Answer:
16 cents per pound
Step-by-step explanation:
Take the cost and divide by the number of pounds
96 cents / 6 lbs
16 cents per pound
Susan has an investment account which compounds interest annually at a rate of 3.2%. After 6 years, she has 86125 in the
account. How much money did she initially place in the account? Round your answer to the nearest whole number. Do not
include a s in your answer.
Provide your answer below:
Answer:
10610
Step-by-step explanation:
Given,
T=6years
R=3.2%
A=86125
Now,
CA=P[1+R/10]^T
or,P=86125/[1+3.2/10]^6
=86125/5.29
=10610
The height of a projectile launched upward at a speed of 48 feet/second from a height of 160 feet is given by the function h(t)=-16sup(t,2)+48t+160. How long will it take the projectile to hit the ground?
Answer:
Hello,
5 s
Step-by-step explanation:
[tex]h(t)=-16t^2+48t+160\\=-16(t^2-3t-10)\\=-16(t^2-5t+2t-10)\\=-16(t(t-5)+2(t-5))\\=-16(t-5)(t+2)\\\\h(t)=0 \Longleftrightarrow\ t=-2\ or\ t=5\\\\Only\ t=5\ is \ a\ answer.(time\ must\ be\ positive)[/tex]
If carpet costs $24.61 per square yard and is available in whole square yards only, find the cost of carpeting the three bedroom floors in the accompanying floor plan.
Answer:
Step-by-step explanation:
The area of each bedroom is the product of its length and width.
Bdrm 1 area = (14 ft)×(14 ft) = 196 ft²
Bdrm 2 area = (11 ft)×(12 ft) = 132 ft²
Bdrm 3 area = (12 ft)×(11 ft) = 132 ft²
Then the total area of carpet needed is ...
196 ft² +132 ft² +132 ft² = 460 ft²
There are 9 ft² in each square yard, so the number of square yards needed is ...
(460 ft²)/(9 ft²/yd²) = 51.11... yd²
Since we can only obtain whole square yards, 52 square yards are needed. The cost of that will be ...
(52 yd²)×($24.61/yd²) = $1279.72
The cost of carpeting for the three bedrooms will be $1279.72.
Three ducks and two ducklings weigh 32 kg. Four ducks and three ducklings weigh 44kg. All ducks weigh the same and all ducklings weigh the same. What is the weight of two ducks and one duckling?
Answer:
20kg
Step-by-step explanation:
Let the weight of one duck be x and the weight of one duckling be y
ATQ, 3x+2y=32 and 4x+3y=44, solving for x and y we get, weight of one duck is 8kg and one duckling is 4kg. The weight of two ducks and one duckling is 20kg
The absolute value of a number is the _______
away from zero
on the number line. It is always positive because it refers to distance.
Answer:
Distince
I hope thats correct i have never been good at fill in da blanks
Answer:
test
Step-by-step explanation:
test
. Using the identity (a + b)² = (a² + 2ab + b²), evaluate 112²
[tex]\\ \sf\longmapsto 112^2[/tex]
[tex]\\ \sf\longmapsto (100+12)^2[/tex]
[tex]\\ \sf\longmapsto 100^2+2(100)(12)+12^2[/tex]
[tex]\\ \sf\longmapsto 10000+2400+144[/tex]
[tex]\\ \sf\longmapsto 12400+144[/tex]
[tex]\\ \sf\longmapsto 12544[/tex]
112²
Using Identity(a + b)² = (a² + 2ab + b²)
Solution⇛112²
⇛(100 + 12)²
⇛(100)² + 2 × 100 × 12 + (12)²
⇛10000 + 2400 + 144
⇛12400 + 144
⇛12544
6. Sam is buying tickets to a movie
online. The price of one ticket is $8.50.
An equation showing the total cost is
C = 8.50t +3.50 where t is the
number of tickets and $3.50 is a
convenience fee. What is the total cost
if he buys 4 tickets?
Three friends say they are friends A,B and C and they want to buy a teacher a gift so they each put in $10($30 total) and a fourth friend say he is friend D and uses the money and buys a $25 gift and has $5 left and gives each of the three friends $1 back so they technically used $9 each but 9x3=27 and there is $2 left from the $5 but 27+2=29 so when is the last dollar like how does this work?
