Answer:
Bank One is offering a simple interest rate of 6.25% per annum.
Step-by-step explanation:
Given that Bank One offers a certificate of deposit that pays $ 5,000 in four years for exchange for $ 4,000 today, to determine what interest rate is Bank One offering the following calculation must be performed:
(5000 - 4000) / 4 = X
1000/4 = X
250 = X
4000 = 100
250 = X
250 x 100/4000 = X
25000/4000 = X
6.25 = X
Therefore, Bank One is offering a simple interest rate of 6.25% per annum.
Find the missing side. Round to the nearest tenth
Answer:
x = 12.5
Step-by-step explanation:
From the diagram,
Applying
tanФ = Opposite/Adjacent...................... Equation 1
From the diagram,
Given: Opposite = 16, Adjacent = x, Ф = 52°
Substitute these values into equation 1
tan52° = 16/x
make x the subject of the equation
x = 16/tan52°
x = 16/1.27994
x = 12.5.
A room is 15 feet tall. An architect wants to include a window that is 6 feet tall. The distance between the floor and the bottom of the window is b feet. The distance between the ceiling and the top of the window is a feet.
This relationship can be described by the equation
a
=
15
−
(
b
+
6
)
a=15−(b+6).
The customer wants the window to have 5 feet of space above it. Is the customer describing a or b? What is the value of the other variable?
Answer:
2.5 feeeeeeeeeeeeeeeeeeeet i think
Heather had 20 stickers. She bought 27 stickers from a store in the mall and got 6 stickers for her birthday. Then Heather gave 4 of the stickers to her sister and used 11 to decorate a greeting card. How many stickers does Heather have left?
Answer:
38 stickers
Step-by-step explanation:
20+27=47
47+6=53
53-4=49
49-11=38
20+27+6-(4+11)=38 stickers
Factor this trinomial. Your answer should consist of two binomials.
n^2-11n +28
Answer:
(n-4)(n-7)
Step-by-step explanation:
hopefully that helps
50 POINTS!!!!
Analyze the graph of the cube root function shown
on the right to determine the transformations of the
parent function. Then, determine the values of a, h,
and k in the general equation.
y = a3x - h + k
h =
k=
Answer:
Let's solve for h.
y=a3x−h+k
Step 1: Flip the equation.
a3x−h+k=y
Step 2: Add -a^3x to both sides.
a3x−h+k+−a3x=y+−a3x
−h+k=−a3x+y
Step 3: Add -k to both sides.
−h+k+−k=−a3x+y+−k
−h=−a3x−k+y
Step 4: Divide both sides by -1.
−h
−1
=
−a3x−k+y
−1
h=a3x+k−y
Answer:
h=a3x+k−y
Let's solve for k.
y=a3x−h+k
Step 1: Flip the equation.
a3x−h+k=y
Step 2: Add -a^3x to both sides.
a3x−h+k+−a3x=y+−a3x
−h+k=−a3x+y
Step 3: Add h to both sides.
−h+k+h=−a3x+y+h
k=−a^3x+h+y
Answer:
k=−a^3x+h+y
Step-by-step explanation:
The required values are h = 1 and k = 4 the given cube root function.
What is the cube root function?The cube root function is a function that takes the cube root of its input. The formula for the cube root function is:
f(x) = ∛x
The graph is given in the question, as shown.
To find the symmetric center of the cube root function, we need to find the point on the function that is equidistant from the two opposite sides of the function graph.
Since the given cube root function is an odd function, it is symmetric about the point (1, 4).
So, the symmetric center of the cube root function is the point (1, 4).
Thus, h = 1 and k = 4
Therefore, the required values are h = 1 and k = 4 the given cube root function.
Learn more about the cube root function here:
https://brainly.com/question/29082141
#SPJ2
The complete question would be as:
The results of a survey of 38 students and the foreign language they are studying are shown in the two-way frequency table. Language Gender Chinese French Spanish Total Girl 4 7 10 21 Boy 1 1 15 17 Total 5 8 25 38 What fraction of the surveyed students are taking Chinese? of the surveyed students are taking Chinese.
Answer:
5/38
Step-by-step explanation:
A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.
The numerator is the number above. While the denominator is the number below
an example of a fraction = [tex]\frac{4}{5}[/tex]
4 is the numerator while 5 is the denominator
fraction of the surveyed students are taking Chinese = total number of students surveyed / total number of students surveyed
5/38
At 7 p.m the temperature was 15 F in the next 2 hours, the temperature fell 15F
Select all true statement based on the the above information.
