[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6700\\ P=\textit{original amount deposited}\dotfill & \$3600\\ r=rate\to 4.42\%\to \frac{4.42}{100}\dotfill &0.0442\\ t=years \end{cases} \\\\\\ 6700=3600[1+(0.0442)(t)]\implies \cfrac{6700}{3600}=1+0.0442t\implies \cfrac{67}{36}=1+0.0442t \\\\\\ \cfrac{67}{36}-1=0.0442t\implies \cfrac{31}{36}=0.0442t\implies \cfrac{\frac{31}{36}}{0.0442}=t\implies 19.5\approx t[/tex]
Which of the following sets of numbers could represent the three sides of a triangle? \{6,14,17\}{6,14,17} \{10,23,34\}{10,23,34} \{10,14,26\}{10,14,26} \{7,20,28\}{7,20,28}
The sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.
What is triangle inequality theorem?Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus, according to this theorem,
[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]
The sides of first option are, 6,14,and 17.
[tex]6+14 > 17\\20 > 17[/tex]
This set satisfy the triangle inequality theorem. All the other options do not follow, to satisfy this theorem.
Thus, the sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.
Learn more about the triangle inequality theorem here;
https://brainly.com/question/309896
#SPJ1
If a teacher gives a quiz that is normally distributed and has a mean score 50 and a standard deviation of 5:
a) what z score is associated with a 60th percentile
b) what score is associated with the 60th percentile
Using the normal distribution, it is found that:
a) The z-score associated with a 60th percentile score is of Z = 0.253.
b) The score associated with the 60th percentile is of 51.265.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 50, \sigma = 5[/tex]
The 60th percentile is X when Z has a p-value of 0.6, so X when Z = 0.253, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.253 = \frac{X - 50}{5}[/tex]
X - 50 = 5(0.253)
X = 51.265.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
if A - 13= (-8), then what does A equal?
(will mark brainliest)
Answer:
A = 5
Step-by-step explanation:
Add 13 to each side of the expression :
A - 13 + 13 = -8 + 13A = 13 - 8A = 5Step-by-step explanation:
A 13+13 equal to -8+13
A 13-8
A 5
Math question explain throughly
The value of the discriminant is 24. Then the factor of the polynomial is not a whole number.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
x² + 8x + 10
If the value of the discriminant is a perfect square then the factor of the polynomial will be in whole number.
D = b² - 4ac
D = 8² - 4 x 1 x 10
D = 64 - 40
D = 24
The value of the discriminant is not a perfect square.
The solution of the polynomial can be determined by the formula method.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ1
What are the x-coordinates for the maximum points in the function f(x) = 4 cos(2x − π) from x = 0 to x = 2π? (1 point) a x = 3 pi over 2 , x = π b x =
x-coordinates for the maximum points in any function f(x) by f'(x) =0 would be x = π/2 and x= 3π/2.
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
we want to find x-coordinates for the maximum points in any function f(x) by f'(x) =0
Given f(x)= 4cos(2x -π)
[tex]f'(x) = 0\\- 4sin(2x -\pi ) =0\\\\sin (2x -\pi ) =0 \\2x -\pi = k\pi ... k in Z[/tex]
In general [tex]x=(k+1)\pi /2[/tex]
from x = 0 to x = 2π :
when k =0 then x = π/2
when k =1 then x= π
when k =2 then x= 3π/2
when k =3 then x=2π
Thus, X-coordinates of maximum points are x = π/2 and x= 3π/2
Learn more about maximum of a function here:
https://brainly.com/question/13333267
#SPJ4
Estimate the sum
1.37 + 0.9
[tex]1.37 + 0.9\\\\\\=\dfrac{137}{100} + \dfrac{9}{10}\\\\\\=\dfrac{137}{100}+\dfrac{90}{100}\\\\\\=\dfrac{137+90}{100}\\\\\\=\dfrac{227}{100}\\\\\\=2.27[/tex]
Enter the volume of the right rectangular prism in cubic centimeters.
