Answer:
(a) 40
(b) 15% per week, to the nearest percent.
Step-by-step explanation:
Given:
old production,
P(w) = 230(1.1^w)
(a) At week 0, w=0, so
P(0) = 230(1.1^0) = 230
Difference (old - new) = 230-190 = 40
(b) about 15% per week
(c) from the 4th week on
approximate growth rate of new factory
N(w) = 190(R^w)
we know
w=0, N(0) = 190
w=7, N(7) = 505
so R=(505/190)^(1/7) = 1.1499 = 1.15 approx.
(c)
The old production tabulated:
w P(w) New
0 230 190
1 253 220
2 278 252
3 306 290
4 337 337
5 370 380
6 407 440
7 448 505
So we see that at the end of the 4th week, the two productions match, and new factory begins to exceed old production.
A bank is offering 5.5% simple interest on a savings account. If you deposit $15000, how much interest will you earn in six year?
What is this question asking for?
What Kinda Interest?
Answer:
a. $4,950
b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate
c. Simple interest
Step-by-step explanation:
a. We want to calculate the amount of interest to be earned in six years
To calculate this, we use the formula for simple interest.
Mathematically;
Simple interest I = PRT/100
Where P is the principal which is the amount deposited = $15,000
R is the rate which is 5.5%
T is the time which is 6 years
Substituting these values in the simple interest formula, we have
I = (15,000 * 5.5 * 6)/100 = $4,950
b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate
c. Simple interest
PLEASE help me solve this question! No nonsense answers please!
Answer: The fourth option. if you round, 200 * 20, 1800 is found out to be much too low.
Step-by-step explanation:
Answer:
Her estimate is too low because 200 * 20 = 4000
Step-by-step explanation:
Take 19 and round to 20
Take 212 and round to 200
20 * 200 =4000
Her estimate is low
Anyone who answers will be marked brainiest answer. If u don't understand anything just ask.
Answer:
7/2 pi
or approximately 10.99557429
Step-by-step explanation:
2 pi sqrt( a/b)
let a = 49 and b = 16
2 pi sqrt( 49/16)
We know that sqrt( a/b) = sqrt(a) /sqrt(b)
2 pi sqrt(49) / sqrt(16)
2pi ( 7) / (16)
2 pi ( 7/4)
7/2 pi
This is the exact answer
We can make an approximation for pi
Using the pi button on the calculator
10.99557429
What shape best describes the cross-section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Square Rectangle
Answer:
Parallelogram
Step-by-step explanation:
Answer:
Parallelogram
Step-by-step explanation
72.3 + (-39.1)
☝
Rewrite the expression by breaking up each of the place values. In this case, the place values are tens, ones, and tenths.
Answer:
72.3 - 39.1 = 4tens - 7ones + 2tenth
Step-by-step explanation:
Give the expression 72.3 + (-39.1)
opening the parenthesis:
= 72.3 + (-39.1)
= 72.3 - 39.1
Breaking the decimal values into place values
72.3 = 7tens + 2units + 3tenth
72.3 = 7(10)+2(1)+3(1/10)
72.3 =70+2+0.3
Similarly for 39.1
39.1 = 3tens + 9units + 1tenth
39.1 = 3(10)+9(1)+1(1/10)
39.1 =30+9+0.1
72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)
72.3 - 39.1 = 70+2+0.3 - 30-9-0.1
72.3 - 39.1 = 70-30+2-9+0.3-0.1
72.3 - 39.1 = 40 - 7 +0.2
72.3 - 39.1 = 4tens - 7ones + 2tenth
Answer:
72.3 - 39.1 = 70 + 2 + 0.3 + (-30) +(-9) + (0.1)
Step-by-step explanation:
got it from edmentum
Ncluding a 6% sales tax, a new stereo costs $492.9. Find the cost of the stereo before tax. A) First write an equation you can use to answer this question. Use x x as your variable and express any percents in decimal form in the equation. (1)
Answer:
1.06x = 429.9
Cost of stereo before sales tax = $405.6
Step-by-step explanation:
Given the following :
Full cost of stereo(cost after sales tax) :
(cost before sales tax + sales tax)
Sales tax = 6%
Cost after sales tax = $492.9
Take the cost before sales tax as 'x'
Therefore, cost after sales tax:
x + 6% of x = $492.9
Equation to solve the problem :
x + 0.06x = 429.9
1.06x = 429.9 - - - (1)
We can then solve for x:
1.06x = 429.9
x = 429.9 / 1.06
x = $405.56603
x = $405.6
Niko is 3 times as old as Lila. Niko's age is the same as adding Lila's age to the product of 3 and Amber's age. Niko is 45 years old. Kameron's age is equal to 2 times the sum of Amber's age and Lila's age. How old is Kameron? years old
Answer:
Kameron is 50 years old.
