Answer:0,1,2.-1.-2-3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve for x so -4 < x \(\leq\) 6 -4 so -4 < x \(\leq\) 2
Then to draw on the number line place an open circle on -4 and a closed circle on 2, then draw a dark line between -4 and 2 since the x you are looking for is between -4 and 2
Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually. If the balance in the account four years after the last deposit is to be $31 300.00, how many deposits are needed? (This question asks for 'n')
We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.
To solve this problem, we can use the formula for the future value of an annuity:
\(FV = P * ((1 + r)^n - 1) / r\)
Where:
FV is the future value of the annuity
P is the periodic payment or deposit amount
r is the interest rate per period
n is the number of periods
In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).
We can rearrange the formula and solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Substituting the given values:
n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)
Using a calculator or software, we find that n ≈ 9.989.
Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.
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8. The table is for a linear relation. Unfortunately, one error was made in copying the table. Find the error and copy the table with the correction.
Answer:
The error is at (-4, 0) where 0 should be changed to 1
Step-by-step explanation:
The error was made at (-4, 0). The point should be (-4, 1) instead, because the y values should be increasing by 3 each time.
please help thank you
Answer:
B
Step-by-step explanation:
A=4 so its wrong cause the original one is 10-12=-2
what is 5 7/20 written as a decamal
Answer:
5 7/20 as a decimal is 5.35
Hope that helps. x
Answer:
Step-by-step explanation:
If your question has a big number 5 and a fraction 7/20, the 5 is going to be in the left side of the decimal, like 5.something ... the 7/20 is going to be the part on the right. If you're allowed to use a calculator just divide 7÷20 and that part goes on the right of the decimal. If you're not allowed to use a calculator then change 7/20 into something/100 ... 7/20× 5/5 gives you 35/100. That is the decimal part. It is written .35 So all together you get 5 7/20 is 5.35
10. There are sees in Mt. Pisher's PE class. There are so se gradies and 25 graders in the case
What is the rate of se graders to the graders in Mechers class
Plzzz help I’m taking g a test
Answer:
i dont under stand sorry i cant help sorry
please help me!! I know the answer to the question but I don't know how to get it.
Answer:
S = 3770.25 in^2
Step-by-step explanation:
20/15 = 4/3
5027/ 4/3 = 3770.25
Bryan's lemon cookie recipe calls for 1 1/3 cups of sugar. How much sugar would Bryan use to make 3 1/2 batches of cookies?
Answer:
4 2/3 cups of sugar
Step-by-step explanation:
1 1/3 x 3 1/2 = 4 2/3
use the ratio test to determine whether the series is convergent or divergent. [infinity] n 7n n = 1 identify an.
To determine whether the series ∑(n=1 to infinity) 7n/n is convergent or divergent, we can apply the ratio test. The ratio test helps us determine the convergence or divergence of a series by examining the limit of the ratio of consecutive terms.
In this case, let's calculate the ratio of consecutive terms using the formula for the ratio test:
lim(n→∞) |(7(n+1)/(n+1))/((7n/n)|
Simplifying the expression, we get:
lim(n→∞) |7(n+1)/n|
As n approaches infinity, the limit evaluates to:
lim(n→∞) |7(n+1)/n| = 7
Since the limit is a finite positive value (7), which is less than 1, the ratio test tells us that the series is convergent.
However, you mentioned identifying an (term) in the series, and it seems there may be an incomplete part of the question. Please provide additional information or clarification about identifying an term in the series so that I can provide a more specific answer.
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{172-[125+(30÷2)×]}+5(8+3)
Answer:
is -15x+102 I belive. hope I helped!!! :D
I need help fast I’m trying to get all my work in for school today
Answer:
\(b+3+60\) → \(No\)
\(-30-24z\) → \(No\)
\(27n+66p\) → \(Yes\)
\(36-9j+3k\) → \(Yes\)
\(---------\)
hope it helps...
have a great day!!
The price of a toy usually costing £50 is increased to £65
Work out the percentage increase.
Answer:
30%
Step-by-step explanation:
£50 -- 100%
£65 -- ?
Do cross multiply:
(60 X 100) divided by 50
= 130%
130% - 100% = 30%
a paper bag holds 8 red crayons, 4 blue crayons, 2 yellow crayons, and 6 green crayons. if you take one crayon from the bag without looking, what is the probability of drawing a red crayon?
The probability of drawing a red crayon from the bag is 2/5 or 40%.
The probability of drawing a red crayon from the bag can be calculated by dividing the number of red crayons by the total number of crayons in the bag.
In this case, the bag contains a total of 8 red crayons, 4 blue crayons, 2 yellow crayons, and 6 green crayons.
So, the total number of crayons in the bag is 8 + 4 + 2 + 6 = 20.
