}{9} [/tex]
Step-by-step explanation:
3^-2 × -2^3
1/3²×-2³
1/9×-8
-8/9
A labor dispute has arisen concerning the distribution of 20 laborers to four different construction jobs. The first job is considered to be very undesirable and requires 6 laborers. The second, third and fourth jobs require 4, 5 and 5 laborers, respectively. The dispute arose over an alleged random distribution of the laborers to the jobs that placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. That is determine the number of ways the 20 laborers can be divided into groups of the appropriate sizes to fill all of the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs.
Answer:
The answer is "0.30%"
Step-by-step explanation:
To assign employees to work, we have to select 6 out of 20 to do work, instead select 4 out of another 14 jobs, 2 to do, and 5 out of another 10 works 3. The other five were going to go do work four. They may decide how often ways of making each of these options. Their service would be how many forms to allocate those four positions to staff. The random sample is from the height.
There are equally estimated that numbers of arrangements with both the four in Job 1.They then allocate all four to work 1. In this situation We must then select 2 out from the 16 existing spaces in job 1, 4 out from the 14 remaining spaces in job 2, 5 out of the 10 existing spaces in job 3 as well as the ones remaining in job 4.
The possibility of any four being at 1 is that they've been all divided by the overall amount of circumstances in 1 task.
[tex]\to \frac{[ \frac{16!}{(2!4!5!5!)}]}{[\frac{20!}{(6!4!5!5!)}]}\\\\\to [ \frac{16!}{(2!4!5!5!)}] \times [\frac{(6!4!5!5!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6\times 5 \times 4 \times 3 \times 2!)}{20!}]\\\\\to 16! \times [\frac{(360)}{20 \times 19 \times 18 \times 17 \times 16!}]\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{360}{116,280}[/tex]
[tex]\to 0.00309597523 \approx 0.30 \%[/tex]
Jacob bought 9 bags of balloons. Each bag has 25 balloons. He fills all the balloon and puts 5 balloons in each bunch. How many bunches can he make please help me
Shen started cleaning at 11:51 AM.
He finished at 1:29 PM.
How long did he clean?
hour(s) and minute(s)
Answer: 1 hour 38 minutes
Step-by-step explanation:
From 11:51 AM to 12:00 PM (noon)
9 minutes
from 12:00 PM to 1:00 PM
1 hour
1:00 PM to 1:29 PM
29 minutes
______________________________
9 minutes + 1 hour + 29 minutes
1 hour 38 minutes
I need help with this whoever can get it right I will mark you brainlest
What is the solution to this system of equations? A.P.E.X btw
A) (4, -2)
B) (-2, 4)
C) (-1, 2)
D) (2, -1 )
The required solution to the system of equations is (x, y) = (-2, 4). Option B is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
To solve this system of equations, we can set the two expressions for y equal to each other, since they both represent the same value of y,
x + 6 = -0.5x + 3
Simplifying and solving for x, we get:
1.5x = -3
x = -2
Now that we have the value of x, we can substitute it into one of the original equations to find the value of y. Using the first equation, we have,
y = x + 6
y = -2 + 6
y = 4
Therefore, the solution to the system of equations is (x, y) = (-2, 4).
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ1
WILL MARK BRAINLEST PLS HELP ME Find the area of the circle. Round to the nearest tenth. Use 3.14 for it.
32 m
The area of the circle is about
m2.
Answer:
[tex]804.3m^2[/tex]
[tex]\pi *16^2=804.24772[/tex]
HELP PLEASE WILL LEAVE GOOD REVIEW.
Answer:
Step-by-step explanation:
He needs 2.5 cm of ribbon left or in easier words 6 cm..-
This figure is made up of a rectangle and parallelogram. What is the area of this figure.
Answer:
area of the parallelogram=6
area of the rectangle=20
total area=26 square units
Simplify: (2x + 8)(7x2 - 9x - 5)
Answer:
-18x^2 -54x + 72
Step-by-step explanation:
I really need help on this please
Answer:
m<S = 92°
Step-by-step explanation:
Opposite angels of a cyclic quadrilateral are supplementary. That is, they sum up to 180°.
<S and <Q are opposite angles of the cyclic quadrilateral given.
m<Q = 88°
Therefore,
m<Q + m<S = 180°
88° + m<S = 180° (substitution)
m<S = 180° - 88° (substraction property of equality)
m<S = 92°
SOLVEEEEEE XXXXXXXxx
Answer:
25 degrees
Step-by-step explanation:
The total angle sum of a triangle is 180 degrees
since the two sides are equal...
(x) + (x) + (4x + 30) = 6x + 30 = 180
==> x = 25 degrees
How long will it take me to read 125 pages if I can read 20 pages in 30 minutes?
Answer:
187.5
Step-by-step explanation:
Three angles of a quadrilateral are 75,120, 90,then the fourth angle..
Answer:
75
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Sum of Angles in a Quadrilateral: 360Step-by-step explanation:
Step 1: Set up
75 + 120 + 90 + ∠4 = 360
Step 2: Solve
Add: 285 + ∠4 = 360[Subtraction Property of Equality] Subtract 285 on both sides: ∠4 = 75(giving brainiest)
A bottle holds 2 pints. A carton holds 3 cups. What is the total the two containers hold in fluid ounces?