Answer:
37.95
Step-by-step explanation:
3.3x2.5x4.6=37.95
Here is a set of data
Answer:
a) 1.8
b) 11.8
c) 23.6
a)(2.4 + 1.6 + 3.2 + 0.3 + 1.5) / 5 = 1.8
b)(12.4 + 11.6 + 13.2 + 10.3 + 11.5) = 11.8
c)(24.8 + 23.2 + 26.4 + 20.6 + 23) / 5 = 23.6
or,
11.8 × 2 = 23.6
Answer+Step-by-step explanation:
a)
original mean = (2.4+1.6+3.2+0.3+1.5)÷5
= 9÷5
= 1.8
b)
New mean = ((2.4+10)+(1.6+10)+(3.2+10)+(0.3+10)+(1.5+10))÷5
= (12.4) + (11.6) + (13.2) + (10.3) + (11.5)) ÷ 5
= 59÷5
= 11.8
Note:
11.8-10 = 1.8
then
New mean = original mean + 10
c)
Newest mean = ((2×12.4)+(2×11.6)+(2×13.2)+(2×10.3)+(2×11.5))÷5
= ((24.8)+(23.2)+(26.4)+(20.6)+(23))÷5
= 118÷5
=23.6
Note :
Newest mean = 2×(New mean)
= 2×(original mean + 10)
A basketball is shot into the air. Its height is represented by the polynomial equation
h(t) = -162 + 35t + 5, where h is the height of the basketball at t seconds. What is
the height of the basketball at 1 second?
A) 56 feet
B) 24 feet
C) 14 feet
D) 8 feet
Answer:
B) 24 feet
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle h(t) = -16t^2 + 35t + 5[/tex]
Step 2: Find Height
Since we are trying to find the height of the basketball at 1 second, it implies that t = 1. Therefore, we can simply substitute t = 1 into our function:
[tex]\displaystyle\begin{aligned}h(1) & = -16(1)^2 + 35(1) + 5 \\& = -16(1) + 35(1) + 5 \\& = -16 + 35 + 5 \\& = \boxed{24} \\\end{aligned}[/tex]
∴ the height of the basketball at 1 second is equal to 24 feet.
---
Learn more about functions: https://brainly.com/question/27698547
Learn more about Algebra I: https://brainly.com/question/27710380
---
Topic: Algebra I
PLEASE HELP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
Find the difference between your wet bulb and dry bulb temperatures. Round the value to the nearest whole number. Use this value and your average dry bulb temperature in Celsius (round up or down to the nearest temperature) to determine the relative humidity using the chart below.
Relative Humidity (%)
Dry Bulb Temperature(°C)
Difference of Wet Bulb and Dry Bulb Temperatures(°C)
Answer:
20 degrees
Step-by-step explanation:
Answer:
20 degrees
Step-by-step explanation:
I got help from my teacher.
How many kilometers is equal to 800 meters?
- - - - - - - - - - - - -- - - - - - - - - -- -- - - - - - - - -- - - - - - - -- - - - - - -- - - - - - -
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
How many kilometers is equal to 800 meters?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
Divide the number of meters by 1000 to convert meters (m) into kilometers (km):
[tex]\texttt{800:1,000=0.8 km}[/tex]
So 800 m is equal to 0.8 km.Good luck.- - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - -- - - - - - - - -
help pleasee <3 >:((
[tex]v = \frac{lwh}{3} [/tex]
[tex]v = \frac{10 \times 6 \times 6}{3} [/tex]
[tex]v = 120 \: {ft}^{3} [/tex]
Volume of rectangular prism:[tex]v = lwh[/tex]
[tex]v = 10 \times 6 \times 4[/tex]
[tex]v = 240 \: {ft}^{3} [/tex]
Total volume:[tex]v = 120 + 240[/tex]
[tex]v = 360 \: {ft}^{3} [/tex]
volume of rectangular pyramid is 120 ft^3.
volume of rectangular prism is 240 ft^3.
total volume is 360 ft^3.
hope this helps.
