Answers
This value is 52 million.
===================================================
Explanation:
During the first year, the well produced 50,000 quarts of water per week. Since there are 52 weeks in a year, the well produced 52*50,000 = 2,600,000 quarts in total for that first year alone. This is the initial value 'a'.
The common ratio is r = 1 - 0.05 = 0.95
So we have a geometric sequence with starting term a = 2,600,000 and common ratio r = 0.95
Since -1 < r < 1 is true, we can use the infinite geometric series formula as shown below.
S = a/(1 - r)
S = (2,600,000)/(1-0.95)
S = 52,000,000
S = 5.2 * 10^7 which is choice D
Related Questions
If a state issued license plates using the scheme of two letters followed by four digits, how many plates could it issue?
Answers
Answer:
Combining these results, it follows that there are 676 x 1000 = 676,000 different license plates possible.
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
PLEASE GIVE EXPLANATION
Answers
Answer:
Yo it's A
Step-by-step explanation:
An infinite sequence is one that goes on forever, in this case it's the one with the "..." at the end because that is what shows that the sequence is infinite
There are two infinite sequences, and you just have to figure out which one is an arithmetic sequence. An arithmetic sequence is one that subtracts or adds the same number every time to the previous number.
Out of the two infinite sequence choices, it's obviously not B because you aren't subtracting or adding the same number every time
It's A because you add 122 every time and it goes on forever.
hope this helps lol
Please answer this, I need help asap
Answers
Answer:
Final solution is ---> 17
See attached picture for step-by-step explanation
Answer:
17
Step-by-step explanation:
A fraction bar is like parentheses
Complete the items above and below it first
43-1
------- + 10
4+2
42
----- + 10
6
Then divide
7+10
Then add
17
Triangle ABC is a right triangle.
Triangle A B C. Angle A is x degrees, B is 90 degrees, C is (x minus 10) degrees. The exterior angle to angle C is (2 x + 40) degrees.
Which equations can be used to find the value of x? Check all that apply.
x + 90 + (x minus 10) = 180
x + 90 + (2 x + 40) = 180
2 x + 80 = 180
x + 90 = 2 x + 40
(x minus 10) + 90 = 2 x + 40
Answers
Answer:
x + 90 + (x minus 10)= 180° can be used to find the value of x.
Answer:
A) X+90+ (x-10) - 180
C) 2x+80 = 180
D) x+90 = 2x+40
Step-by-step explanation:
The graph represents a functional relationship.
Which value is an input of the function?
Iy
8
0-14
6
0-2
4
.
0 0
2
4
2
4
8 10 12 14 16 18
Х
-2
-6
-B
-10
-12
-14
Answers
I hope this helps I’m sorry if it’s wrong
By analyzing the graph we conclude that the value that is an input is x = 4.
Which value is an input of the function?
For the inputs, we need to look at the horizontal axis. In the graph we can see a closed dot at x > 0 (we can't see the exact value).
This means that the minimum of the domain is positive.
From that, we conclude that the only correct option, that we can be sure that belongs to the domain (set of the inputs), is x = 4, the third option.
If you want to learn about domains:
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Sailor Shettal
The Midpoint Formula
Aug 04, 1:31:11 PM
?
Find the midpoint of the segment with the following endpoints.
(10,5) and (6,9)
+-
Answer:
Submit Answer
attempt 1 out of 2
PLS HELP ASAP
Answers
Answer:
(8,7)
Step-by-step explanation:
To find the x coordinate of the midpoint
Add the x coordinates of the endpoints and divide by 2
(10+6)/2 = 16/2 = 8
To find the y coordinate of the midpoint
Add the y coordinates of the endpoints and divide by 2
(5+9)/2 = 14/2 = 7
The coordinate of the midpoint is (8,7)
4) If x/y = 7/3 then find the value of
[tex]3x ^{2} + 2y^{2} \3x^{2} - 2y {}^{2} [/tex]
Answers
Answer:
1011
Step-by-step explanation:
3x^2 + 2y^2 x^2 - 2y^2
3(7)^2 + 2(3)^2 3^2 - 2(7)^2
3(7^2 + 2 x 3 x 7^2 - 2 x 3)
3(7^2 +6 x 7^2 - 6)
3(7 x 7^2 - 6)
3(7^3 - 6)
3(343 - 6)
3(337) = 1011
A man invested ksh. 36000 in two companies P and Q . Company P pays a dividend of 11.25% while Q pays a dividend of 10.5%. Is from his total investment, he obtained a return of 10.75%,how much did he invest in each company?