A. 6 fluid ounces
B. 32 fluid ounces
C. 56 fluid ounces
D. 66 fluid ounces
Answer:
your answer is c (56 fluid ounces)
Step-by-step explanation:
PLZ HELP PLZ HELP
SELECT ALL MEASURMENTS THAT ARE ABOUT 1 YARD LONG
Length of student desk
Height of classrom'
Width of classroom door
Height of building
Length of a movie ticket
Answer:
c
Step-by-step explanation:
2 numbers have a product of 50 and also have a sum of 14 what are the two numbers x •x and x+x
Answer:
32 and 18
Step-by-step explanation:
This is a question of simultaneous equation.
Let's say the two numbers are x and y.
ATQ,
x+y =50 ——I
x-y=14——II
On adding I and II,
We get 2x=64
Implying x=32
Putting the value of x in equation I,
32+y=50
y=50–32
=18.
The answer is 32 and 18
Find angle picture below!
Answer:
Angle T = 62°; Angle U = 43°; Angle V = 75°
Step-by-step explanation:
First, find x. We know that the interior angles of a triangle will always add up to 180°.
180° = (5x +2)° + (6x + 3)° + (2x + 19)° –––Combine like terms
180° = 13x + 24 –––Subtract 24 from both sides
156° = 13x ––– Divide both sides by 13 to get x alone
12° = x
Now that we know what x is, we can substitute it in the expressions for the angles.
Angle T:
5x +2
5(12) + 2
60 +2
62°
Angle U:
2x + 19
2(12) + 19
24 + 19
43°
Angle V:
6x + 3
6(12) + 3
72 + 3
75°
Check:
They must equal 180° when added together:
75° + 62° + 43° = 180°
75° + 105° = 180°
180° = 180°
8m/3 if m = 12
Evaluate
The length of Juan’s math book is 10.5 inches. What is the approximate length of her book in centimeters?
Answer:
27 cm
Step-by-step explanation:
Give me good senior quotes, best one gets brainliest! : )
Answer:
“The roof is not my son, but I will raise it.” – Anonymous
“I’m gonna go stand outside. If anyone asks, I’m outstanding.” – Taylor Bass
(your name her) was released from his/her/their 4 year sentence
John and Adam are selling candy. John sells 6 pieces of candy for $10. Adam sells 13 pieces of candy for $20. Whose candy costs less?
Answer:
John sells candy at the lowest price.
Step-by-step explanation:
If John sells 6 candies at 10$, then that's what's called a ratio between the price and the candy. We can double the amount of candy and the price to $20 for each 12 candies, $30 for 24, $40 for 36, etc. But it would still maintain the ratio of 6 candies for each 10$. Adam however, sells candy at 13 pieces for $20. We can divide the ratio down to 6.5 candies for 10$. But since we "can't" split a candy in half, we'll round it to 7 pieces for 10$, which costs more than 6 for 10$: Therefore, John sells candy at the lower price.
calculeaza ținând cont de legătură dintre adunare și scadere
Answer:
The explanation is given below:
Step-by-step explanation:
The computation is shown below:
If we add 7 and 2 then it provides 9 and then subtract 2 from 9 it provides 7 and then subtract 7 from 9 it provides 2 and like this way it follows for others two
7 + 2 = 9
9 - 2 = 7
9 - 7 = 2
8 - 3 = 5
5 + 3 = 8
8 - 5 = 3
3 + 7 = 10
10 - 7 = 3
10 - 3 = 7
a new sweater cost $15.99 . if the sweater is on sale for 1/4 its about how much would you save? need help ASAP
Answer:
$4.00 If it's for sale for 1/4 off, then it's $12.00
Step-by-step explanation:
15.99 x 0.25 = 3.99
Answer:
3.9975
Step-by-step explanation
that is the amswer just round or do whatever you need
What is the mean and range of 15 20 18 22 22 28 29
Answer:
Mean = 22
Range = 14
Step-by-step explanation:
pls give brainliest
Simplify (3x − 5) + (3x + 6)
Answer:
6x+1
Step-by-step explanation:
3x+3x=6x
-5+6=1
Answer:
6x+1
Step-by-step explanation:
First remove the parentheses
the combine like terms!
6x+1
Hoped it help!
A hot air balloon is at an altitude of
100 1/5 yards. The balloon's altitude decreases
by 10 4/5 yards every minute. Determine the
number of minutes it will take the balloon to reach an altitude of 57 yards.
Answer:
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
Step-by-step explanation:
Initial altitude:
100 1/5 yards = 100 + 0.2 = 100.2 yards.
Decrease per minute:
10 4/5 yards = 10 + 0.8 = 10.8 yards.
So, after t minutes, the height of the ballon is given by:
[tex]h(t) = 100.2 - 10.8t[/tex]
Number of minutes it will take the balloon to reach an altitude of 57 yards.
This is t for which [tex]h(t) = 57[/tex]. So
[tex]h(t) = 100.2 - 10.8t[/tex]
[tex]57 = 100.2 - 10.8t[/tex]
[tex]10.8t = 43.2[/tex]
[tex]t = \frac{43.2}{10.8}[/tex]
[tex]t = 4[/tex]
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
Trina is cooking her favorite dish. She started with 51/2fluid ounces of vegetable oil. While she cooks, she uses a teaspoon
of vegetable oil, which is 1/6 of a fluid Ounce, x times. After she made the dish, Trina had at least 3 1/3 fluid Ounces of
vegetable oil left. Which statement best describes the number of times she used a teaspoon of vegetable oil?
Answer:
trina used a teaspoon of vegetable oil at most 13 times
Step-by-step explanation:
hope this helps :D