The probability of drawing a red crayon can be calculated as follows:
Number of red crayons / Total number of crayons = 8 / 20
Simplifying this fraction gives us:
Probability of drawing a red crayon = 2 / 5
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Which of these shapes have an area
Answer:
Shape 2 and 3
Step-by-step explanation:
shape 1 is not enclosed so it cannot have area
[50 pts] An even number, n, times the next consecutive number, n + 2, is equal to 168. Find the original number.
We are given:
An even number 'n', multiplied by the next consecutive even number is 168
Solving for n:
From the given statement, we can say that:
n(n+2) = 168 [n multiplied by the next even number 'n+2']
n² + 2n = 168
n² + 2n - 168 = 0 [subtracting 168 from both sides]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 [factoring out common terms]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
The first cup was $4. 25 each refill is $2. 25 and a bagel is $3. 15 and got two refills and $0. 50 discount how much was spent
The total amount spent was $11.40.
To find out how much was spent, we need to add up the cost of the first cup, the cost of the refills, and the cost of the bagel, and then subtract the discount. Here's how to do it step-by-step:
1. Start with the cost of the first cup: $4.25
2. Add the cost of the refills: $2.25 + $2.25 = $4.50
3. Add the cost of the bagel: $3.15
4. Add up the total cost so far: $4.25 + $4.50 + $3.15 = $11.90
5. Subtract the discount: $11.90 - $0.50 = $11.40
So the total amount spent was $11.40.
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you have two cylindrical tanks. The tank with the greater volume is 1.20 times the height of the smaller tank. It takes 218 gallons of water to fill the larger tank and 150 gallons to fill the other. What is the ratio of the radius of the larger tank to the ratio of the smaller tank?
The ratio of the radius of the larger tank to the radius of the smaller tank is approximately 1.10.
Let's assume the radius of the smaller tank is 'r'. Since the larger tank's volume is 1.20 times its height, and the volume of a cylinder is calculated as πr²h, we can set up the following equation:
1.20πr²h = 218
Similarly, for the smaller tank:
πr²h = 150
Dividing the first equation by the second equation, we get:
(1.20πr²h) / (πr²h) = 218/150
1.20 = 218/150
To find the ratio of the radii, we can take the square root of the above ratio, as the ratio of the radii is proportional to the square root of the volume ratio. Taking the square root of both sides, we have:
√1.20 = √(218/150)
√1.20 ≈ 1.10
Therefore, the ratio of the radius of the larger tank to the radius of the smaller tank is approximately 1.10.
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Find the possible coordinates of PI’m struggling to do the second part of this question and would like some assistance please
we have the equation of curve C
\(y=x^3-11x+1\)Part a
Find out the gradient, where x=3
To find the gradient, take the derivative of the function with respect to x, then substitute the x-coordinate of the point of interest for the x values in the derivative
so
the first derivative is equal to
\(y^{\prime}=3x^2-11\)Evaluate the first derivative for x=3
\(\begin{gathered} y^{\prime}=3(3^2)-11 \\ y^{\prime}=16 \end{gathered}\)the gradient is equal to 16Part b
we know that the gradient is equal to 1 at point P
so
equate the first derivative to 1
\(\begin{gathered} y^{\prime}=3x^2-11 \\ 3x^2-11=1 \\ 3x^2=12 \\ x^2=4 \\ x=\pm2 \end{gathered}\)Find out the possible y-coordinate of point P
For x=2
substitute in the given equation of C
\(\begin{gathered} y=2^3-11(2)+1 \\ y=8-22+1 \\ y=-13 \end{gathered}\)the first possible coordinate of P is (2,-13)For x=-2
\(\begin{gathered} y=-2^3-11(-2)+1 \\ y=-8+22+1 \\ y=15 \end{gathered}\)the second possible coordinate of P is (-2,13)2. Which function has the greatest maximum y-value?
f(x)
g(x)
h(x)
All three functions have the same maximum y-value.
[Spoiler Alert its not h(x)]
Brainliest it you can explain why!
Answer:
A: Function f.
Step-by-step explanation:
Let's find the maximum y-value of each function.
Function f is given by:
\(f(x)=3\cos(2x)+4\)
Remember that the value of cosine is always between -1 and 1. In other words:
\(-1\leq \cos(x)\leq 1\)
Then assuming the greatest value for cosine, we can substitute it for one:
\(f(x)_{\text{max}}=3(1)+4=7\)
Function g is given by the graph.
Looking at the graph, we can see that the maximum y-value of g is 3.
Finally, function h is given by the table.
Looking at the table, the maximum y-value of h is -2.
Therefore, function f has the greatest maximum y-value.
HELP PLEASE WILL MARK Brainliest. 20 POINTS!!
