Answer:
Follow the explanation below.
Step-by-step explanation:
7x = 48 - 8
7x = 40
x = 40/7
x = 5.714
What is the vertex of f(x) = 3Ix-2I +4?
Answer: (2,4)
Step-by-step explanation:
Vertex
|0-2| = 0
|-2| = 0
The graph is shifted 4 units up so therefore (2,4) is the vertex
First National Bank is offering 4.25% interest on an account. Susan makes an
initial deposit of $20,000. Calculate the interest camed over 20 years if the
bank...
a) Calculates the interest using simple interest (I -- Prt).
b) Calculates the interest using compound interest compounded annually.
c) Calculates the interest using compound interest compounded quarterly.
d) Calculates the interest using compound interest compounded monthly.
The simple interest earned is $17,000.
The interest earned with annual compounding is $25,978.13.
The interest earned with quarterly compounding is $26,583.59.
The interest earned with monthly compounding is $26,722.72.
The formula that can be used to determine simple interest is: principal x time x interest rate
$20,000 x 20 x 0.0425 = $17,000
The formula that can be used to determine the interest earned with compounding is: Future value - amount invested.
The formula that can be used to determine future value is:
FV = P (1 + r/m)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
Annual compounding = $20,000 x (1.0425)^20 = $45,978.13
Interest earned = $45,978.13 - $20,000 = $25,978.13
Quarterly compounding = $20,000 x (1 + 0.0425/4)^80 = $46,583.59
Interest earned = $46,583.59 - $20,000 = $26,583.59
Monthly compounding = $20,000 x (1 + 0.0425 /12) ^240 = $46,722.72
Interest earned = $46,722.72 - $20,000 = $26,722.72
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PLEASE HELP !!!
x^2-34=16x
Answer:
Complete the SquareSolve for x over the real numbers:(x - 8)^2 - 100 = 0
Add 100 to both sides:(x - 8)^2 = 100
Take the square root of both sides:x - 8 = 10 or x - 8 = -10
Add 8 to both sides:x = 18 or x - 8 = -10
Add 8 to both sides:Answer: x = 18 or x = -2
Step-by-step explanation: DONT TRUST THIS THOUGH
Name the triangle as described
Answer:
scalene triangle
Step-by-step explanation:
How many solutions does the system of equation have?
2x + 3y = 9 and y = 2/3x - 2
A.
One solution
B.
Two solutions
C.
Infinitely many solutions
D.
No solutions
Answer:
A. One solution
Step-by-step explanation:
y = 2/3x - 2 has slope of 2/3
2x + 3y = 9
3y = -2x + 9
y = (-2/3)x + 3 has slope of -2/3
lines with different slopes have only ONE intersection
Select the equation of the quadratic function that models the relationship between time and height for an object thrown into the air, as presented in the parabola above.
Question 5 options:
A) ƒ(x) = –(x + 2)2 + 7
B) ƒ(x) = –(x – 2)2 + 7
C) ƒ(x) = (x – 2)2 + 7
D) ƒ(x) = (x + 2)2 + 7
Answer:
B
Step-by-step explanation:
lmk if you want an explanation
Which type of data would be best displayed in a box plot?
the number of inches of snow received each year by a ski resort
the portion of the drama clubs budget needed for each type of expense
the number of heads and tails that came up in 100 coin flips
the number of votes received by each of four candidates
Answer:
the portion of the drama clubs budget needed for each type of expense
Step-by-step explanation:
the number of inches of snow received each year by a ski resort
- you should use line graph to see data changing in consistent time period
the portion of the drama clubs budget needed for each type of expense
- you can use box plot to see the box plot to show median and q1 q3 of the expenses.
the number of heads and tails that came up in 100 coin flips
- you should use pie chart to see the percentages in entire population
the number of votes received by each of four candidates
- you should use bar graph to compare 4 comparable object.
The portion of the drama clubs budget needed for each type of expense
What is a data set?A data set is a set of information. A data set corresponds to one or more database tables in the case of tabular data, where each column of a table represents a specific variable and each row represents a specific record of the data set in question.
a) The number of inches of snow received each year by a ski resort
you should use a line graph to see data changing in the consistent time period
b) The portion of the drama club budget needed for each type of expense
you can use the box plot to see the box plot to show the median and q1 q3 of the expenses.
c) The number of heads and tails that came up in 100 coin flips
you should use a pie chart to see the percentages in the entire population
d) The number of votes received by each of the four candidates
you should use a bar graph to compare 4 comparable objects.
Therefore a portion of the drama club's budget is needed for each type of expense.
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Simplify. x+y -x²-y²/x-y
The hypotenuse is NOT located across from the right angle
True or false
The statement, The hypotenuse is NOT located across from the right angle is false.
