Kavya deposit 8500 in a bank which pays her 12% interest per annum compounded quarterly what is the amount which see received after 9 months
2/9 of the students in a school are in sixth grade.
How many students are in the school if 42 of them are sixth graders?
Answer:
189 students
Step-by-step explanation:
A principal of $7000 is invested in an account paying an annual rate of 7%. Find the amount in the account after 5 years if the account is compounded semiannually, quarterly, and monthly. (a) The amount in the account after 5 years if the account is compounded semiannually is? (Round to the nearest cent.)
Answer:
$2,874.19
Step-by-step explanation:
Hope this helps
A number is divided by 3 and increased by 6. The answer is 14.
Which of the following equations matches this statement?
3x + 6 = 14
Answer:
x/3 + 6 = 14
Step-by-step explanation:
(0,7)(6,-3) find the slope
Answer:
-5/3
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3 -7)/(6-0)
= -10 / 6
= -5/3
1/3 of 5/8 as a fraction
Answer: how are you doing this tho
Step-by-step explanation:
The 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
1/3 of 5/8 as a fraction
Let x be the fraction:
x = 1/3 of 5/8
Or
x = (1/3)(5/8)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
After multiplication:
x = 5/24
Thus, the 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
Learn more about the fraction here:
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The amount spent on movie tickets for 8 people is shown on the dot plot.
X
x
58.00
59.00
$10.00
$11.00
$12.00
Select the data set that matches with this dot plot.
{$10.00, $9.00, $11.00, $9.00, $9.00, $11.00, $12.00, $11.00}
{$10.00, $11.00, $12.00, $12.00, 59.00, $10.00, $9.00, 59.00}
{$10.00, $10.00, $12.00, $12.00, $9.00, 59.00, $10.00, $10.00}
(59.00, $12.00, $10.00 $9.00, $9.00, $9.00. S10.00, S11.00}
Type here to search
Answer:
math way can help
Step-by-step explanation:
In a class of 32 students, 16 students study Spanish, 14 students are in band, 6 students are in both Spanish and band. What is p(Only Spanish Student)?
Answer:
Step-by-step explanation:
16 students study spanish, but 6 student that study spanish are also in the band.
16-6=10
So there are 10 students who only study spanish.
Deanna and Lisa are playing games at the arcade. Deanna started with $15, and the machine she is playing costs $0.75 per game. Lisa started with $13 and her machine costs $0.50 per game. After how many games will the girls have the same amount of money remaining?
Answer: After they've played 8 games, they will have the same amount of money remaining.
Step-by-step explanation:
Represent the number of games by the variable x and the remaining amount of money by the variable y.
Deanna's situation can be represented by the equation y = 15 - 0.75x
Lisa's situation can be represented by the equation y = 13 - 0.50x
Now to find out how many games they will have the same amount of money remaining, you have to use substitution and solve for x.
15 - 0.75x = 13 - 0.50x
-13 -13
2 - 0.75x = - 0.50x
+0.75x +0.75x
2 = 0.25x
x = 8
If Cara works 14 hours, she earns $84. If she works 19 hours, she earns $114. Let y represent the total amount of money that Cara earns working x number of hours. Model a equation and determine if this is a direction or inverse variation. 20 POINTS!!
Answer:
Step-by-step explanation:
14r=84, r=84/14=6, so the hourly rate is $6 an hour so
y(x)=6x
Since this is of the form y/x=k or y=kx it is directly proportional. Inverse proportion is of the form yx=k or y=k/x
AUVW - APOR
W
63
U
V
77
P
66
R
?
2
Q
SOMEONE PLS HELP.
Answer:
x = 54
Step-by-step explanation:
Since both triangles are similar, therefore,
[tex] \frac{UV}{PQ} = \frac{VW}{QR} [/tex]
[tex] \frac{77}{66} = \frac{63}{x} [/tex]
[tex] \frac{7}{6} = \frac{63}{x} [/tex]
Cross multiply
[tex] 7*x = 63*6 [/tex]
[tex] 7x = 378 [/tex]
Divide both sides by 7
x = 54
Two numbers have ratio of 12:5 their difference is 49 find the two numbers
Answer: 84, 35
Step-by-step explanation:
12*7=84
5*7=35
84-35=49
The two numbers are 35 and 84
Let the two numbers be x and y
If the ratio are in 12: 5, hence:
x/y = 12/5
5x = 12y
x = 12y/5
If their difference is 49, then;
x - y = 49 .................. 2
12y/5 - y = 49
7y/5 = 39
7y = 49 * 5
y = 7 * 5
y = 35
Recall that x - y = 49
x = 49 + y
x = 49 + 35
x = 84
Hence the two numbers are 35 and 84
Learn more on equations here: https://brainly.com/question/14323743
MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500.
a. What are the expected value, the standard deviation, and the shape of the sampling distribution of?
b. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?
c. What is the probability that the average aptitude test in the sample will be greater than 82.68?
d. What is the probability that the average aptitude test in the sample will be less than 78.69?
e. Find a value, C, such that P(( x>C) = .015.