Answer:
Step-by-step explanation:
You are using the wrong accounting system
Forget the nine dollars.
If the thing bought was 25 dollars, then each one of A B and C put in 25/3 = 8.3333 dollars. If 1 dollar each was going back, then the sum became 9 1/3 dollars. 3 * 9 1/3 = 27 + 1 = 28. There is 2 dollars left. Everything is fine.
25 + 3 = 28
The three each got 1 dollar back. But the total accounted for is 25 + 3 = 28
There's 2 left over. That makes 30. Everything's fine. There is no missing dollar.
What is the solution for the quadratic equation?
Which expression is equivalent to sq root of 2x^5/18? Assume x is greater than 0
Answer:
√(2x^5 / 18) = √2x^5 / √18 = √2x^5 / √9*2 = √2x^5 / 3√2 = √x^5 / 3
The square root of x^5 over the number 3 is an equivalent of the initial expression.
Solve one and two tenths plus eight and one eighteenth
47
Is this it?
1 plus 2(10) plus 8 plus 1(18)
find the product
(4\m+m)(4/m-m)
[tex]\\ \sf\longmapsto \dfrac{4}{m+m}\times \dfrac{4}{m-m}[/tex]
[tex]\\ \sf\longmapsto \dfrac{4\times 4}{(m+m)(m-m)}[/tex]
[tex]\boxed{\sf (a-b)(a+b)=a^2-b^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{16}{m^2-m^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{16}{0}[/tex]
[tex]\\ \sf\longmapsto \infty[/tex]
Answer:
(16-m^4)/m^2
Step-by-step explanation:
=([tex]\frac{4}{m}[/tex]+m)([tex]\frac{4}{m}[/tex]-m)
=[tex]\frac{4+m^2}{m}[/tex]*[tex]\frac{4-m^2}{m}[/tex] (LCM)
[tex]\frac{16-m^4}{m^2}[/tex] (a-b)(a+b)
josue bought 7 pounds of pretzels at a local wholesaler for $16.80. his friend ricardo bought 5 pounds of pretzels at the supermarket for $12.75. Ricardo thinks he got the better deal because $12.75 is less than $16.80. Is Ricardo's reasoning correct? Explain why or why not.
Answer:
Ricardo's reasoning is not correct
Step-by-step explanation:
Find who got the better deal by dividing the price by the number of pounds of pretzels:
16.80/7 = $2.40 a pound
12.75/5 = $2.55 a pound
So, Josue got the better deal because he only spent $2.40 a pound on the pretzels, while Ricardo spent $2.55 a pound.
Ricardo did not get the better deal, because he spent more per pound on the pretzels.
Ricardo's reasoning is not correct.
10 times as much as 9
Answer:
90
Step-by-step explanation:
10 x 9
=> 90
10 times 9 is 90.
a teacher says that the top 10% of the class received an A on the last test. the scores were normally distributed with mean 67 and a standard deviation 16. find the minimum score required to get an A. g
A=7x^2-3x+10 B=-4x^2+6x-4
A-B=
Step-by-step explanation:
A-B
=7x-6x/2 +10) - (-2x +6x-4)
=x/2+10- 4x+4
= x-8x /2 +14
=-7x/2+14
Is -8 an irrational number?
yes or no
no bc it is not no no no no no no no
A company's prime costs total $4,572,000 and its conversion costs total $5,580,000. If direct materials costs are $2,088,000, calculate the overhead costs
Answer:
dont know
Step-by-step explanation:
The equation whose roots or solutions are 11 and -2 is:
a) x2 + 9x + 22 = 0
b) x2 + 7x + 2 = 0
c) x2 - 9x - 22 = 0
d) x2 - 7x - 2 = 0
9514 1404 393
Answer:
c) x^2 - 9x - 22 = 0
Step-by-step explanation:
Consider the generic case ...
(x -a)(x -b) = 0 . . . . . . . has solutions x=a, x=b
Multiplying this out gives ...
x^2 -ax -bx +ab = 0
x^2 -(a+b)x +ab = 0
This tells you ...
the coefficient of x is the opposite of the sum of the rootsthe constant is the product of the rootsThe sum of roots is 11 +(-2) = 9, and the opposite of that is -9. You are looking for an equation with the term -9x. (Choice C matches)
The product of roots is (11)(-2) = -22. You are looking for an equation with a constant of -22. (Choice C matches that, too.)
