Answer:
1 - (1.021)^(1/12) ≈ 0.17 %
Step-by-step explanation:
In the given expression 3.50 is the initial value (cost per pound at the time of the first recording) and (1.021)^t is the increase factor for a given time difference since first recording (in years).
Putting [tex]t := {\frac{1}{12}}[/tex] into that expression yields the increase factor per month and subtracting it from 1 yields the “rate” notation which is just the part that was “added” to the initial amount.
Bonus: [tex]p(u) = 3.50 \cdot (1.021)^\frac{s}{12} \approx 3.50 \cdot (1.0017)^s[/tex] is the cost function for a given time [tex]s := 12 t[/tex] in months.
Note that this approach gives you an increase rate based on an average month length. It doesn’t consider that a real month has different amount of days. For example “s = 3” means “3/12 of a year”, or “1/4 of a year” as opposed to something like “June 13 till September 13”.
Answer:
(1.002)12t.
Step-by-step explanation:
he expression, (1.021)t, reveals the rate of increase for the cost of a pound of strawberries per year.
In order to reveal the monthly rate of increase, rewrite the expression in terms of months. Since there are 12 months in a year, raise the growth factor for the year to the power in order to find the growth factor for the month. To keep this expression equivalent to the given expression, the exponent outside the parentheses needs to change to 12t.
Therefore, the expression that reveals the monthly rate of increase for the cost of a pound of strawberries is (1.002)12t.
what area is this figure?
A,60ft2
B,50
C,40ft2
D,100ft2
Answer:
The answer is 100ft2 I think
Geometry
> Q.1 Pythagorean theorem F55
Relative to Olivia's home, Lakewood is 72 kilometers due north and Wildgrove is 21
kilometers due east. One day, Olivia decides to run some errands that will require her to
leave home and drive to Lakewood, then go directly to Wildgrove, and finally return home.
How long of a drive will she be making?
Which statement correctly describes the graphed function () = - +5, with a domain restricted to natural
numbers, in terms of an arithmetic sequence?
The point (1.4) means the 1st term of the sequence is 4. The point (2,3) means the 2nd term
of the sequence is 3, and so on.
The point (1,4) means the 4th term of the sequence is 4. The point (2,3) means the 3rd term
of the sequence is 3, and so on.
The point (1,4) means the 4th term of the sequence is 1. The point (2, 3) means the 3rd term
of the sequence is 2, and so on.
The point (1,4) means the 1st term of the sequence is 1. The point (2,3) means the 2nd term
of the sequence is 2, and so on
The correct statement is the point (1, 4) means the 1st term of the sequence is 4. The point (2,3) means the 2nd term and so on
Explicit function of a sequenceGiven the function that represents a given given graph a f(x) = -x + 5
For the first term of the sequence, x = 1. Substitute into the function;
f(1) = -1 + 5
f(1) = 4
This shows that the point (1.4) means the 1st term of the sequence is 4.
For the second term, x = 2
f(2) = -2 + 5
f(2) = 3
This shows that the point (2, 3) means the 2nd term of the sequence is 3.
Learn more on explicit function here: https://brainly.com/question/517631
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PLEASEE HELPP RNN!! The volume of a cylinder is 2247 cubic centimeters and its radius is 4 centimeters,
What is the height of the cylinder?
Enter your answer in the box.
cm
Answer:
Step-by-step explanation:
r and h are the radius and height
Volume = πr²h = πr²4 = 2247
r ≈ 13.4 cm
if y = 4x + 0.5, find y when x =1.5
Answer:
= 6.5
Step-by-step explanation:
You have to plug in 1.5 for x
->
4(1.5) + 0.5 = 6.5
у
9-
8-
7+
6+
5+
4+
3+
2+
1+
-9 -8 -7 -6 -5 -4 -3 -2
2 3 4 5 6 7 8 9
-2+
-3-
-4+
-5+
-6+
-7+
-8
-9
solve the following equation by completing the square. 4x2 -16 x + 8=0
Answer:
x = 2±sqrt(2)
Step-by-step explanation:
4x^2 -16 x + 8=0
Move the 8 to the right side by subtracting 8 from each side
4x^2 -16 x + 8-8=0-8
4x^2 -16 x =- 8
Get the x^2 term to have a coefficient of 1 by dividing each term by 4
x^2 -4x = -2
Take the coefficient of x and divide by 2 and then square it
-4/2 = -2
(-2 )^2 = 4
Add this to each side
x^2 - 4x +4 = -2 +4
Factor the right side into ( x +b/2)^2 where b is the coefficient of x
(x-2)^2 = 2
Take the square root of each side
x-2 = ±sqrt(2)
Add 2 to each side
x = 2±sqrt(2)
Aysia went to the grocery store to buy cold cuts for making sandwiches for lunch. She wants to buy 0.75 lb. of ham that costs $7.92 per pound.
How much will she spend on ham? Show your work using a model or equation.