Answer:
Step-by-step explanation:
9 square + 4 square = c Square
81 + 16 = c Square
98 = c square
98 Square root = c
The answer is Acan you choose me brainliest?
A small pebble is stuck in Jim's bike tire. The wheel has a radius of 34 cm. Determine the equation of the function that expresses the height of the pebble from the ground in terms of the distance that the bike travels from the point where the pebble got stuck in the tire. How high off the ground will the pebble be after the tire has rolled 150 cm?
Answer:
distance = 68 pie x
Step-by-step explanation:
Hope this helps
Multiply.
2 1/4 x 5
Answer with a mixed number in simplest form.
Answer: 11 1/4
Step-by-step explanation:
To multiply fractions, you must use the improper form so...
2 1/4 x 5 =
9/4 x 5 =
45/4 =
11 1/4
Hope this helps!
is y=4x-5 proportional or no proportional
Answer:
non proportional
Step-by-step explanation:
What is the length of the hypotenuse each leg of a 45 45 90 triangle measures units?
The measures of triangle exists 45 45 90 then the length of the hypotenuse is 6√2 units.
What is the length of each leg of a 45 45 90 triangle?Due to the fact that the triangle's legs are always the same length, d = 8. Always on the other side of the right angle is the hypotenuse. The hypotenuse of this triangle, represented by the letter e, is at its base. You must multiply the leg of a 45-45-90 triangle by the square root of two to determine the hypotenuse.
The hypotenuse of a 45°, 45°, and 90° triangle measures about two times the length of a leg.
In the right triangle ABC, AB is equal to AC
AB = AC = 6 units
BC is the hypotenuse
Applying the Pythagorean Theorem
BC² = AB² + AC²
substitute the values in the above equation, we get
BC² = 6² + 6²
Simplifying the above equation, we get
BC² = 72
BC = √72
BC = 6 √2 units
Therefore, the length of the hypotenuse is 6√2 units.
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Janet bought some markers for $3 each, and a notebook for $5. Janet did not spend more than $17. Which inequality can be used to find y, the number of markers that Janet could have bought?
Answer:
3y+5≤17
Step-by-step explanation:
Well we know she brought 1 note book and each note book is $5, its +5
Now we know she brought Y markers and each marker cost $3 so its 3Y
Now we know the price is no more than 17 which means she could’ve spent 17 or less tha, no more then 17 so less than or equal to sign ≤17
Now combine them
3y+5≤17
Thats the equation
If you want to find Y, solve it like an equation
What is the slope of the line that passes through the ordered pairs (-5,-1) and (-5, -7)
Answer:
undefined
Step-by-step explanation:
The equation for slope is:
\(\frac{y_{2} - y_{1} }{x_{2} - x_{1}} \)
We can plug in the given coordinates into the equation:
\(\frac{-7-(-1)}{-5-(-5)} =\frac{-7+1}{-5+5} =\frac{-6}{0} \)
The slope is undefined
Question
Gerard worked the same number of hours, x, on Monday, Tuesday, and Wednesday, but on Thursday, he worked 5 hours less than the previous day. The total number of hours Gerard worked can be found using the expression, 4x−5 .
What does the "4" represent in the expression, 4x−5 ?
--------------------------------------------------------------------------------
the number of hours Gerard worked on Thursday
the number of hours Gerard worked each day
the total number of hours Gerard worked
the number of days Gerard worked
The number "4" in the expression 4x - 5 represent the number of days Gerard worked.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.
Gerard worked the same number of hours, x, on Monday, Tuesday, and Wednesday, but on Thursday, he worked 5 hours less than the previous day.
The total number of hours Gerard worked can be found using the expression, 4x − 5
Hence:
The number "4" in the expression 4x - 5 represent the number of days Gerard worked which is Monday, Tuesday, and Wednesday and Thursday
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which expression is equivalent to f(x)=3x+2
what number exceeds 75 by 19
Answer:
94
Step-by-step explanation:
exceed means we add so,
75+19=94
Answer:
94
Step-by-step explanation:
If equation is x + y = 3 and x - y = 7 then the value of x will be?
A) 0
B) -3
C)-2
D)2
Its on the topic Simultaneous equations
Answer:
x = 5
Step-by-step explanation:
Add the equations
x + y = 3
x - y = 7
––––––––
2x = 10
Divide both sides by2
x = 5
Note: for the equations in the question,
none of the given answers are correct.
Drag each equation to the correct location on the table.
Which equations have one solution and which have infinitely many solutions?
Answer: The 1st one is 1 soultion the 2nd one is 1 soultion the 3rd one is multiple soultion and the last one is multiple solution
Step-by-step explanation: hope I am right?
1=one 2=multiple 3=one 4=multiple