Step-by-step explanation:
We can make equations and start filling in what we already know, assuming [tex]n[/tex] is Niko's age, [tex]L[/tex] is Lila's age, [tex]a[/tex] is Amber's age, and [tex]k[/tex] is Kamerons age.
Our first equation:
n = 3L
We know that Niko is 45, so
45 = 3L
Divide both sides by 3:
L = 15
So, Lila is 15 years old.
Another equation:
n = L + 3a
We already know Niko and Lila's age:
45 = 15 + 3a
Subtract 15 from both sides:
30 = 3a
Divide both sides by 3:
a = 10
So Amber is 10 years old.
Another equation:
k = 2(a + L)
We know Amber and Lila's age:
k = 2(10 + 15)
k = 2(25)
k = 50
So Kameron is 50 years old.
Hope this helped!
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement. Triangle LKJ≈____
Answer: C) similar, SAS similarity, triangle LQR
==============================================
Explanation:
The vertical angles KLJ and QLR are congruent. This forms the "A" in "SAS". The angles in question are between the marked sides.
KL = 18 is twice that of QL = 9, or put another way, KL/QL = 18/9 = 2. The ratio of the sides is 2. Also, JL/RL = 16/8 = 2 is the same ratio. Because both pairs of sides have the same ratio, the sides are in proportion. This helps form the two "S" letters of "SAS".
The original triangle has LKJ mentioned at the top. Note the order as its important. We start with L and move to K, so LK is the first segment mentioned. LK = 18 pairs up with LQ = 9, meaning that LQ must be the first segment mentioned of the answer triangle. Therefore LQR is the correct letter sequence if we start with point L. Writing QLR is not correct because Q is the first letter here but Q does not pair up with L.
PLEASE HELP I PUT THE PROBLEM AS A PICTURE PLEASE ANSWER WILL GIVE 30 POINTS SHOW WORK
Answer:
[tex]\huge\boxed{9}[/tex]
Step-by-step explanation:
[tex]\sf (2^8 * 3^{-5} * 6^0)^{-2 } (\frac{3^{-2}}{2^3} )^4*2^{28}[/tex]
Rule of exponents [tex]a^0 = 1[/tex] , [tex]1/a^m = a^{-m}[/tex]
=> [tex]\sf 2^{8*-2} * 3 ^{-5*-2} * 3 ^{-2}* 2^{-3*4} * 2^{28}[/tex]
=> [tex]\sf 2 ^ {-16} * 3^{10} * 3^{-8} * 2 ^{-12}* 2^{28}[/tex]
Combining same bases
=> [tex]\sf 2 ^ {-16} * 2 ^{-12}* 2^{28}* 3^{10} * 3^{-8}[/tex]
When bases are same , powers are to be added
=> [tex]\sf 2 ^{-16-12+28} * 3^{10-8}[/tex]
=> [tex]\sf 2^{-28+28} * 3^2[/tex]
=> [tex]\sf 2^0 * 3^2[/tex]
=> [tex]\sf 3^2[/tex]
=> 9
If cot^(4)x − cot^(2)x = 1, then the value of cos^(4)x + cos^(2)x is
Answer:
1
Step-by-step explanation:
[tex]cot^4x-cot^2x=1\\cot^4x=1+cot^2x\\cot^4x=cosec^2x\\ cos^4xsin^2x=sin^4x\\cos^4x=\frac{sin^4x}{sin^2x}\\cos^4x=sin^2x[/tex]------- (1)
Putting the value of [tex]cos^4x[/tex] in the equation:
[tex]cos^4x+cos^2x\\sin ^2x +cos^2x\\1[/tex] (Using the identity [tex]cos^2x +sin^2x=1)[/tex]
Mrs kanja ,miss kanene and Mrs nyaga have to mark a form three contest for 160students .They take 5mins ,4mins and 12mins respectively to mark a script .If they all start to mark at 9.00am non-stop ,what is the shortest time they ca n take to complete the marking?
Answer:
300 minutes
2:00 p.m
Step-by-step explanation:
Given the following:
Time taken to mark a script :
Mrs Kanja = 5mins
Miss Kanene = 4mins
Mrs Nyaga = 12 mins
Number of scripts = 160
Start time = 9:00 a.m
Rate at which each of them mark:
Mrs Kanja = t / 5
Miss Kanene = t/4
Mrs Nyaga = t/12
Combined rate :
t/5 + t/4 + t/12 = 160
(12t + 15t + 5t) / 60 = 160
32t / 60 = 160
32t = 160 * 60
32t = 9600
t = 9600 / 32
t = 300 minutes
300 minutes = 300/60 = 5hrs
9:00 a.m + 5 hours = 2:00 p.m
Mr Hamar had rupees 4,400 hie purchase 6 kg of rice at Rupess 75 for KG ,2 packets of oil at rupees 125 per packet and he gave rupees 3,300 to his wife if he divided the remaining Sum between his son and daughter equally find the share of each of them
Step-by-step explanation:
Total rupees= 4400
Price of 6kg rice = 75 x 6 = 450
Price of 2 packets oil = 125 x 2 = 250
Amount given to wife = 3300
Total = 450 + 250 + 3300 = 4000
Remaining amount = 4400 - 4000 = 400
Share of son and daughter = 400 ÷ 2 = 200
So his son and daughter both get 200
I am an odd two-digit number. The sum of my two digits is 10 and the difference of my two digits is 0. What number am I?
