Answer:
The answer is below
Step-by-step explanation:
The compound interest is given by the formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where A is the final amount, p is the principal (initial amount), r is the rate, t is the number of period and n is the number of times it was compounded per period.
Given that:
The interest is compounded yearly, i.e n = 1, for 1 year, t = 1, the compound interest is Rs 450 i.e A = 450. Therefore:
[tex]450=P(1+\frac{r}{1} )^{1*1}=P(1+r)\\450=P(1+r).\ .\ .\ (1)[/tex]
For 2 year, t = 2, the compound interest is Rs 945 i.e A = 945. Therefore:
[tex]945=P(1+\frac{r}{1} )^{1*2}=P(1+r)^2\\945=P(1+r)^2.\ .\ .\ (2)[/tex]
Dividing equation 2 by equation 1 gives:
2.1 = 1 + r
r = 2.1 - 1 = 1.1
r = 1.1
Put r = 1.1 in 450 = P(1 + r)
450 = P(1 + 1.1)
450 = 1.11P
P = 405.4
Therefore the rate is 1.1 = 110% and P = Rs 405.4
Nikki works at a store that sells consumer electronics. She earns $12 per hour, plus a commission of 5% of her total sales amount each day. Nikki worked 8 hours on Saturday. Including her commission, Nikki earned a total of $139 on Saturday. Which equation can be solved for x, Nikki’s total sales amount in dollars on Saturday?
Answer:
See below.
Step-by-step explanation:
So, Nikki earns $12 per hour.
And she also earns a 5% or 0.05 commission of her total sales each day.
On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.
Thus:
[tex]139=96+0.05x[/tex]
Where x represents Nikki's total sales on Saturday.
Further notes:
To solve, subtract 96 from both sides and divide by 0.05:
[tex]139=96+0.05x\\43=0.05x\\x=\$860[/tex]
Thus, her total sales that day were $860.
Which expression is equal to – 3i(4 – 2i)?
-61
0-6 – 12i
O 6 – 12i
-12 – 6i
Answer:
-23
Step-by-step explanation:
-3i(4-2i)?
-61
0-6-12i
-12-6i
An expression that is equivalent to -3i(4 - 2i) is: B. -6 - 12i.
What is the distribution property of multiplication?The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.
Note: i² is equal to -1 and i is equal to [tex]\sqrt{-1}[/tex].
By applying the distributive property of multiplication to the given expression, we have:
-3i(4 - 2i) = -3i(4) + 3i(2i)
-3i(4 - 2i) = -12i + 6(-1)
-3i(4 - 2i) = -12i - 6.
-3i(4 - 2i) = -6 - 12i.
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How do you know if two line segments are parallel?
A. The slope of one is the negative of the slope of the other.
OB. Their slopes are equal.
C. Their slopes are reciprocals.
D. Their slopes are negative reciprocals.
Answer: B Their slopes are equal.
Step-by-step explanation:
Two line segments are parallel if and only if their slopes are equal.
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Two line segments are parallel if and only if their slopes are equal.
If the slopes of two lines are equal, then they have the same steepness and will never intersect.
However, if the slopes are different, the lines will intersect at some point, and they will not be parallel.
Thus,
Two line segments are parallel if and only if their slopes are equal.
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solve lim x->0 (1+sinx)/cosx
Answer:
1
Step-by-step explanation:
(1+sinx)/cosx
(1+sin0)/cos0
(1+0)/1
1/1
1
:. Lim x->0 =1
what is the sum and product of x^2+12x+32=0? pls help me
Answer:
Sum= -12
Product=32
Step-by-step explanation:
[tex]x^2+12x+32=0[/tex]
By factorization, we get
[tex]x^2+4x+8x+32=0\\x(x+4)+8(x+4)=0\\(x+4)(x+8)=0\\[/tex]
Therefore, the roots of the equation are = -4,-8
Sum of the roots =[tex]\alpha+\beta =\frac{-b}{a}[/tex]
[tex]\alpha +\beta[/tex]=[tex]-8-4=-12[/tex]
Product of the roots=[tex]\alpha \beta =\frac{c}{a}[/tex]
[tex]\alpha \beta =8*4=32[/tex]
Evaluate the following expression where x = 6, y = 24andz = 4 z(-y+x)
Answer:
-96+24= -72 or just -72
Step-by-step explanation:
4(-24+6)
-96+24= - 72
put the values of x,y and z
4(-24+6)
4(-18)
= -72
-4.75 = x/2 what is x
Answer:
x= -9.5
Step-by-step explanation:
We want to find out what the variable, x, is equal to. Therefore, we must isolate the variable on one side of the equation.
-4.75 = x/2
x is being divided by 2. The inverse of division is multiplication. Multiply both sides of the equation by 2.
