Depreciation formula :
Amount x (1-rate)^time
125 x (1-0.005)^5
124 x 0.995^5 = 121.91
Answer: $121.91
The ratio of 5 to 15
Answer:
the ratio of 5 to 15 is
1/3 hope i helped please check out my latest question i need help with homework
Step-by-step explanation:
its simplified
How many students play a team sport but do not take dance lessons
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of: μ = 473 and a standard deviation of: σ = 28. According to the standard deviation rule, almost 0.15% of the students spent more than what amount of money on textbooks in a semester?
Answer:
0.15% of the students spent more than 557 on textbooks in a semester
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 473
Standard deviation = 28
According to the standard deviation rule, almost 0.15% of the students spent more than what amount of money on textbooks in a semester?
99.7% of the measures are within 3 standard deviations of the mean, so 100 - 99.7% = 0.3% are more than 3 standard deviations from the mean.
The normal distribution is symmetric, which means that 0.3%/2 = 0.15% spend less than 3 standard deviations below the mean, and 0.15% spend more than 3 standard deviations above the mean.
473 + 3*28 = 473 + 84 = 557
0.15% of the students spent more than 557 on textbooks in a semester
Which shows the simplified form of the expression below? 90y^4-120y-360y^3+30y^2
Show all steps you took to get the answer
Answer:
[tex]90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))[/tex]
Step-by-step explanation:
Given
[tex]90y^4-120y-360y^3+30y^2[/tex]
Required
Simplify
[tex]90y^4-120y-360y^3+30y^2[/tex]
Factor out 30y
[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 4 - 12y^2 + y)[/tex]
Reorder the expression
[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 12y^2 +y - 4 )[/tex]
Factorize
[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^2(y - 4) +(y - 4) )[/tex]
Combine the factors
[tex]90y^4-120y-360y^3+30y^2 = 30y((3y^2+1)(y - 4))[/tex]
Rewrite as:
[tex]90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))[/tex]
Given that f(x) = 3^x, identify the function g(x) shown in the figure
Plz help yall
Answer:
B. g(x) = 3^(x - 4) + 2Step-by-step explanation:
As per the graph, g(x) is the translation of f(x) right and up, therefore:
g(x) = f(x - 4) + 2Which is:
g(x) = 3^(x - 4) + 2Correct choice is B
Answer:
g(x) = 3(x + 4) - 2
Often scientists use rate of change equations in their study of population growth for one or more species. In this problem we study systems of rate of change equations designed to inform us about the future populations for two species that are either competitive (that is both species are harmed by interaction) or cooperative (that is both species benefit from interaction. Which system of rate of change equations below describes a situation where the two species compete and which system describes cooperative species? Explain your reasoning.
a. dx/dt= -5x + 2xy
b. dx/dt= 4x-2xy
c. dy/dt= -4y + 3xy
d. dy/dt= 2y-xy
Answer:
a: cooperative.
b: competitive.
c: cooperative.
d: competitive.
Step-by-step explanation:
The rate of change:
dx/dt
gives information about how the quantity x changes as a function of time.
If dx/dt > 0, the population x increases as the time passes.
if dx/dt < 0, the population x decreases as the time passes.
Now, let's analyze the options:
a) dx/dt= -5x + 2xy
in this case, x represents one population and y represents the other population. Where x and y should only be positive numbers because we can not have a negative population.
Notice that in this case, if y increases, then dx/dt increases.
Then we have cooperative species because the population y helps the growth of population x.
b) dx/dt = 4*x - 2*x*y
Similar to the previous case, but now as the value of y increases, the value of dx/dt decreases, then we have competitive species.
c) dy/dy = -4*y + 3*x*y
Notice that now we have the rate of change of y, in the right side, we can see that as x increases, also the rate of change dy/dt.
Then the population x helps to increase the population y, which means that the species are cooperative.
d) dy/dt = 2*y - x*y
Now as x increases, the value of dy/dt decreases, then these species are competitive.
Yeshemi Yaurez went to the local sporting goods store, where he bought a fishing pole for $32.88,
a tackle box for $15.95, and some lures for $9179. If the state sales tax rate is 4 percent, what is
his total purchase price?
The city of Raleigh has 6000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 250 randomly selected registered voters was conducted. 100 said they'd vote for Brown, 141 said they'd vote for Feliz, and 9 were undecided. Describe the population actually represented by this survey.
