Answer:
With?
Step-by-step explanation:
The beginning balance of the check register was $492.88. During the month, deposits were made for $210 and $499.88. Checks were
written for $18.25, $19.82, and $309.82. What is the ending balance of the check register?
Note: Round your answer to 2 decimal places.
Answer:
$840.77
Step-by-step explanation:
whoever gets it correct - i will mark their answer as a brainliest!
Answer:
9a - 8a
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
3a - 2a = 1a or a
a * 4a = 4a
4a + 6a = 10a
Complete the table for the given rule.
Rule: y = 5x
100 Points! Geometry question. Photo attached. Find the area of the figure. Round to the nearest tenth if necessary. Please show as much work as possible. Thank you!
Answer:
626.71 cm^2
Step-by-step explanation:
Area of figure = area of half circle + Area of half circle + area of a rectangle
here, diameter=15 cm
radius = 15/2=7.5 cm
length=30cm
breadth=15cm
Now
Area of figure = 1/2*π*radius^2+ 1/2*π*radius^2+length*breadth
=1/2* 1/2*π*7.5^2+1/2* 1/2*π*7.5^2+30*15
=626.71 cm^2
HELP PLZ THIS IS DUE just write it on paper or in text JUST HELP ME 100
Answer:
for the first pic: 30 students
second: 4(1/5 + 2/3), 3 7/15
third: 2 3/5
Step-by-step explanation:
Please show the synthetic division that led to those factors. For example #1a:
Given the function:
\(f(x)=3x^4-18x^3-21x^2+144x-108\)You can find the x-intercepts by following these steps:
1. Make the function equal to zero:
\(3x^4-18x^3-21x^2+144x-108=0\)2. Factor the equation:
- Notice that all the terms have 3 in common. Therefore, you can factor it out:
\(3(x^4-6x^3-7x^2+48x-36)=0\)- Rewrite these terms as the Difference between two terms:
\(\begin{gathered} -6x^3=-x^3-5x^3 \\ \\ -7x^2=5x^2-12x^2 \\ \\ 48x=12x+36x \end{gathered}\)Then:
\(3(x^4-x^3-5x^3+5x^2-12x^2+12x+36x-36)=0\)- Make groups of two terms using parentheses:
\(3\lbrack(x^4-x^3)-(5x^3-5x^2)-(12x^2-12x)+(36x-36)\rbrack=0\)- Factor the Greatest Common Factor of each group out (the greatest factor the terms have in common):
\(3\lbrack x^3(x-1)-5x^2(x-1)-12x(x-1)+36(x-1)\rbrack=0\)- Factor this common factor out:
\(x-1\)Then:
\(3(x-1)(x^3-5x^2-12x+36)=0\)- Rewrite these terms as follows:
\(\begin{gathered} -5x^2=-2x-3x^2 \\ \\ -12x=6x-18x \end{gathered}\)Then:
\(3(x-1)(x^3-2x^2-3x^2+6x-18x+36)=0\)- Make groups of terms:
\(3(x-1)\lbrack(x^3-2x^2)-(3x^2-6x)-(18x-36)\rbrack=0\)- Factor the Greatest Common Factor of each group out:
\(3(x-1)\lbrack x^2(x-2)-3x(x-2)-18(x-2)\rbrack=0\)- Factor this factor out:
\(x-2\)Then:
\(3(x-1)(x-2)(x^2-3x-18)=0\)- Factor the Quadratic Expression by following two terms whose Sum is -3 and whose Product is -18. These are 3 and -6. Then:
\(3(x-1)(x-2)(x+3)(x-6)=0\)3. Divide both sides of the equation by 3:
\(\frac{3(x-1)(x-2)(x+3)(x-6)}{3}=\frac{0}{3}\)\((x-1)(x-2)(x+3)(x-6)=0\)4. Solving for "x", you get the following values:
\(\begin{gathered} x-1=0\Rightarrow x=1 \\ \\ x-2=0\Rightarrow x=2 \\ \\ x+3=0\Rightarrow x=-3 \\ \\ x-6=0\Rightarrow x=6 \end{gathered}\)Hence, knowing that you have to reject the negative values, the answer is:
\(\begin{gathered} x_1=1 \\ x_2=2 \\ x_3=6 \end{gathered}\)
A teacher wants to earn $1500 per year in supplemental income from a cash gift of $16,000. She puts $6,000 in a credit union that pays 7% annual interest. What rate must she earn on the remainder to achieve her goal
Answer:
6,000 * .07 = $420 per year
Therefore the remaining 10,000 must earn 1,080 per year
Total = Principal * (1+rate)^years OR
Total = 10,000 * 1 + rate
1,080 = 10,000*rate
1,080 / 10,000 = rate
rate = .108 OR rate = 10.8 % per year
Step-by-step explanation:
Need help and answer
The kind of evidence geologists use to make geological timelines of events in Earth's history is the fossil remains.