2*(-4.75) = (x/2)*2
2*(-4.75)=x
2* -4.75=x
Multiply 2 and -4.75
-9.5=x
Let's check our solution. Plug -9.5 back in for x and solve.
-4.75= x/2
-4.75= -9.5/2
-4.75= -4.75
This checks out, so we know our solution is correct.
x is equal to -9.5
Answer:
[tex]x = \frac{19}{2} [/tex]
Step-by-step explanation:
[tex] \frac{x}{2} = - 4.75[/tex]
First convert the decimal to an improper fraction
That's
[tex] - 4.75 = - \frac{19}{4} [/tex]
So we have
[tex] \frac{x}{2} = - \frac{19}{4} [/tex]
Cross multiply
4x = - 38
Divide both sides by 4
We have the final answer as
[tex]x = \frac{19}{2} [/tex]
Hope this helps you
OA) 30°
O B) 60°
D) 50°
OC) 90°
Answer:
A) 30°
Step-by-step explanation:
Sum of three angles of a triangle = 180°
75° +75° + ∠WYZ = 180°
Add like terms
150° + ∠WYZ = 180°
Subtract 150°from both sides
∠WYZ = 180 - 150
∠WYZ = 30°
I NEED HELP PLZ!!!!! ASAP
Answer:
[tex]AB \approx 70.7[/tex]
Step-by-step explanation:
This is a right triangle.
We have sides:
[tex]BC=52[/tex]
[tex]AC=48[/tex]
In order to find the other side, you can use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
as 'c' equal to the hypotenuse and, 'a' and 'b' are legs or cathetus.
For this triangle,
[tex]AC^2+BC^2=AB^2[/tex]
[tex]48^2+52^2=AB^2[/tex]
[tex]2304+2704=AB^2[/tex]
[tex]AB=\sqrt{5008}=4\sqrt{313}[/tex]
[tex]AB \approx 70.7[/tex]
Louise Gaines is paid a bi-weekly salary of $6,000. To date, she has earned $96,000. Her filing
status is Head of Household.
What is her Social Security tax withholding for this pay period?
Answer:
$5952
Step-by-step explanation:
By the Federal Insurance Contributions Act which is a U.S. payroll tax meant to fund Medicare and Social Security, the FICA tax is shared among the employer and the employee whereby the employers share is 7.65% of the employees gross income and the employees share is also 7.65% of their gross income with 6.2% being for social security and 1.45% being for Medicare.
Louise Gaines, therefore will have 6.2% of $96,000 or $96,000 × 0.062 = $5952 withheld for the period.
Eighty percent of adults drink coffee and seventy percent drink tea. What is the smallest possible percent of adults who drink both coffee and tea?
Answer:
50%
Step-by-step explanation:
Given that Eighty percent ( 80%) of adults drink coffee and seventy ( 70%) percent drink tea.
Let the percent of the adults that drink coffee and tea be y
The total percentage of adults = 100
80 - y + y + 70 - y = 100
150 - y = 100
- y = 100 - 150
Y = 50.
Therefore, the smallest possible percent of adults who drink both coffee and tea is 50 %
A Simpler Answer:
Add together the probabilities.
80%+70%=150%
Therefore we overcounted 50 percent, so the least amount possible is [tex]\boxed{50\%}[/tex]
An underwater canyon begins at 40 feet
below sea level and is 105 feet deep.
What is the elevation of the bottom of
the canyon?
Answer:
145 feet.
Step-by-step explanation:
Given that:
An underwater canyon begins at depth = 40 ft
Depth of canyon = 105 ft
To find:
The elevation of the bottom of the canyon = ?
Solution:
Kindly refer to the image attached for the given dimensions.
A is the sea level.
B is the point at which the canyon starts and
C is the bottom of the canyon.
As per question statement, we are given that:
AB = 40 feet
BC = 105 feet
And we have to find the distance AC = ?
It is clearly observable that:
[tex]AC = AB + BC\\\Rightarrow AC = 40 + 105\\\Rightarrow \bold{AC = 145 ft}[/tex]
So, the elevation of the bottom of the canyon is 145 ft.
Can someone please help me with this problem? A fastpitch softball player signs a six year contract. Her agent expects that she will earn $1,000,000 over the next six years. If the agent is right, how many bonus payments, on average, should the pitcher expect each year? Explain
Answer:
The question is not complete, below is the complete question:
A fastpitch softball player signs a six-year contract. Her agent expects that she will earn $1,000,000 over the next six years. If the agent is right, how many bonus payments, on average, should the pitcher expect each year? Explain
Yearly Salary: $20.000. Bonus for each game that attracts 100+ fans: $8.000.