Answer:
[tex]Brown = 2400[/tex]
[tex]Feliz = 3384[/tex]
[tex]Undecided = 216[/tex]
Step-by-step explanation:
Given
[tex]N = 6000[/tex] -- population
[tex]n = 250[/tex] -- sample
From the sample, the proportions are:
[tex]B = 100[/tex] -- Brown
[tex]F=141[/tex] -- Feliz
[tex]U = 9[/tex] -- undecided
Required
Describe the actual population
The actual is calculated using:
[tex]Actual = \frac{p}{n} * N[/tex]
So, for Brown
[tex]Brown = \frac{100}{250} *6000[/tex]
[tex]Brown = \frac{100*6000}{250}[/tex]
[tex]Brown = \frac{600000}{250}[/tex]
[tex]Brown = 2400[/tex]
For Feliz
[tex]Feliz = \frac{141}{250} * 6000[/tex]
[tex]Feliz = \frac{141* 6000}{250}[/tex]
[tex]Feliz = \frac{846000}{250}[/tex]
[tex]Feliz = 3384[/tex]
For undecided
[tex]Undecided = \frac{9}{250}*6000[/tex]
[tex]Undecided = \frac{9*6000}{250}[/tex]
[tex]Undecided = \frac{54000}{250}[/tex]
[tex]Undecided = 216[/tex]
Tom has some toy cars. 25 of them are red. He has 35 more green cars than red cars. The remaining 15 toy cars are yellow. Tom decides to pack 5 toy cars of the same colour in a box. How many more boxes of red and green toy cars are there than boxes of yellow toy cars?
Answer:
Step-by-step explanation:
red = 25
green = 25 + 35 = 60
yellow = 15
red = 25/5 = 5
green = 60/5 = 12
yellow = 15/5 = 3
Red + green = 5 + 12 = 17 boxes
yellow = 3 boxes
17 - 3 = 14 boxes
There are 14 more boxes of red and green cars than yellow cars.
a school has 300boys.if this is 60% of the total no. of pupils in the school, how many girls are there in the school?
Answer:
240
Step-by-step explanation:
if that is 60 percent that means that if you times 600 by 40 percent that should get you your awnser
ashley is on a road trip. so far she has traveled 28.61% of the trip which is 101 miles. how many miles is the entire trip?
Answer:
Around 300 Miles
Step-by-step explanation:
Nots sure of the exact number. If 28% of the trip is 101 miles then 50% would be around 210 miles.
So the entire trip as a whole should be near 300 miles.
Hope this Helps!
:D
8/9 ÷ 4/9 = ??????????
Answer:
2
Step-by-step explanation:
This expression can be rewritten as
8
----
9
======
4
---
9
If we now invert the denominator fraction 4/9 and multiply the result, we get:
8 9
----- * ----- = 2
9 4
What is the missing constant term in the perfect square that starts with x^2 + 10z
Answer:
25
Step-by-step explanation:
i think you mean +10x
but (x+a)^2 = x^2 + 2ax + a^2
2ax = 10x
ax = 5x
a = 5
so (x+5)^2 = x^2+10x+25
6) The height of any child in Mr. Diaz's kindergarten class is no greater than 46 inches.
Unkno
e) Let h be the height in inches of a child in the class. Write an inequality that means that
a height is no greater than 46 inches.
h < 46
Unkno
•) Graph the inequality h < 46.
egunkno
58
60
54
56
50
52
48
46
44
40
42
0 0
Crin
mage
Answer:
full arrow going left from 46
Step-by-step explanation:
Inequalities are used to represent unequal expressions.
The inequality is: [tex]h \le 46[/tex]
The height (h) is said to be no greater than 46 inches.
The text "no greater than" means less than or equal to.
In inequalities, less than or equal to is represented with <=
So, the inequality is:
[tex]h \le 46[/tex]
See attachment for the graph of the inequality.
Read more about inequalities at:
https://brainly.com/question/18881247
Will give brainliest
What is the missing reason in step six?
A. Opposite sides in a parallelogram are congruent
B. SSS
C. CPCTC
D. Definition of a parallelogram
CPCTC is the missing reason in step six.
CPCTC states that corresponding part of the congruent triangles are congruent.
Here, Given: ABCD is a quadrilateral,
In which AD ≅ BC and AD║BC
Prove : ABCD is a parallelogram.
