Answer:
The ubite rate is 13
Step-by-step explanation:
A bank account earns a fixed rate of interest compounded quarterly (every 3 month)
Answer:
Here’s what I got.
Hope it helps.
10 points eBookReferencesCheck my workCheck My Work button is now enabled1Item 9 Consider the following observations of a series: Year 1 Year 2 Year 3 Year 4 100 120 160 170 a. Calculate the growth rates for Year 1–Year 2, Year 2–Year 3, and Year 3–Year 4. (Round your answers to 4 decimal places.) b. Calculate the average growth rate. (Enter your answer as a percentage, rounded to 2 decimal places, using intermediate calculations rounded to at least 4 decimal places.)
Answer:
[tex]Growth\ Rate = 0.2000[/tex] --- Year 1 to 2
[tex]Growth\ Rate = 0.3333[/tex] --- Year 2 to 3
[tex]Growth\ Rate = 0.0625[/tex] --- Year 3 to 4
[tex]Average\ Growth\ Rate = 19.86\%[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Year\ 1} & {100} & {Year\ 2} & {120} & {Year\ 3} & {160} & {Year\ 4} & {170} \ \end{array}[/tex]
Solving (a): Growth Rates between each year
For Year 1 to 2.
[tex]Growth\ Rate = \frac{Year\ 2 - Year\ 1}{Year\ 1}[/tex]
[tex]Growth\ Rate = \frac{120-100}{100}[/tex]
[tex]Growth\ Rate = \frac{20}{100}[/tex]
[tex]Growth\ Rate = 0.2000[/tex]
For Year 2 to 3.
[tex]Growth\ Rate = \frac{Year\ 3 - Year\ 2}{Year\ 2}[/tex]
[tex]Growth\ Rate = \frac{160-120}{120}[/tex]
[tex]Growth\ Rate = \frac{40}{120}[/tex]
[tex]Growth\ Rate = 0.3333[/tex]
For Year 3 to 4.
[tex]Growth\ Rate = \frac{Year\ 4 - Year\ 3}{Year\ 3}[/tex]
[tex]Growth\ Rate = \frac{170-160}{160}[/tex]
[tex]Growth\ Rate = \frac{10}{160}[/tex]
[tex]Growth\ Rate = 0.0625[/tex]
Solving (b): The average growth rate
This is calculated as by calculating the mean value of the growth rates in (a)
[tex]Average\ Growth\ Rate = \frac{1}{3}(0.2000 + 0.3333 + 0.0625)[/tex]
[tex]Average\ Growth\ Rate = \frac{1}{3}(0.5958)[/tex]
[tex]Average\ Growth\ Rate = \frac{1}{3}*0.5958[/tex]
[tex]Average\ Growth\ Rate = 0.1986[/tex]
Convert to percentage
[tex]Average\ Growth\ Rate = 0.1986 * 100\%[/tex]
[tex]Average\ Growth\ Rate = 19.86\%[/tex]
Evaluate the expression below, if a = 3, b = 4, c = 12, and d = 1
I need help. Is it possible to do this without graphing?
Answer:
[tex]x=2.3\text{ only }[/tex]
Step-by-step explanation:
We are given the second derivative:
[tex]g^\prime^\prime(x)=0.1x^5-0.29x^4-0.694x^3+1.9136x^2[/tex]
And we want to find the values for -3 < x < 4 in which the graph of g has a point of inflection where the concavity changes from concave up to down.
First, recall that inflection points occur whenever g''(x) = 0 or is undefined.
And that:
g is concave up for an interval if g''(x) > 0 for that interval. g is concave down for an interval if g''(x) < 0 for that interval.Graphing the function (please refer below for the graph), we can see that g''(x) has an inflection point at x = -2.6, 0, 2.3, and 3.2.
If g''(x) changes from concave up to concave down, the values before and after that inflection point must be positive and then negative.
We can see that g''(x) is only positive for the values before the inflection points at x = 0 and x = 2.3.
However, for values after the inflection points, only x = 2.3 becomes negative.
Therefore, since at x = 2.3, the graph changes from positive to negative, this is where the graph of g changes from concave up to concave down.