12.3 - 2.2 x 8.4 ÷ 2 =
Please help quick!!
Answer answer please please
Answer:
B. <
Step-by-step explanation:
2.7 * 10^3 is < 27 * 10^3
since
27 * 10^3 = 27000
2.7 * 10^3 = 2700
2700 < 27000
now since multiplying by 10 moves the decimal to the right, just looking and mentally comparing them. since they are both multiplied by 10^3 you're left with 2.7 and 27
27 is greater than 2.7
so
your answer is B or <
hope this helps :)
Answer: the answer is choice b
Step-by-step explanation:
please tell me how u got the answer no bots pleaseeeee
Answer:
x = - 21
Step-by-step explanation:
[tex]\frac{-12+x}{11}[/tex] = - 3 ( multiply both sides by 11 to clear the fraction )
- 12 + x = 11 × - 3 = - 33 ( add 12 to both sides )
x = - 21
PLease help its a math question see image attached please
Answer:
Quadratic
Step-by-step explanation:
The function shown here is :
y = 2x²As the degree of the polynomial is 2, this function is considered to be quadratic.
A rectangular hotel room is 11 feet wide and 25 feet long. What is its perimeter?
Answer:
The answer is 72
Step-by-step explanation:
The formula for perimeter is (L+W)x2
So in your case (11+25)x2
Or add all 4 sides of the rectangle up and you have your answer <3
Points A and B have the same x-coordinates but opposite y-coordinates.
5
A
4
3
2
NS
5 4 3 2 1
1 2 3 4 5 X
-2
-3
B
-4
-5
The awnser is 3 units
Start from the y-axis and count to your point.
When I was in tge 5th grade frog leaps/ bunny hops helped me.
What is the vertex of the graph shown below? Write your answer in the form
(x,y).
Answer:(-3,-1.5)
Step-by-step explanation: the vertex is the point then the line starts to bend. that would be (-3,-1.5).
PLS HELP NEED ANSWER ASAP
Answer:
a. 38
b. 12
Step-by-step explanation:
i used calculator. net
The height of the kite is 38.042(approx.) and the shadow of kite from Dmitri is 12.36 m (approx.)
What is angle of elevation?The term angle of elevation denotes the angle from the horizontal upward to an object. An observer’s line of sight would be above the horizontal.
According to the question
Kite string = hypotenuse = 40m
angle of elevation = 72 °
a) Height of kite = perpendicular
sin( 72 °) = [tex]\frac{Perpendicular}{hypotenuse}[/tex]
0.951 = [tex]\frac{Perpendicular}{40}[/tex]
38.042 ≈ Perpendicular or Height of kite ≈ 38.042
b) Sun is directly above the kite , kite's shadow from Dmitri is = base
Tan (72°) = [tex]\frac{perpendicular }{base}[/tex]
3.077 = [tex]\frac{38.042 }{base}[/tex]
Base ≈ 12.36 m
Hence, height of the kite is 38.042(approx.) and the shadow of kite from Dmitri is 12.36 m
To know more about angle of elevation here :
https://brainly.com/question/21137209
# SPJ2
Which picture shows 5/6?
Answer:
Bottom right option
Step-by-step explanation:
5 boxes out of 6 are shaded.
Answer:
d) Bottom right picture
Step-by-step explanation:
There are 6 boxes in that rectangle and 5 boxes are shaded. Hence, this diagram shows the required fraction of 5/6.
Robert wants to have 3 cherry trees planted on his property. He asked a landscaping company to give him a bid. The contractor wanted $750 to buy and plant the trees. Robert’s friend Tom said he would help him plant the trees on the weekend. The trees cost $115 each. How much will Robert save by having his friend help him?
