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.
the product of 7 and the quotient of 40 divided by 5 is
The quotient of 40 and 5
40÷5=8
=> Product of that number with 7 and 8
So number to find is : 7x8=56
The product of 7 and the quotient of 40 divided by 5 is 56.
What is the quotient?The quotient is the result which is derived by the division of two numbers.
For example, the quotient of 30 divided by 3 is 10.
What is the product of two numbers?The product is the multiplication of two numbers which is written as a*b.
For example, the product of 8 and 9 is 72.
Here given we have to calculate the product of 7 and the quotient of 40 divided by 5.
The quotient of 40 divided by 5 is 40/5= 8
The product of 7 and The quotient of 40 divided by 5= 7*8= 56
Therefore the product of 7 and the quotient of 40 divided by 5 is 56.
Learn more about quotient
here: https://brainly.com/question/673545
#SPJ2
Geometry, please answer question ASAP
Answer: B) 6
Explanation:
Segment BA is half as long as ZY, since BA is a midsegment.
This means ZY is twice as long as BA
ZY = 2*BA
2*BA = ZY
2*(x-1) = 10
2x-2 = 10
2x = 10+2
2x = 12
x = 12/2
x = 6
Note how this leads to BA = x-1 = 6-1 = 5, which is half as long as ZY = 10.
ASAP!! PLEASE Will mark the brainliest answer If a + b = 7 and ab = 12, then find the value of a2- ab+ b2 and a3+b3
Answer:
13 and 91
Step-by-step explanation:
(a + b)² = a² + 2ab + b² , substitute values
7² = a² + 2(12) + b²
49 = a² + 24 + b² ( subtract 24 from both sides )
25 = a² + b²
Then
a² - ab + b²
= a² + b² - ab , substitute values
= 25 - 12
= 13
-------------------------------------------
a³ + b³ = (a + b)(a² - ab + b²) ← substitute values
a³ + b³ = 7 × 13 = 91
. A salesman sold 300 bags of maize to a retailer at Kshs .2000 each .He was given a commission of 3%.The salesman allowed a discount of 0.2% on the maize sold. This discount was deducted from his commission. (a) Calculate (i) The discount allowed
Answer:
The discount allowed per bag is kshs 4
while the discount allowed on all the 300 bags is kshs 1,200
Step-by-step explanation:
Here, we are interested in calculating the discount allowed on the sales of the bag of maize.
From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.
Now, to find the amount of this, we proceed as follows;
What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.
The discount on each bag of maize would be;
0.2% of kshs 2000
That would be;
0.2/100 * 2,000 = 400/100 = kshs 4
Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200
please help me answer this in variable terms and constant terms -5.6x + 7 + 24y - 9
Answer:
Variable terms:
x and y
Constant terms:
7 and -9
Coefficient terms:
-5.6 and 24
MATH QUESTION: Julie bought a bag of parsnips that weighed 4 2/7 pounds. She also bought a bag of turnips that weighed 1 1/3 times as much as the parsnips. How many pounds of turnips did Julie buy? Express your answer as a simplified mixed number.
Answer:
5 5/7
Step-by-step explanation:
Convert it to fractions:
30/7 and 4/3
Now multiply.
120/21
Simplify it:
5 5/7
At which times could rory phone have been plugged into the charger?select three options
Answer:
9hrs 11hrs 19hrs
Step-by-step explanation:
just took the quiz on edge 2020
Answer:
9 hours, 11 hours, 19 hours.
Correct answer gets brainliest and 5 stars
Answer:
B
Step-by-step explanation:
what is the equation for the table y=ab^x
Answer:
It is the equation for the table y=ab^x (b>1,and b≠1)
Step-by-step explanation:
How does the graph change between point A and point B?
5
4
3
B
А A
1
-2-1
6 7
8
X
-2
The graph increases
The graph decreases.
The graph remains constant.
The graph increases, then decreases.