Answers
Answer:
Investment in company P = 12,000
Investment in company Q = 24,000
Step-by-step explanation:
Given that,
Total investment = 36,000
Dividend paid by company P = 11.25%
Dividend paid by company Q = 10.5%
Total return = 10.75%
Now, let investment made in company P be 'a' and company 'Q' be 'b.' So,
A.T.Q.
a + b = 36,000 ...(i)
11.25% of a + 10.5% of b = 10.75% of 36000 ...(ii)
On simplification,
a + b = 36,000
11.25% of a + 10.5% of b = 3870
Now,
11.25% of a + 10.5% of (36000 - a) = 3870
⇒ 0.1125 * a + 0.105 * (36000 - a) = 3870
⇒ 0.1125 a + 3780 - 0.105a = 3870
⇒ 0.1125a - 0.105 a - 3870 - 3780
⇒ 0.0075 a = 90
⇒ a = 90/0.0075
∵ a = 12000
Since, a = P = 12,000
Q = b = (36000 - a)
= 36000 - 12000
= 24,000
Thus,
Investment in company P = 12,000
Investment in company Q = 24,000
Answer:
Amount invested in P = 12,000
Amount invested in Q = 24,000
Step-by-step explanation:
Given:
Amount invested = 36,000 in two companies P and Q
P pays dividend = 11.25%
Q pays dividend = 10.5%
Total return = 10.75%
Find:
Amount invested in each company
Computation:
Total return = 36,000 x 10.75
Total return = 3870
Assume;
Amount invested in P = a
So,
Return in P = a x 11.25%
Return in P = 0.1125a
Return in Q = [36000 - a]10.5%
Return in Q = 3,780 - 0.105a
Total return = Return in P + Return in Q
3,870 = 0.1125a + 3,780 - 0.105a
90 = 0.0075a
a = 12,000
Amount invested in P = 12,000
Amount invested in Q = 36,000 - 12,000
Amount invested in Q = 24,000
Watch help video
Which value of x satisfies the equation
Answers
Answer:
-1
Step-by-step explanation:
1.25(x+1.5)=0.625
(x+1.5)=0.5
x=-1
Please help! I don’t get it much
Answers
9514 1404 393
Answer:
∠BDC = 46°
Step-by-step explanation:
Angle BDC intercepts arc BC, identified as having a measure of 92°. The angle's vertex, point D, is on the circle, so the angle is called an "inscribed angle." The measure of an inscribed angle is half the measure of the arc it intercepts.
∠BDC = (1/2)arc BC = 1/2(92°)
∠BDC = 46°
Find the value of 9x + 4y, when x = 4 and y = -3.
Answers
Answer:
hope found the answers bye.
Step-by-step explanation:
9x + 4y - 4 = 0
Putting in the x-value of -1, we get:
9(-1) + 4y - 4 = 0
Simplifying:
-9 + 4y - 4 = 0
Combining the -9 and the -4:
4y - 13 = 0
Getting rid of the -13 by adding 13 to both sides:
4y - 13 + 13 = 0 + 13
4y = 13
Dividing both sides by 4:
y = 13/4
Checking: Is 9(-1) +4(13/4) -4 really zero? Yes!
9x4+4x-3
36+-12=24
answer=24
A rectangular bathroom mirror has a perimeter of 22 feet. Its area is 18 square feet. What are the dimensions of the mirror?
Answers
Answer:
The dimensions of the mirror is 9 feet and 2 feet
Step-by-step explanation:
Keep in mind that the area and perimeter of a rectangle is:
Area - length x width
Perimeter - 2 (l + w)
List the factors of 18 (the area of the mirror):
1, 2, 3, 6, 9, 18
POSSIBLE DIMENSIONS OF MIRROR:
1 ft and 18 ft
Area = 18 ft^2
Perimeter = 38 feet
2 ft and 9 ft
Area = 18 ft^2
Perimeter = 22 feet
3 ft and 6 ft
Perimeter = 18 feet
The rectangle with dimensions 2 feet and 9 feet corresponds with the area and perimeter of the mirror mentioned. So those are the correct dimensions.