What is a geological timeline?A geological timeline shows a calendar of events in Earth's history.
To develop geological timelines, scientists understudy physical objects or structures on the Earth. These objects or structures enable them to prove a phenomenon of interest.
Generally, the best form of evidence for the study of the history of life on earth is fossils, as they give clues about geological events and past climates, including the ages of rocks.
Other kinds of evidence for developing geological timelines include the following:
Soil patternsRock kindsGlacier shapesLand structures.Thus, fossils provide the best kind of evidence for geological timelines.
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2
1
-1
-2
Determine the period.
2 4
6 8 10 12 14
Acellus
According to the information we can infer that the period of the graph is 8.
How to determine the period of the graph?To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.
In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.
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solve system of equations by using elimination method. (solve for (x,y,z) please explain the steps im so confused.
4x-y-2z=-8
-2x+4z=-4
x+2y=6
The solutions of the system of equations are:
x = -2, y = 4, z = -2
How to solve a system of equations by the elimination method?
Here we have the system of equations:
4x - y - 2z = -8
-2x + 4z = -4
x + 2y = 6
To eliminate one variable, we can add the second equation and two times the third equation, we will get:
(-2x + 4z) + 2*(x + 2y) = -4 + 2*6
Now we can simplify that so we get:
4z + 4y = -4 + 12
4*(z + y) = 8
z + y = 8/4 =2
z + y = 2
With that we can write z in terms of y.
z = 2 - y
And with the third equation we can write x in terms of y.
x = 6 - 2y
Replacing that in the first equation we get:
4*(6 - 2y) - y - 2*(2 - y) = -8
Now we can solve this for y.
24 - 8y - y +2y - 4 = -8
20 - 11y = -8
-7y = -28
y = 28/7 = 4
Now that we know the value of y we can find the values of x and z.
x = 6 - 2y = 6 - 2*4 = -2
z = 2 - y = 2 - 4 = -2
The solutions of the system of equations are:
x = -2, y = 4, z = -2
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Which number doesn't share the same pattern as
2,20, 4,8,300
What is the slope of the line that contains the points (8, 4) and (−4, 8)?
3
−3
one third
negative one third
Answer: negative one third
Answer:
-1/3
Explanation:
There's a formula that I'll use to find the slope - it's called the slope formula.
\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data:
\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)
Simplify:
\(\sf{m=-\dfrac{4}{12}}\)
\(\sf{m=-\dfrac{1}{3}}\)
Hence, the slope is negative one-third.
The circle below is centered at (2, 3) and has a radius of 4. What is its
equation?
A. (x-3)2 + (y - 2)2 = 16
O B. (x-3)2 + (y-2)2 = 4
C. (x - 2)2 + (y - 3)2 = 16
O D. (x-2)2 + (y-6)2 = 4
The equation of the circle is \((x - 2)^2 + (y - 3)^2 = 16\) . The option C is the correct option.
Given that the centre of the circle is (2,3) and circle has radius 4.
To find the equation of the circle, use the general equation of the circle as:
\((x-h)^2+(y-k)^2=r^2\)
Where (h, k) is the centre of the circle and r is the radius of the circle.
