Answer:
45 years
Step-by-step explanation:
Let the sum be x and CI=2x
We know that
CI=P(1+100R)T
2x=x(1+100R) ^15
(1+100R)^15=2
Let m be the number of years.
Therefore,
x(1+100R)m=8x
(1+100R)m=23
(1+100R)m=[(1+100R)^15]3
From eqn(1)
(1+100R)m=(1+100R)45
On comparing both power, we get
m=45 years
The sum of Eric’s and Bob’s weights is 9 times the difference of their weights. The positive difference of their weights is also 240 pounds less than the sum. If Eric weighs less than Bob, find Bob’s weight.
Can you use the elimination method please? Thx
Answer:
150
Step-by-step explanation:
So I will shorten Eric, and Bob's names as E, and B.
So the equations are this
B-E = B+E - 240, E as Eric, and B as Bob, and this E+B=9(E-B)
Move the variables and you get
-2E =- 240
Just divide them both by -2
and E=120
So when we know the value of E we can just plug it into the 1st question
120+B=9B+1080
Moves the Variables and numbers to the other side
8B=1200
1200/8= 150
B=150
There is Bob's weight
draw three circles with centre 0 and the radii of 3cm, 5cm and 7cm respectively
Please answer URGENT
the first box measures 18 inches by 8 inches by 15 inches. the second box is 10 inches tall and the area of the base measures 196 inches square which box has a greater volume and by how much?
Answer:
Box 1 has the greater volume, by 200 in³
Step-by-step explanation:
The largest of two volumes can be found by computing each volume and comparing the results.
Box 1The volume is computed from dimensions by ...
V = LWH
V = (18 in)(8 in)(15 in) = 2160 in³
__
Box 2The volume is computed from area and height by ...
V = Bh . . . . . where B is the base area, and h is the height
V = (196 in²)(10 in) = 1960 in³
__
ComparisonThe units of the two volumes are the same, so we can decide which is larger by comparing the numbers. Box 1 has a volume that is more than 2000 in³, and Box 2 has a volume that is less than 2000 in³.
Box 1 has a greater volume
The amount by which the volume is greater can be found by subtracting the smaller volume from the larger:
2160 in³ -1960 in³ = 200 in³
Box 1 is larger by 200 in³
_____
Additional comment
The percentage by which Box 1 is larger than Box 2 can be found by multiplying 100% by the ratio of the difference to the Box 1 volume:
200/1960 × 100% ≈ 10.2%
Box 1 is about 10% larger than Box 2.
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :- We have given two boxes The dimensions of the first box is 18 inches ,8 inches and 15 inches The height of the second box is 10 inches whereas it's base area is 196 inches²To Find :- We have to compare the volume of both the boxes and then we have to tell which box has a greater volume and by how much ?Procedure to Solve :-Firstly, we will find the volume of both the boxes then we will compare the volume of both the boxes. Then, we will subtract the lesser volume with greater volume and hence, we got the answer.
Let's Begin :-According to the question :-
We have two boxes that is first box and second box. We have the dimensions of both the boxes that is ( 18 × 8 × 15 ) and ( 10 × 196 ) .From the dimensions, we can conclude that :-The given boxes are in the shape of cuboid.We know that,
Volume of cuboid
[tex]\bold{\pink{ = Length }}{\bold{\pink{\times{Breath}}}}{\bold{\pink{\times{Height }}}}[/tex]
Subsitute the required values,
For the first Box
Volume of first box
[tex]\sf{ = 18 }{\sf{\times{ 8 }}}{\sf{\times{15}}}[/tex]
[tex]\sf{ = 18 }{\sf{\times{ 120 }}}[/tex]
[tex]\bold{ = 2160 \:in.^{3}}[/tex]
Volume of Second box
[tex]\sf{ = 196 }{\sf{\times{ 10 }}}[/tex]
Base area of second box already included length and breath into it[tex]\bold{ = 1960\: in.^{3}}[/tex]
From Above
We can conclude that the first box has greater volume than the volume of second box NowWe have to find , By how much the volume of first box is greater than the volume of second box
Therefore,
Volume of First Box - Volume of second box
[tex]\sf{ = 2160 - 1960}[/tex]
[tex]\bold{ = 200\: in.^{3}}[/tex]
Hence, The volume of first box is greater than second box by 200 in.³
The price of an item has been reduced by 60%. The original price was $34.
Use the ALEKS calculator to find the price of the item now.