Hope these helps!
If ABC - AZXY, mZA = 50, and mZC = 30,
what is mZX?
Answers
Let it be x
Using angle sum theory
[tex]\\ \sf\longmapsto 50+30+x=180[/tex]
[tex]\\ \sf\longmapsto 80+x=180[/tex]
[tex]\\ \sf\longmapsto x=180-80[/tex]
[tex]\\ \sf\longmapsto x=100[/tex]
#What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?
Discriminant = b2 – 4ac
–8
4
8
16
Answers
Answer:
16
Step-by-step explanation:
the quadratic equation –3 = –x2 + 2x can be changed into :
x²-2x-3= 0
a=1, b= -2 , and c = -3
so, the discriminant = (-2)²-4(1)(-3)
= 4 + 12 = 16
x+1=0
Giải hộ em với
Answers
Answer:
x = -1
Step-by-step explanation:
-Subtract 1 from both sides of the equation
x + 1 = 0
x + 1 - 1 = 0 - 1
-simplify
x = -1
In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?
Answers
Answer:
9
Step-by-step explanation:
6x=2*x*(a number), (a number)^2=the number we need. A number=3, the number is 3^2=9
Andrew has a coupon for 20 % off of the price of any CD. If he purchases a CD originally priced at $16, what will the discounted price be?
Solve the above problem by using decimals.
Answers
Answer:
If you want to turn a percentage into a fraction divide by 100:
20%/100 = 0.2
0.2*16 = 3.2$
and if you want to turn a decimal into a fraction multiply by 100.
His discounted price will be 3.2$.
Have a nice day! :-)
and if you have questions please ask!
Percentage is the part of a whole given as a fraction of the hundred. The discounted price of the CD is $12.8.
Given information-
Andrew has a coupon for 20 % off of the price of any CD.
The price of the CD purchased by the Andrew is $16.
PercentagePercentage is the part of a whole given as a fraction of the hundred.
As the Andrew has a coupon of 20 percent, the 20 percent will be off whatever he buys. Now the discount price for the $16 priced CD is equal to the 20 percent of the 16. Thus the discount is,
[tex]d=\dfrac{16\times20}{100} \\ [/tex]
[tex]d=3.2[/tex]
Thus the discount on the CD is 3.2.
Now the discounted price of the CD is equal to the difference of the price of the CD and the discount. Thus the discounted price of the CD is,
[tex]P=16-3.2[/tex]
[tex]P=12.8[/tex]
Thus the discounted price of the CD is $12.8.
Learn more about the percentage here;
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Which is the answer ?
Answers
c는 답이다
[tex]x \sqrt[7]{ {x}^{2} } \\ = c \: is \: the \: answer[/tex]
Answer hurry which one 1 2 3 or 4?
Answers
Answer:
Option: 1Step-by-step explanation:
Let,
Footprints that Adele will find be = f
So, Footprints that Yumiko finds = 2f = f + f
Since,
As given that,
Yumiko finds 16 Footprints so it will be,
2f = f + f = 16
And,
f = 16 / 2
= 8
Which is half of Footprints found by Yumiko.
So the bar model 1 represents it correct.
Answer:
option 1
Step-by-step explanation:
i did the quiz
please help ! pick two answers
Answers
Answer:
B and C
Step-by-step explanation:
25% of 60 = 15
B. 25/100*60 = 15
C. 0.25*60 = 15
(a+b)² = a²+2ab+b² prove that.
Answers
Answer:
see explanation
Step-by-step explanation:
(a + b)²
= (a + b)(a + b)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a + b) + b(a + b) ← distribute parenthesis
= a² + ab + ab + b² ← collect like terms
= a² + 2ab + b²
Answer:
(a+b) is squared which means (a+b)(a+b)
Lets prove it
= (a+b)(a+b)
= a(a+b) + b(a+b) (Here a will mutiply by (a+b) and b will mutiply with (a+b)
= a²+ab + ab + b²
= a²+ 2ab + b²
Hence proved (a+b)² = a²+ 2ab + b²
please click thanks and mark brainliest if you like :)
The shape of the sign outside Bob's Burger Barn is a regular octagon. How many degrees are in the measure of an interior angle of this sign?
