Answer:
54.54
Step-by-step explanation:
If you take 1200 and divide it by 22, you get this. Hope it helps!
When Bruce got his first job, he put $6,225 of his earnings into an investment account to save for retirement. The value of the account is predicted to double each decade.
Write an exponential equation in the form y=a(b)x that can model the predicted value of Bruce's investment account, y, x decades after starting the account.
Use whole numbers, decimals, or simplified fractions for the values of a and b
The exponential function to model the predicted value of Bruce's investment account is
y = 6225 * 2^x.
What is an exponential function?The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
here, we have,
we know that,
An exponential function is written in the form - y=a*(b)^x
Here, y is the function, a is the base value b is the rate and x is time period.
now, we have,
from the given information, we get,
This equation uses the initial value of the account (6225)
and the base of the exponent (2) representing the account will double in value every decade.
if, we have,
the predicted value of Bruce's investment account is y.
time period is, x decades after starting the account.
So, the exponential equation will be -
y = 6225 * 2^x.
Therefore, the exponential equation is .
y = 6225 * 2^x.
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How do you factor with 4 parts?
When a polynomial has four or more terms, the easiest way to factor it is to use grouping.
Grouping can be understand more better with an example:
for eg: factor x^3 + x^2 – x – 1 by using grouping. Just follow these steps:
Break up the polynomial into sets of two. You can go with (x^3 + x^2) + (–x – 1). Put the plus sign between the sets, just like when you factor trinomials. The square x2 is the GCF of the first set, and –1 is the GCF of the second set. Factoring out both of them, you get x^2(x + 1) – 1(x + 1).one can Factor again as many times as you can. The two terms you’ve created have a GCF of (x + 1). When factored out, you get (x + 1)(x^2 – 1).However, x^2 – 1 is a difference of squares and factors again as (x+1)(x-1). This gives you a final factorization of: (x + 1)(x + 1)(x – 1), or (x + 1)2(x – 1).
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someone help me with both of these geometry problems
Step-by-step explanation:
Regular decagons have two additional identifying properties: 10 exterior angles of 36° , summing to 360° 10 interior angles of 144° , summing to 1,440°
Each interior angle of a regular dodecagon is equal to 150°. Each exterior angle of a regular dodecagon is equal to 30°. 30×12= 360
After learning how to fly, Wendy reduced her daily commute time by 75%. Previously, her commute took me minutes. Which of the following expressions could represent Wendy's commute time, in minutes, after she learned how to fly
The time taken by Wendy after she learned flying is m/4 minutes or 0.25m minutes.
We will solve this problem with the help of Percentages.
In the concept of percentages, we know that:
100% = 100/100 = 1
75% = 75/100 = 3/4
50% = 50/100 = 1/2
25% = 25/100 = 1/4
In our question, it is given that previously wendy took ‘m’ minutes to commute.
Now she reduced her daily commute by 75% after learning how to fly.
So, our new time = (100-75)% of previous time
= 25% of m minutes
= 25/100 of m minutes = ¼ of m minutes = m/4
So our final answer will be m/4 minutes or 0.25m minutes taken by wendy to commute now.
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HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
2nd choice: -3x - 5 = 10
Step-by-step explanation:
10 - x = -5
-x = -5 - 10 = -15
-3x - 5 = 10
-3x = 10 + 5
x = 15/-3 = -5
How do you write a compound statement in symbolic form?
A compound statement is a statement that combines two or more simpler statements using logical connectives such as "and", "or", "not", "if-then", "if and only if", etc. To write a compound statement in symbolic form, you can use logical symbols to represent the different parts of the statement.
"∧" (and) is used to connect two statements, meaning that both statements must be true for the compound statement to be true. For example, "P ∧ Q" is read as "P and Q" and represents the statement "P and Q are true."
"∨" (or) is used to connect two statements, meaning that at least one of the statements must be true for the compound statement to be true. For example, "P ∨ Q" is read as "P or Q" and represents the statement "P or Q is true."
"¬" (not) is used to negate a statement, meaning that the statement is false if the original statement is true and vice versa. For example, "¬P" is read as "not P" and represents the statement "P is false."
