The annual water usage in rockport increases at a rate of 10% every year as the town gets bigger. this year, the town used 6,740 megaliters of water. in 7 years, how much water will be used annually?
if necessary, round your answer to the nearest hundredth.
4618 mega liters of water, in 7 years, will be used annually.
What is interest?Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.
here, we have,
I=PRT/100
=6740×10/100×7
=674×1×7
=4618
the nearest hundredth is a 4618 this is the answer.
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Answer:
13,134.35 megaliters
Step-by-step explanation:
Plug in 6,740 megaliters for the initial amount, 0.1 for the rate of increase, and 7 years for the time elapsed.
y
= a(1+r)t
y
= 6,740(1+0.1)7 Plug in values
y
= 6,740(1.1)7 Add
y
= 6,740(1.94871…) Simplify
y
= 13,134.35325… Multiply
Round to the nearest hundredth.
13,134.35325… → 13,134.35
To the nearest hundredth, Rockport will use 13,134.35 megaliters of water annually.
A car travelled a distance of 50km in an hour.what distance did it travel in 30min at the same speed?
1 hour = 60 minutes
Distance travelled in 60 minutes = 50 km
Distance travelled in 1 minute = 50/60
Distance travelled in 30 minutes = 50/60×30
50/60×30 = 25 km
OR
A car travelled 50 km in 60 minutes. For 30 minutes, half the distance that is 25 km.
plumber a charges an initial fee of $45 plus a rate of $60 per hour. Plumber B charges $225 flat. Explain how you would determine the number of hours it will take for both plumbers to charge the same amount? HELP IM TAKING A TEST!
Answer:
3 Hours
Step-by-step explanation:
Plumber A.
Initial fee: $45
Per Hour: $60
Plumber B.
Full rate: $225
To determine the number of hours it will take for both plumbers to charge the same amount you have to start with $45.
Then add 60$ every hour.
$45 + $60 = $105
$105 + $60 = $165
$165 + $60 = $225
Therefore, it takes 3 hours for them to charge the same rate.
A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme temperatures, he needs to check the weather continuously to make sure the gas in his truck remains in liquid form. The gas he uses freezes at −40° F and evaporates at 140° F. Part A: Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form. (2 points) Part B: Describe the graph of the inequality completely from Part A. Use terms such as open/closed circles and shading directions. Explain what the solutions to the inequality represent. (4 points) Part C: In January 1989, the temperature in Nome, Alaska dropped to −49° F. Would the gas in the driver's truck have remained in liquid form so he could have driven on this day? Why or why not? (4 points)
I need part b
Also I need it asap please and thanks
The answers to the options are:
The inequality that represent the temperatures is -40°F < x <140°FOpen interval −49° F is not in the interval of -40°F ad -140°F and as such, he cannot drive.What is the inequality of the temperature?This inequality is known tp imply that the normal body temperature is taken (subtracted) from the minimum and maximum body temperature.
Note that in case A, the The inequality that represent the temperatures is less than sign.
In case b, it is an open interval because it means that in -40°F to -140°F , it is not equal to as that is the reason that the gas cannot stay liquid.
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pls help me pls it's my homework
Answer:
i think its just water bro
11. Find the total surface area.
4 in.
6 in.
2 in.
Answer:
Appearantly, you forgot to mention the question
PLEASE ANSWER
What is the degree of the polynomial -2x²y² – ½ z?
- 1
- 2
- 4
- 6
What’s the answer for this?
Answer:2x
Step-by-step explanation:
pls answer ASAP
Lesson: Probability
Ty in advance
The probability can be calculated as given because there are a total of 52 cards.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of card = 52
Number of king of heart = 1
P(getting a king of hearts) = 1/52
P(getting a spade) = 13/52 = 1/4
P (getting a 5 or a club) = (16/52) = 4/13
P(getting a 5 or a 7) = 4/52 + 4/52 = 8/52 = 2/13
P(getting a card which is not a spade) = 1 - 1/4 = 3/4
P(getting 11 of clubs) = 1/52
Thus, the probability can be calculated as given because there are a total of 52 cards.
