The type of function that represents the bank account as a function of time is: this is an exponential function because there is a common ratio in the balance between the months.
How to determine the type of function?In order to determine the type of function that models or represents the bank account as a function of time, we would check whether or not there is a common difference or common ratio.
In Mathematics, a linear function is used to model a situation when there exist a constant or common difference between its consecutive terms. On the other hand, an exponential function there is used to model a situation when there exist a constant or common ratio between its consecutive terms.
For the common difference, we have:
d = 1,474.56 - 1,843.20 = -368.64
d = 1,843.20 - 2,304.00 = -460.8
Therefore, the bank account as a function of time is not a linear function.
For the common ratio, we have:
r = 1,474.56/1,843.20 = 0.8
r = 1,843.20/2,304.00 = 0.8
Therefore, the bank account as a function of time is an exponential function.
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Answer:
the bank account as a function of time is an exponential function.
Step-by-step explanation:
[tex]8\frac{9}{20} -5\frac{7}{12}[/tex]
The value of fraction [tex]8\frac{9}{20} -5\frac{7}{12}[/tex] = 2.86.
= [tex]8\frac{9}{20} -5\frac{7}{12}[/tex]
it is in the mixed fraction so write it as unmixed.
= 20*8+9 /20 - 12*5+7 / 12
= 160+9 /20 - 60+7 /12
= 169/20 - 67/12
= 8.45 - 67/12
= 12*8.45 - 67 / 12
= 101.4 - 67 / 12
= 34.4/12
= 344/10/12
= 344/10*12
= 344/120
= 2.86
Therefore the value of fraction [tex]8\frac{9}{20} -5\frac{7}{12}[/tex] = 2.86.
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The amount owed at the end of the 6 years duration is $10865
How to determine the amount owed in six years?The given parameters about the compound interest are
Principal Amount, P = $5300
Interest Rate, R = 8%
Time, t = 6 years
To calculate the amount owed, we make use of the following formula
A = P + CI
Where
Compound interest, CI = P(1 + R)^t - P
So, the equation becomes
A = P + P(1 + R)^t - P
Evaluate the like terms
A = P(1 + R)^t
In this question, the formula is given as
A = P(1 + r/n)^nt
Where
n = 12, i.e compounded monthly
Substitute the known values in the above equation
A = 5300 * (1 + 8%/12)^(6*12)
Express 8% as decimal
A = 5300 * (1 + 0.08/12)^(6*12)
Evaluate the sum
A = 5300 * (1.01)^(6*12)
Evaluate the exponent
A = 5300 * 2.05
Evaluate the product
A = 10865
Hence, the value of the amount after 6 years is $10865
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According to the WHO MONICA Project the mean blood preure for people in China i 128 mmHg with a tandard deviation of 23 mmHg. Aume that blood preure i normally ditributed
0.0088 is standard deviation of blood presure is normally distributed.
What is standard deviation simple terms?
Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. A low standard deviation means that values are clustered close to the mean, whereas a high standard deviation means that values are typically far from the mean.Blood pressure in china
= P( x> 182.6 )
= P( x> 182.6 - 128/23)
= P( Z > 2.3739 )
= 0.0088
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Find x.
a) 3√3
b) 81
c) 9√3
d) 6√3
Step-by-step explanation:
(x + 2)( x – 2)
A. x2 − 8
B. 3x2 − 14x − y
C. x2 − 4
D. x2 − 2
2. Factor Completely: x2 − 36
A. (x + 6)(x – 6)
B. (x + 6)(x + 6)
C. (x – 6)(x − 6)
D. Prime
3. Factor Completely: 4x2 − 81
A. (4x – 9)(x + 9)
B. (2x + 9)(2x + 9)
C. (2x + 9)(2x – 9)
D. (2x – 9)(2x − 9)
4. Factor Completely: x2 + 16
A. (x + 4)(x + 4)
B. (x + 4)(x – 4)
C. Prime
D. (x – 4)(x − 4)
5. Factor Completely: 2x2 − 18
A. Prime
B. 2(x2 − 9)
C. 2(x + 3)(x – 3)
D. 2(x + 3)(x + 3)
6. Factor Completely: 3x2 − 21
A spinner was spun 30 times. It landed 6 times on red, 9 times on yellow, and 15 times on blue.