Answer:
Step-by-step explanation:
A
Answer:
A
Step-by-step explanation:
Translate this phrase into an algebraic expression. Five more than the product of 8 and Vanessa's savings Use the variable v to represent Vanessa's savings.
Step-by-step explanation:
so, what's the difficulty ?
the product of two things means a multiplication. something times something else.
the product of 8 and Vanessa's savings is therefore expressed as ("×" is the multiplication symbol)
8 × v
and five more than that means just to add 5 to that.
so, in total, we have
8 × v + 5
remember that multiplications and divisions must be executed before any +/- operations (except for any brackets telling us otherwise).
Help!!! please!!! Confused!
The Three Stooges are having a pie eating contest. In 3 hours, Moe can eat 36 pies, Larry can eat 30, and Curly can eat 60. How many hours does it take them to eat 126 pies?
Answer:
3 hours
the information states in 3 hours they eat 36+30+60 = 126 pies.
Answer:
Altogether, the three stooges will consume 126 pies in three hours.
Step-by-step explanation:
1. In one hour, the three stooges can eat their total divided by three: Moe can eat 12 in one hour, Larry can eat 10 in one hour, and Curly can eat 20 in one hour. Therefore, the three stooges can eat 42 pies in one hour altogether. So, we have the equation 126 = 42h where h = the number of hours. Solving for 126 gives us 126/42 = h. h = 3. The three stooges can eat 126 pies in three hours.
Plssss help me with this question!!!!
[tex]\\ \sf\longmapsto x+14+x=32[/tex]
[tex]\\ \sf\longmapsto 2x+14=32[/tex]
[tex]\\ \sf\longmapsto 2x=32-14[/tex]
[tex]\\ \sf\longmapsto 2x=18[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{18}{2}[/tex]
[tex]\\ \sf\longmapsto x=9[/tex]
the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the tower
Answer:
30.51 meters
Step-by-step explanation:
Given that:
The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.
According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°
Also let the distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B
To find B, since the angle between the height of the tower and the base is 90°, we use:
B + 36° + 90° = 180° (sum of angles in a triangle)
B + 126 = 180
B = 180 - 126
B = 54°
Therefore using sine rule:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters[/tex]
The height of the tower is 30.51 meters
what do anthropologist study and why
Answer:
Anthropologists study human societies and cultures and the development of them from the past and present. They study this to analyze the differences and evolutions that us as humans have.
What is the measure of angle B?
Answer:
b = 60
Step-by-step explanation:
The sum of the angles of a triangle are 180
80+40+b = 180
Combine like terms
120+b =180
Subtract 120 from each side
b = 180-120
b = 60
Answer:
60°
Step-by-step explanation:
Recall that all triangles have an interior angle sum of 180. In other words:
[tex]\angle A+\angle B +\angle C = 180[/tex]
Plug in the angle values we know:
[tex](80)+(40)+\angle B = 180\\120+\angle B =180\\\angle B = 60\textdegree[/tex]
What rational number, when multiplied by an irrational number, has a product that is a rational number? (1 point)
оооо
Answer:
It's 0Step-by-step explanation:
Why?
Because if you multiplied any irrational number by 0 will be equal to 0 and 0 is rational number.
For example, 5.6371...... x 0 = 0
Slope -1/4, passes through (12,-4)
Answer:
y = - [tex]\frac{1}{4}[/tex] x - 1
Step-by-step explanation:
Assuming you require the equation of the line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{4}[/tex] , then
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute (12, - 4) into the partial equation
- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1
y = - [tex]\frac{1}{4}[/tex] x - 1 ← equation of line
The value of G for a one-piece 30° x 60° angle iron bracket is 1'/4 inches, and the width of the angle iron is 2 inches. What is the thickness of the metal, in inches? A. 31/4 inches B. 3/4 inch C. 21/2 inches D. 1/4 inch
Answerb
Step-by-step explanation:
yeal
Your best friend made 60% of the 40 shots he took. how many shots did your friend make?