Since, h = 2, k = 3 and radius r = 4.
Therefore, the equation of the circle:
\((x-h)^2+(y-k)^2=r^2\\(x-2)^2+(y-3)^2=4^2\\(x-2)^2+(y-3)^2=16\)
The equation of the circle cantered at (2,3) and has a radius of 4 is \((x - 2)^2 + (y - 3)^2 = 16\) .
Therefore, The equation of the circle cantered at (2,3) and has a radius of 4 is \((x - 2)^2 + (y - 3)^2 = 16\) .
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A puppy and a kitten are 180 feet apart when they see each other. The puppy can run at a speed of 25 feet per second, while the kitten can run at a speed of 20 feet per second.
How long will it take the kitten to catch up to the puppy if the puppy runs away from the kitten, and the kitten simultaneously starts chasing the puppy?
Answer:
an infinitely long time
Step-by-step explanation:
You want to know the time it takes for a kitten running 20 ft/s to catch a puppy running 25 ft/s when they start 180 ft apart and the puppy runs away from the kitten.
NeverThe kitten runs slower than the puppy, so can never catch up to it.
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7 friends each run an equal part of a 5km relay race. What fraction of a kilometer does each friend complete?
Solution
For this case we can do this:
5/7 km
The reason is because we just need to divide the total distance (5km) by the 7 friends
Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
I need help with my geometry homework. I have a picture of the problem below.
Given data:
The given figure.
1)
The figure after rotation is,
2)
The volume of the above cylinder is,
\(\begin{gathered} V=\pi(3\text{ cm)}(6cm)^2 \\ =339.29cm^3 \end{gathered}\)Thus, the volume is 339.29 cubic-cm.
12 intr-un depozit sunt 968 tone de cereale: grau, orz și porumb. Cantitatea de orz este cu
19 tone mai mare decat jumătatea cantității de grau, iar porumb este cu 58 tone mai
mult decât orz Cáte tone de grâu, câte de orz și câte de porumb sunt în depozit? METODA GRAFICA PLS RAPID DAU COROANA LA PRIMUL CARE RSP
Answer:
explicatie pas cu pas:)
im really sorry but i really dont have any idea :-(
The ratio of boys to girls at JOMS is 3 to 4. If there are 45 boys how many girls are there
Answer:
60...................
I need to calculate the percentages of how much in increased/decreased
The percent change for each year is given as follows:
1845: 0%.1846: 12.30%.1847: -4.38%.1848: 10.69%.How to obtain the percent change?The percent change is obtained applying the proportions in the context of this problem.
The equation that defines the percent change is the change in the year divided by the initial population during the year.
Hence the percent change for each year during the period is given as follows:
1846: 15/122 = 12.30%.1847: -6/137 = -4.38%.1848: 14/131 = 10.69%.More can be learned about proportions at https://brainly.com/question/24372153
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Help its due today and I'm stuck on this question
Convert 75 gram per cm 3 to pounds per cubic inch (round to nearest tenth) [ 1 pound = 0.4536 kg] [ 1 cm = 0.3937 in] [ 1 kg = 1000g] (Show your work)
2.07 pounds/in 3
1.7 pounds/in 3
2.7 pounds/in 3
3.2 pounds/in 3
Answer:
It’s 2.07 pounds/in 3
Step-by-step explanation:
1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces
How is 1.03 written as a percent?
Answer:
103%
Step-by-step explanation:
It doesn't matter if the number is bigger than 100 in math my teacher told me.
Please say my answer was the most helpful. I want to have a brainliest.
The median weekly gross income for someone with a bachelor's degree was $2,117.00. If they continued their education and training and earned a master's degree, they had an increase in their median weekly income of about 46.1%. Determine the median weekly income for someone with a master's degree.
$2,856.12
$3,092.94
$3,153.76
$2,908.45
A master's degree earner's typical weekly salary is $3,092.94.
What is the meaning of percentage?