Calculate the probability of the spinner landing on each color.
Answer:
The probility is 10%
Step-by-step explanation:
a ream of paper contains 500 sheets. how many reams are needed to type a manuscript of 6000 pages? Explain why.
Answer: 12 reams of paper
Step-by-step explanation:
The total number of pages (sheets) necessary is 6000. If a single ream of paper contains 500 sheets, to solve the problem, you need to figure out how many 500s go into 6000. This can be done via division, and therefore,
[tex]6000/500=12[/tex]
48 tens divided 6 tens
Answer:
The answer is 8.
Step-by-step explanation:
Since 48 10s, equals 480, and 6 tens equal 60, we do 480/60 which equals 8.
PLEASE HELP WOULD APPRECIATE IT WILL MAKE BRAINLYEST IF YOU REMIND ME! AND FOR CORRECT ANSWER
Beatrice makes a jar of dry soup mix. The ingredients are:
1\frac {3}{4}
4
3
= \frac {7}{4}
4
7
cups uncooked rice
\frac {1}{2}
2
1
cup dry lentils
1\frac {2}{3}
3
2
= \frac{5}{3}
3
5
cups uncooked pasta
\large \frac {1}{3}
3
1
cup beef bouillon
\frac {1}{4}
4
1
cup dried onion flakes
\frac {1}{2}
2
1
cup dried peas
How much soup mix does this recipe make?
Answer the questions to find out.
The sum \frac {7}{4}
4
7
+ \frac {1}{2}
2
1
+ \frac{5}{3}
3
5
+ \large \frac {1}{3}
3
1
+ \frac {1}{4}
4
1
+ \frac {1}{2}
2
1
gives the amount of mix.
1. Which property could you use to change the order of the addends? (2 points)
2. Which property could you use to change the grouping of the addends? (2 points)
3. Use these properties to rewrite \frac {7}{4}
4
7
+ \frac {1}{2}
2
1
+ \frac{5}{3}
3
5
+ \large \frac {1}{3}
3
1
+ \frac {1}{4}
4
1
+ \frac {1}{2}
2
1
in a way that makes the addition easier. Explain how your changes simplify the addition. (3 points)
4. Simplify your sum to find the total amount of soup mix. Show your work. (3 points)
Values = [ 14, 10, 8, 19, 7.13] print the interger at index 2 of values and print the integer at index -2 of values, both on one line.
Therefore, the final code would be:values = [ 14, 10, 8, 19, 7.13] print(values[2], values[-2])This code would print the following output:8 19
What is meant by indices?Indices, also known as exponents or powers, are mathematical symbols that express the repeated multiplication of a number. These numbers show how many times the base number has been multiplied by itself. For example, the index of 2 in the formula 23 is 3, which indicates that 2 is multiplied by itself three times to provide the value 8. Indices are often written as little numbers to the right and above the base number, with the latter enclosed in parentheses or brackets. Indices are often used to indicate the size or quantity of a number in mathematical model, but they may also be used to represent the degree of a polynomial function or the order of a derivative in calculus.
How to solve?
To print the integer at index 2 of the values list, we can use the following code: print(values[2])
To print the integer at index -2 of the values list, we can use the following code: print(values[-2])
Here, the index -2 refers to the second-to-last element in the list, which is the integer 19.
Therefore, the final code would be:
values = [ 14, 10, 8, 19, 7.13]
print(values[2], values[-2])
This code would print the following output:
8 19
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please help what is the solution
Answer:
1<x≤6
Step-by-step explanation:
Subtract 5 from 6 and 5 and 11
I need help immediately!! For large parties at a certain restaurant, a tip of 20% is automatically included on the bill. Select yes or no to show whether each of the following tip amounts are correct for a 20% gratuity on each subtotal. Round to the nearest cent if necessary.
yes no
subtotal: $224.60
tip: $46.42
subtotal: $173.51
tip: $34.70
subtotal: $124.29
tip: $24.86
20% is .20
multiply .20 to every subtotal to get the tip
$46.42? no its really 44.92
$34.70? yes
$24.86? yes
Manuel is using a table to calculate information for an upcoming business trip. Based on the table, for every 60 miles traveled, the number of gallons of fuel he uses increases by approximately how many gallons?
