Answer:
Decay, 60%
Step-by-step explanation:
Remember that the exponential function is written in the form [tex]y=ab^x[/tex]. In this problem, a=57 and b=0.4. A function is considered a growth function when [tex]b>1[/tex]. Since 0.4 not greater than 1, this is an exponential decay function.
Now, to find the rate of decrease we can use part of the form [tex]y=a(1-r)^x[/tex].
[tex]1-r[/tex] represents the percentage decrease, in this case, 0.4. If that entire term is 0.4, we need to solve for [tex]r[/tex].
[tex]1-r=0.4\\r=0.6[/tex]
So, the rate of percentage decrease is 60%.
I hope this helps!
Jason planted 11 packs of seed in his 4 gardens. he Planted the same amount of seed in each garden. how many packs of Seed Were planted in each were planted in each garden?
2.75 packs
Step-by-step explanation:
11 packs ÷4 gardens =2.75 packs per garden
Classify each number according to its value
5.2×10-4
Answer:
48
Step-by-step explanation:
first put 5.2 x 10 in parentheses . Which you do first then subtract 4 and you will get your answer.
I need to know the answer ASAP
Graph the system below and write its solution.
-2x+y=-4
y=1/2x+2
Answer:
(4, 4)
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)Graphing functionsSolving systems of equations by graphingStep-by-step explanation:
Where the 2 graphs intersect would be the solution set to the systems of equations.
Answer:
x=4
and
y=4
Step-by-step explanation:
let -2x+y=-4 ...1
y=1/2x+2 ...2
putting equation 2 in equation 1 we get,
-2x+(1/2x+2)=-4
opening the brackets we get,
-2x+1/2x+2=-4
(-4x+x)/2=-4-2
-3x/2=-6
-3x=-6×2
-3x=-12
x=-12/-3
x=4
putting value of x in equation 2
y=1/2(4)+2
y=2+2
y=4
hence, x=4 and y=4
Caroline borrowed 300,000 from the bank in order to buy a house. If the simple interest RATE that the bank charged her was 3.5%, and she ended up paying the bank back a total of $615,000 (principal and interest total), how long (in years) did it take her to pay back the loan?
Answer:
915'000.+123=915,123
3.
On a coordinate plane, a line segment has P(6,2) and Q(3,8).
Point M lies on PQ and divides the segment so that the ratio
of PM:MQ is 3:2. What are the coordinates of point M?
A. (4.5, 5.0)
B. (5.6, 4.2)
C. (4.8, 4.4)
D. (4.2, 5.6)
Answer:
[tex]M(x,y) = (4.8,4.4)[/tex]
Step-by-step explanation:
Given
[tex]P(x_1,y_1) = (6,2)[/tex]
[tex]Q(x_2,y_2) = (3,8)[/tex]
[tex]m:n = PM:MQ = 3 : 2[/tex]
Required
Determine the coordinates of M
To solve this, we make use of the following partition formula:
[tex]M(x,y) = (\frac{nx_2+mx_1}{n+m},\frac{ny_2+my_1}{n+m})[/tex]
Substitute values for m, n, x's and y's
[tex]M(x,y) = (\frac{2*3+3*6}{2+3},\frac{2*8+3*2}{2+3})[/tex]
[tex]M(x,y) = (\frac{24}{5},\frac{22}{5})[/tex]
[tex]M(x,y) = (4.8,4.4)[/tex]
Option D is correct
What is the value of the digit 9 in 71.92
Answer:
.90
Step-by-step explanation:
?
A strawberry farmer will receive 37 per bushel of strawberries during the first week of harvesting each week after that the value will drop 0.8 per bushel the farmer estimates that there are approxiamately 129 of strawberries int he fieldsand that the crop is increasing at a rate of four bushels per week when should the farmer harvest the strawberries to maximize their value? (Assume that "during the first week of harvesting" here means week 1. How many bushels of strawberries will yield the maximum value? (Round your answer to the nearest integer.)
bushels
2. What is the maximum value of the strawberries? (Round your answer to two decimal places.)
$
Answer:
a.)
Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes
b.)