Answer:
a) The expected value is 75, the standard deviation is 3 and the shape is approximately normal.
b) 0.9387 = 93.87% probability that the average aptitude test in the sample will be between 70.14 and 82.14.
c) 0.0052 = 0.52% probability that the average aptitude test in the sample will be greater than 82.68.
d) 0.8907 = 89.07% probability that the average aptitude test in the sample will be less than 78.69.
e) C = 81.51.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15.
This means that [tex]\mu = 75, \sigma = 15[/tex]
a. What are the expected value, the standard deviation, and the shape of the sampling distribution of?
By the Central Limit Theorem, it will be approximately normal, with expected value [tex]\mu = 75[/tex] and standard deviation [tex]s = \frac{15}{\sqrt{25}} = 3[/tex].
b. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?
This is the pvalue of Z when X = 82.14 subtracted by the pvalue of Z when X = 70.14.
X = 82.14
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{82.14 - 75}{3}[/tex]
[tex]Z = 2.38[/tex]
[tex]Z = 2.38[/tex] has a pvalue of 0.9913.
X = 70.14
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{70.14 - 75}{3}[/tex]
[tex]Z = -1.62[/tex]
[tex]Z = -1.62[/tex] has a pvalue of 0.0526
0.9913 - 0.0526 = 0.9387
0.9387 = 93.87% probability that the average aptitude test in the sample will be between 70.14 and 82.14.
c. What is the probability that the average aptitude test in the sample will be greater than 82.68?
This is 1 subtracted by the pvalue of Z when X = 82.68. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{82.68 - 75}{3}[/tex]
[tex]Z = 2.56[/tex]
[tex]Z = 2.56[/tex] has a pvalue of 0.9948.
1 - 0.9948 = 0.0052
0.0052 = 0.52% probability that the average aptitude test in the sample will be greater than 82.68.
d. What is the probability that the average aptitude test in the sample will be less than 78.69?
This is the pvalue of Z when X = 78.69. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{78.69 - 75}{3}[/tex]
[tex]Z = 1.23[/tex]
[tex]Z = 1.23[/tex] has a pvalue of 0.8907.
0.8907 = 89.07% probability that the average aptitude test in the sample will be less than 78.69.
e. Find a value, C, such that P(( x>C) = .015.
This is X when Z has a pvalue of 1 - 0.015 = 0.985. So X when Z = 2.17.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]2.17 = \frac{X - 75}{3}[/tex]
[tex]X - 75 = 3*2.17[/tex]
[tex]X = 81.51[/tex]
So C = 81.51.
Olivia walks up to a tank of water that can hold up to 50 gallons. When it is active, a drain empties water form the tank at a constant rate. When Olivia first sees the tank, it contains 38 gallons of water. Four minutes later, the tank contains 18 gallons of water.
a.) At what rate is the amount of water in the tank changing? Use a signed number and include the unit of measurement in your answer.
b.) How many more minutes will it take for the tank to drain completely?
c.) How many minutes before Olivia arrived was the water tank completely full?
Answer:
C
Step-by-step explanation:
I got the answer C because if the estimated value of the tank is 50 and it gets drained it will only have 18 gallon in it
5%
3.36m inutos
2.24mi nutos
Alvin's age is two times Elga's age. The sum of their ages is 81. What is Elga's age?
Answer:
Elga is 27 years old
Step-by-step explanation:
AGE
Alvin 2x
Elga x
x+2x = 81
81=3x
81/3=x
x=27
Hope this helps! (:
Answer:
20.25
Step-by-step explanation:
81 = (x*2)*2
81 ÷2 ÷2 = x
x = 20.25 or 20 and 1/4
which function is linear? Select all that apply.