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Answer:
1. 1
2. 51
3. 7
4. 9
Step-by-step explanation:
hope i helped
The quadratic function graphed has a range of y 23.
O True
False
What is the remainder when f(x) = x³- 13x² + 40x + 18 is divided by x-7? Show your work.
Answer:
remainder = 4
Step-by-step explanation:
using the remainder theorem
when f(x) is divided by (x - a) then the remainder is f(a)
so when f(x) is divided by (x - 7) the remainder is f(7) , that is
f(7) = 7³ - 13(7)² + 40(7) + 18
= 343 - 13(49) + 280 + 18
= 343 - 637 + 298
= 4
Hence, the remainder is [tex]4[/tex].
What is the remainder value?
The remainder is the amount "left over" after performing some computation. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient.
Applying the remainder theorem
In general when [tex]f(x)[/tex] is divided by [tex](x - a)[/tex] then the remainder is [tex]f(a)[/tex].
So, here when [tex]f(x)[/tex] is divided by [tex](x - 7)[/tex] the remainder is [tex]f(7)[/tex], that is
[tex]f(7)=7^3-13(7)^3+40(7)+18\\=343-13(49)+280+18\\=343-637+298\\=4[/tex]
Hence, the remainder is [tex]4[/tex].
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Maria says the mean of the scores 7, 8, 3, 0, 2 is 5, because she added the scores and divided by 4. Is she correct? Explain why or why not.
Answer:
She is wrong.
Step-by-step explanation:
The mean score is
7 + 8 + 3 + 0 + 2= 20
We then divide it by the number which is 5
20/5= 4.
Therefore, Maria is wrong.
This is because she divided by 4 instead of 5, as she didn't include the rational number 0.
Craig went bowling with $25 to spend. he rented shoes for $5.00 and paid $4.00 for each game. What was the greatest number of games he could have played?
A. 5
B. 7
C. 6
D. 4
Answer: A
Step-by-step explanation:
Given:
Budget = $25
Shoes rental = $5.00
Price per game = $4.00
To find the greatest number of games he played...
↓
First, subtract the rent for the shoes from the budget.
25 - 5 = 20
Second, divide the remaining money or budget by the price per game.
20 ÷ 4 = 5 (greatest number of games played)
Lastly, check if the expense is the same as the original amount of money.
5 (shoes) + 4(5) (number of games played)
5 + 20 = 25 (original amount of money)
Hope it helps!!! Please mark as brainliest. Thank you :D
how do i do this could you show step by step please?
Answer:
x = 2
Step-by-step explanation:
This is a 45-45-90 special right triangle. The legs in this triangle are equal and the hypotenuse is leg multiplied with √2. Refer to the picture at the bottom.
One leg is x, the second leg is x and hypotenuse x√2.
[tex]x \sqrt{2} = 2 \sqrt{2} \\\\\text{Divide both sides with } \sqrt{2} \text{ to isolate } x.\\\frac{x \sqrt{2}}{\sqrt{2}} = \frac{2 \sqrt{2}}{\sqrt{2}}\\\\x = 2[/tex]
What is the probability that the spinner lands on an even number or on the unshaded section? one-fifth two-fifths three-fifths four-fifths
The probability that the spinner lands on an even number or on the unshaded section is; 3/5
How to find the probability?
From the spinner attached, we see that the number of sections on the spinner is 5 sections.
Now, we can also see that;
Number of even numbers section = 2
Number of shaded sections = 1
Thus, probability that the spinner lands on an even number or on the unshaded section is;
P(even number or unshaded section) = (2 + 1)/5 = 3/5
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You deposit $1600 in a bank account. Find the balance after 3 years for each of the
following situations:
The account pays 2.5% annual interest compounded monthly.