The equation is ...
x^2 -9x -22 = 0
PLEASE HELP AND BE CORRECT
(b⁷/4⁵)⁻³
= (4⁵/b⁷)³
= 4¹⁵/b²¹
Therefore answer is option b
Must click thanks and mark brainliest
look at the image below
Answer:
201.1 km²
Step-by-step explanation:
Surface area of a sphere= 4πr², where r = radius
so,
4πr²
= 4×π×4²
= 64π
= 201.1 km² (rounded to the nearest tenth)
Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.
Answer:
108 meters squared or m^2
Step-by-step explanation:
* means multiply
15 is probably hypotenuse because its the longest
12 and 9 are probably base and height
area = base * height
area = 12 * 9
area = 108
Answer:
54m^2
Step-by-step explanation:
The ratio of dogs to cats at the shelter is 5 to 6. If the total number of dogs and cats combined at the shelter is 132, then how many cats are at the shelter?
Answer:
Let's set up an equation with x as the number of times 5 and 4 are being multiplied (remember that 5:4 is a ratio, we don't know how many dogs and cats there are, just that the ratio of dogs to cats is 5:4):
5x+4x=153
9x=153
x=17
4x=4⋅17=68
There are 85 dogs (5⋅17) and 68 cats (85:68=5:4)
Anna earned $9 an hour babysitting. She wants
to buy a 16 GB iPod that is $120. Anna has
saved $45 so far. How many more hours of
babysitting does she need to do to earn the rest
to purchase the iPod
Answer:
8.33 hours
Step-by-step explanation:
120-45 = 75
75 ÷ 9 = 8.33
Can anyone help me with trig identities?
Answer:
cosA = √(21/25)
Step-by-step explanation:
We know
sin²(A) + cos²(A) = 1
Next, we know that sin(A) = 2/5. Plugging that into our equation, we get
(2/5)² + cos²A = 1
4/25 + cos²A = 1
subtract 4/25 from both sides to isolate cos²A
cos²A = 1 - 4/25 = 25/25-4/25 = 21/25
square root both sides to get
cosA = √(21/25)
We do not include -√(21/25) in our possible answer for cosA because this is in quadrant 1, so cosA must be positive.
A newspaper infographic titled "Social Media Jeoparding Your Job?" summarized data from a survey of 1,815 recruiters and human resource professionals. The infographic indicated that 51% of the people surveyed had reconsidered a job candidate based on his or her social media profile. Assume that the sample is representative of the population of recruiters and human resource professionals in the United States.
(a) Use the given information to estime the proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile using a 95% confidence interval. (Use a table or technology. Round your answers to three decimal places.)
Give an interpretation of the interval in context. We are 95% confident that the mean number of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile falls within this interval. There is a 95% chance that the true proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile falls directly in the middle of this interval. There is a 95% chance that the true proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile falls within this interval. We are 95% confident that the true proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile falls directly in the middle of this interval. We are 95% confident that the true proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile falls within this interval.
(b) Would a 90% confidence interval be wider or narrower than the confidence interval from part(a)?
Answer:
hihihihihihihiihihihihihi
Step-by-step explanation:
11 10 Find the area of the shaded region. Round your answer to the nearest tenth.
Show that Cov(X, Y 1 Z) 5 Cov(X, Y) 1 Cov(X, Z). b. Let X1 and X2 be quantitative and verbal scores on one aptitude exam, and let Y1 and Y2 be corresponding scores on another exam. If Cov(X1, Y1) 5 5, Cov(X1, Y2) 5 1, Cov(X2, Y1) 5 2, and Cov(X2, Y2) 5 8, what is the covariance between the two total scores X1 1 X2 and Y1 1 Y2
Answer:
x11and x2. arevvvscores
Question 6 of 10
Which situation shows a constant rate of change?
A. The number of tickets sold compared with the number of minutes
before a football game
B. The height of a bird over time
C. The cost of a bunch of grapes compared with its weight
D. The outside temperature compared with the time of day
SUBMI
a) the cost of a bunch of grapes compared with its weight
GRAAAAAAAAAAAAAAAAAAAAAAAAAAAAPES!!!!!
15 = g + 8 pllllllllllssssss help