Statement Reason
1. AD ≅ BC; AD║BC 1. Given
2.∠CAD and ∠ACD are alternative angles 2. Definition of alternative angles
3. ∠CAD ≅∠ACB 3. alternative angles are congruent
4. AC ≅ AC 4. Reflexive property
5.△CAB ≅ △ACB 5. SAS congruence postulate
6. .AB ≅ CD 6. CPCTC
7. ABCD is a parallelogram 7. Parallelogram side theorem
Therefore, CPCTC is six step.
Learn more about parallelogram here:
https://brainly.com/question/26768239
#SPJ2
How much is nine times eight ?
Always, Sometimes, Never
Two similar triangles are congruent
Answer:
Similar triangles are sometimes congruent. We can consider two triangle such that the measure of all the angles are equal but the sides of one triangle is three times the side of the other triangle in such a case the triangles are not congruent but they are similar
Which inequality describes the relationship between points A and B on the number line?
Which equation is represented by the number line? -10 -8 -6 -4 -2 0 2 4 6 8 10
1. - 4 + 10 = 6
2. -6 + 2 = -4
3. 2 + 4 = 6
4. 6 + (-10) = -4
Answer:
I think it's -4+10=6
Step-by-step explanation:
I'm not sure. I'm sorry if it's wrong but I'm pretty sure it's right.
Which statement is always true
Answer:
No picture so I can’t answer the question
Step-by-step explanation:
) On a merry-go-round, 16 horses are evenly spaced on the outside perimeter. Abe is opposite
to the first horse. It takes 6 seconds for the fifth horse to reach Abe. How long will it take the merrygo-round to go around once? Draw a clear diagram to answer this question.
Help!!!!!!
1368⁄75 is approximately equal to what value
Answer:
Is there anything that we can choose an answer from?
Step-by-step explanation:
Marlon’s fruit juice blend is made of 2 cups pineapple juice, 3 cups apple juice, and 3 cups orange juice. Which percentage of Marlon’s juice blend is orange juice? A. 25% B. 38% C. 50% D. 60%
Answer:
B. 38%
Step-by-step explanation:
which one is the answer
Answer:
Two
Step-by-step explanation:
(right person gets 44 points!!)
the freshman class is planning a carnival, the cost to rent a space in writers $350, to pay for the space and rides, each freshman must pay $.50 and $2 for each guest who is not a freshman, one hundred freshman plan to attend how many guests must attend in order to pay for the space and rides
A) no more than 150 guests
B) At least 300 guests
C) at least 140 guests
D) at least 150 guests
Answer:
I'm not 10)% sure but I believe it's A.
Step-by-step explanation:
Answer:
Answer C (Atleast 140 guests)
Step-by-step explanation:
First you have to add $2+0.50=$2.5 you have to divide $350 by $2.5 to get 140 guests
Convert the point-slope form to slope-intercept form. y - 5 = 3(x - 2)
Answer:
y = 3x - 1
Step-by-step explanation:
distribute on the right side of equation first
y - 5 = 3x - 6
now add 5 to each side
y = 3x - 1
Answer:
Step-by-step explanation:
y - 5 = 3x - 2
y = 3x + 3
1. Bruce graphs parallelogram GOAT with the coordinates G(-2,-3), 0(3.-4),A(2.-10), and T(-3,-9). At which of the following points do the diagonals meet A (0-2 B (0-3) c (1) D.-5)
Answer:
(0,-13/2)
Step-by-step explanation:
Graph down the points and use the midpoint formula, (X1+X2)/2, (Y1+Y2)/2
Help
==================
Answer: 0.5
Step-by-step explanation:
17 is half of 34 and 1/2 = 0.5
Answer: 0.5 is this second grade
Estimate the product by rounding to the nearest
thousand 7763 x 50,737
find the estimated product
2) Egbert's twin sister Egberta runs her own small business making pies. She delivers all
her own orders. For each order, she charges a flat delivery fee, and a cost per pie. Client 1
makes orders 2 pies and it costs $62. This is expressed as the ordered pair (2, 62).
a) Client 2 orders 11 pies for a total cost of $287. Express this as an ordered pair.
I
b) Find the slope between these 2 points.
c) Write a linear equation to represent this scenario where x is the number of pies
and y is the total charges
d) What is the cost per pie?
What is the delivery fee?
e) Use the equation to find out how much she would charge for 8 pies
f) How many pies would result in a total charge of $262 ?
Focus
Answer:
Step-by-step explanation:
a. (11,287)
b. 25
c. y = 25x + 12 (not sure if this is correct)
d. $25 and $12
e. $212
f. 10 pies