Notes:
For the point x = 0, the graph stayed positive both before and after x = 0.
Therefore, g does not have an inflection point at x = 0.
How do I write a polynomial when given the zeros
Answer:
Given the zeros of a polynomial, you can very easily write it -- first in its factored form and then in the standard form. Subtract the first zero from x and enclose it in parentheses. This is the first factor. For example if a polynomial has a zero that is -1, the corresponding factor is x - (-1) = x + 1.
Step-by-step explanation:
Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.
Answer:
The probability is 0.609
Step-by-step explanation:
Out of 46 times that the experiment was performed:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
We can find the relative frequency of each one of them as the quotient between the number of times that a particular chew was selected, and the total number of chews.
Then for the orange ones we have a relative frequency (that can be thought as the probability) of:
Po = 5/46
For apple we get:
Pa = 23/46
For Lime we get:
Pl = 18/46
We want to find the probability that the next chew Kylie removes from the bag will be a flavor other than lime (so this is equal to the probability of getting orange plus the probability of getting apple):
P = Po + Pa = 5/46 + 23/46 = 0.609
Answer:
0.61
Step-by-step explanation:
Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.
The experiment occured 46 times, a flavor other than lime was selected 5+23=28 times.
Probability the next chew will be a flavor other than lime:
\frac{\color{steelblue}{28}}{\color{indianred}{46}}=
46
28
=
\,\,0.608695...
0.608695...
\approx
≈
\,\,0.61
0.61
The density of ethyl acetate at 25 degrees is 0.902 g/ml. How many pounds would 133 ounces weigh
Answer:
[tex]8.3125[/tex]pounds
Step-by-step explanation:
We are given that
Density of ethyl acetate at 25 degrees =[tex]0.902g/ml[/tex]
We have to find the number of pounds in 133 ounces weigh.
To find the number of pounds in 133 ounces we will use unitary method
By using unitary method
We know that
1 ounce=0.0625 pounds
133 ounce=[tex]133\times 0.0625[/tex]pounds
133 ounce=[tex]8.3125[/tex]pounds
Hence,8.3125 pounds would 133 ounces weigh.
Rent it right rents compact cars for $38 per day plus $0.15 per mile. Lucia rented a car for 3 days and was charged $150. How many miles did she drive?
Answer:
240
Step-by-step explanation:
first 38 times 3 = 114
second 150-114= 36
third 36/0.15= 240
answer is 240
Simplify p^-8/7^-2q^-9
Answer:
[tex]\frac{7^2}{p^8 \cdot q^9}[/tex]
Step-by-step explanation:
[tex]\frac{p^{-8}}{7^{-2}} \cdot q^{-9} = \frac{\frac{1}{p^8}}{\frac{1}{7^2}} \cdot \frac{1}{q^9} = \frac{7^2}{p^8 \cdot q^9}[/tex] by the definition of negative exponents: [tex]a^{-b} = \frac{1}{a^b}[/tex] for all [tex]a,b[/tex] so long as [tex]a\ne 0[/tex].
The value of the exponential equation is A = 7²q⁹ / p⁸
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = p⁻⁸ / 7⁻² ( q ) ⁻⁹ be equation (1)
On simplifying the equation , we get
A = 7² ( q ) ⁹ / p⁸
Therefore , the value of A is 7²q⁹ / p⁸
Hence , the exponential equation is A = 7²q⁹ / p⁸
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Choose the graph which represents the solution to the inequality:
3x + 8 ≥ 11
Answer:
x>1
Step-by-step explanation:
jayfeather friend me
The price of an ice cream cone is $3.25, but it costs $3.51 with tax. What is the sales tax rate?
Answer: 8%
Step-by-step explanation:
Hope it helps. If it does mark me brainliest plz
Predict whether the product is greater than, less than, or equal to 2/3
Answer:
Greater than.
1 1/27 or 28/27.
Step-by-step explanation:
You're multiplying more than 2/3, so it is greater than.
2/3 x 1 5/9 is the same as 2/3 x 14/9. The answer to this is 28/27. Simplify to a mixed number which is 1 1/27.
Hope it helps!
