Answer:
In seven years the hourly rate will be $15.79.
Step-by-step explanation:
Giving the following information:
Hourly rate= $10.5
Number of periods= 7 years
Increase rate (i)= 6%
To calculate the hourly rate in 7 years, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 10.5*(1.06^7)
FV= $15.79
In seven years the hourly rate will be $15.79.
What is 9/20 minuets 5/20
Answer:
I'm confused on what you're trying to ask
Answer:
[tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].
Step-by-step explanation:
When subtracting fractions with the same denominator, you keep the base the same and subtract the numerators. In this case, [tex]\frac{9}{20} -\frac{5}{20} =\frac{4}{20}[/tex], and [tex]\frac{4}{20}[/tex] can be simplified into [tex]\frac{1}{5}[/tex], so [tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].
PLEASE HELP AND SHOW WORK PLS QUICK
Noah and Emma are standing on opposite sides of a 43.3 ft tree looking up at Noah’s cat, which is perched at the very top. They are separated by a horizontal distance of 100 ft. The distance from Emma to the cat is 50 ft and her angle of elevation to see the cat is 60°. The distance from Noah to the cat is 86.6 ft and his angle of elevation to see the cat is 30°.
(a) Identify three different trigonometric ratios that could have been used to find the distance x between Emma and the base of the tree. For each trigonometric ratio, determine the distance. Round to the nearest whole number.
(b) Use the Pythagorean theorem to find the distance x between Emma and the base of the tree. Round to the nearest whole number.
Step-by-step explanation:
This is an altitude hypotenuse problem.
Answer:
a) (100-x)/86.6 or x/50
b) 10,000 (86.6^2 + 50^2)
Step-by-step explanation:
To find x you have three options, according to a). So you can use the small triangle, middle or larger triangle
So if you use the small triangle you use the angle of 60 degrees
You have your hypotenuse and you need to find your adjacent
So use cos(60)=x/50
Then use your middle triangle, where you can use 30 and do cos(30) = (100-x)/86.6
for b, use (100-x)^2 = 86.6^2 + 50^2
50^2 = x^2 + 43.3^2
Find the sum of the first 24 terms in the following arithmetic
series:
9+13+17+21+..
Answer:
1212
Step-by-step explanation:
In a rhombus, an altitude from a vertex of an obtuse angle bisects to opposite side. Find het measures of the angles of the rhombus.
Answer:
The angles are : 30° , 90° , 60° and 120°
Step-by-step explanation:
In a rhombus the obtuse angles measure up to 120° while the acute angles measure up to 60°
In other to find the net measure of the angles
we will draw altitude from the vertex to form a right angled triangle and it will as well bisect the opposite side.
let the base of the right angled triangle ( opposite the obtuse angle ) = 1/2 x
side( hypothenuse ) of rhombus = x
sine = opposite / hypothenuse
hence sine x = 1/2 x / x
∴ sin x = 1/2
therefore to determine the value of x
sin^-1 ( x ) = sin^-1 ( 1/2 )
hence ; x = 30
given that the sum of the angles in a triangle = 180 . hence the third angle ( the acute angle ) = 180 - 90 - 30 = 60°
Given that the acute angle and the obtuse angle of a rhombus is supplementary
hence the value of the obtuse angle = 180° - 60° = 120°
The salary of college professors from more than 25,000 universities and colleges in USA is normally distributed with a mean, $85,900 and its standard deviation, $11,000. If you collect a random sample from 35 professors, find the probability that the sample mean is between $70,000 and $100,000?
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mean,\ \sigma=standard\ deviation.\\\\For \ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Therefore given that μ = $85900, σ = $11000, n = 35.
For x > 70000:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{70000-85900}{11000/\sqrt{35} } =-8.55\\[/tex]
For x < 100000
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{100000-85900}{11000/\sqrt{35} } =7.58[/tex]
From the normal distribution table, P(70000< x < 100000) = P(-8.55 < z < 7.58) = P(z < 7.58) - P(z < -8.55) = 1 - 0 = 1 = 100%
What is the slope of the line that passes through the points (-6,3) and (4,8)
A 1/2
B -2
C 2
D -1/2
Answer:
A) 1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-3)/(4-(-6))
m=5/(4+6)
m=5/10
m=1/2
Find the measure of a positive and a negative angle that are coterminal with each of the given angles:
Complete question is;
Find the measures of a positive angle and a negative angle that are co-terminal with each given angle.
