Step-by-step explanation:
Solve the eq f(x) =0x^2+5x+7x+35=0
x*x+5x+7x+5*7=0
x(x+5)+7(x+5)=0
(x+7)*(x+5)=0
x=-7 or x=-5
Now solve f(x) >0So the function is positive (>0) when
x<-7 and when x>-5
The Academy for Academic Excellence has just announced their winner for the most successful student in mathematics This student will receive a grant for their college education as well as national recognition for academic excellence in the field of mathematics. The grant will cover $12,177.17 of the cost of school per year for 5 years. If the initial amount is invested into an account over the five years, paying an annual interest rate of 5,5%, and you are to withdraw from this account until the remaining balance after the 5 years is zero dollars, determine the initial amount of the grant. Round your answer to the nearest dollar. a $52,000 c. $60,886 b. $55,200 d. $64,235 LES
Answer:
A. $52,000
Step-by-step explanation:
The initial amount of the grant is $52,000. The correct option is a.
What is annuity?An annuity is a financial product that provides an individual with a series of regular payments in exchange for an initial investment or a series of payments.
Annuities are commonly used to generate income in retirement, but they can also be used for other purposes, such as covering the future expenses of a dependent or providing a guaranteed income stream for a set period of time.
We can use the formula for the present value of an annuity to find the initial amount of the grant:
PV = A * ([tex](1 - (1 + r)^{(-n)[/tex]) / r)
Where PV is the present value, A is the annual payment, r is the annual interest rate, and n is the number of periods.
Substituting the given values, we get:
PV = 12,177.17 x ((1 - [tex](1 + 0.055)^{(-5)[/tex]) / 0.055)
PV ≈ 51,765.57
Rounding to the nearest dollar, the initial amount of the grant is $52,000.
Therefore, the answer is option (a).
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SEPULUH RIBU RUPIAH
Answer:
RP 10.000
Step-by-step explanation:
What it true?
According to a survey, 10% of Americans are afraid to fly. Suppose 1100 Americans are sampled. a) What is the probability that 121 or more americans in the survey are afraid to fly
Answer:
The probability that 121 or more Americans in the survey are afraid to fly is 0.1335.
Step-by-step explanation:
Let X denote the number of Americans afraid to fly.
The proportion of Americans afraid to fly is, p = 0.10/
A random sample of n = 1100 Americans are selected.
The random variable X follows a Binomial distribution with parameters n = 1100 and p = 0.10.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
[tex]np=1100\times 0.10=110>10\\\\n(1-p)=1100\times (1-0.10)=990>10[/tex]
Thus, a Normal approximation to binomial can be applied.
So, [tex]X\sim N(np,\ np(1-p))[/tex]
Compute the probability that 121 or more Americans in the survey are afraid to fly as follows:
[tex]P(X\geq 121)=P(\frac{X-np}{\sqrt{np(1-p)}}>\frac{121-110}{\sqrt{99}})\\\\=P(Z>1.11)\\\\=1-P(Z<1.11)\\\\=1-0.86650\\\\=0.1335[/tex]
Thus, the probability that 121 or more Americans in the survey are afraid to fly is 0.1335.
Determine the ratio equivalent to cos Q.
=========================================================
Work Shown:
The triangles are similar, which means the corresponding angles are congruent. In this case, we can say angle K = angle Q. Note how K and Q are the second letters of JKL and PQR respectively. The order matters.
Because angle K = angle Q, we can use information from triangle JKL to get information about triangle PQR.
We can say the following:
cos(angle) = adjacent/hypotenuse
cos(K) = LK/JK
cos(K) = 5/13
cos(Q) = 5/13 ... plug in K = Q
I need help with this
each pumpkin costs $10.50
63/6 = 10.5 or $10.50 and $10.50 x 2 = $21
that's all I got sorry ~(>_<。)＼
Is assert qualitative or quantitative? Please answer
Answer:
Qualitive
Step-by-step explanation
‘this is because x is negative and graphed it is positive
-University of Indiana Professor
Julie bought a shirt for $35.00, a purse for $27.00 and a belt for $13.00. When the cashier rang up her total, she discovered everything was on sale for 30% off. What was Julie's total with the sale price?
Answer: 52.5
Step-by-step explanation:
35 dollars 30% off is $24.5, 27 dollars 30% off is $18.90, and 13 dollars 30% off is $9.10 so all together it equals 52.5.
Marti’s cat weights 12.37 pounds What is this weight written as a mixed number?
9514 1404 393
Answer:
12 37/100 pounds
Step-by-step explanation:
Twelve and thirty-seven hundredths is written as ...
12 37/100
A grocery bag contains x apples, each weighing One-third of a pound, and y pounds of grapes. The total weight of the grocery bag is less than 5 pounds. Which graph represents the possible numbers of apples and pounds of grapes that can be in the bag?