A. The temperature was 30 F at 9 pm
B.The temperature was 0 F at 9 pm
C. The change in temperature from 7 PM to 9 PM is represented by -15
D. The change in temperature from 7 PM to 9 PM is represented by 15.
E. The expression 15+( -15) represents the temperature change
F. The expression 15+15 represents the temperature change
Answer:
The answer is 0
Step-by-step explanation:
Because if the tempurature was 15 and it dropped 15 = 0°
PLEASE HELP!Write the standard form of equation with p=sqrt3, 0=150°
Answer:
I heard it's not b
Step-by-step explanation:
was A the correct answer?
Are the two triangles similar? Explain your answer.
Answer:
Yeah they similar
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
These triangles are both obtuse with a 102 degree angle, 30 degree angle, and a 48 degree angle. (180 - 48 = 30.)
Find the length of the missing side.
14.5 m
7.3 m
X
Answer:
x= 12.528
*rounded is 12.53 or 12.5
Step-by-step explanation:
7.3 ^2 + x^2 = 14.5^2
53.29 + x^2 = 210.25
-53.29 -53.29
x^2= 156.96
x= 12.528
write an integer addition expression that equals -4
Answer:
-6 + 2 = -4
Step-by-step explanation:
-6 + 2 = -4
Based on the figure below, find the value of x.
Answer:
The value of x = 9.Step-by-step explanation:
The figure shown is represented as a right triangle, which means that the sum of the angles within should add up to 90°. So if we take 32° (one of the angles given) and subtract it from 90°, we should be left with 58°.
This means that the value of the equation that contains "x" must equal 58°. Therefore, (6 x 9 + 4)° must equal 58.° Which means that the value of x = 9.
Give an example of tangents in the real world that have not been presented in this lesson.
Explain how you know the tangent and the radius in your example are perpendicular.
This is in relation to tangent lines and not cosine, sine, etc!
My example is attached via photo!
Answer:
Hey! Sorry im too late lol but here-
Step-by-step explanation:
Example of tangent in the real world-
When a stone gets tied at one end of a string & the other end is rotated, then the stone will form a circle.
How you know the tangent and radius are perpendicular:
The radius is formed vertically and is completely straight, while the tangent is completely straight but horizontal. You can draw a right triangle angle between the radius and tangent line by adding a third line, and a right angle is 90 degrees. So, this forms a perpendicular line.
Hope this helped :))
Part A: The path of the ball in relation to the curved path of the thrower
Part A: The path the ball takes is perpendicular to the hand, bat or feet at the point of last contact
Reason for the selection:
Part A
A real world example of tangents is the direction of a ball immediately it is released and the circular path of the motion, that provides the force input that is given to the ball to cause it to move in the required direction
The tangent is the path the ball takes immediately it is moving without contact to the bat, hand or feet that causes it to move
The circular path is the motion of the hand, leg, bat or feet that makes before the ball is released
The radius is the hand, leg, or bat that rotates in a circular path, so as to move the ball
Part B
How the radius is perpendicular to the tangent
The radius, such as the leg kicking a ball is perpendicular to the tangent of the which is the path of the ball because a kick to send the ball into air, the orientation of leg at the point the ball leaves is perpendicular to the angle of elevation with which the ball is launched
Learn more about tangents here:
https://brainly.com/question/16300584
Find the circumference of a circle that has a diameter of 26 ft. (Round to the nearest hundredth)
Your answer
Answer:
C = 81.69 ft
Step-by-step explanation:
Given the following data;
Diameter = 26 ft
To find the circumference of a circle;
Mathematically, the circumference of a circle is given by the formula;
Circumference of circle, C = πd
Where;
d represents the diameter of the circle.
Substituting into the formula, we have;
C = 3.142 * 26
C = 81.69 ft
Help with this problem pls
What function is represented ?
A quartic function
An exponential function
A cubic function
A quadratic function
A linear function
Answer:
A cubic function
Step-by-step explanation:
I graphed it and connected the lines on desmos then compared to the types of calculus graphs on the search engine.
Directions: Use the information given to write the equation of the circle in standard form.
16. center:(-10,-4), point on circle: (4, -2) 17. center: (-9, -3), point on circle: (-11, 2) 18. center: (5.-7), point on circle: (-3,-1)
19. center: (8,2), point on circle: (14,-1) WO
Answer:
subject?
Step-by-step explanation:
An employer wants to determine the amount of job satisfaction experienced by his employees. Which sampling
method is most likely to result in undercoverage?
Answer:
C: Employees are assigned to one of four pay scales. Randomly select a pay scale and survey every employee in that pay scale
Step-by-step explanation:
Looking at the given options, the one that will likely result in undercoverage will be option C. This is because even after assigning employees to any of the 4 payscales, when randomly selecting for survey, he picked only one pay scale and surveyed every on there. Since he didn't include at least one person in the other pay scales, he will not have covered every pay scale which he will need to make a conclusion on job satisfaction experienced by his employees.
