Answer:
The total amount in your bank account per year is not a linear relationship, it's compound interest.
Step-by-step explanation:
The total amount in your bank account per year is not a linear relationship because it is not a straight line. Linear relationships are defined by an equation in the form of y = mx + b, where m is the slope of the line, x is the independent variable and y is the dependent variable, and b is the y-intercept.
In this case, the total amount in your bank account per year is not a straight line, it is a curve. The total amount in your bank account will increase as a function of time, but the rate of increase is not constant as it is with linear relationships.
The amount of money in your account will increase over time as the interest is compounded. The interest is calculated on the principal + accumulated interest, so the growth rate of the account is not constant, it increases as the balance grows.
For example, the first year you will earn $5000.03 = $15 in interest, and the second year you will earn $5150.03 = $15.45 in interest, the next year the interest will be $530.45*0.03 = $15.91 and so on.
24 can be written as 24=2a
×3. What is the value of a
I hope this helped you
Answer:
a = 3
Step-by-step explanation:
24 x 2ªx 3
8= 2ª
a= 3
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{24 = 2a \times 3}\\\mathsf{\rightarrow 2a \times 3 = 24}\\\mathsf{\rightarrow 2(3)(a) = 24}\\\mathsf{\rightarrow 6(a) = 24}\\\mathsf{\rightarrow 6a = 24}\\\\\text{DIVIDE 6 to BOTH SIDES}\\\\\mathsf{\rightarrow\dfrac{6a}{6} = \dfrac{24}{6}}\\\\\text{SIMPLIFY it}\\\\\mathsf{\rightarrow a = \dfrac{24}{6}}\\\\\mathsf{\rightarrow a = 4}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{a = 4}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
In 10 tosses of seven coins, the numbers of heads were 2, 6, 2, 2, 5, 3, 5, 3, 3, 4. If the observations are denoted by Y1, Y2, Yn:
a. What is the value of n?
b. What is the value of Y2?
c. What is the value of Y7?
d. For what values of i does Y = 2? 3? 4?
e. Distinguish between Yi-1 and Yi – 1.
f. What do Yi-1 and Yi – 1 equal for i = 2?
g. Write the observations as a vector.
Answer: a. The value of n is 10, as there are 10 tosses of seven coins.
b. The value of Y2 is 6, as the number of heads in the second toss is 6.
c. The value of Y7 is 3, as the number of heads in the seventh toss is 3.
d. For i = 1, 2, 3, 4, the value of Y is 2. For i = 5, 8, the value of Y is 3. For i = 6, 9, 10, the value of Y is 4.
e. Yi-1 refers to the observation made in the previous toss (i-1), whereas Yi – 1 refers to the observation made in the current toss (i) minus 1.
f. Yi-1 = Y1 = 2 and Yi – 1 = Y2 – 1 = 6 – 1 = 5 for i = 2
g. The observations can be written as a vector Y = (2, 6, 2, 2, 5, 3, 5, 3, 3, 4)
Step-by-step explanation:
Question Let f(x)=4x. Let g(x)=4x+2. Which statement describes the graph of g(x) with respect to the graph of f(x)? Responses g(x) is translated 2 units down from f(x). g open argument x close argument, is translated 2 units down from , f open argument x close argument, . g(x) is translated 2 units left from f(x). g open argument x close argument, is translated 2 units left from , f open argument x close argument, . g(x) is translated 2 units right from f(x). g open argument x close argument, is translated 2 units right from , f open argument x close argument, . g(x) is translated 2 units up from f(x).
Answer:
g(x) is translated 2 units up from f(x).
Step-by-step explanation:
f(x) = 4x
g(x) = 4x+2
g(x) = f(x) + d where d is an upwards translation from f(x)
Adding 2 is a vertical translation up 2 units
Evaluate the expression when b=4 and x-4. -7b+x
Answer: -32
Step-by-step explanation:
Find the length of the midsegment of each trapezoid.
W
P
17.5
A) 12.7
C) 13.1
?
V 6.1
U
Q
T
B) 8.2
D) 11.8
Solve the system by substitution.
y= −6x −2x−y= 16
Using substitution method to solve the system of linear equations, the value of x and y are 4 and -24 respectively.