Which transformation shows a reflection across the y-axis? A) A B) B C) C D) D
Answer:
The answer is A
Step-by-step explanation:
This shows a mirroring effect over the vertical y axis.
Choices B and C are a translation (aka shifting)
Choice D is a reflection but over the horizontal x axis.
What is the difference between a matrix and a determinant?
Answer:
Step-by-step explanation:
A matrix is a set of numbers organized in rows and columns to represent the variables in a situation, and the determinant is used to find the inverse of a matrix which helps you solve for different variable values.
Answer: A matrix or matrices is a rectangular grid of numbers or symbols that is represented in a row and column format. A determinant is a component of a square matrix and it cannot be found in any other type of matrix. ... A determinant is a number that is associated with a square matrix.
Step-by-step explanation:
20. Find the midpoint between the given points.
(3, -8) and (-5, -13)?
I need an answer fast! help if you can!
Hi there! :)
Answer:
[tex]\huge\boxed{(-1, -10.5)}[/tex]
Use the midpoint formula to solve for the midpoint:
[tex](x_{m}, y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2}}{2})[/tex]
Plug in the points:
[tex](x_{m}, y_{m}) = (\frac{-5+3 }{2} , \frac{-13 -8}{2})[/tex]
Simplify:
[tex](x_{m}, y_{m}) = (\frac{-2 }{2} , \frac{-21}{2})[/tex]
[tex](x_{m}, y_{m}) = (-1 , -10.5)[/tex]
Dubai Mall and Deira City Centre are equidistant from Wafi Mall. Considering Wafi Mall as origin, the position of Deira City Centre is ( 0,7). If the ordinate of the position of Dubai Mall is zero, then write the coordinates of the position of Dubai Mall.
they're equidistant, so distance should be equal.
distance of City centre is [tex]\sqrt{0^2+7^2}=7[/tex]
distance of mall is simply $x$. (ordinate is 0, means the point is on x axis , and that's the distance from origin)
thus, $$x=7$$
Please help for 10 points and 5 stars with 1 thanks! :]
probability = favourable outcomes/total outcomes
you need 1 banana, out of 4 and there are total of 6 items so probability will be 4/6
when you take out 1 banana, there are 3 banana left and total of 5 items
so probability of this action will be 3/5
now, next action is taking out another banana.
this is NOT an independent event.
so by we will multiply the probabilities of these events according to rule of products.
so the answer is [tex] \frac{4\cdot3}{6\cdot5}=\frac25[/tex]
or 2×100/5=40%
hi there can you please help me
[tex]t = \sqrt{ \frac{ab - s}{r + ak} } [/tex]
[tex]t=\sqrt{\dfrac{ab-s}{r+ak}}\\\\t^2=\dfrac{ab-s}{r+ak}\\\\rt^2+akt^2=ab-s\\\\akt^2-ab=-rt^2-s\\\\a(kt^2-b)=-(rt^2+s)\\\\a=-\dfrac{rt^2+s}{kt^2-b}\\\\a=-\dfrac{rt^2+s}{-(b-kt^2)}\\\\a=\dfrac{rt^2+s}{b-kt^2}[/tex]
how many are 6 raised to 3 ???
Answer:
216
Step-by-step explanation:
When you say "6 raised to 3", it means you multiply 6, 3 times. Meaning:
6✖️6✖️6=216
Hope this helped!
Have a nice day:)
The members of an Olympiad team contributed
a total of $ 1.69 for refreshments for their
weekly practices. Each member contributed the
same amount and paid for his or her share in
five coins. How many nickels were contributed
by all of the members?
Answer:
26 nickels
Step-by-step explanation:
Given that
Total contributed = $1.69
Number of coins = 5
based on the above information,
The number of nickels to be contributed is
Here first we have to determine the prime factors of 169 i.e 13 and 13
This represents that there are 13 member gives their $0.13 per person so it would be $1.69
Also there are 13 cents out of which 3 cents would be 3 pennies the remaining 10 cents would be 2 nickels
So the 13 people contributed to 2 nickels
Therefore, it would be
= 13 × 2
= 26 nickels
if the cost of a notebook is 2x-3 express the cost of five books
Answer:
10x - 15
Step-by-step explanation:
5(2x-3) = 10x - 15
Please answer this question now
Answer:
76 degrees.