PLEASE ANSER QUICK
Answer:
$5.94
Step-by-step explanation:
0.75 = 3/4
you can do 7.92*0.75 = 5.94 or do 7.92/4 = 1.98 and then 1.98*3 = 5.94 to find the total amount, whichever works better :)
13 to the 2nd power =169. what would be the inverse to undo it?
Answer:
The inverse is [tex]\sqrt{169}[/tex]
Step-by-step explanation:
Answer:
169 divided by 13
the square root of 169
plz give brainiest
Step-by-step explanation:
[tex]\sqrt{169} =13[/tex]
if sarah shot 40 free throws and only made 25% of them. how many did she make
It’s my last question :(
Answer:
Perimeter = 28·√2 + 24 feet
Step-by-step explanation:
The dimensions of the initial sheet of plywood are;
The length of the sheet of plywood = 25 ft.
The width of the sheet of plywood = 14 ft.
The shape cut from each corner of the sheet of plywood = A right triangle
The leg length of each of the cut out right triangles = 7 ft.
The number of leg lengths of the right triangle cut from the length side of the initial sheet of plywood = 2
The length of the parallel sides of the remaining hexagonal piece of plywood = Initial length of the plywood - 2 × The leg length of the cut out right triangle
∴ The length of the parallel sides of the remaining hexagonal piece of plywood = 26 ft. - 2 × 7 ft. = 12 ft.
The other side length of the remaining hexagonal piece of plywood = The hypotenuse side of the cut out right triangle
The hypotenuse side of the cut out right triangle = √((7 ft.)² + (7 ft.)²) = 7·√2 ft.
∴ The other side length of the remaining hexagonal piece of plywood = 7·√2
The number of side lengths in the remaining hexagonal piece of plywood = 4
The perimeter of the remaining hexagonal piece of plywood = 2 × The length of the parallel sides + 4 × The other side lengths
∴ The perimeter of the remaining hexagonal piece of plywood = 2 × 12 ft. + 4 × 7·√2 = (28·√2 + 24) ft.
The perimeter of the remaining hexagonal piece of plywood = (28·√2 + 24) feet
Ratio of blue to green sweets is 2:7 Ration of green to red sweets is 3:1 There are less than 140 sweets in the bag Greatest amount of red sweets
Answer:
35 sweets
Step-by-step explanation:
Ratio of blue to green sweets is 2:7 Ration of green to red sweets is 3:1 There are less than 140 sweets in the bag Greatest amount of red sweets
Ration of green to red sweets is 3:1
Total Proportion = 3 + 1 = 4
Total number of sweet = > 140 sweets
The greatest amount of red sweets =
1/4 × 140 = 35 sweets
is 1/8 x 4= 1/12 or 4/8
Answer:
If you were to fully simplify it would technically be 1/2 as 4/8 is correct but can be further rounded down
Step-by-step explanation:
1/8 x 4 = 4/8
4/8 ÷ 4 = 1/2
I could use some assistance with this!
Answer:
n > -5Step-by-step explanation:
Solve inequality:
-105 < -7(5 - 2n)-15 < -(5 - 2n)-15 < - 5 + 2n-10 < 2n-5 < nn > - 5Highlight the points to the right from -5
Answer:
[tex]n>-5[/tex]
Step-by-step explanation:
−105<−7(5−2n)
Divide both sides by −7. Since −7 is negative, the inequality direction is changed.
[tex]\frac{-105}{-7}[/tex] > 5−2n
Divide −105 by −7 to get 15.
15>5−2n
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
5−2n<15
Subtract 5 from both sides.
−2n<15−5
Subtract 5 from 15 to get 10.
−2n<10
Divide both sides by −2. Since −2 is negative, the inequality direction is changed.
n>[tex]\frac{10}{-2}[/tex]
Divide 10 by −2 to get −5.
n>−5
Which ordered pair is a solution to the equation y = 3x + 6
Answer:
y = 3x + 6
a- 1
b- 0
c- 6
Coordinates: (-2,0) (0,6)
Slope:3
y-intercept:(0,6)
What is the slope of the line going through the points ( -1, 4 ) and ( -1, -3 )?
PLEASE HELP
#8: Ella's grandmother sewed her a change purse. When she gifted it to her, Ella counted 23 coins already in it. Ella noticed there were only dimes and quarters worth $4.70. How many dimes were in the change purse?*
9514 1404 393
Answer:
7 dimes16 quartersStep-by-step explanation:
We can let d represent the number of dimes. Then the number of quarters is 23-d, and the total value of the change is ...
0.10d + 0.25(23 -d) = 4.70
-0.15d + 5.75 = 4.70
1.05 = 0.15d . . . . . . . . add 0.15d -4.70 to both sides
7 = d . . . . . . . . . . . . . . divide by 0.15
There were 7 dimes in the change purse.
__
There were 23-7 = 16 quarters.