What is system of linear equationA system of linear equations is a set of two or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system simultaneously. Linear equations are equations that can be written in the form of ax + by = c, where a, b, c, x and y are constants.
In this problem, the equations are
y = -6x ...eq(i)-2x - y = 16 ...eq(ii)Using substitution method;
Put the value y in eq(i) into eq(ii)
-2x - (-6x) = 16
-2x + 6x = 16
4x = 16
x = 4
Put x = 4 into equ(i)
y = -6(4)
y = -24
The value of x and y are 4 and -24
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Which is equal to sin31°?
Answer: 0.515
Step-by-step explanation:
Since our angle is between 0 and 90 degrees, it is located in Quadrant I
In the first quadrant, the values for sin, cos and tan are positive.
Since 31° is less than 90, we can express this in terms of a cofunction
sin(θ) = cos(90 - θ)
sin(31) = cos(90 - 31)
sin(31) = cos(59)
hope this helps!
The value of sin 31° is 0.51504.
Sin 31 degrees is the value of the sine trigonometric function for an angle equal to 31 degrees.
The sin of 31 degrees is 0.51504, but the sin of 31 degrees can also be expressed in radians. To obtain 31 degrees in radian multiply 31° by π/ 180° = 31/180π. Sin 31degrees = sin (31/180 ×π)
The results of sin31° are rounded to five decimal places.
The following are identities of sine 31° :
sin31°
= cos (90°-31°) = cos 59°
= sin (180°-31°) = sin 149°
-sin31°
= cos (90°+31°) = cos 121°
= sin (180°+31°) = sin 211°
Therefore, The value of sin 31° is 0.51504.
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Mr. Haque is 21 years old. He is 3 times as old as Ms. Nahar. Write and solve an equation to determine Ms. Nahar's age,a.
Answer:
Ms. Nahar is 7 years old.
Step-by-step explanation:
21/7 =3
Answer:
She is 7 years old if he is 21
Step-by-step explanation:
21/3
3. What is the value of y when line m is parallel to line n? (1 point)
C D
070
0110
O 140
0150
A
E
30°
110
F
B
m
✦n
4
150°
The correct answer is 150°
For what length of time did Kathy and Brian drive?
A) Kathy drove 3 hours and Brian drove 9 hours
B) Kathy drove 4 hours and Brian drove 8 hours
C) Kathy drove 6 hours and Brian drove 6 hours
D) Kathy drove 8 hours and Brian drove 4 hours
3) None of the above
Answer:
None of the above
Step-by-step explanation:
Beacuse,
3*65 +9*55 = 690miles
4*65 + 8*55 = 700 miles
6*65 + 6*55 = 720 miles
8*65 + 4*55 = 740 miles
The total length is 750miles which is not suitable in this above four answers
Solve 3^x − 2 = 3^7. Group of answer choices 2 5 7 9
Answer: [tex]x=9[/tex]
Step-by-step explanation:
[tex]3^{x-2}=3^7\\\\x-2=7\\\\x=9[/tex]
can anyone explain how to solve this?
Answer:
E
Step-by-step explanation:
Let x be the initial value
after 1 year value = 1.1 x
after 2 yrs v = 1.1 * 1.1 x
after 3 yrs v = 1.1 * 1.1 * 1.1 x
after 4 yrs v = 1.1 * 1.1 * 1.1 * 1.1 x
or simply : value = ( 1.1)^n x where n = number of years
for n= 4 years value = (1.1)^4 x = 1.4641 x
this represents a .4641 increase or 46.41 % increase Answer E
Meryl pays £400 into her sister's South African bank account. How much ister receive if the current exchange
Answer:
8232 South African Rand
Step-by-step explanation:
The question cuts off at "if the current exchange" so the exchange rate is not specified. At the time of writing this answer, the echnage rate from one sterling pound to South African Rand is 1=20.58. So, we just need to multiply 20.58*400 to get 8232.
How many festivals were there?
Answer:
15
Step-by-step explanation:
1+3+5+4+2
A study shows that 80% of the population of a city have brown eyes and 20% do not. The study also shows that 30% of the people who do not have brown eyes do not have brown hair, while 90% of the people who have brown eyes have brown hair. A relative frequency table was constructed for this data. What is the largest marginal relative frequency and its interpretation?