Answer:
2/3 is less than and the answer is 28/27 = 1 1/27 = 2/3 x 1 5/9
Step-by-step explanation:
2/3 x 1 5/9 = 28/27 = 2/3 x 14/9 = 1 1/27
2/3 ≤ 28/27 = 1 5/9
Kelly wants to buy cupcakes for her family. The radius of the cupcake is 12
inches, what is the distance around the cupcake? *
Your answer
Answer:
75.4 inches
Step-by-step explanation:
circumference = 2πr = 24π ≅ 75.4 inches
It's really more of a tubcake than a cupcake.
Please Help! Will mark Brainliest!!
Answer:
x = π/4, 5π/4
Step-by-step explanation:
sin(x) - 2 = cos(x) - 2
sin(x) = cos(x)
x = π/4, 5π/4
Pls help I’ll brainlest ASAP pls
Answer:
k=63
Step-by-step explanation:
(k/3)+3=24
---> (k/3)=21
- this is because we subtracted 3 from each side
---> k=63
- this is because we multiplied each side by 3
i hope this helped :D
Answer:
k=63
Step-by-step explanation:
i jus checked
9/5 equal blank divided by blank
Answer:
9/5 = 1/5 divided by 1/9
Step-by-step explanation:
1/5 x 9/1 = 9/5
Select all the expressions that are equivalent to 2/3(9x+6)-1/2(8x-4)?
M. 2(x+1)
P. 2x+6
R. 2x+2
S. 2(x+3)
T. 8x
Answer:
S. 2(x+3)
Not sure if I should show my work or no
What is the image of (-10,-6) after dilation by a scale factor of 1/2 centered at the origin?
The coordinate of resulting image after dilation is (-5, -3)
Dilation and scale factorsGiven the coordinate of an image (-10,-6), dilating the coordinate by 1/2 means reducing the image by multiplying each coordinate by the factor of 1/2.
Image = (1/2(-10), 1/2(-6))Image = (-5, -3)From the calculation above, you can see that the coordinate of resulting image after dilation is (-5, -3)
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sorry i answerd the wrong question.
the verified answer is correct
5-3Which of the following is true if YW is an angle bisector.
Answer:
Third option is the correct answer
Step-by-step explanation:
[tex] \angle XYW\cong \angle ZYW[/tex]
Answer:
Step-by-step explanation:
Angle XYW is congruent to angle ZYW
What place is the digit 3 in the number 6,257.839
Answer:
tenths
Step-by-step explanation:
what are the coordinates of the final point?
9514 1404 393
Answer:
(5, -8)
Step-by-step explanation:
Reflection over the y-axis negates the x-coordinate. Translation down 3 subtracts 3 from the y-coordinate. The resulting transformation is ...
(x, y) ⇒ (-x, y-3)
(-5, -5) ⇒ (5, -8)
The coordinates of the final point are (5, -8).
I need to find the x
Complete the statement. If a transversal intersects two parallel lines, then ___.
a. Same-side interior angles are complementary,
b. alternate interior angles are congruent
c. Corresponding angles are supplementary
d. none of these
Answer:
alternate interior angles are always congruent.
Step-by-step explanation:
- Consecutive [Same-side] exterior angles are always supplementary.
- Consecutive [Same-side] interior angles are always supplementary.
- Corresponding angles are always congruent.
I am joyous to assist you anytime.
Answer:
B
Step-by-step explanation:
If a transversal intersects two parallel lines, then alternate interior angles are congruent. If a transversal intersects two parallel lines, then same-side interior angles are supplementary. ... If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel.
From 1999 to 2008, the United States Mint
produced commemorative quarters for each
state in the United States. Each year, quarters for
fi ve diff erent states were circulated to the public,
and many people collected the coins. Steven
wanted to collect these coins, so his uncle gave
him a handful of the state quarters. Steven made
this list of the coins that he was given.
1. Steven put all the coins in his pocket and
pulled one out at random.
a. What is the probability that he selected
a Texas quarter?
b. What is the probability that he selected a quarter minted in 2002?
c. Use the sample space to explain how you determined these probabilities.
Answer:
a. [tex]\frac{2}{13}[/tex]
b. [tex]\frac{3}{13}[/tex]
c. See the step-by-step explanation.