How many sixths are equal to 4/12? Write an equation to show.
Answer:
2/6
Step-by-step explanation:
divide 4/12 by two(top and bottom) to get 2/6. or multiple 2/6 by two (top and bottom) to get 4/12.
15-2X = -45 how do I show My work for this?
Answer:15-2x=-45
15-2=13
13=-45
Step-by-step explanation:
I hope that helps you!
Answer:
x = 30
Step-by-step explanation:
15 - 2x = -45
+ 2x to both sides
15 = 2x - 45
+ 45 to both sides
60 = 2x
divide both sides by two
x = 30
Given
A ∆GHJ with k
GH
L on GI
are K and L the midpoints of GH and GJ respectively?
is KL || HJ?
is HJ = 2KL?
Answer:
Is there diagram for this?
The difference between an observational study and an experiment is that
Answer:
An observational study is a study based on data while as an experiment, your actually using that data and carrying out different procedures with it.
Answer:
in an observational study, the researchers do not control treatment, and in an experiment, they do (B)
Step-by-step explanation:
A skateboard ramp has a 158° entry angle. Find the measure of 1
Answer:
B. 68°
Step-by-step explanation:
The interior angles of the right triangle from the figure given are:
<1, right angle (90°), and (180° - 158°)
m<1 + 90° + (180° - 158°) = 180° (sum of triangle)
m<1 + 90° + 22° = 180°
m<1 + 112° = 180°
m<1 + 112° - 112° = 180° - 112°
m<1 = 68°
Answer: 68
Step-by-step explanation:
multiple choice test no explanation needed good luck
Vector V has components of (6,9) determine the angle in degrees that vector vee makes with the X axis
Given :
Vector V has components of (6,9).
To Find :
The angle in degrees that vector V makes with the x-axis.
Solution :
The x-component of vector is, x = 6 units.
The y-component of vector is, y = 9 units.
So, the angle the vector makes from the horizon is :
[tex]\theta = tan^{-1}{\dfrac{y}{x}}\\\\\theta = tan^{-1}{\dfrac{9}{6}}\\\\\theta = 56.31^o[/tex]
Hence, this is the required solution.
From a bag containing 6 white balls, 3 black balls and 13 red balls, two balls are drawn at random. What is the probability that they are both red without replacement?
a) 26/77
b) 9/10
c) 1/2
d)5/77
Answer:
Probability [Both ball red without replacement] = 26 / 77
Step-by-step explanation:
Given:
Number of white ball in beg = 6 balls
Number of black ball in beg = 3 balls
Number of red ball in beg = 13 balls
Find:
Probability [Both ball red without replacement]
Computation:
Probability of first red ball = Number of red ball in beg / [Total balls in beg]
Probability of first red ball = 13 / [6 + 3 + 13]
Probability of first red ball = 13 / 22
Probability of Second red ball = Number of remaining red ball in beg / [Total balls in beg without replacement]
Probability of Second red ball = [13 - 1] / [6 + 3 + 12]
Probability of Second red ball = 12 / 21
Probability [Both ball red without replacement] = [Probability of first red ball][Probability of Second red ball]
Probability [Both ball red without replacement] = [13/22][12/21]
Probability [Both ball red without replacement] = 26 / 77
A graph of a linear equation passes through (-2,0) and (0,-6).
Is 3x - y = -6 an equation for this graph?
Select one:
Yes
No
if the digit in one’s place of a number is 2 then the last digit of its cube will be?
Answer:
Thus , if the digit in one's place of a number is 2, then the last digit of its cube will be unit digit of . Since the last digit of cube of 2 is 8. Hence, if the digit in one's place of a number is 2, then the last digit of its cube will be 8
Step-by-step explanation:
A pound of chocolate costs 8 dollars. Kala buys p pounds. Write an equation to represent the total cost c that Kala pays.
Answer:
8p=c
Step-by-step explanation:
For questions like this, it isn't asking for a numerical answer or anything complicated. It's mainly just using common sense and figuring out what you would do if you had actual numbers instead of variables. You would multiply the amount of pounds (p) by the cost per pound of $8, and that would be your answer (c). I hope I could help.
Find the length of Arc YWV, if line XZ=12 meters. (Round to the nearest hundredth)
Answer:
53.62 m
Step-by-step explanation:
Length of arc = θ/360 × 2πr
r = XZ = 12 m
m<XYZ = 180 - 108 = 72° (angles on a straight line)
θ = 85° + 72° + 108° = 265°
Length of arc YWV = 256/360 × 2 × π × 12
= 53.6165146 ≈ 53.62 m (nearest hundredth)
The whole number between -1 and 1, with the symbol 0. Show’s that there is no amount:
Answer:
The number between -1 and 1 is 0 ( zero)