You deposit $500 in a savings account that earns 2.5% interest compounded yearly. Find the balance in the account after 1 year. Be sure your answer has a dollar sign. For example: $150.80 *
Answer:
$512.5
Step-by-step explanation:
Given data
P= $500
R=2.5%
T= 1 year
The compound interest formula is
A=P(1+r)^t
substitute
A=500(1+0.025)^1
A=500(1.025)
A=500*1.025
A=$512.5
Hence the balance is $512.5
Does anyone know this answer
(If you do please type it out just like I would do so when i input it)
Plants are unicellular organisms. True of false? PLZ QUICK IM IN THE MIDDLE OF A QUIZ
Answer:
yes
Step-by-step explanation:
all plants are multicellular because they always have more than one cell
Answer:
FALSE
Step-by-step explanation:
All true plants are regarded as multicellular organisms since they consist of more than a single cell.
Also, next time you ask a question, make sure not to mention you're in the middle of a test or quiz. It's against brainly's honor code because they think you're cheating!
If a_1=2a 1 =2 and a_n=(a_{n-1})^2-2a n =(a n−1 ) 2 −2 then find the value of a_4a 4 .
9514 1404 393
Answer:
2
Step-by-step explanation:
We assume your recursive formula is ...
[tex]a_1=2\\a_n=a_{n-1}^2-2[/tex]
Using this to find a4, we get ...
[tex]a_2=a_1^2-2=2^2-2=2\\a_3=a_2^2-2=2^2-2=2\\a_4=a_3^2-2=2^2-2=2\\\\\boxed{a_4=2}[/tex]
Find the value of x in the following quadrilateral
(3x:- 42)°
-
(2x - 5)°
Please help!
Answer:
The answer is 63.31
Step-by-step explanation:
[tex]2x - 5 + 3x - 42 + x + \frac{3}{7} x = 360 \\ \frac{45}{7} x = 360 + 47 \\ x = 63.31[/tex]
??? I need help :(((
what is 4 times the power of 18?
Answer:
68719476736
Step-by-step explanation:
Answer:
687,194,76,736
Step-by-step explanation:
all u have to do is multiply 4 by 18 times no like this 4x18 cuz that = 72
u gotta do 4x4x4x4x4x4x4x4x4x4x4x4x4x4x4x4x4x4= 687,194,76,736
which temp is warmer -2 degrees celsius or -5 degrees celsius
Answer:
-2 degree celsius
Step-by-step explanation:
-2 degree celsius
-5 degree celsius
Which is warmer?
__________________
Usually when people try to find a warmer temperature. They look for the biggest number, one that has more value, as in this case, people would tend to say since 5 is bigger than 2, therefore it must be warmer. Wrong. What we're dealing with here is negatives, this goes backwards, the number that is smaller is warmer, following that logic. Which is a warmer temperature?
-5 or -2?
-2 degree celsius
The sum of the measure of four of the exterior angles of a polygon is 255º. What is the
measure of the fifth exterior angle?
Answer:
Its 255+x=180 => so x=105
HELP WITHIN A HOUR!
Show work, please!
Answer:
A) 24
B) 24
Step-by-step explanation:
A) equilateral triangle means that all sides are equal
so each side is = 24 because the perimeter = 72
72/3= 24
B) 1 side = 24 and they gave you that 10+7h = 24
so h = 2
so hight of triangle = 2
Area = 1/2(b)(h)
so 24(2)(0.5) = 24
_____
Have fun, don't forget to brilliant ❤
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Answer:
I don't understand the question
Answer:
Oh cool!
Step-by-step explanation:
what is the answer to the following:
100+ 100- 100 x 100/100
(dont look up do your best i belive in you)
Answer:
either 100 or 1,000
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
100+100-100x100/100
100+100-100x1
200-100x1
100x1
100
I'm giving 100 points if you answer these questions. CORRECTLY
-3x+5>20
1/2x-12<6
Are they a system or separate inequalities? I'm not sure but either way I will solve each:
[tex]\begin{bmatrix}-3x+5>20\\ \frac{1}{2}x-12<6\end{bmatrix}[/tex]
[tex]-3x+5>20,\\-3x>15,\\x<-5[/tex]
[tex]\frac{1}{2}x-12<6,\\\frac{1}{2}x<18,\\x<36[/tex]
Now if it were a system, the solution would be x<-5, since x<36 is the restriction. Otherwise just take x<-5 and x<36 independent of each other.
Answer:
x< -5, x<36
Step-by-step explanation:
[tex]-3x+5>20} \atop {\frac{1}{2}x-12<6 }} \right. \\[/tex]
Start with the first equation and solve for x
-3x+5>20
-5 -5
-3x>15
/-3 /-3
x< -5
Do the second:
[tex]\frac{1}{2}x-12<6[/tex]
+12 +12
[tex]\frac{1}{2}x[/tex]<18
/0.5 /0.5
x< 36