120 6
180 9
240 12
300 15
360 18
A. 3 gallons
B. 6 gallons
C. 12 gallons
D. 18 gallons
For every 60 miles traveled 3 gallons of fuel usage is increasing approximately.
Given,
Manuel is using a table to calculate information for an upcoming business trip.
We have to find the number of gallons of fuel he uses increases by approximately for every 60 miles traveled.
Here,
Distance in miles ;- 120, 180, 240, 300, 360
Fuel used in gallons;- 6, 9, 12, 15, 18
Then,
For 120 miles 6 gallons of fuel is usedFor 180 miles; 9 - 6 = 33 gallons of fuel is used
Lets check for this to all;-
For 240 miles; 12 - 9 = 3For 300 miles;- 15 - 12 = 3For 360 miles;- 18 - 15 = 3That is,
For every 60 miles traveled 3 gallons of fuel usage is increasing approximately.
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ABCD is a rhombus.
The coordinates of A are (5,11)
The equation of the diagonal DB is y = [tex]\frac{1}{3}[/tex] x + 5
The equation of the diagonal AC can be written in the form y = mx + c where m and c are integers.
Work out the value of m and the value of c.
Answer:
m = - 3 and c = 26
Step-by-step explanation:
• the diagonals of a rhombus are perpendicular bisectors of each other
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 5 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then
y = - 3x + c ← is the partial equation of AC
to find c substitute A (5, 11 ) into the partial equation
11 = - 15 + c ⇒ c = 11 + 15 = 26
y = - 3x + 26 ← equation of diagonal AC
with m = - 3 and c = 26
Simplify the following expression. -4 × (-7) A. -28 B. -11 C. 28 D. 11
Answer:
C. 28
Step-by-step explanation:
-4×(-7)
Open bracket
-4×-7
=28
Find the perimeter and area of the rectangle with vertices (1, 7), (1, -2), (-3, -2), and (-3, 7).
Check the picture below.
select the expression that shows the distributive property applied to 5(6 + 8)
A.5 ⋅ 6 + 8
B.5 ⋅ 6 + 6 ⋅ 8
C.5 ⋅ 6 + 5 ⋅ 8
D.5(8+6)
urgent
NEEDED ASAP!! 50 points
Suppose f(x) = 2x - 5 and g(x) = |- 3x - 11. Find each value.
5. f(3)
6. f(1) + g(2)
7. g(0)
8. g(2)-f(0)
9. f(-1) - g(3)
10. 2g(-4)
The value of the given linear functions are:
5. f(3) = 1
6. f(1) + g(2) = 14
7. g(0) = 11
8. g(2) - f(0) = 22
9. f(-1) - g(3) = 20
10. 2g(-4) = 2
We are given the linear functions:
f(x) = 2x - 5 and
g(x) = |- 3x - 11|
Let us solve one by one:
5. f(3)
Substitute the value of x with 3 in f(x), we will get;
f(3) = 2 * 3 - 5 = 6 - 5 = 1
6. f(1) + g(2)
f(1) = 2 * 1 - 5 = 2 - 5 = -3
g(2) = |- 3 * 2 - 11| = |- 6 - 11| = 17
f(1) + g(2) = -3 + 17 = 14
7. g(0)
g(0) = |- 3 * 0 - 11| = | - 11| = 11
8. g(2) - f(0)
g(2) = |- 3 * 2 - 11| = |- 6 - 11| = 17
f(0) = 2 * 0 - 5 = 0 - 5 = -5
g(2) - f(0) = 17 - (-5) = 22
9. f(-1) - g(3)
f(-1) = 2 * -1 - 5 = -2 - 5 = -7
g(3) = |- 3 * 3 - 11| = |- 9 - 11| = 20
10. 2g(-4)
g(-4) = |- 3 * -4 - 11| = |12 - 11| = 1
2g(-4) = 2 * 1 = 2
Thus, the value of the given linear functions are:
5. f(3) = 1
6. f(1) + g(2) = 14
7. g(0) = 11
8. g(2) - f(0) = 22
9. f(-1) - g(3) = 20
10. 2g(-4) = 2
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error analysis correct the error in the following equation explain the mistake 5x + 5(-2x - 12) = 130 5x + -10x - 60 = 130 =65x = 130 x = -2
Answer:
Step-by-step explanation:
The given error full solution is
5x+5(-2x-12)=130
5x+-10x-60=130
65x=130x=-2.