Answer:
The answer on edg is B. Points (0,5) and (15,0)
Step-by-step explanation:
The equation looks like this 1/3x + y < 5
Answer:
B. The second graph
Step-by-step explanation:
A number increased by 4 is no more than -18.
Answer:
n+4≤-18
This might be it
Pls answer 55-62 I will give brainlist
Are these right? I’m not too sure
Answer:
Yep they look right to me!
Answer:
Yea your doing good
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through (7,2) and (2,12)
Evaluate.
(0.03)2=
Need help plz
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[tex]2(0.03) = 2 \times \frac{3}{100} = \\ [/tex]
[tex] \frac{2 \times 3}{100} = \frac{6}{100} = 0.06 \\ [/tex]
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The value of the expression is 0.0009.
We have,
To explain the process of evaluating (0.03)², we need to understand the concept of exponentiation and how it applies to decimal numbers.
When we raise a number to the power of 2 (or square it), we are essentially multiplying the number by itself.
In this case, we are squaring the decimal number 0.03.
To calculate (0.03)², we multiply 0.03 by itself:
= 0.03 x 0.03
= 0.0009
In decimal form,
0.03 squared is equal to 0.0009.
This process follows the general rule of exponentiation, where raising a number to a power means multiplying the base number by itself the specified number of times.
In this case, we square 0.03 by multiplying it by itself once, resulting in 0.0009.
Thus,
The value of the expression is 0.0009.
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X is less than or equal to 3
x≤3?
correct me if I'm wrong
Answer:
Yes you are right!!!!!
if x equals 8 -(-2.25) and y equals 6-4.2-(-4.9) what is the value of x-y
Answer:
x = 10.25
y = 6.7
Step-by-step explanation:
X = 8 - (-2.25) = 10.25
Y = 6 - 4.2 - (-4.9) = 6.7
A line parallel to -6x + 2y = 8 would have a slope of _____.
Answer:
Slope of 3
Step-by-step explanation:
-6x + 2y = 8
Add 6x
2y = 6x + 8
divide by 2
y = 3x + 4
Slope = 3
Parallel lines have the same slope
how do i find the amount of solutions to an quadratic equation by looking at it for example "How many real solutions are there to the equation x2−7x+12=0?"
Help pls it’s due soon make sure to follow the steps I don’t get it
the pythagorean theorem
Hii student!
_________________________________________________________
[tex]\leadsto\parallel\boldsymbol{Answer.}\parallel\gets[/tex]
Option a
________________________________________________________
[tex]\leadsto\parallel\boldsymbol{Explanation.}\parallel\gets[/tex]
We can use the Pythagorean Theorem (below) to solve for x, the shorter leg of the right triangle.
The Pythagorean Theorem[tex]\bullet\,\,\,\boldsymbol{a^2+b^2=c^2.}\bullet[/tex]. in which a and b are the two legs of the right triangle, and c is the hypotenuse, the longest side of the right triangle. This side is opposite the right angle ([tex]90\textdegree[/tex]).
In this problem we're given
Hypotenuse = [tex]\sqrt{218}[/tex]Long Leg = [tex]\boldsymbol{13}[/tex].and we're asked to solve for x, the short leg.
So we stick in the values into the formula.
[tex]\boldsymbol{13^2+b^2=(\sqrt{218})^2}[/tex]
Simplify!
[tex]\boldsymbol{169+b^2=218}[/tex]
Simplify!
[tex]\boldsymbol{b^2=218-169}[/tex]
[tex]\boldsymbol{b^2=49}[/tex]
Next, take the square root of both sides
[tex]\boldsymbol{b=7}[/tex]
[tex]\boldsymbol{\therefore,\:the\:answer\:is\:option\:a}[/tex]
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]
[tex]\boldsymbol{-Greetings!-}[/tex]
________________________________________________________
Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three optio The amount of change is different for the percent increase and the percent decrease. The ratio of the percent increase is not the same as the percent decrease. O The ratio for the percent increase has a smaller denominator than the percent decrease. O The ratio for the percent increase has a different numerator than the percent decrease. The original amount for the percent increase is different from the original amount for the percent decrease.
Answer:
2. The ratio of the percent increase is not the same as the percent decrease.
3. The ratio for the percent increase has a smaller denominator than the percent decrease.
5. The original amount for the percent increase is different from the original amount for the percent decrease.
Step-by-step explanation:
Answer:
2. The ratio of the percent increase is not the same as the percent decrease.
3. The ratio for the percent increase has a smaller denominator than the percent decrease.
5. The original amount for the percent increase is different from the original amount for the percent decrease.
B,C,E
What is the interquartile range of the following data set?
4, 6, 10, 13, 18, 28, 34, 46, 50, 58
O A. 38
O B. 36
O C. 40
O D. 46
Answer:
Quartiles are special percentiles. The first quartile, Q1, is the same as the 25th percentile, and the third quartile, Q3, is the same as the 75th percentile. The median, M, is called both the second quartile and the 50th percentile.
Step-by-step explanation:
please mark me as the brainliest answer and please follow me.