"→" (if-then) is used to connect two statements, meaning that if the first statement is true, then the second statement must also be true. For example, "P → Q" is read as "if P then Q" and represents the statement "if P is true, then Q is also true."
"↔" (if and only if) is used to connect two statements, meaning that the two statements are either both true or both false. For example, "P ↔ Q" is read as "P if and only if Q" and represents the statement "P is true if and only if Q is true."
For example, the compound statement "If it is raining, then I will bring an umbrella, but if it's not raining, I will wear sunglasses" can be written in symbolic form as:
(R → U) ∧ (¬R → S)
Where "R" represents the statement "it is raining", "U" represents the statement "I will bring an umbrella" and "S" represents the statement "I will wear sunglasses".
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jancie's cheerleading team designed two posters to hang around school to advertise their upcoming competition. the posters were shaped like parallelograms. the smaller of the two posters had a base of 6 1/2 feet and a total area of 16 1/4 feet. the larger poster had a base of 8 1/2 feet and a total area of 34 square feet. how much taller is the larger poster than the smaller poster?
Answer:
1.5 ft
Step-by-step explanation:
The area of a parallelogram is base times height.
So to find the height, you will need to use area/base
Small: 16.25/6.5=2.5 ft
Large: 34/8.5=4ft
4-2.5=1.5ft
Vivian and her dad drive 4 hours to the rock and roll hall of fame in Cleveland, Ohio. if they drive at the same rate how far do they travel.
Vivian and her dad travelled for a total distance of 12 miles
How to determine how far they travelFrom the question, we have the following parameters that can be used in our computation:
Time taken = 4 hours
Rate of travel = 3 miles per hour
The distance travelled can be calculated using the following equation
Distance = Rate of travel * Time taken
Substitute the known values in the above equation, so, we have the following representation
Distance = 3 miles per hour * 4 hours
Evaluate the product
So, we have the following representation
Distance = 12 miles
Hence, the distance is 12 miles
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Complete question
Vivian and her dad drive 4 hours to the rock and roll hall of fame in Cleveland, Ohio. if they drive at the same rate how far do they travel if the rate is 3 miles per hour
Julia take a bead from the bag at random
c) how that the probability that thi bead i purple
The probability that the bead taken from the bag is purple or red is total is 0.75 or 3/4.
The total number of beads in the bag is 12.
Out of these, 3 are purple and the rest are red (12-2-1-3 = 6). So, the probability of drawing a purple bead is 3/12 and the probability of drawing a red bead is 6/12.
To find the probability of drawing either a purple or red bead, we add the individual probabilities together: (3/12) + (6/12) = 0.25 + 0.5 = 0.75. This means that there is a 75% chance that the bead taken from the bag will be purple or red.
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The complete question is -
Write down the letter of the event that is likely. bag contains 12 beads_ 2 of the beads are blue: of the beads are green: 3 of the beads are purple: The rest of the beads are red: Julia takes a bead from the bag at random c) Show the probability that this bead is purple Or red is Totulmen.
Miss Jennifer is buying pencils in packs of 12, notebooks in packs of 16, and red pens in boxes of 20. She needs to have the same number of pencils, notebooks, and red pens. How many packs of each type should she buy?
someone pls help
She needs to purchase 240 packets of each kind in order to have an equal amount of pencils, notebooks, and red pens.
what is LCM ?Least Common Multiple is referred to as LCM. The smallest number that is a multiple of both numbers is the least common multiple of the two. The first few multiples of each integer should be listed.
Look for duplicates that appear on both lists. Write out additional multiples for each number if the lists don't contain any common multiples. The least integer shared by both lists should be found. The LCM is this figure.
given
This entails determining the 16, 12, and 20 Least Common Multiples (LCM).
2⁴ = 16 = 2 * 2 * 2 * 2
2²*3 = 12 = 2 * 2 * 3
2²*3 = 12 = 2 * 2 * 3
2²*5 = 2 * 2 * 5
Keep in mind that LCM is the prime factorization of the involved integers multiplied by the highest power of each prime factor;
22 * 3 * 5 = 240.
She needs to purchase 240 packets of each kind in order to have an equal amount of pencils, notebooks, and red pens.