The account pays 1.75% annual interest compounded quarterly.
The account pays 4% annual interest compounded yearly.
What is the volume, in cubic inches, of a cube with an edge length of 12 inch? Explain or show your reasoning.
Answer:
1,728
Step-by-step explanation:
v = a³
v = 12³
v = 1,728 in³
Please Help I Don't Understand.
BE and CD are parallel, so the triangles ABE and ACD are similar. Then the following relation holds:
AE/AD = AB/AC
10/(10 + 8) = x/(x + 6)
Solve for x :
10 (x + 6) = x (10 + 8)
10x + 60 = 18x
8x = 60
x = 60/8 = 7/5
43.7826087 rounded to the nearest tenth
Answer:
43.8
When you round look at the number after the one your rounding up to. If its greater than 5 round up. If its lower than 5 keep it the same number
if x= 1 y=3 satisfy the linear equation 3x - 4y +9=0
Answer:
Step-by-step explanation:
3(1) + 4(3) + 9 = 0
3 + 12 + 9 = 0
24 ≈ 0
What is the discriminant of the quadratic equation 0 = -x² + 4x − 2?
Answer: 8
Step-by-step explanation:
The discriminant is [tex]b^2-4ac[/tex]
in the equation:
[tex]-x^2+4x-2[/tex]
A = -1, B = 4, C = -2
plug into equation
[tex]4^2-4(-1)(-2)[/tex]
[tex]16-8[/tex]
⇒ [tex]8[/tex]
Which expression correctly represents "ten times the difference of a number and six"?
Answer:
10*(n-6)
Step-by-step explanation:
Break up the equation above and use words. ex.
10 (times) n (minus) 6
^
this is the difference
b divided by 7-12=8
What is b?
Answer:
140
Step-by-step explanation:
b/7-12=8
b/7=8+12 add
b/7=20
b=7*20 multiply
b=140
answer is 140 it is right answer
How much
was it check out the photo and please awnser i really need it for my exam And thank you
Answer:
She would need at least 11 buses leaving 17 spare seats.
Step-by-step explanation:
171+22+13= 206
206/20= 10.3
10.3 = 11
helppppp fast Write The (9m)^4 without exponents
Hi Student!
Looking at the problem, we are given a variable with a coefficient that is to the power of 4. We are asked to write the same expression but without exponents which means that we need to factor out the exponents to each of the items inside of the parenthesis.
Expand the expression
[tex](9m)^4[/tex][tex](9)^4*(m)^4[/tex]Simplify the expression
[tex]6561*m^4[/tex][tex]6561m^4[/tex]Therefore, the final answer for writing the expression [tex](9m)^4[/tex] without exponents would be [tex]6561m^4[/tex] after expanding the expression.
1. Trig Function
2. Coordinate value (x, y)
3. Value in terms of sinθ and/or cosθ
sinθ = _________________
cosθ = _________________
secθ = _________________
cscθ = _________________
tanθ = _________________
cotθ = _________________
The values of the given trig functions in terms of sinθ and/or cosθ are:
sinθ = tanθ.cosθ
cosθ = sinθ/tanθ
secθ = 1/cosθ
cscθ = 1/sinθ
tanθ = sinθ/cosθ
cotθ = cosθ/sinθ
Trigonometric functionsFrom the question, we are to determine the values of the given trig functions in terms of sinθ and/or cosθ
sinθNOTE: tanθ = sinθ / cosθ
∴ sinθ = tanθ.cosθ
cosθFrom above, we can write that
cosθ = sinθ/tanθ
secθSecant is the inverse of cosine
∴ secθ = 1/cosθ
cscθ (cosecθ)Cosecant is the inverse of sine
∴ cscθ = 1/sinθ
tanθtanθ = sinθ/cosθ
cotθCotangent is the inverse of tangent
∴ cotθ = 1/tanθ
But, tanθ = sinθ/cosθ
∴ cotθ = cosθ/sinθ
Hence, the values of the given trig functions in terms of sinθ and/or cosθ are:
sinθ = tanθ.cosθ
cosθ = sinθ/tanθ
secθ = 1/cosθ
cscθ = 1/sinθ
tanθ = sinθ/cosθ
cotθ = cosθ/sinθ
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In 2009, a principal of $3600 was invested at 3.75% interest, compounded annually. let t be the number of years since 2008. let y be the value of investment, in dollars. Write an exponential function showing the relationship between y and t.