Answer:
$13.60 cents
Step-by-step explanation:
Given the following question:
60% of 34
In order to find the answer, we will use the formula to calculate percentages to find 60% of 34. Once we find that answer we will subtract it from the initial amount.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{60\times34}{100} =60\times34=2040\div100=20.4[/tex]
[tex]=20.40[/tex]
Now subtract:
[tex]34-20.40=13.60[/tex]
[tex]=13.60[/tex]
After a 60% discount the item will cost "$13.60 cents."
Hope this helps.
a downtown parking lot charges $5 per hour
Parking charges for first 2hours =$5 per hour after 2 hours parking charges = $2.50per hour
Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 4, 8, 10. Column 2 is labeled y with entries 0, 0.5, 1, 1.25.
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 5, 10, 12.5. Column 2 is labeled y with entries 0, 4, 8, 10.
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 4, 8, 10. Column 2 is labeled y with entries 0.8, 0.8, 0.8, 0.8.
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 5, 10, 12.5. Column 2 is labeled y with entries 0.8, 10.8, 20.8, 25.8.
Answer:
Column #1 - 0,5,10,12.5
Column #2 - 0.8
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i got it right on edge 2022
Solve multi-step equations with various solution sets (7th grade):
6x + 4 = 2(3x - 5)
Answer:
X =0
Step-by-step explanation:
6x + 4 = 6x-10
6x - 6x = -10 - 4
0 ≠ -14
The scatter plot shows the relationship between the number of years an employee has work and the annual salary of that employee.
(Scatter plot picture is above)
1. The slope of the line is ___.
2. The intercept of the line is __.
3. The regression equation is y=__+__x.
Answer:
Step-by-step explanation:
he test scores of the students in four classes are summarized below. Answer the questions about them.
Class A: The mean score is 123 and the range of scores is 26.
Class B: The mean score is 115 and the range of scores is 32.
Class C: The mean score is 114 and the range of scores is 28.
Class D: The mean score is 120 and the range of scores is 34.
(a) Based on the information above, which class has the lowest scores on average?
Class A
Class B
Class C
Class D
(b) Based on the information above, which class's scores have the most variability?
Class A
Class B
Class C
Class D
Answer:
A.) would be class C. B.) Would be class D.
Class C has the lowest mean score out of them all meaning it has to have the lowest score. And Class D has the most range of scores meaning it has to have more variabitlity.
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
How many hours between 7:30 and 14:30
Answer:
7
Step-by-step explanation:
You can think of it as counting normally in a way where you can go
7:30 then add an hour to get 8:30 and so on until you hit 14. The better way of doing this using this is to just subtract the hours if the minutes are the same.
Tom is going to USA on holiday. he changes £500 to U.S dollar. the exchange rate is £1=$1. 51. how much dollar will he get
500 x 1.51
=$755
∴ He will get $755.
Which of the following values are zeros for the function below? Select all that apply.
g(x) = (x2 + 4x – 12)(x – 3)
Answer:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replacey with 0 and solve for x.
x=2,−6,3
Step-by-step explanation:
SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16. SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.
Answer:
Step-by-step explanation:
f(x) = x⁴ - 8x² + 16
f'(x) = 4x³ - 16x = 4(x³ - 4x) = 4x(x² - 4) = 4x(x - 2)(x + 2)
f'(x) = 0, x = 2, -2
f"(x) = 4(3x² - 4)
f''(0) = -16 < 0, f""(2) = f''(-2) 3(12 - 4) > 0
so f(2) and f(-2) are minimum values
f(0) is maximum value.
f(0) = 16, f(2) = f(-2) = 2⁴ - 8*2² + 16 = 0
Maximum = 16, minimum value = 0
-∞ < x < -2, f'(x) < 0
-2 < x < 0, f'(x) > 0
0 < x < 2, f'(x) < 0
2 < x < ∞, f(x) > 0
increase: (-2, 0) and (2, ∞)
decrease: (-∞, -2) and (0, 2)
For any positive integer n, let n~ be defined by n~ = 2n(n+1). What is the value of 8~/2~ ?
We are given that [tex]{\bf{\tilde{n}=2n(n+1)\:\: \forall \:\: n\in \mathbb{N}}}[/tex] and need to find the value of [tex]{\bf{\dfrac{\tilde{8}}{\tilde{2}}}}[/tex] . Now , let's find it ;
[tex]{:\implies \quad \sf \dfrac{\tilde{8}}{\tilde{2}}=\dfrac{2\times 8(8+1)}{2\times 2(2+1)}}[/tex]
[tex]{:\implies \quad \sf \dfrac{\tilde{8}}{\tilde{2}}=\dfrac{\cancel{2}\times 8(9)}{\cancel{2}\times 2(3)}}[/tex]
[tex]{:\implies \quad \sf \dfrac{\tilde{8}}{\tilde{2}}=\dfrac{8(9)}{2(3)}}[/tex]
[tex]{:\implies \quad \sf \dfrac{\tilde{8}}{\tilde{2}}=\dfrac{2\times 4\times 3\times 3}{2\times 3}}[/tex]
Cancelling 2 and 3 from denominator
[tex]{:\implies \quad \sf \dfrac{\tilde{8}}{\tilde{2}}=4\times 3}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\dfrac{\tilde{8}}{\tilde{2}}=12}}}[/tex]
Given the transformation, [tex]\~n[/tex] = 2n(n+1), on applying the solution is [tex]\frac{\~8}{\~2} = 12[/tex].