Step-by-step explanation:
Let as consider O is the center of the circle . So from the figure it is clear that
[tex]\angle AOB=44^{\circ}[/tex]
[tex]\angle COD=118^{\circ}[/tex]
By central angle theorem, central angle subtended by an arc is twice of inscribed angle of the same arc.
We know that, [tex]\angle BAD=97^{\circ}[/tex] and angle BOD is the central angle subtended by arc BD.
[tex]\angle BOD=2\times \angle BAD[/tex]
[tex]\angle BOD=2\times 97^{\circ}[/tex]
[tex]\angle BOD=194^{\circ}[/tex]
Now,
[tex]\angle BOD=\angle BOC+\angle COD[/tex]
[tex]194^{\circ}=\angle BOC+118^{\circ}[/tex]
[tex]194^{\circ}-118^{\circ}=\angle BOC[/tex]
[tex]76^{\circ}=\angle BOC[/tex]
[tex]m(arc(BC))=76^{\circ}[/tex]
Therefore, the measure of arc BC is 76 degrees.
4' 1" − 1' 10" = Subtract measurement with Same Difference Theorem
Answer:
2' 3"
Step-by-step explanation:
Here 4' 1" − 1' 10" is certainly possible, but to carry out this operation we must borrow 1', or 12", from 4' 1":
4' 1" becomes 3' 13", and so the original problem becomes
3' 13" - 1' 10"
which in turn becomes 2' 3"
Sagan scored 1200 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 980 and standard deviation 100. Andrea scored 27 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 20 and standard deviation 5. Who performed better on the standardized exams and why? Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was a 1200, which is greater than Andrea's score of 27. Andrea scored higher than Sagan. Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Sagan's standardized score of 2.2 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was 220 points above the mean of 980, and Andrea's was 7 points above the mean of 20. Andrea scored higher than Sagan. Andrea is only 9 points from the top score of 36 on the ACT, and Sagan is 400 points from the top score of 1600 on the SAT.
Answer:
A
Step-by-step explanation:
Option A is correct. Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations.
Answer: Correct
Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean.
Step-by-step explanation: No clue:)
Plz Help I Will Mark Brainliest If Right f(x) = x^2 + 3 A). y > -3 B). All real numbers C). y ≥ 3 D). y ≤ 3
Answer:
C) y ≥ 3
Step-by-step explanation:
The answer choices suggest that you're interested in the range of the function. x^2 cannot be negative, so its value will be 0 or greater. Adding 3 to x^2 ensures that the value of f(x) will be 3 or greater.
y ≥ 3 . . . . matches C
Combine like terms to create an equivalent expression. 3.4-2.8d+2.8d-1.3
Answer:
2.1Step-by-step explanation:
[tex]3.4-2.8d+2.8d-1.3\\\\\mathrm{Add\:similar\:elements:}\:-2.8d+2.8d=0\\\\=3.4-1.3\\\\\mathrm{Subtract\:the\:numbers:}\:3.4-1.3\\\\=2.1[/tex]
What is a16 of the sequence 2,11,20
Answer:
137
Step-by-step explanation:
This is an arithmetic sequence with first term (a₁) being 2 and common difference (d) being 11 - 2 = 9.
Explicit formula: aₙ = a₁ + (n - 1) * d so our formula is:
aₙ = 2 + (n - 1) * 9
= 2 + 9n - 9
= 9n - 7
a₁₆ = 9(16) - 7 = 137
Help c/8+5 = 24 a) 192 b) 3 c) 7 d) 152
Answer:
c = 152
Step-by-step explanation:
c/8+5 = 24
Subtract 5 from each side
c/8+5-5 = 24-5
c/8 = 19
Multiply each side by 8
c/8*8 = 19*8
c =152
Answer:
D. 152
Step-by-step explanation:
First, subtract 5 from both sides:
c/8 + 5 = 24
c/8 = 19
Multiply both sides by 8:
c = 152
So, the correct answer is D, 152
When Mr. Gree bought a used car he made a
down payment of $825. This was 30% of the
total cost. The total cost was:
PLEASE HELP! QUICKLY PLEASE!
Answer:
2750
Step-by-step explanation:
825/30=27.5
27.5X100=2750
The total cost of the car will be $2,750.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
The percentage is given as,
Percentage (P) = [Initial value - Final value] / Initial value x 100
When Mr. Gree bought a used car he made a down payment of $825.
This was 30% of the total cost.
Let x be the total cost of the car.
Then the total cost of the car will be
30% of x = $825
0.30x = $825
x = $2,750
Then the total cost of the car will be $2,750.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2