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Are 6x - x + 5 and 6+5 equivalent?
Answer:
no
Step-by-step explanation:
the one equation has variables and numbers go in for the variable and the other equation just equals 11
simplify 2√12+3√48-√75
Answer:
11√12
Step-by-step explanation:
√12 = 2√3
2√12
= 2 * 2√3
= 4√3
√48 = 4√3
3√48
= 3 * 4√12
= 12√12
√75 = 5√3
2√12 + 3√48 - √75
= 4√3 + 12√12 - 5√12
= 16√12 - 5√12
= 11√12
Answer: My answer is 11√3
Step-by-step explanation:
Pull terms out from under the radical, assuming positive real numbers.
Exact Form:
11√3
Decimal Form:
19.05255888…
Chris put $5,500 into a savings account that pays 5% interest compounded monthly. How much would be in his account after one month?
Answer:
$5,775
Step-by-step explanation:
The equation is:
A = P( 1 + rt)
We know
P = $5,500
r = 5% = 0.05
t = 1 month
Let's solve
A = 5,500( 1 + 0.05 x 1)
A = 5,500( 1.05)
A = $5,775
So, his account will be at $5,775 after one month.
A cooker is priced at £80 after a 20% reduction from the original price.
Answer: original price: £400
Step-by-step explanation:
20/100 × original price = £80
Original price = £80 ÷ 20/100
= £400
can someone tell me what the answer is to this math problem
(-5 3) and (-1 0)
i thinj the answer is 2-1
Angles A and B are complementary. If sin A = 4x + 10 and cos B = 2x + 16, what is the value of x?
The value of x is 10.66
What is complementary angles?
Complementary angles is when the sum of two angles is equal to 90 degrees. for example, 30 degrees and 60 degrees are complementary angles.
If the sum of two angles is 90 degrees then we say that they are complementary. Thus, the complement of an angle is obtained by subtracting it from 90. for example the complement of 40° is 90° - 40° = 50°
So we have Sin A and Cos B
4x + 10+ 2x + 16= 90
Collect like terms
6x+ 26= 90
6x= 90-26
6x= 64
x= 64/6
x= 10.66
Therefore, the value of x is 10.66
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Given the function p(x)=6x+2, compare and contrast p(-2) and p(4). Choose the statement that is true concerning these two values.
(A) The value of p(-2) is larger then the value of p(4).
(B) The value of p(-2) is smaller then the value of p(4).
(C) The value of p(-2) is the same as the value of p(4).
(D) The values of p(-2) and p(4) cannot be compared.
Given the function p(x)=6x+2, p(-2) is -10 while p(4) is 26, this shows that value of p(-2) is smaller than the value of p(4). The correct option is B.
What is a function?A function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). It is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Let A & B be any two non-empty sets; mapping from A to B will be a function only when every element in set A has one end, only one image in set B.
p(x)=6x+2
for p(-2)
p(-2) = 6(-2) + 2
p(-2) = -12 + 2
p(-2) = -10
for p(4)
p(4) = 6(4) + 2
p(4) = 24 + 2
p(4) = 26
p(-2) < p(4)
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Answer:
(B) "The value of p(-2) is smaller then the value of p(4)" is True
Step-by-step explanation:
p(x)=6x+2
p(-2) = 6*(-2)+2
p(-2) = -12+2
p(-2) = -10
p(4) = 6*(4)+2
p(4) = 26
====
p(-2) = -10
p(4) = 26
===
(A) The value of p(-2) is larger then the value of p(4). False
(B) The value of p(-2) is smaller then the value of p(4). True
(C) The value of p(-2) is the same as the value of p(4). False
(D) The values of p(-2) and p(4) cannot be compared. False
What is the best sequence of names to
identify the elements of this set of
numbers?