8. θ = -25°
9. θ = -390°
Answer:
8) Negative coterminal angle = -385°
Positive coterminal angle = 335°
9) Negative coterminal angle = -750°
Positive coterminal angle = 330°
Step-by-step explanation:
For us to find a positive coterminal angle, we add 360° to the given angle. Whereas to find the negative coterminal angle, we subtract 360 from the given angle.
Thus;
8) for θ = -25° ;
Negative coterminal angle = -25° - 360° = -385°
Positive coterminal angle = -25° + 360° = 335°
9) For θ = -390° ;
Negative coterminal angle = -390 - 360 = -750°
Positive coterminal angle = -390 + 360 = -30°
Since it's negative, we add 360 again till it's positive.
Thus = -30° + 360 = 330°
How do you do this?
Answer:
78 degrees
Step-by-step explanation:
We know that these triangles are congruent
Angle N is the same as angle W since the triangles are congruent
Angle N = 78 degrees
Therefor angle W = 78 degrees
I have data that tells me how the value of my car has changed from 2012 until now (2021). What type of data display can I use to show that?
Оа
Oь
Line Graph
Pictograph
Box-and-Whisker Plot
Stem-and-Leaf Plot
od
Answer:
6. Line graph
Step-by-step explanation:
It shows how information changes over time
3. Robin drove 80 miles in 1.6 hours.
At what rate was Robin driving?
A 80 miles per hour
B 70 miles per hour
C 65 miles per hour
D 50 miles per hour
Answer quick plzzz no website
Answer:
The answer is 50 miles per hours.
Which of the following is a true statement based on the graph shown ?
Answer: I feel like it's the last one
Step-by-step explanation: ahhh I could be wrong I've had this problem before and I'm certain I chose the last one but I could be wrong if I'm wrong then I'm very sorry
I NEED HELP ASAP
solve for v
v/10.24=8
Answer:
v/10.24=8 V=4 <-- I am not sure if it's right but, I hope this helps u, Srry if it's the wrong answer
Step-by-step explanation:
Pls help me!!! And thank youuuuu
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
21
Step-by-step explanation:
What is the volume of the sphere below?
O A. 12pi units3
O B. 27pi units
O C. 36pi units3
D. 81pi units
Answer:
Option C
Step-by-step explanation:
sorry if I'm wrong..
can someone help me i need to find the value of x that will make a||b
X= 54
hope it helps
the model represents the equation - 3 =10. Which is the value of x in the equation x - 3 = 10?
Answer: C
Step-by-step explanation:
13-3=10
Mrs.Ramirez worked with her personal trainer to help develop a nutrition plan. The circle graph shows the recommended percentages for her daily intake. If she will start week 1 eating 1,800 calories, then how many should be from proteins?
Daily food intake:
Fruit: %15
Grains: %15
Protein: %35
Dairy: %10
Vegetables: %25
Answer choices:
A.450
B.350
C.630
D.270
(Please help!)
Answer:
C
Step-by-step explanation:
[tex]\frac{35}{100}*1800\\35*18\\[/tex]
630
The portion of protein will be 630.
What is pie chart?The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems.
Given that a pie chart showing the distribution of the calories of 1800 in different nutrients, we need to find the portion of protein,
Here the portion of protein = 35%
So,
35 / 100 × 1800 = 630
Hence the portion of protein will be 630.
Learn more about pie chart click;
https://brainly.com/question/1109099
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PLS HELP I WILL GIVE BRAINLY THINGY
Answer: The y is going to be 7
Explanation: Because 5y/35 divide 5 both sides cancel the both 5's and y stays by itself and 35/5 equals 7. 7*5= 35
Como hago para calcular el porcentaje de unos datos agrupados , porfa ayuda no entiendo. osea tipo : tengo que calcular cual es el porcentaje de personas que trabajan que tienen esta edad 31-46 y pues nose si colocar 3%-4% ay no se estoy perdida porfa si entienden lo q trato de decir me ayudaria resto
Answer:
Falta información para darte una respuesta exacta, así que voy a dar una explicación general de este tipo de problemas.
Querés saber cuál es el porcentaje de personas que trabajan y están en el rango de edades entre 31 y 46.