Correct answer is given as
5x+5(-2x-12)=130.
We solve this question using Bodmas rule. So first we remove the parenthesis.
5x+5(-2x-12)=130
5x+5(-2x)+5(-12)=130
5x-10x-60=130
-5x=130+60
-5x=190
dividing both side by by (-5). We, get
x=190/(-5)
x=-38
Hence, the correct answer is x=-5
Ramon earns $1,615 each month and pays $53.70 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Ramon spends _____% of his earnings on electricity each month.
Answer:
Around 3.3%
Step-by-step explanation:
How do I figure out area?.
We can figure out area of any polygon we majorly follow the two steps first we divide any polygon into the shape of any known geometrical figures or in general integrate it.
What is area ?A two-dimensional figure, form, or planar lamina's area is a measure of how much space it takes up in the plane. The area is simply the amount of cloth or other material with the specified thickness needed to build a model of the shape or the quantity of paint required to cover the shape's surface in a single layer, or "coat," of paint. It is the two-dimensional representation of a curve's length or a solid's volume, where length is a one-dimensional concept and volume is a closely related three-dimensional term.
There are a tonne of 2-D shapes all around us, including circles, triangles, squares, rectangles, parallelograms, and trapezoids. You are able to draw.
To figure out area of any polygon we follow the following two ways:
Divide the shape into triangles and sum up the areas. This technique is used in polygonsBy finding an equation of the shape or a part of it and then integrate followed by summing up the areas of the parts.To know more about Area, visit:
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WILL GIVE BRAINLIEST
Insert negative signs, and addition and subtraction symbols to make each sentence true. Example: 1 = 1 +(-2)+(-3)+4+(-5)+6
a. 7= 1?2?3?4?5?6 b. 3= 1?2?3?4?5?6
c. -1=1?2?3?4?5?6 d. -11=1?2?3?4?5?6
The true sentences are:
(a) 7 = 1+2+(-3)+(-4)+5+6
(b) 3 = 1 +(-2)+(-3) +(-4) +5 +6
(c) -1= 1+ 2 + 3 + 4 + (-5) + (-6)
(d) -11= 1 + (-2) + (-3) + 4 + (-5) + (-6)
What is an equation?Two or more expressions with an equal sign are defined as an equation.
(a) The given equation is 7=1?2?3?4?5?6.
7=1?2?3?4?5?6
Insert symbols:
7 = 1+2+(-3)+(-4)+5+6
(b) The given equation is 3=1?2?3?4?5?6.
3=1?2?3?4?5?6
Insert symbols:
3 = 1 +(-2)+(-3) +(-4) +5 +6
(c) The given equation is -1=1?2?3?4?5?6.
-1=1?2?3?4?5?6
Insert symbols:
-1= 1+ 2 + 3 + 4 + (-5) + (-6)
(d) The given equation is -11=1?2?3?4?5?6.
-11=1?2?3?4?5?6
Insert symbols:
-11= 1 + (-2) + (-3) + 4 + (-5) + (-6)
Hence, The true sentences are:
(a) 7 = 1+2+(-3)+(-4)+5+6
(b) 3 = 1 +(-2)+(-3) +(-4) +5 +6
(c) -1= 1+ 2 + 3 + 4 + (-5) + (-6)
(d) -11= 1 + (-2) + (-3) + 4 + (-5) + (-6)
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I am stuck on this question, help please!
Answer:
y= -1x + 4 or y= -x + 4
Step-by-step explanation:
The base of a parallelogram is 6ft more than the height. If the area of the parallelogram is 27ft^2, what are the measure of the base and the height?