Answer:
on average, the pitcher expects to earn 18.3 bonuses per year
Step-by-step explanation:
Total amount earned over the next 6 years = $1,000,000
salary per year = $20,000
salary for the next 6 years = 20,000 × 6 = $120,000
Next, let us calculate the amount earned from bonuses:
Total amount earned = amount earned from salaries + amount earned from bonuses
$1,000,000 = 120,000 + Amount earned from bonuses
Amount earned from bonuses = 1,000,000 - 120,000
Amount earned from bonuses = $880,000
Total bonus amount earned over six years = $880,000
Amount of bonus earned per game = $8,000
Number of bonuses received over the next 6 years = (Total bonus earned over six years) ÷ (Amount of bonus earned per game)
Number of bonus received over the next 6 years = 880,000 ÷ 8,000
Number of bonus received over the next 6 years = 110 bonuses
6 years = 110 bonuses
1 year = 110 ÷ 6 = 18.33 bonuses
on average, the pitcher expects to earn 18.3 bonuses per year
Point A is at -7, -3. There are 12 points between A and B. What are possible coordinates for point B?
Answer:
(5,9)
(-19, - 15)
(5, - 15)
(-19, 9)
Step-by-step explanation:
Given that :
Coordinate of point A = - 7, - 3
Number of points between point A and B = 12
Possible coordinate of point B
Possible coordinates of point B:
(-7, - 3) + 12 = (5, 9)
(-7, - 3) - 12 = (-19, - 15)
(-7, - 3) = (-7 +12, -3 - 12) = (5, - 15)
(-7, - 3) = (-7 - 12, - 3 + 12) = (-19, 9)
Hence possible coordinates of be are :
(5,9)
(-19, - 15)
(5, - 15)
(-19, 9)
PLEASE HELP ME QUICKLY In ΔABC,
if m∠CAD = 29°, the m∠DAB is _______
Answer:
it will also be 29°
Step-by-step explanation:
LDAB will be also 29° cuz D is the bisector and at the top the two lines resembles that. So if CAD is 29° then DAB will be also 29°
I hope so it will help ✨
The angle ∠DAB will be equal to 29 degrees.
What is an angle bisector?The line or line segment that divides an angle into two equal halves is known as the internal angle bisector or (interior) bisector. An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively.
Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
Given that in triangle ABC the angle ∠CAD is 29°. Then the angle will be calculated as below:-
The line AD is an angle bisector at point A of the triangle. Then the two angles ∠CAD and ∠DAB will be equal to each other.
∠CAD = ∠DAB
∠CAD = 29°
Therefore, the angle ∠DAB will be equal to 29 degrees.
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What is the value of x?
O 30
O 45
O 55
O 60
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)? Determine the gear ratio for a bike with 45 front teeth and 18 rear sprocket teeth.
Answer:
The answer is 660.4 millimeters in diameter.
Step-by-step explanation:
The wheel is 26 inches in diameter. An inch is 25.4 millimeters. 26 * 25.4 = 660.4
easy 10 points and brainliest :)
Answer:
quadrant 1
Step-by-step explanation:
both of them are positive
Answer:
Quadrant I
Step-by-step explanation:
Since x is greater than zero and y is greater than zero, that means the point (x, y) is to the right and above the origin. Hence, the first quadrant.
Cheers.
(12y2
+ 17y - 4) + (9y2
- 13y + 3) =
Answer:
[tex]21y^{2} +4y-1[/tex]
Step-by-step explanation:
Hello!
[tex](12y^{2} +17y-4)+(9y^{2} -13y+3)[/tex]
For this, we can combine like terms
[tex]12y^{2} +9y^{2}=21y^{2}[/tex]
17y - 13y = 4y
-4 + 3 = -1
Combine the answers and we get
[tex]21y^{2} +4y-1[/tex]
Hope this Helps!
Answer:
21y² + 4y -1
Step-by-step explanation:
(12y² + 17y - 4) + (9y² - 13y + 3) ---- remove parentheses
= 12y² + 17y - 4y + 9y² - 13y + 3
= 12y² + 9y² + 17y - 13y - 4 + 3 -----grouped like terms
= 21y² + 17y - 13y - 4 + 3
= 21y² + 4y - 4 + 3
= 21y² + 4y - 1
Need help with 2,4,6!!!!!!!!!!!!!!
Answer:
m+22=30m+22-22=30-22
m=8
7y=287/7 y=28/7
y=4
12+3p=-312-12+3p=-3-12
3p=-15
3/3 p=-15/3
p=-5
Which of the following functions is not quadratic?
Answer:
f ( x ) = 5x - 5 is not a quadratic function.