A transformation is any form of change. When one variable is given as a function of another variable, we say that the latter is transformed. We can find the value of corresponding new variable by putting in values in the old variables.
Given,
[tex]\~n[/tex] = 2n(n+1)
Given,
when n = 8
[tex]\~8[/tex] = 2 * 8 * ( 8+1) = 2*8*9 = 144
when n = 2
[tex]\~2[/tex] = 2 * 2 * ( 2+1) = 2*2*3 = 12
Thus,
[tex]\frac{\~8}{\~2} =\frac{144}{12} = 12[/tex]
Learn more about transformation here
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PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
I NEED HELP ASAP
Part A: The Grand Prismatic Spring in Yellowstone discharges 8,400 gallons of water at a rate of 560 gallons a minute. Using m for minutes, write an equation that represents this situation.
Part B: video (0:28-0:43) Using the equation you wrote in Part A, how many minutes does it take for 8,400 gallons of water to discharge? Use 1-2 sentences to explain your answer.
Part C: video (0:28-0:43) How many gallons of water are left in the Spring after 7 minutes? Use 1-2 sentences to explain how you determined this amount.
Part D: video (0:44-1:17) Using the Mohs scale of hardness as outlined in the video, if Feldspar is three times as hard as cardboard,c, write an equation and solve to find the hardness scale of cardboard. Use 1-2 sentences to explain the hardness scale of cardboard and how it relates to Feldspar.
a) The equation [tex]V(m) = 8400 - 560\cdot m[/tex] represents the discharge of the Grand Prismatic Spring.
b) The discharge of the Grand Prismatic Spring takes 15 minutes.
c) The remaining quantity after 7 minutes is 4480 gallons.
d) The hardness of cardboard is 2.
How to apply concepts of linear functions
a) In this case, the volume of water ([tex]V[/tex]), in gallons, decreases linearly in time ([tex]m[/tex]), in minutes. Then, we could model the situation by using the following expression:
[tex]V(m) = V_{o} - \dot V \cdot m[/tex] (1)
Where:
[tex]V_{o}[/tex] - Initial volume, in gallons.[tex]\dot V[/tex] - Discharge rate, in gallons per minute.If we know that [tex]V_{o} = 8400\,gal[/tex] and [tex]\dot V = 560\,\frac{gal}{min}[/tex], then the volume of the Grand Prismatic Spring is represented by this expression:
[tex]V(m) = 8400 - 560\cdot m[/tex] (2)
The equation [tex]V(m) = 8400 - 560\cdot m[/tex] represents the discharge of the Grand Prismatic Spring. [tex]\blacksquare[/tex]
b) By (1) and [tex]V(m) = 0[/tex] we find the time required for discharge:
[tex]m = \frac{0 - 8400}{-560}[/tex]
[tex]m = 15\,min[/tex]
The discharge of the Grand Prismatic Spring takes 15 minutes. [tex]\blacksquare[/tex]
c) The quantity of gallons remaining is found by evaluating the function for [tex]m = 7[/tex]:
[tex]V(7) = 8400 - 560\cdot (7)[/tex]
[tex]V(7) = 4480\,gal[/tex]
The remaining quantity after 7 minutes is 4480 gallons. [tex]\blacksquare[/tex]
d) According to Mohs scale, the hardness of feldspar is 6. The statement indicates the following relationship, as there is a constant relationship between both hardnesses:
[tex]y = 3\cdot x[/tex] (3)
Where:
[tex]x[/tex] - Hardness of cardboard.[tex]y[/tex] - Hardness of feldspar.
If we know that [tex]y = 6[/tex], then the hardness of cardboard is:
[tex]x = \frac{6}{3}[/tex]
[tex]x = 2[/tex]
The hardness of cardboard is 2. [tex]\blacksquare[/tex]
To learn more on linear functions, we kindly invite to check this verified question: https://brainly.com/question/17058347
An audio cable is 14.5 dm long. How long is the cable in meters?