0.72; Individuals with brown eyes
0.80; Individuals with brown eyes
0.86; Individuals with brown hair
0.90; Individuals with brown hair
Answer: I believe the answer is A; 0.72
Answer: The largest marginal relative frequency is 0.90 and it represents the probability of an individual having brown hair given that they have brown eyes.
Step-by-step explanation:
The reason why 0.90 represents the probability of an individual having brown hair given that they have brown eyes is because the study shows that 90% of the people who have brown eyes also have brown hair. This is a conditional probability, which means that it is the probability of one event happening given that another event has already happened. In this case, the event of having brown hair is conditional on the event of having brown eyes. The probability of 0.90 is calculated by taking the total number of individuals with brown eyes and brown hair and dividing it by the total number of individuals with brown eyes. The number is large because 90% of the individuals with brown eyes have brown hair, it is the largest because it is the highest probability among the other marginal relative frequencies. This indicates that the majority of people with brown eyes also have brown hair
what is the angle with tangent 1.125
Answer:
You can find the value of the tangent of any angle on a unit circle. Just draw a vertical line from the x-axis at either zero or pi until it intersects what is the extension of the radius through the angle. The length of that vertical line is the value of the tangent at the angle in question.
Step-by-step explanation:
In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).
Helpful Tip!:)
Which expression is equivalent to 3 square root 27c7 • 3 square root 250c2, if c≠0
Answer:3 square root 27c7 • 3 square root 250c2 can be simplified by applying the property of square roots, (√a * √b) = √(ab) .
So, 3 square root 27c7 • 3 square root 250c2 = √(27c7 * 250c2) = √(27250c7c2) = √(675c7*c2) = √(675c9) = √(675) * √(c9) = 15c3
Therefore, 3 square root 27c7 • 3 square root 250c2 = 15c3 is the equivalent expression.
Step-by-step explanation:
Find the value of the pronumerals in each pair of similar triangles.
So on solving the provided question we can say that here in both triangles are similar, y = 10; x = 12
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here in both triangles are similar,
y = 10
x = 12
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A 1.5 kg pendulum swings from point A of height yA = 0.04m to point B of height yB = 0.12m. The heights are relative to the lowest height. What is the change in gravitational potential energy from A to B?
Answer:
The change in gravitational potential energy from point A to point B can be calculated using the formula:
ΔU = mgh
Where:
m = mass of the pendulum = 1.5 kg
g = acceleration due to gravity = 9.8 m/s^2
h = change in height = yB - yA = 0.12 m - 0.04 m = 0.08 m
So, the change in gravitational potential energy from A to B is:
ΔU = (1.5 kg)(9.8 m/s^2)(0.08 m) = 1.176 J
So, the change in gravitational potential energy from A to B is 1.176 Joules.
Note: 333 HRDs were invited to complete the survey,
one per organisation. 45% of invitees actually
completed the survey.
Healthcare
Consu
Information a
Communication
Infra
EnerBy
Basica
Inggers
0%
10%
20%
30%
If 30 more HRDS responded to the survey,
which of the following is the best estimate of
the number of people employed by the 30
organisations these HRDS represent?
Answer:
Step-by-step explanation:
Assuming that the same ratio of invitees to respondents holds true for the 30 additional HRDs, the best estimate of the number of people employed by the 30 organisations is 67.5 (30/45*100). This means that the total number of people employed by the 363 organisations represented by the 333 invited HRDs and the 30 additional HRDs is 5,475 (5,407.5 + 67.5).
ANYONE GOOD AT MATH PLEASE HELP!!!!!
Answer:
Step-by-step explanation:
set up the composite function and simplify: first one is -3, second is -2
N·58+ (4 x 12-40) to the power of 2
GEMDAS
The final answer is N * 58 + 64.
What is the PEMDAS?
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction (from left to right).
The order of operations (PEMDAS) tells us to perform the following steps:
Parentheses: (4 x 12 - 40) to the power of 2 = (-8)^2 = 64
Exponents: N * 58 + 64
Multiplication and Division: from left to right
Addition and Subtraction: from left to right
Hence, the final answer is N * 58 + 64, since we do not know the value of N we can't solve it.
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(30 POINTS) A newly hired lawyer receives a $15,000 signing bonus from a law firm and invests the money in a savings account at 4.75% interest. After 42 months, the lawyer checks the account balance.