Entonces lo primero que tenemos que hacer es encontrar el número total de personas que trabajan, digamos que es T (esto es el 100%)
Luego hay que encontrar el número total de personas que trabajan y tienen entre 31 y 46, digamos que es N.
Podemos relacionar estas cantidades con porcentajes de la siguiente manera:
N = P
T = 100%
Donde P es el porcentaje que queremos calcular.
Si tomamos el cociente de esas dos ecuaciones, obtenemos:
N/T = P/100%
Resolviendo para P obtenemos:
(N/T)*100% = P
El porcentaje de personas que trabajan y tienen entre 31 y 46 va a ser entonces:
P = (N/T)*100%
Así sabiendo el número total de personas que trabajan y el número de personas que trabajan y además tienen edades entre 31 y 46, podemos calcular el porcentaje que queremos.
Particularmente decis que no sabes si colocar 3% o 4%.
Lo que podria implicar que tambien quizas tengas un problema de redondeo.
Si tenes un numero como:
3.a%
donde a es un digito entre 0 y 9
si a es menor que 5, entonces redondeamos para abajo, y asi obtenemos:
3.a% = 3%
si a es igual a 5 o mayor, redondeamos para arriba, asi obteniendo:
3.a% = 4%.
ack can someone help?
Answer:
2.8
Step-by-step explanation:
hypotonus is the longest edge of any triangle;
here the tallest edge equals the root of 8
the root of 8 = 2.83
solve the proportion 11/5 = 2/-6
Answer:
They are not equal
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: There is no solution, due to the left and right sides not being equal.
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Please help!! : ))))
Answer:
D. The mean will increase and the median will remain the same
Step-by-step explanation:
First I’d order them from smallest to largest in the data set:
3, 5, 6, 6, 7, 11
The median here is 6.
Then the mean would be 6.33
Then it says if 3 is removed:
5, 6, 6, 7, 11
So we would know the median is 6
The mean here would be 7
So we can see the mean increases but the median stays the same, therefore the answer is D
Solve super fast please
Answer:
x = 8
Steps:
(4x-2) + (17x+14) = 180
4x + 17x -2 + 14) = 180
21x + 12 = 180
21x = 180-12
21x = 168
x = 168/21
x = 8
Please help me I need to know the surface area of these 6 shapes
6.
Answer:
You are correct that the cross section is a rectangle, because a rectangular pyramid has 4 sides connected to the top of the rectangle.
Step-by-step explanation:
HEEELP Chose the correct answer:
Yan is 4 years younger than 3 times the age Lana, and the father of Yan is double the age sum of Yan and Lana. what is the age of the father?
x= Lana
a) 4x-5
b) 8x-5
c) 4x-10
d) 8x-10
Answer:
8x-8
Step-by-step explanation:
if Lana is X year
then that makes Yan 3X-4
the father is twice the sum of their ages
3X-4+X=4X-4
the father being twice
his age should be
8X-8
Find each product of the equation. I need help please
Answer:
1. 15x-10
2. x²-x-12
3. x²-8x+12
4. 2x³+4x²-30x
5. 6x³- 12x²+6x
6. 4x³+12x²-20x
Step-by-step explanation:
4.2x(x+5)(x-3)
= 2x(x²-3x+5x-15)
= 2x(x²+2x-15)
= 2x³+4x²-30x
Help me please. I’ll mark you as brainlist :)
Answer:
The answer is B, P = 12(1.004)^t
A growth rate of 0.4% means you have to multiply by 1.004
B is the only answer with this number, so B is the correct choice.
Padma makes two investments of $700 each for a term of 1 year, where investment A is linear and will increase at a constant rate of change, while investment B is exponential will increase by a common ratio.
Answer:
See the explanation below
Step-by-step explanation:
Given data
Amount invested= $700
Time = 1 year
Say the percent increase for both investments is
The representation of the linear investment A is given by the linear function
y=mx+c
here m= the percent increase
x= the time taken and
c= the invested amount
By linear increase, any increment in x that is the time will lead to a corresponding increase in the y value which is the final amount
The representation of the exponential investment A is given by the linear function
y=ab^x
here a= the invested amount
b= the rate
x= the time
By exponential increase, any increment in x that is the time will lead to a "non-compliant"/ non-corresponding increase in the y value which is the final amount
help me!! pls math question
Answer:
a) 33
Step-by-step explanation:
triangle inequality theorem
- the sum of any two sides of a triangle must be greater than the third