Answer: 36
Step-by-step explanation:
Which of the following fractions is not
equivalent to a repeating decimal?
A 1 2/3
B 5 1/12
C 3 3/8
Answer:
C. 3 3/8
Step-by-step explanation:
A. 1.6666666666666666666666666
B. 5.08333333333333333333333333
C. 3.375
Consider the polygon GEOM with coordinate G(0,-2), E(-1,2), 0(-5,1),
M(-5, -6). If we rotate GEOM 90° clockwise about the origin, then reflect
over the y-axis, what are the coordinates of G"E"0"M"?
G'(2,0)
G''(-2,1)
O'(1,5)
O''(-1,5)
M'(-6,5)
M''(6,5)
sorry im a year late haha
Write an equation in slope-intercept form for each table below.
Show how you found the slope and Y-intercept
Answer:
i. y=2x
ii. y=x+6
iii. y=-2x-6
iiii. y=-4x+3
iiiii. y=4x-3
Step-by-step explanation:
You can find the slope of the line by putting y2-y1/x2-x1
All you have to do is choose 2 points. Y2 is the second number y and x2 is the second number x. Y1 is the first number y and X1 is the first number X. To find y-intercept you look on the table and see where X is 0 and Y is any number that is the y-int. For example 5 there is no X=0 on the table so you put it in the point slope formula which is y-y1=m(x-x1) where you use the points from the slope. You multiply m to x and m to x1 where you will end up with y-y1=mx+mx1 then you add the y1 to mx1 where you will get the y intercept
A circle with a 32 inch diameter has a central angle that intercepts an arc measuring approximately 75.36 centimeters. Which option describes how to determine this angles measure in radians?
A. Divide 75.36 by 16
B. Divide 75.36 by 32
C. Divide 16 by 75.36
D. Divide 32 by 75.36
Complete Question
A circle with a 32 inch diameter has a central angle that intercepts an arc measuring approximately 75.36 inches. Which option describes how to determine this angles measure in radians?
A. Divide 75.36 by 16
B. Divide 75.36 by 32
C. Divide 16 by 75.36
D. Divide 32 by 75.36
Answer:
A. Divide 75.36 by 16
Step-by-step explanation:
The formula for Arc length is given as:
S = r θ
Where S = arc length
r = radius
We are told that:
Diameter of a circle = 32 inches
Radius of a circle = Diameter/2
= 32/2 = 16
Arc Length = 75.36 centimeters
The formula for Central angle =
θ = Central angle
θ = S/r
= 75.36/16
Option A is correct
The correct answer is option A. which is Divide 75.36 by 16
What is a circle?
A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The formula for Arc length is given as:
S = r θ
Where S = arc length
r = radius
We are told that:
Diameter of a circle = 32 inches
The radius of a circle = Diameter/2
r = 32/2 = 16
Arc Length = 75.36 centimeters
The formula for Central angle =
θ = Central angle
θ = S/r
θ= 75.36/16
Therefore the correct answer is option A. which is Divide 75.36 by 16
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Great Free Practice Problems
(these problem is all "find the number" problems)
1. In a two-digit number, the tens digit is 5 less than the unit digit. The number itself is five more than three times the sum of its digits. What is the number?
2. The sum of digits of a two-digit number is 11. The reverse number is 9 greater than the original number. Find the reverse number.
3. The sum of the digits in a two-digit number is 14. If you reverse and double the original number, and then add the results to the original number, the sum is 222. Find the original number.
4. The unit digit of a two-digit number is four more than the then digit. If the number is doubled it will be q more than the reversed number. Find the number
5. In a three-digit number, the tens digit is the same as the hundreds digit. The ones digit of this number is equal to 1/3 of the sum of the other two digit. Find the number if the sum of all its digits is equal to 24
6. In a two-digit number, the units digit is six less than three times the tens digit. Four times the unit digit minus five times the tens digit equals 11. Find the digits.
Please answer all the problems ;)
Answer:
1) 38
2) 56
3) 86
4) 37
5) 6 i think
6) 93
Step-by-step explanation: sorry if any of these are wrong
Answer:
The answer is 38. Sorry if it's wrong.
Terrence and his family are enjoying a vacation in the wild west. One place they really want to visit is the Grand Canyon. The total distance they will drive is 400 miles. If they have already driven 280 miles, what percent have they driven?
Answer: 70 percent
Step-by-step explanation:
280 divided by 400 is 0.70, so 280 is 70 percent of 400.
What is the expression of 22x(4+3+1)
Answer:
176x
Step-by-step explanation:
Step 1. Add the numbers
22x(4+3+1)
22x(8)
Step 2. Multiply the numbers
22x times 8= 176x
Can someone help me
Answer: 3:8
Step-by-step explanation:
Answer:
it is 3:8
Step-by-step explanation:
they are raitos so if its 3 blue marbles to 8 red marbles it will be 3:8 if its opposite it will be 8:3 pretty simple but im here to help <3