What is a right angled triangle?
A right-angled triangle is a type of triangle that has an angle that measures 90 degrees. The triangle has three sides. The hypotenuse is the longest side of a right-angled triangle. Other sides are the base and the length. The sum of sides in a a right-angled triangle is 180 degrees.
Please find attached an image of a right-angled triangle. To learn more about a triangle, please check: https://brainly.com/question/9329354
6/24 divided by 12/16 show work please
The value when 6/24 is divided by 12/16 is equal to 1/3.
To divide the fraction 6/24 by 12/16, we can simplify the problem by multiplying the first fraction by the reciprocal of the second fraction.
Reciprocal of 12/16 is 16/12.
So, the division can be written as:
6/24 ÷ 12/16 = 6/24 × 16/12
6/24 = (6 ÷ 6) / (24 ÷ 6) = 1/4
16/12 = (16 ÷ 4) / (12 ÷ 4) = 4/3
Now, we have:
1/4 × 4/3
To multiply fractions, we multiply the numerators together and the denominators together:
(1 × 4) / (4 × 3)
= 4/12
The fraction 4/12 by dividing both the numerator and denominator by their greatest common divisor, which is 4:
(4 ÷ 4) / (12 ÷ 4)
= 1/3
Therefore, 6/24 divided by 12/16 is equal to 1/3.
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I NEED HELP WITH PRECALC PLEASE
Answer: First question: D, Second question: A
Step-by-step explanation:
Note: I'm not so good at expanding so I'll just solve it :)
So this leaves either C or D
Apply the sum rule:
8-70=-62
The only one that gives a negative sum is D
For the second picture, the one you have chosen is correct
a1 = 3 and r = -5 so:
an = 3/5 * (-5)^n
Plugging in 8 for n (the first choice) we get the given term: -234,375
Answer:
(d) 2 +(-5) +(-12) +... (a) a8Step-by-step explanation:
1.Putting n = 0 and n = 1 into the expression being summed will show you which series is correct.
2 -7n for n=0 is 2 -7·0 = 2
2 -7n for n=1 is 2 -7·1 = -5
The series of the last choice (d) is correct.
__
2.The given sequence is exponential with a first term of 3 and a common ratio if -5. Then the n-th term is ...
an = 3(-5)^(n -1)
We want to find n for an = -234,375.
-234375 = 3(-5)^(n-1)
-78125 = (-5)^(n-1)
For n to be a real number, we must have n even. In that case, the value of n is equivalent to the value that is the solution to ...
78125 = 5^(n -1)
Taking logs of both sides, we get ...
log(78125) = (n -1)·log(5)
log(78125)/log(5) = n -1 . . . . . . . . . . . . divide by log(5)
n = 1 +log(78125)/log(5) = 1 +7 = 8 . . . add 1 and evaluate
-234,375 is the 8th term of the sequence.
the 9-dight number that identifies the bank that a check came from is called
Answer:
im pretty sure its the routing number
Step-by-step explanation:
trust me
A. y = 2x
B. y = x ÷ 2
C. y = x – 1
D. y = x + 1
Answer:
D) y = x + 1
Step-by-step explanation:
D is the answer because the slope is 1 and the y-intercept is 1
An 80 ounce bottle of apple juice contains 32 ounces of water and 64 ounce bottle of orange juice has 48 ounces of water which juice has a greater percent of water?
Which expression is equivalent to 3(2t + 6) – 4t?
A. 8t
B. 20t
C. 2t +6
D. 2t +18
HELP PLS
Answer:
b part 20 t or i think c part 2t +6
Can someone please help me I will mark u brilliant
Answer for the first question: There are 13 pieces of pie left.
Step-by-step explanation: So there are 3 pieces of apple pie left, there are 4 pieces of cherry pie left, and there are 6 pieces of pumpkin pie left. 3 + 4 + 6 = 13.
3/8 = 3 pieces because each fraction in this one equals one piece. So the numerator is how many left.
1/2= 4 because you just divide 8 by 2.
3/4 = 2 because you can multiply the fraction by 2 and get 6/8. Then the numerator is how many that's left.
Therefore, there are 13 pieces of pie left.
1. First, let's have the pieces have the same denominator: 8!
3/8 is already fine
1/2 = 4/8
3/4 = 6/8
Now add up the numerators: 13 pieces were eaten.
Since there are 3 pies, there's 24 pieces total
24 - 13 = 11
11 pieces are left over
2. First, 3/4 x 6 = 4.5
1 1/2 x 5 = 7.5
4.5 + 7.5 = 12
-5 + 12 = 7
At 5:00 pm, it was 7 degrees.
Hope this helps!