A y=6x3+8
B y=4x3+2
C y=x+1
D y=2x+8
Answer:
C and D
Step-by-step explanation:
I'm guessing the 3 in A and B are exponents, only equations with an highest exponent of 1 is linear
can someone please help me
Answer:
AB = 10
CW = 8
angle BAD = 50
angle CDB = 65
angle DWA = 90
angle WCD = 25
Step-by-step explanation:
use the known facts that a rhombus = 360 degrees, pythagorean theorem, etc. if you want a full explanation lmk and i can edit my response
help pleaseeeeeeeeeee!!!!!
16.1 + d = 22; d = 6.1
Answer:
16.1 + 6.1=22
that is not equal because it will give you 22.2
as the answer hope this helps
have a good day :)
Step-by-step explanation:
Niles scored 70, 74, 72, 71, 73, and 96 on his 6 Geography test. Calculate the mean and median.
Answer:
Mean=76
Median=72.5
Step-by-step explanation:
Mean= 70+71+72+73+74+96
456/6=76
Median = 70,71,72,73,74,96
72+73=145/2=72.5
Mean= 76
Median= 72.5
The first step is to rearrange the numbers
70, 71, 72, 73, 74, 96
1. mean= sum of terms/number of terms
= 70+71+72+73+74+96/6
= 456/6
= 76
2. Median can be described as the middle number, the median can be calculated as follows
= 72+73/2
= 145/2
= 72.5
Hence the mean is 76 and the median is 72.5
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The slope of the line below is - 1/7. Write a point-slope equation of the line
using the coordinates of the labeled point.
O A. y+3 --=(x +3)
O B. y-3--4(x-3)
O C. y+3 = (x+3)
O D.y-3 = {(x-3)
Answer:
Option B. y – 3 = –1/7(x – 3)
Step-by-step explanation:
From the question given above, the following data were obtained:
Slope (m) = –1/7
Coordinate = (3, 3)
x₁ coordinate = 3
y₁ coordinate = 3
The equation of the line can be written as follow
y – y₁ = m(x – x₁)
y – 3 = –1/7(x – 3)
Factor each completely :
NEED THIS ANSWER ASAP
Answer:
4) 7k² + 9k
= k(7k + 9)
5) x² - 25
= (x)² - (5)².
(a² - b²) = (a+b)(a-b)
= (x - 5)(x + 5)
Find the perimeter of ABHG. Round your answer to the nearest tenth of an inch.
Answer:
Step-by-step explanation:
WHAT IS 3³ . (12 - 2) ÷ 2?
Answer:
if the period is a multiplication sign then its 135
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
following the PEMDAS rule, of course
Can anyone help me please
Answer:
y = 120
Step-by-step explanation:
y = 4x (corresponding angles)
y + 2x = 180
substitute the value of y into the second equation
4x + 2x = 180
6x = 180
x = 30
now that we have the value of x, plug it into either equation and solve for y
y = 4 (30)
y = 120
WHO CAN ANSWER THIS TOOO
Width of the enlarged photograph = 14 cm
Steps to derive the correct answer :Length of a small photograph = 6 cm
Width of a small photograph = 4 cm
Length of the photograph when enlarged = 21 cm
Let the width of the photograph when enlarged be x.
Which means :
[tex] = \tt 4 : 6 : : x : 21[/tex]
[tex] =\tt \frac{4}{6} = \frac{x}{21} [/tex]
[tex] =\tt 4 \times 21 = 6 \times x[/tex]
[tex] =\tt 84 = 6x[/tex]
[tex] =\tt x = \frac{84}{6} [/tex]
[tex] =\tt x = 14[/tex]
Thus, the value of x = 14
Therefore, the width of the enlarged photograph = 14 cm
Pls someone help me if you can !!
Answer:
1890 cubic inches
250% as a fraction in simplest form
Answer:
I think 1/4
Step-by-step explanation:
1000% ÷ 4 =250%
Step-by-step explanation:
(250÷50)/(100÷50) = 5/2 when reduced to the simplest form.
WILL MARK BRAINLIEST! Kody’s alarm rings every 11 minutes, and his dad calls upstairs every 15 minutes to wake him up. But Kody will only wake up if his alarm rings and his dad calls him at the same time. If his alarm first rings at 7:00 a.m. and his dad first calls him at 7:05 a.m., at what time will Kody wake up?
Answer:
10:15
Step-by-step explanation:
George walks to a friend's house.
Answer:
George is a good friend :)
Step-by-step explanation:
write a word problem that can be modeled by the equation x + 5 = 12
Answer:
x=7
Step-by-step explanation:
x+5=12
-5 -5
x=7