(0.67,3-√4,√8,0.14)
1) real, rational, irrational, irrational,
irrational
2) rational, real, integer, irrational,
irrational
3) rational, rational, real, real,
irrational
4) rational, rational, integer, irrational,
rational
On solving the provided question, we can say that - sequence (0.67,3-√4,√8,0.14) are the rational, real, integer, irrational, irrational.
what is a sequence?A sequence is a collection of numerals (referred to as "terms"), for example, 2, 5, 8. A specific pattern that some sequences follow may be leveraged to make them infinitely long. To continue the series, add 3 and use the example of 2,5,8. Formulas that show where to look for words inside a sequence can be found there. Informally, a sequence in mathematics is a collection of items that are in some order (or events). It has components, much like a set (also called elements or terms). The length of the sequence refers to the total, potentially unlimited number of ordered items. arranging two or more objects in a logical sequence. Chronological.
here,
the given sequence is (0.67,3-√4,√8,0.14)
as we can see that in the sequence we have a rational number, integer, real number and a irrational so,
the answer is rational, real, integer, irrational, irrational.
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Question is attached. Show workings. Question 11
What is the nature of root of equation 2x^2 5x 7 0?
The nature of the roots of the equation x^2 - 5x + 7 = 0 : no real roots
Consider given quadratic equation: x^2 - 5x + 7 = 0
Comparing given quadratic equation with the standard form of quadratic equation i.e., ax^2 + bx + c = 0
a = 1, b = -5, c = 7
First we find the discriminant:
D = b^2 - 4ac
D = (-5)^2 - 4(1)(7)
D = 25 - 4(7)
D = 25 - 28
D = -3
Since, the discriminant D < 0
Therefore, there are no real roots of this equation.
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Based on these data, how many students received a score higher than 95?
A. At least 15
B. More than 25
C. 6 or fewer
D. Exactly 10
Bar charts display categorical variables, whereas histograms display numerical or quantitative data.
What is mean by histogram?The frequency distribution of a few data points for one variable is represented graphically by a histogram. Heterogeneous "bins" or "range groups" are frequently used in histograms in order to categorize data and count the number of data points that are part of each bin.
Among graphing tools, the histogram is widely used. It is utilized to encapsulate discrete or continuous data that is measured on an interval scale. It is frequently employed as a convenient way to highlight the key characteristics of the data distribution.
Histograms show numerical or quantitative data, whereas bar charts show categorical factors. The numerical data in a histogram will typically be continuous in most cases (having infinite values). It would be ridiculous to attempt to plot an axis that included every potential value for a continuous variable.
Therefore, the correct answer is option C. 6 or fewer.
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is -0.0022 is smaller than -0.022
Answer: No, -0.0022 is not less that -0.022
Step-by-step explanation:
1. We know that the bigger the negative number the lesser it is ( 0.022 is a bigger number than 0.0022) but since it's a negative number it's less in value.
please help: solve for x
Step-by-step explanation:
since the height from M (line MB) to the baseline is splitting the baseline into 2 identical halves, the triangle must be an isoceles triangle (both legs are identical long).
and therefore,
5x - 5 = 3x + 1
2x - 5 = 1
2x = 6
x = 6/2 = 3
Adam and Kim are paid an hourly rate at their jobs. Adam earns $186 for 8 hours of work, before taxes. The table below shows the amount
Kim earns, before taxes.
Who earns the most money per hour and by how much?
A.Adam earns $5.25 more per hour than Kim.
B.Kim earns $5.25 more per hour than Adam.
C.Adam earns $42.00 more per hour than Kim.
D.Kim earns $42.00 more per hour than Adam.
H 3,7,12
$ 54,125,216
Therefore the correct answer is A. Adam earns $5.25 more per hour than Kim.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
Adam earns $186 for 8 hours of work, so his hourly rate is $186/8 = $23.25 per hour
Kim earns $54 for 3 hours of work, so her hourly rate is $54/3 = $18.00 per hour
Kim earns $125 for 7 hours of work, so her hourly rate is $125/7 = $17.86 per hour
Kim earns $216 for 12 hours of work, so her hourly rate is $216/12 = $18.00 per hour
Adam earns $23.25 per hour and Kim earns $18.00 per hour on average.
Adam earns $23.25 - $18.00 = $5.25 more per hour than Kim.
Therefore the correct answer is A. Adam earns $5.25 more per hour than Kim.
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Helllllp please ????