Answers
Answer:
An octagon has eight interior angles.
Interior angle total sum = (n-2) x 180, where n = number of sides.
Since an octagon has 8 sides, we have:
6 x 180 / 8, which is 135.
The answer is 135.
Let me know if this helps!
using appropriate properties , find 7/5 × 5/12 − 3/12 × 7/5 − 1/15
Answers
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]
need help asap pls !
Answers
Answer:
L={∅}
Step-by-step explanation:
A plank 6m long leans against a vertical wall so that the foot of the plank is 4m away from the wall. A lizard climbs 2m up the plank. Calculate the horizontal distance between the lizard and the wall.
Answers
Answer: [tex]\dfrac{8}{3}\ m[/tex]
Step-by-step explanation:
Given
Length of the plank is [tex]6\ m[/tex]
Foot of the flank is [tex]4\ m[/tex] away from the wall
Lizard climbs 2 m up the wall
from the figure, the two triangles are similar
[tex]\therefore \dfrac{2}{6}=\dfrac{x}{4}\\\\\Rightarrow x=4\times \dfrac{2}{6}\\\\\Rightarrow x=\dfrac{4}{3}\ m[/tex]
So, the distance from the wall is
[tex]\Rightarrow 4-x\\\\\Rightarrow 4-\dfrac{4}{3}\\\\\Rightarrow \dfrac{8}{3}\ m[/tex]
Complete the table for the given rule.
Rule: y=2x
Answers
5 - 10
1 - 2
Work —
First line:
y = 2 (9)
y = 18
Second line:
10 = 2x
5 = x
Third line:
y = 2 (1)
y = 2
Answer:
1. y=18
2. x=5
3. y=2
Step-by-step explanation:
y=2x
1.
As you have x, substitute (replace) x for 9 to find y.
2×9=18 (We times 2 by 9 because, in algebra, when a number is next to a letter, it means to times).
So, y=18
2.
As we know that y=10, do the same thing and substitute.
10=2x
Isolate x by dividing:
10÷2=5
So, x=5
3.
Substitute x:
2×1=2
So, y=2
Hope this helps :)
write an equation for a line parallel to: y = -3x + 2.
Answers
Answer:
y = 1/3x + 2
Step-by-step explanation:
Monica makes tomato sauce with the plants she grows in her garden. She uses 3 basil leaves in her sauce for every 8 tomatoes. She is making a big batch of sauce with 32 tomatoes from her garden.
Answers
Answer: 12 Basil leaves
Step-by-step explanation:
Given
Monica uses 3 basil leaves for every 8 tomatoes
For 32 tomatoes she needs
[tex]\Rightarrow 3\ \text{basil leaves}\equiv8\ \text{Tomatoes}\\\\\Rightarrow 4\times 3\ \text{basil leaves}\equiv4\times 8\ \text{Tomatoes}\\\\\Rightarrow 12\ \text{basil leaves}\equiv 32\ \text{Tomatoes}[/tex]
Thus, she needs 12 basil leaves.
DJVJNNSMKAJABJSHSNSB
Answers
HELP ME PLEASEEEE
TAXI RATES A New York City taxi charges $2.50, plus $.40 for each fifth of a
mile if it is not delayed by traffic. Write an expression for the cost of the ride
if you travel x miles in the taxi with no traffic delays.
Answers
Step-by-step explanation:
C(x) = 2.50 + 5(0.40x)
<=> C(x) = 2.50 + 2.00 x
The required expression for the taxi charges is C(x) = $2.50 + 0.4 * x/5.
Given that,
A New York City taxi charges $2.50, plus $.40 for each fifth of a
mile if it is not delayed by traffic. To determine an expression for the cost of the ride, if travel x miles in the taxi with no traffic delays to determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the number of miles be x,
The total charge be C(x)
Now accoding to the condition total charge could be the sum of the cost of every fifth mile and $2.40. So, every fifth mile = x / 5
Now,
C(x) = 2.40 + 0.40 * x/5
Thus, the required expression for the taxi charges is C(x) = $2.50 + 0.4 * x/5.
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