Answer:
If I am correct he will save $405 by having his friend helping him.
Step-by-step explanation:
3x115=345
750-345=$405
totaled saved: 405
what is the value of the expression 4(80+b) - 12, where b = 20?
Answer:
388
Step-by-step explanation:
Substituting b = 20 in the expression :
4(80 + 20) - 124(100) - 12400 - 12388can someone figure this out for me?
Answer:
it spells ucla, or U C LA
get it you see Los Angeles
or the school name in Los Angeles
Step-by-step explanation:
you shade in 12.5in^2
77cm
1.35m^2
48m
17cm^2
11400 in ^2
20.8cm
25m
20in
275 cm ^2
120 ft
43.4 cm^2
6.6m
105m^2
544 in
30m^2
28.8cm
600ft^2
A park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park? 2 answers
Answer:
6.25 km^2.
Step-by-step explanation:
Let the park be x km wide. Then it's length is 4x km.
Perimeter = 2(Length + width)
12.5 = 2(4x + x)
2*5x = 12.5
x = 12.5 /10 =1.25 km.
So the park is 1.25 km wide and 4*1.25 = 5 km long.
The area of the park = 1.25 * 5
= 6.25 km^2.
The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L×W square units
A recreation area is multiple times for however long it is wide. assuming the distance around the recreation area is 12.5 kilometers.
Then the equation is given as,
L = 4W
Then the perimeter of the garden is given as,
12.5 = 2(L + W)
12.5 = 2(4W + W)
6.25 = 5W
W = 1.25 km
Then the length is given as,
L = 4 x 1.25
L = 5 km
Then the area of the garden is given as,
A = 5 x 1.25
A = 6.25 square km
The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.
More about the area of the rectangle link is given below.
https://brainly.com/question/20693059
#SPJ5
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Sho
Answer:
Top Left (<A) = 86 degrees // Top Right (<B) = 112 degrees // Bottom Left (<C) = 68 degrees // Bottom Right (<D) = 94 degrees
Step-by-step explanation:
So with inscribed quadrilaterals opposing corners are supplementery. This means they will add to 180 degrees. So first what we can do is set (x + 2) and (x - 6) equal to 180 ----> 2x - 4 = 180 ----> 2x = 184 ----> x = 92
So if x = 92 then <A = 86 degrees //// <B = 112 degrees //// <C must equal 68 degrees because <B and <C are supplementery //// <D = 94 degrees
Darren’s teacher stated that 20% of his grade would come from his homework. What fractional part of his grade will NOT come from homework?
Answer:
80% = 80/100 = 8/10
I hope this helps! If it does, please mark me Brainliest! Thanks in advance!
HELP ME PLEASE!!!!!!
Answer:
x = 5
Step-by-step explanation:
216 ^x = 6^(x+10) notice that 216 = 6^3
(6^3 )^x = 6^(x+10)
6^3x = 6^(x+10) now just equate the exponents
3x = x + 10
2x = 10 x = 5
find the area of sector =?
Step-by-step explanation:
270°/360° ×π×13²cm
=398.20cm²
the area of the sector with a radius of 13 units and a central angle of 270 degrees is approximately 398.25 square units.
To find the area of a sector, we use the formula:
Area of sector = (θ/360) * π * r²
Where:
θ is the central angle of the sector in degrees,
r is the radius of the sector.
In this case, the radius (r) is 13 units, and the central angle (θ) is 270 degrees.
Area of sector = (270/360) * π * 13²
Area of sector = (3/4) * π * 169
Area of sector = (3/4) * 169π
Area of sector ≈ 398.25 square units
So, the area of the sector with a radius of 13 units and a central angle of 270 degrees is approximately 398.25 square units.
Learn more about area of the sector here
https://brainly.com/question/29055300
#SPJ2
The ratio of the circumference of two circles in 3:2. The radius of the smaller circle is 8 in. What is the radius of the larger circle?