1. There are 2 hiking trails in Watkins Park. The Spicebush Trail is 2.7 miles and the Loop Trail is 1.7 miles. If you hiked both trails, how many miles would you walk?
2. On your hike, you brought 1.7 pounds of almond trail mix and 1.4 pounds of cashew trail mix. How much trail mix do you have all together?
3. At the end of the hike you still had 2 pounds of trail mix left. How much trail mix did you at on the hike?
4. Solve these decimal addition and subtraction problems with your base-10 blocks or a number line:
5.3 + 7.4
2.45 + 3.95
2.5 – 1.3
4.12 – 2.80
1. Add 2.7 and 1.7 together to discover the total amount
2.7 + 1.7 = 4.4
You would walk 4.4 miles if you walked both trials.
2. Add the amounts of both trail mixes together
1.7 + 1.4 = 3.1
There were 3.1 pounds of trail mix brought on the hiking trip
3. Subtract answer from 2 by 2 and recieve the answer for this question
3.1 - 2 = 1.1
There were 1.1 pounds of trail mix eaten on this hiking trip
4. Answers:
12.7
6.40
1.2
1.32
find the maclaurin series of the given function f(x)=ln(1-x)
Answer:
[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
Step-by-step explanation:
1) the rule is:
[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]
2) according to the rule above:
[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]
finally,
[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
Rewrite the equation in slope-intercept form. Then identify the slope and the y-intercept.
x + 3y = 6
Equation:
Slope:
Y-intercept (written as an ordered pair):
Triangle ABC with vertices A(-3, 2), B(-1, 7), and C(6.1) is reflected over x-axis. Give the coordinates of the image.
A’
В’
C’
Answer:
how do I give the coordinates of the image
Step-by-step explanation:
If Janet earned e extra credit points. Mona earned 32 fewer extra credit points than Janet.
What is the expression that shows how many extra credit points Mona earned?
How many terms are in the expression?
In 2014, the Centers for Disease Control and Prevention reported the average human life span in the United States as
77.2 years for men and 85 years for women. Calculate how much longer, on average, U.S. women live than men in
seconds.
Express your answer in seconds.
Answer:
7.8
Step-by-step explanation:
subtract 85 - 77.2
I need help!! 6-10!!!!!!!!!!!!!!!!
please help before it's Monday
Answer:
Mateo's data shows a negative association
Step-by-step explanation:
Okay, so the y-axis is his amount of typos. The x-axis is the number of pages.
We can clearly see the typos found number increasing through the number of pages. Which is bad :/
Hope this helps :)
The designers of a new website expect the number of visitors to the site to double each month. There were 600 visits to the site the first month. Which function can be used to predict the number of visitors during month m
The exponential function used to predict the number of visitors during month m is [tex]y = 600(2)^m[/tex]
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the factor.
Let y represent the number of visitors during month m.
There were 600 visits to the site the first month and they double each month, hence:
a = 600, b = 2
The exponential function is given by:
[tex]y = 600(2)^m[/tex]
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x+3<9 answer pls 2x+5<12
Answer:
first one: x<9 second: x<3.5 or 7/2
Step-by-step explanation:
first: substract 3 from both sides
second: substract 5 and then divide by 2
Determine the number of solutions you will have for the system 4y + x = 16 and y = 4 – x.
Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:
D: one solutionThe equations are:
[tex]4y + x = 16 \rightarrow x = 16 - 4y[/tex]
[tex]y = 4 - x \rightarrow x = 4 - y[/tex]
Equaling both equations for x, we have that:
[tex]16 - 4y = 4 - y[/tex]
[tex]3y = 12[/tex]
[tex]y = \frac{12}{3}[/tex]
[tex]y = 4[/tex]
[tex]x = 4 - y = 4 - y = 0[/tex]
Hence, the system has one solution, which is (0,4), and option d is correct.
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Compute the area of a circle with a diameter of 18 inches.
Answer:
254.34
Step-by-step explanation:
Diameter: 2×radius
Radius:Diameter÷2
Area: pi×radius²
18/2=9
Radius=9
pi=3.14
3.14×9²=254.34
The area is 254.34
what is most likely to be represented by the number -40
Answer:
You tell me the question properly and i will edit this and put answer
Step-by-step explanation:
Until then bye
Answer:
Read Explanation Below
Step-by-step explanation:
So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)
1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.
The population in a major metropolitan city is given by the formula
P(t)=5.leº.0111
where t is measured in years since 2000 and P(t) is measured in millions.
What does the model predict the population is in the year 2015?
Interpret your result with a complete sentence.
Answer:
The rat population in a major metropolitan city is given by the formula n(t)=67e^0.035t where t is measured in years since 1994 and n(t)is measured in millions.