A percentage in mathematics is a number or ratio that may be stated as a fraction of 100.In determining a percentage of a number, we should first divide it by 100 before multiply the outcome by 100. As a result, the proportion refers to a part per 100. The word "percent" refers to a fraction of one hundred. The letter "%" stands for it.
Considering that the median gross weekly wage for a bachelor's degree holder was $2,117.00.
If any one had mater degree, then an increase in the median weekly income of about 46.1%.
To find the increment multiply $2,117.00 with increase rate:
The increment is $2,117.00 × 46.1% = 2,117.00 × 46.1/100= $975.937
The total the median weekly income is
$975.937 + $2,117.00
= $3,092.937
≈ $3,092.94
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There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?
The probability of getting at least 1 blue is 6/11
Let me know if you want an explanation :)
0.8
10
1.2
1.4
1.6
1.8
2.0
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.8
3.0
3.2
3.4
3.6
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
3.8
4.0
Standard Deviation Percentage Area
2.4
%
1.6
%
0.4
v%
1.4
3.6
v%
1 1/6 x 7/8 mixed number
The product of the expression 1 1/6 x 7/8 is 49/48
What are fractions?Fractions are defined as parts of a whole number.
The different types of fractions are;
Mixed fractionsSimple fractionsComplex fractionsProper fractionsImproper fractionsFrom the information given, we have the fractions;
1 1/6 x 7/8
convert the mixed fraction to improper fractions, we have;
7/6 × 7/8
Now, multiply both the numerators and denominators, we get;
49/48
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FAY BORROWED $900.00 AT 10% SIMPLE INTEREST FOR 7 YEARS USING THE FORMULA PRT- HOW MUCH INTEREST WAS SHE CHARGED?
Interest = $ 630
Analysis:
We can use the formula PRT
Interest: P*R*T
Interest= Principal*rate of interest in decimal*time
Let's apply this in the exercise.
\(\begin{gathered} I=900\ast0.1\ast7 \\ I=90\ast7=630\text{ } \end{gathered}\)Answer:
$630
Step-by-step explanation:
So first of all you want to start by finding what P, r and t would be.
P = Principal amount ($$)r = interest rate (%)t = time (years)Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)
Hope this helps! :)
Have a great day!
xA radioactive isotope is decaying at a rate of 20% every hour. Currently there are 15 grams of the substance.
Questions:
A. Write an equation that will represent the number of grams present after n hours
B. How much will be left after 24 hours (one day)? (Round to the nearest hundredth)
C. After how many hours will there be approximately one gram left?
B. After 24 hours, approximately 2.49 grams will be left.
C. After approximately 18.13 hours, there will be approximately one gram left.
A. To represent the number of grams present after n hours, we can use the equation:
N(n) = 15 × (1 - 0.2)^n
Where:
N(n) is the number of grams present after n hours,
15 is the initial amount of the substance in grams,
0.2 represents the decay rate of 20% per hour, and
^n represents the exponentiation operation.
B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:
N(24) = 15 × (1 - 0.2)^24
Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.
C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:
1 = 15 × (1 - 0.2)^n
To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:
log(0.8)(1/15) = n
Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.
Therefore, the answers are:
B. After 24 hours, approximately 2.49 grams will be left.
C. After approximately 18.13 hours, there will be approximately one gram left.
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eecia joins a gym. She pays a membership fee of $75.00 and $49.99 per month for the first 8 months. The gym increases its rates, and she must pay $59.99 per month for the next 4 months. Which numerical expression can be used to find the total cost of the first year of Keecia’s gym membership?
75 + (8) (49.99) + (4) (59.99)
75 + (8 + 4) (49.99 + 59.99)
75 minus (8) (49.99) + (4) (59.99)
75 + 49.99 + 59.99
Answer:
A.
75 + (8) (49.99) + (4) (59.99)
Step-by-step explanation:
Instructions: Rewrite the equation in proper Standard Form.
Equation: 1/4x-3/4y=-3
Standard Form:
Check