Part A: Calculate the interest earned, to the nearest dollar, if the interest is compounded quarterly. Show all work. (2 points)
Part B: Calculate the interest earned, to the nearest dollar, if the interest is compounded continuously. Show all work. (2 points)
Part C: Using the values from Part A and Part B, compare the interest earned for each account by finding the difference in the amount of interest earned. (1 point)
Chau used 6 rolls of blue fabric to make costumes for the annual school play. He used the total length of 14.4yd of fabric. If each roll had the same length of fabric, how much fabric was in each roll? Write your answer in inches.
Answer: Each roll of fabric had 86.4 inches of fabric.
Step-by-step explanation:
Each roll of fabric used in the annual school play had a length of 14.4yd / 6 rolls = 2.4 yards of fabric.
1 yard = 36 inches
so, 2.4 yards = 2.4 x 36 inches = 86.4 inches
Each roll of fabric had 86.4 inches of fabric.
Explanation: The problem states that Chau used 6 rolls of blue fabric, and the total length of fabric used was 14.4 yards. Dividing the total length of fabric by the number of rolls gives the length of each roll, which is 2.4 yards or 86.4 inches.
Select all correct ways of factoring -5x - 15.
Selections:
-5(x+3)
5(x+3)
5(-x-3)
-5(x-3)
5(x-3)
ANSWER AND I'LL GIVE BRAINLIEST!!
Correct answers:
1. -5(х+3)
1. -5(х+3)2. 5(-х-3)
Answer:
option 4th is answer ...............
-5x-15 =-5(x-3)
True or false ? Not all consumers act according to the classical definition of a rational consumer
Answer:
this statement is true .............
3. Ramon gives his friend his address: 1834 Norman Heights Hillbrow Johannesburg 3.1 What floor does Ramon live on? 3.2 What is Ramon's flat number?
The floor that Ramon lives on, given the address that Ramon gave his friend in Johannesburg, is Floor 18.
Ramon's Flat number, given the address, is Flat 34.
How to write a flat address in South Africa ?In South Africa, there is a way to write the floor that a person stays on and the flat number, in the address that they give to you. The format is such that the first two numbers would represent the floor number. This means that an address of 0208 would means that the floor number is the 2nd floor.
The second two numbers would then be the flat number of the person which means that an address of 0208 would have a flat number of 08.
Ramon's address of 1834 Norman Heights Hillbrow Johannesburg would then be Floor 18 and Flat 34.
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Required information
[The following information applies to the questions displayed below.]
The following financial statement information is from five separate companies.
Company C
$ 20,480
11,059
Beginning of year
Assets
Liabilities
End of year
Assets
Liabilities
Changes during the year
Stock issuances
Net income (loss)
Cash dividends
Company A
$ 32,000
26,240
37,000
6,000
8,390
3,500
Company B
$ 24,960
17,472
26,640
18,115
1,400
?
2,000
?
12,147
9,750
5,400
5,875
2a. What is the amount of equity at the beginning of the year for Company B?
2b. What is the amount of equity at the end of the year for Company B?
2c. Compute the net income of the year for Company B.
Complete this question by entering your answers in the tabs below.
Company D
$ 56,960
39,302
Answer is complete but not entirely correct.
67,340
32,323
?
10,359
0
Company E
$ 87,360
?
102, 120
80,674
6,500
8,474
11,000
Answer:
this is very big question and the answer I think so is 11474
Look at the picture
the photo is not loading ok this is your photo open this and see now that address now because you are so
The amount of light reflected up through the top of a
diamond (brilliancy) can be maximized using the ratio between the width of the
diamond and the depth of the diamond. A gemologist has a diamond with a width of
80 millimeters. If x represents the depth of the diamond, then 80/x
represents the
brilliancy ratio y. Describe the reasonable domain and range values. Graph the function.
The domain and range are (0 , ∞) and (0 , ∞).
What is domain ?
The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The set of all initial elements in ordered pairs constitutes the domain (x-coordinates). The set of all second items in ordered pairs is the range (y-coordinates).
Given
y = 80 / x
As per the graph the domain and range are
domain : (0 , ∞)
{depth of the diamond > 0 }
range : (0 , ∞)
{ratio > 0}
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