The degree of the equation f(x) = 5x – 5 is one, then it is not a quadratic equation. Then the correct option is B.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
If the degree of the equation is not 2, then the function is not a quadratic.
f(x) = 5x – 5, the degree of the equation is one, then it is not a quadratic equation.
Then the correct option is B.
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If all the letters of the English alphabet were written on a piece of paper, over and over again, which letter would be the ten millionth letter to be written?
Answer:
Alphabet J
Step-by-step explanation:
Given
Alphabet: A - Z
Required
Determine which alphabet is at the 10 millionth position
Represent the number of alphabets with n
n = 26
To get the alphabet at the required position, we have to divide 10 million by 26 and note down the remainder
[tex]\frac{10000000}{26} = 384615\ R\ 10[/tex]
The division gives, 384615 remainder 10
This implies that, the alphabet at the 10th position is the same alphabet at the 10 millionth position;
And this alphabet is J
Need help giving 13 points
Joshua spins a spinner twice. The spinner consists of 3 equally spaced colors, Red, Blue, and Yellow. What is the probability that the spinner will stop on green and then yellow? ASAP
Answer:
[tex]\dfrac{1}{9}[/tex]
Step-by-step explanation:
Given a spinner with 3 equally spaced colors Red, Blue, Yellow.
The colors are equally spaced, therefore probability of each color must be same.
i.e. Probability of occurrence of any one color in one spin is [tex]\frac{1}{3}[/tex].
To find:
Probability that spinner will stop one green in first spin and yellow in the second spin = ?
Solution:
As all the colors are equally likely to occur, so
Probability of green color in the first spin, P(G) = [tex]\frac{1}{3}[/tex]
Probability of yellow color in the second spin, P(Y) = [tex]\frac{1}{3}[/tex]
As we can observe that occurrence of any color in the second round of spin is not dependent on the color occurrence in the first spin, therefore these are the independent events.
P(G and Y) = P(G) [tex]\times[/tex] P(Y)
[tex]\Rightarrow P(G\ and\ Y) = \dfrac{1}{3} \times \dfrac{1}{3}\\\Rightarrow P(G\ and\ Y) = \bold{\dfrac{1}{9}}[/tex]
Therefore, the required probability is
[tex]\dfrac{1}{9}[/tex].
Approximate √18 to the nearest whole number.
Answer:
4 is the answer
Step-by-step explanation:
Answer:
hey
√18 = 4.242
Step-by-step explanation:
rounded = 4
4.89 x 2.2 find the product
Answer: Hi!
4.89 * 2.2 = 10.758 (rounded is 10.76 or 10.8)
Tip: Line up the terms vertically and multiply.
Hope this helps!
how many planes contain the same three collinear points?
Answer:
The points are collinear if the slope of any two pair of points is the same. Many infinite planes pass through that line. Thus, there are infinite planes contain the same three collinear plane.
Answer:
infinitely many
Step-by-step explanation:
well if you think about it in a 3D plane
we can make to planes intercept at a line
and we can make another plane that another plane interceptes the other to planes in the same line
and another
and another
...
so we can have three points in the line (collinear) that the planes intercept and we are done
What are some important considerations when conducting cross-cultural research? Is there ever a time when research findings might be free of culture?
Answer:
Following are the relevant factors about cross-cultural research
Step-by-step explanation:
The Cross-cultural also known as the Intercultural studies, it involves work performed across various geographical regions improving student with different cultural backgrounds. While there are several similarities in certain human emotions, feelings, and behavior patterns, delicate differentiation is motivated by religion, political ideology, culture, etc.
It also means that with these distinctions, one could not make assumptions the results to everybody in the world. While most nations are democratic and diverse cos of the enhanced stage of global corporations or organizations, people would stick to their core tenets, traditions, customs or practices, that will make the research difficult to consider as one group. So, cross-cultural research would be the only option and would not shift in the immediate future, as much as the different cultures prevail.identify the property illustrated by the equation 8x(5x9)=(8x5)x9
Answer:
assosiative property
The number of peanuts in bags is normally distributed with a mean of 184.7 peanuts and a standard deviation of 3.3 peanuts. What is the z-score of a bag containing 178 peanuts? Question 6 options: negative 1.42 negative 2.03 negative 2.49 negative 1.65
Answer:
The z-score of a bag containing 178 peanuts is -2.03.
Step-by-step explanation:
A z-score is a normally distributed value with mean 0 and standard deviation 1. The distribution of these z-scores is known as the standard normal distribution.
The formula to compute z-score is:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
The information provided is:
x = 178
μ = 184.7
σ = 3.3
Compute the z-score of a bag containing 178 peanuts as follows:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]=\frac{178-184.7}{3.3}\\\\=-2.03[/tex]
Thus, the z-score of a bag containing 178 peanuts is -2.03.