Answer:
3,600 x (1.0375) ^ 1
Step-by-step explanation:
Compund interest formula.
IA * (r + 1) ^t
IA = Initial amount; r = rate (as decimal); t = time (in years)
IA = 3600
r = .0375
t = 1 (2008-2009)
3,600 x (1.0375)^1
-- Gage Millar, Algebra 1/2 Tutor, (Pending Pre-Calc Tutor)
Pls solve question 4b. Verrry urgent . Ok tyy
Answer:
[tex]y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}[/tex]
Step-by-step explanation:
Given equation:
[tex]y = 3x^2 - 9x + 17[/tex]
Factor out 3 from the first 2 terms:
[tex]y = 3(x^2 - 3x) + 17[/tex]
Divide the coefficient of x by 2 and square it: (-3 ÷ 2)² = 9/4
Add this inside the parentheses and subtract the distributed value of it outside the parentheses:
[tex]y = 3\left(x^2 - 3x+\dfrac{9}{4}\right) + 17-\dfrac{27}{4}[/tex]
Factor the parentheses and combine the constants:
[tex]y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}[/tex]
Use the following net to find the volume of the solid figure it represents.
Answer:
(d) 48 yd³
Step-by-step explanation:
The net shown is of a rectangular prism. To find its volume, we need to know its dimensions. The volume will be the product of those dimensions.
__
edge lengthsThe area of a rectangle is given by the formula ...
A = LW
So, if we know one of the dimensions, we can find the other from ...
W = A/L . . . . . divide by L
For the right-most rectangle, the area is 24 yd², and its length is given as 6 yd. Then the other dimension of that rectangle is ...
W = 24 yd²/(6 yd) = 4 yd
__
For the left-most rectangle, the area is 12 yd², so its width is ...
W = 12 yd²/(6 yd) = 2 yd
__
volumeNow we know the dimensions of the cuboid are 6 yd by 4 yd by 2 yd. Its volume is ...
V = LWH = (6 yd)(4 yd)(2 yd) = 48 yd³
The volume of the solid figure is 48 yd³.
The volume of the solid figure is 48 cubic yd if the length, width, and height of the solid figure are 6, 4, and 2 yd respectively option fourth is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
We have a net of the solid figure shown in the picture.
From the figure, the face has 24 square yards area and one side length is given, we can calculate the width of this face:
24 = 6×w
w = 4 yd
From the face that has 8 square yards area, we can calculate the height of the solid net:
8 = 4h
h = 2 yd
Volume of the solid net = 6×4×2 = 48 cubic yd
Thus, the volume of the solid figure is 48 cubic yd if the length, width, and height of the solid figure are 6, 4, and 2 yd respectively.
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Please answer now!!!
Answer:
Step-by-step explanation:
(
81
m
6
)
1
2
Simplify the expression.
9
2
(
1
2
)
(
m
6
)
1
2
Cancel the common factor of
2
.
9
1
(
m
6
)
1
2
Simplify the expression.
9m3
Answer:
Step-by-step explanation:
Given
(81 m^6) ^ (1/2)
Solution
change 81 to 9^2
(9^2 m^6)^(1/2)
Now multiply the 1/2 by each of the powers
9^2*(1/2) m^6^1/2
Answer 9 m^3
Comment
It's hard to show this, but the 1/2 only multiplies by power. It doesn't influence the base. That's because 1/2 is a power itself.