The measure of the base and the height of the parallelogram are;
Height = 3 ft
Base = 9 ft
How to calculate the area of a parallelogram?The formula for the area of a parallelogram is expressed as;
Area = Base × Height
From the question, we are told that the base of the parallelogram is 6 ft more than the height. Thus;
Base = 6ft + h
If the area of the parallelogram is 27 ft^2, then the measures of the base and the height is calculated as;
27 ft² = ( 6 + h ) × h
27 = 6h + h²
h² + 6h - 27 = 0
h² + 9h - 3h - 27 = 0
h(h + 9) - 3(h + 9) = 0
(h + 9)(h - 3) = 0
h = -9 or 3
We will pick the positive one which is 3 and so;
height = 3ft
Base = 6 + 3
Base = 9ft
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What is an equation of the line that passes through the points (0, 4) and (-6, 8)?
Answer,
Submit Answer
The required equation of the line is 3x + 2y = 8.
What is an equation?
Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also explores and solves Diophantine equations with integer coefficients. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.
The required equation of the line is
(y-4) = (0+6)/(4-8) (x-0)
or, y - 4 = 6/(-4) x
or, y - 4 = -3/2 x
or, 2y - 8 = -3x
or, 3x + 2y = 8
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which of the following is correct about a probability distribution? each outcome must be between 0 and 1 inclusive outcomes must be mutually exclusive sum of all possible outcomes must equal 1 all the above
Answer:
All of the above are correct.
Mariam ue 12 gallon of ga to drive 259. 2 mile in her car. Find the rate of change
The rate of change is 21.6 mpg.
The rate of change determines how one variable changes because of another variable. This rate value can be either positive or negative. Considering x as an independent variable and y as a dependent variable, the rate of change for these two variable is given by,
[tex]\text{rate of change}= \frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}[/tex]
From the given value, miles traveled is a dependent variable because it depends on the amount of gas. So the amount of gas is the independent variable.
Therefore, the rate of change is,
[tex]\begin{aligned}\text{rate of change}&=\frac{\Delta y}{\Delta x}\\&=\frac{\mathrm{259.2\;miles}}{1\mathrm{2\;gallons}}\\&=\mathrm{21.6\;mpg}\end{aligned}[/tex]
Therefore, the rate of change is 21.6 miles per gallon.
This formula is also used to calculate gas mileage.
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The complete question is -
Mariam uses 12 gallons of gas to drive 259.2 miles in her car. Find the rate of change.
how is the slope coefficient interpreted in a log-linear model, where the independent variable is in logarithms but the dependent variable is not? in a linear-log model? in a log-log model?
Interpret the coefficient as the percent increase in the dependent variable for every 1% increase in the independent variable.
What is log-linear model?Log-linear models specify how the cell counts depend on the levels of categorical variables, going beyond simple summary statistics. They simulate the relationships and interactions between categorical variables. For Poisson, Multinomial, and Product-Multinomial sampling, the log-linear model makes sense. Log-linear models specify how the cell counts depend on the levels of categorical variables, going beyond simple summary statistics. They simulate the relationships and interactions between categorical variables. For Poisson, Multinomial, and Product-Multinomial sampling, the log-linear model makes sense.
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.08 divided by 13.56
Answer:
0.08 divided by 13.56 = 0.00589970501.
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer: 0.00589970501
A rotation by angle ACE using point C as the center takes triangle CBA onto triangle CDE.
a. Explain why the image of ray CA lines up with ray CE.
b. Explain why the image of A coincides with E.
c. Is triangle C BA congruent to triangle CD E? Explain your reasoning.
c. Yes ΔCBA is congruent to ΔCDE because satisfying meaning of definition by congruency.
How to rotate a triangle using a single point as center?
Following these steps will allow you to rotate a triangle around a fixed point: To one of the triangle's vertices, draw a line extending from the fixed point. Draw the rotated line by taking the angle measurement from this line at the fixed point.
a. The triangle is rotated by ∠ACE , the ray CA also rotated by ∠ACE. Thus the image of ray CA lines up with CE.
b. The rotated edge of CA is CE, thus the image of A coincides with E.
c. Rotation by ∠ACE using C as center.
As figure is rotated from ∠C from ΔCBA
⇒ΔCAB ≅ ΔCED
Thus the definition of congruence as that a triangle will be are other triangle if they are congruent
∠CBA ≅ ∠CDE
AC = CD
AB = DE
Yes ΔCBA is congruent to ΔCDE because satisfying meaning of definition by congruency.
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