I'm confused please help me
Answer:
11.25
Step-by-step explanation:
75% × 15 = (75/100) × 15 = 11.25
What is the value of x?
Enter your answer in the box
So there are two angles given in equation I.e :-
(2x + 2)° (3x - 52)°And we have to find :-
value of xSolution:-
↬ 2x + 2 = 3x - 52
Reason:-
VOA (Vertically opposite angles)
How to recognize when angles are in voa aka Vertically opposite angles?
it's really easy by the way. when ever there a multiplication sign ( × ) either parallely or horizontally , then the opposite angles formed by them are always equal.
↬2x = 3x - 52 - 2
↬2x = 3x - 54
↬2x - 3x = - 54
↬ - x = - 54
↬ x = 54°
Now Let's Verify:
⇢ 2x + 2 = 3x - 52
put the value of x in the equation
⇢ 2(54) + 2 = 3(54) - 52
⇢ 2 × 54 + 2 = 3(54) - 52
⇢ 108 + 2 = 3(54) - 52
⇢ 110 = 3(54) - 52
⇢ 110 = 3 × 54 - 52
⇢ 110 = 162 - 52
⇢ 110 = 110
LHS = RHS
Hence verified!
______________________♡~
Required Answer:-
x = 54°
The value of x from the figure is 54
Vertically opposite anglesThe given angles are vertical angles showing that they are equal. Hence;
2x + 2 = 3x - 52
Collect the like terms
2x - 3x = -52-2
-x = -54
x = 54
HEnce the value of x from the figure is 54
Learn more on vertical angles here; https://brainly.com/question/1673457
Will give brainliest for correct answer.
Answer:
16.00 cm
Step-by-step explanation:
r = 13 m,
Surface area A = 2πrh + 2πr² = 2πr (h + r)
2,285.92 =2*3.14*13 (13 + h)
2,285.92 = 81.64 (13 + h)
13 + h = 2,285.92/81.64 = 28.00
so h = 28.00 - 12 = 16.00 cm
what is the area of rectangle A (0,-1) B(0,4) C(4,4) D(0.-1)
Answer:
20 square units
Step-by-step explanation:
Point D should be D(4, -1) if a rectangle is to be formed. A picture is attached to this answer.
The rectangle's dimensions are 4 by 5, so it's area is 4 x 5 = 20 square units. The picture is small enough that you could even just count squares inside the rectangle!
Find the distance between the points (0,15) and (8,0).
Answer:
the distance i believe between the points are
(1,1) , (3,3)
(7,9) , (0,3)
(1,2) , ( 3,9)
Step-by-step explanation:
which equation represents a linear function ??
Answer:
4x=3(y-1)
Step-by-step explanation:
A linear function is a function whose graph is a straight line. The other three are exponential functions and rational functions.
substituting 3 we get an equation like this
4x=3y-3
Please help me!!!!!!!!!!
Answer:
C
Step-by-step explanation:
because of duplicate values for x
please help will mark brainlist!!
Answer:
C) [tex]|-54.2| < |-58.6| < 5.745 \times 10^2[/tex]
Step-by-step explanation:
[tex]|-54.2| = 54.2[/tex]
[tex]|-58.6| =58.6[/tex]
[tex]5.745 \times 10^2=574.5[/tex]
< means "is less than"
Therefore, 54.2 < 58.6 < 574.5
Which ordered pair could be removed to make this relation a function?
Answer: Tell me what the relation is and I’ll solve.
Step-by-step explanation:
I count on in equal steps
My first number is -2. my fifth number is 26.
-2
26
What is my third number?
Step-by-step explanation:
equal steps.
so, starting at -2 the fifth number (= after the 4th step) is 26.
so, the interval is 26 - -2 = 28 long.
28/4 = 7
so, each step is 7 long.
the third number is after the second step, that means after adding 2×7 = 14
-2 + 14 = 12
12 is the third number.
What is the area of this figure
Answer:
sum of all side
8+22+6+8+8+17+5+5+13+4
100 is the area of this figure
Step-by-step explanation:
please mark me brainleat
Please help me this is due today!!!
Freemore High School is starting a girls volleyball team. There are 10 girls that have been selected for the team. Only 6 girls can be on the court at one time in positions 1, 2, 3, 4, 5, and 6. How many different arrangements of the girls' volleyball team are possible?
Answer:
210 different arrangements
Step-by-step explanation:
We can use a formula to solve this problem.
Since there are only 6 positions, we are "picking 6 from a group of 10"
-> For 6! we do 6*5*4*3*2*1, etc.
10!/(6! * (10-6)!)
10!/(6! * (4)!)
10!/(6! * (4)!)
10!/17,280
3,628,800/17,280
210 different arrangements