Step-by-step explanation:
A table given by OP
State Year
Tennessee 2002
Tennessee 2002
Ohio 2002
Alabama 2003
Maine 2003
Florida 2004
Florida 2004
Florida 2004
Texas 2004
Texas 2004
California 2005
California 2005
Kansas 2005
a. There are 2 Texas quarters and 13 coins in total, so the probability of selecting a Texas quarter at random is [tex]\frac{2}{13}[/tex].
b. Analagously, the probability is [tex]\frac{3}{13}[/tex], because there are 3 quarters minted in 2002.
c. See a and b.
-360 divided by -40 ?
Answer: 9
Step-by-step explanation:
The required -360 divided by -40 is equal to 9. The negative signs cancel out when dividing two negative numbers, resulting in a positive result.
When dividing two negative numbers, it's helpful to keep in mind the following rule:
The division of two negatives yields a positive result.
Now, let's perform the division:
-360 ÷ -40
Since both numbers are negative, we know the result will be positive.
Divide the absolute values of the numbers.
|-360| ÷ |-40| = 360 ÷ 40 = 9
Apply the rule for the division of two negatives.
Since both numbers are negative, the result will be positive:
-360 ÷ -40 = 9
Therefore, -360 divided by -40 is equal to 9.
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I think the answer should be 1/x but I don’t understand how they want me to put it in.
(15 points)
Answer:
See explanation below (type a 1 (one) in each box)
Step-by-step explanation:
Notice that by using the exponent notation and properties, the given exponents can be re-written and simplified as shown below:
[tex]\frac{(x^{20})^\frac{1}{10} }{\sqrt{x^6} } =\frac{x^2}{x^\frac{6}{2}} =\frac{x^2}{x^3} =\frac{1}{x}[/tex]
As you seem to have found. Well done!
What you are expected to do, is to type the coefficient that goes in the numerator (in your case a "1", and in the box below, the exponent that x has in the denominator (in your case also a "1").
So please complete the question as shown below typing a "1" in each box:
[tex]\frac{1}{x^1}[/tex]
PLEASE HELP!
Find values for p and q so that the equation has infinitely many solutions.
-7x + p = qx + 1
p =
q =
Step-by-step explanation:
a1/a2=b1/b2=c1/c2
-7=p=qx+1
p= -7 ,qx+1= -7
p= -7 ,q= -6/x
Olivia takes a brisk walk around a pond. She walks 1.25 hours at an average speed of 3 miles per hour. What is the distance around the pond? The distance around the pond is _____________________.
**Please label your answer.**
Answer:
3.75 miles i think
Step-by-step explanation:
If pp is inversely proportional to the square of qq, and pp is 28 when qq is 3, determine pp when qq is equal to 2
Answer:
448
Step-by-step explanation:
[tex](p1)(q1)^2=p2(q2)^2\\p1(2)^2=28(8)^2\\p1=(4)=28(64)\\4p1=1792/4\\p1=448[/tex]
Value of [tex]\boldsymbol{pp}[/tex] is [tex]\boldsymbol{\frac{112}{9}}[/tex]
Inverse Relation[tex]pp[/tex] is inversely proportional to the square of [tex]qq[/tex]
So,
[tex]\boldsymbol{pp=\frac{(qq)^2}{k}}[/tex] where [tex]k[/tex] is a constant.
Put [tex]pp=28,qq=3[/tex]
[tex]28=\frac{3^2}{k}\\28=\frac{9}{k}[/tex]
[tex]\boldsymbol{k=\frac{9}{28}}[/tex]
So,
[tex]pp=\frac{28}{9}(qq)^2[/tex]
Put [tex]qq=2[/tex]
[tex]pp=\frac{28}{9}(2)^2\\ pp=\frac{112}{9}[/tex]
So, value of [tex]\boldsymbol{pp}[/tex] is [tex]\boldsymbol{\frac{112}{9}}[/tex]
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EASY QUESTION DO NOT GUESS WILL LIST BRAINLIST PLS HELP MUCH APPRECIATED!
What is the slope of the line shown in the graph?
Answer:
-1/3
Step-by-step explanation:
slope = rise/run = -1/3