The linear relation y = |2x - 5| is a function which has it's domain along (-∞, ∞) and it's range at [0, ∞)
What is a Linear RelationA linear relation is a relationship between two variables (x and y) in which the points, when plotted on a graph, form a straight line. This means that for a given change in the independent variable (x), there will be a corresponding, predictable change in the dependent variable (y).
In this given relation, we can graph the absolute function and determine it's range and domain.
Using a graphing calculator;
y = |2x - 5|
The x-intercept of the relation is 2.5 and it's y-intercept is 5
The domain of the relation is (-∞, ∞)
The range of the relation is [0, ∞)
The relation y = |2x 5| is a function which is known as an absolute function
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How do you solve 7x 5y?
We can solve the given linear equation 7x = 5y by plotting the graph of x and y on the coordinate plane.
An equation is known to be a linear equation in two variables if it is written in the form of ax + by + c = 0, where a, b and c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
First, solve for x
7x = 5y
Divide both sides by 7
7/7 x = 5/7 y
Dividing by 7 undergoes the multiplication by 7
x = 5/7 y
Similarly, solve for y
7x = 5y
Divide both sides by 5
7/5 x = 5/5 y
Dividing by 5 undergoes the multiplication by 5
y = 7/5 x
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“what is the slope of the line that passes through the points (5,8) and (11,5)? write the answer in simplest form “ please help with that
As per the given points in the question, the slope in the simplest form will be equal to 0
What is the slope of the line?Using two of the points on the line you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise and the horizontal change is called the run. The slope equals the rise divided by the run.
Here the given points are (−5,8) and (−11,8)
Hence the required slope of the line is
= 8 - 8
11 - [ - 5 ]
= 0
- 11 + 5
= 0
- 6
= 0
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Please answer this by 11/01/22. Thank you.
Answer: a) AE || BC b)AB=BC c)AE⊥ED &ED⊥CD
Step-by-step explanation:
a) The line segments that have the arrow sign on them mean that they are parallel, so AE || BC ( || = parallel to).
b) When two line segments have a dashed line on it, it shows that they are the same length, so AB is equal to BC.
c) when two segments intersect with a 90° angle, they are perpendicular, so AE⊥ED &ED⊥CD(⊥ = perpendicular to).
A park recreation manager wants to reshape a square sandbox. The new sandbox will have one side 4 feet longer and the adjacent side 5 feet longer than
sandbox will be 38 square feet greater than the area of the original sandbox.
5 ft
What are the dimensions in ft of the original sandbox
The dimensions of the original sandbox was 2 ft X 2 ft..
Let, The original has a length of Xft and a width of Xft
The area of original sandbox is X^2 ft^2
As per given statement,
The new sandbox would have a length of (X+4)ft and a width of (X+5)ft
So, the area of new sand box would be: (X+4)(X+5) ft^2
Given, the area of new sandbox will be 38 square feet greater than the area of the original sandbox.
so,
X^2+38 = (X+4)(X+5)
or, X^2+38 = X^2 + 9X + 20
Eliminating X^2 from both side
0r, 9X+ 20 = 38
0r, 9X = 18
0r, X = 18/9 = 2
So, we assumes that the original has a length of Xft and a width of Xft
then the dimensions of the original sandbox was 2 ft by 2 ft.
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A patient recently diagnosed with Alzheimer's disease takes a cognitive abilities test and scores a 45.
The mean on this test is 52 and the standard deviation is 5. What percent of patients have his score and
below?
We can use the Z-score formula to determine what percent of patients have a score equal to or lower than the patient's score of 45 on the cognitive abilities test.
What does math's % mean?
In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
The Z-score formula is:
Z = (X - M) / SD
Where:
X = Patient's score (45)
M = Mean score (52)
SD = Standard deviation (5)
Plugging in the given values:
Z = (45 - 52) / 5
Z = -7 / 5
Z = -1.4
This Z-score of -1.4 corresponds to a percentage of approximately 9.1% of patients who have a score equal to or lower than the patient's score of 45 on the cognitive abilities test.
It is important to note that this percentage is approximate, as it's calculated based on the standard normal distribution table which provides approximate values, and it assumes the scores of the test are normally distributed, in case this assumption is not met the result may not be accurate.
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