Answer:
24
Step-by-step explanation:
We need to find 60% of 40
60% * 40
.60 *40
24
He makes 24 shots
Step-by-step explanation:
60%/100%×40
60%/10%×4 (0 is cancelled)
6×4 (60 and 10 Cancelled)
24 Answer
help me guys! 50 points!
Answer:
The volume of the irregular figure would be 144 [tex]cm^3[/tex].
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 [tex]cm^3[/tex], and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 [tex]cm^3[/tex]. So the volume of the entire irregular figure would be 108 + 36 = 144 [tex]cm^3[/tex].
Answer:
144 cm^3
Step-by-step explanation:
Large rectangle:
12 × 3 × 3 = 36 × 3 = 108
Small rectangle:
7 - 3 = 4
4 × 3 × 3 = 12 × 3 = 36
Both:
36 + 108 = 144
Hope this helped.
A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds find the car acceleration
Answer:
acceleration [tex]\approx 2.78\,\,\frac{m}{s^2}[/tex]
Step-by-step explanation:
The acceleration is the change in velocity per unit of time.
Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:
[tex]70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}[/tex]
so in this case the acceleration becomes:
[tex]accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}[/tex]
factorize
please
help
me
[tex]a {}^{2} - 4b {}^{4} [/tex]
Answer:
[tex](a+2b^{2} )(a-2b^2)[/tex]
Step-by-step explanation:
You have what is called "perfect squares" so you can use the "difference of squares formula to factor:
[tex]a^2-b^2=(a+b)(a-b)[/tex]
So,
[tex]a^2-(2b^2)^2[/tex]
you can work the equation backward now and you will get your original equation.
how many 6-digit numbers can be created using8, 0, 1, 3, 7, and 5 if each number is used only once?
Answer:
600 numbers
Step-by-step explanation:
For six-digit numbers, we need to use all digits 8,0,1,3,7,5 each once.
However, 0 cannot be used as the first digit, because it would make a 5-digit number.
Therefore
there are 5 choices for the first digit (exclude 0)
there are 5 choices for the first digit (include 0)
there are 4 choices for the first digit
there are 3 choices for the first digit
there are 2 choices for the first digit
there are 1 choices for the first digit
for a total of 5*5*4*3*2*1 = 600 numbers
Write the equation for the line that passes through the points (4, 5) and
(6,9). *
O y = 2x-3
O y = 0.5x - 3
O y = 0.5x + 6
O y = 2x + 6
None of the Above
Answer:
Step-by-step explanation:
(9-5)/6-4)= 4/2= 2
y - 5 = 2(x - 4)
y - 5 = 2x - 8
y = 2x - 3 is the solution
Answer:
the answer is y = –2x – 5 hope this helps:) give brainliest if it does
Step-by-step explanation:
i got it right on edge
If each of the 4 shelves holds 14 movies, how many movies does Betty have on her shelving unit? Show your work.
Answer:
62
Step-by-step explanation:
4x + 6
4(14) + 6 (substituting x = 14)
56 + 6
62
Subtracting Fractions:
What’s 4 - 4/7 =
2.) 3 - 5/7 =
3.) 4 - 3/4 =
4.) 2 - 5/8 =
need help with this I’ll give brainlist!
Answer:
[tex]4 - \frac{4}{7} \\ \frac{4 \times 7 - 4}{7} \\ \frac{28 - 4}{7} \\ \frac{24}{7}
I hope it helped U
stay safe stay happy
Find the measure of angle A.
probably i think it is 22.5°
On what sum of money will the compound interest for 2 years at 8% p.a. will be ₹7448?
Answer:
Rs.6420
Step-by-step explanation:
we know that A=P(1+r/100)
7488=P(1+8/100)2
7488*10000/108*108=P
P=Rs.6420
Answer:
Principal=Rs.45000 ; And Amount=Rs.52488.
Step-by-step explanation:
For finding Principal i used the formula:[ x(1+8/100)^2-x] =C.I ( where x = P)
And for Amount : Sum of principal and interest.
Hope so, you liked my solution.