Revenue = bx = (157)(31.4) = $ 4929.8
Step-by-step explanation:
Let number of bushes = b
The price of the bushes = x
The time to harvest = t
The revenue = y
Now given,
Price = x = 37 - (0.8)t
and
Number of bushes = b = 129 + 4t
Also,
The revenue = (Number of bushes)(Price of the bushes)
= bx
= (129 + 4t)[37 - (0.8)t]
= 129×37 - 129× (0.8)t + 4×37t - 4×0.8t²
= 4773 - 103.2t + 148t - 3.2t²
= 4773 + 44.8t - 3.2t²
⇒ y = 4773 + 44.8t - 3.2t²
Now,
[tex]\frac{dy}{dt}[/tex] = 0 + 44.8 - 6.4t
Now,
[tex]\frac{dy}{dt}[/tex] = 0
⇒ 44.8 - 6.4t = 0
⇒ - 6.4t = -44.8
⇒ 6.4t = 44.8
⇒t = [tex]\frac{44.8}{6.4} = 7[/tex]
Now,
[tex]\frac{d^{2}y }{dt^{2} }[/tex] = -6.4
As [tex]\frac{d^{2}y }{dt^{2} }[/tex] < 0 ,
It means at time t = 7 , the revenue is maximum
a.)
Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes
Price = x = 37 - (0.8)(7) = 37 - 5.6 = 31.4
b.)
Revenue = bx = (157)(31.4) = 4929.8
Formula for parallelogram law of addition
Answer:
answers?
Step-by-step explanation:
Yin min owns A small store the first month store was open she made 1375 in profit during the next month she advertising local newspaper and saw a 60% increase in profit how much profit did she make the second month?
Hey there! As far as I understand the problem, she made $2,200 in profit. Take 1,375 and multiply it by 1.6.
Elena mixes 5 cups of apple juice with with 2 cups of ginger ale to make punch for a party she wants to make 35 cups of punch how much apple juice does she need to buy?
Answer:
25 cups of apple juice and 10 cups of sparking water.
Step-by-step explanation:
a) Work out
16.3-4.97 + 8.6
(2)
I
b) Work out
2164.89 +7
(2)
Answer:
a)19.93 b)2171.89
Step-by-step explanation:
a) As there are no brackets first do the equation
16.3-4.97 which is 11.33
then you add 8.6 onto that which is 19.93
b)2.164.89+7=2171.89
How do I find the volume of this pyramid
Answer:
10*10*12 = 120 ÷ 3 = 40
Step-by-step explanation:
The formula to find a pyramid's volume is
V = [tex]\frac{l*w*h}{3}[/tex] (length 'times' width 'times' height, divided by 3)
What is the answer please
PLS HELP ASAP Ms. Farrell has 36 students in her class. This is 5 more
students than Mr. Carter has.
How many students does Mr. Carter have? Choose the correct equation and
answer.
A. X+36 = 5
x = 41 students
B. x+ 5 = 36
x= 41 students
O C. X+41 = 36
x= 77 students
D. x+ 5 = 36
x= 31 students
Answer:
its d 31 is 5 less than 36.....
The coordinates of the vertices of triangle ABC are A(9.-10), B(-15, 0), and C(15, 10). A dilation centered at (0, 0) is perfomed on triangle ABC to produce triangle ABC. The coordinates of the vertices of triangle A'B'C' are A' (13.5, -15), B(-22.5, OJ, and C(22.5, 15). Find the scale factor. will mark brainlyst
Rudy correctly solved the equation 10 = 4r.
Which statement describes his solution?
A
The solution is 40 since 10 times 4 equals 40.
The solution is 2.5 since 4 times 2.5 equals 10.
С
The solution is 2.5 since 4 divided by 2.5 equals 10.
D
There is no solution because no value can be multiplied by 4 to get 10.
Answer:
its B
Step-by-step explanation:
Can someone help plzzz!!!
Answer:
4
Step-by-step explanation:
4•4•4 = 64
Answer:
4
Step-by-step explanation:
cubic root of 64 is 4, since 4^3 = 64
solve each equation for given variable
- 12 = 6i- 6
f(x)=x-7 and g(x)=2x-3
find f(g(4))
Answer:
f(g(4)) = -2
Step-by-step explanation:
First, find g(4) by plugging in 4 as x into the function:
g(x) = 2x - 3
g(4) = 2(4) - 3
g(4) = 8 - 3
g(4) = 5
f(g(4)) can be found by finding f(5), since g(4) = 5
Find f(5) by plugging in 5 into the function:
f(x)= x - 7
f(5) = 5 - 7
f(5) = -2
So, f(g(4)) = -2
Is 3.5 and 3.55 a equivalent decimal?
There are 18 black and 12 navy socks in your drawer. The room is dark and you
cannot turn on the light. What is the least number of socks that you have to take out of
your drawer to be certain that you have a pair of black socks?
The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.
Given that,
There are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light.
We have to determine
What is the least number of socks that you have to take out of your drawer to be certain that you have a pair of black socks?
According to the question,
The following steps can be used in order to determine the least number of socks that you have to take out of the drawer:
The total number of blue socks is 18,
And the total number of navy socks is 12.
The probability that the socks come out is black socks is,
[tex]\rm P_b = \dfrac{18}{18+12}\\\\P_b= \dfrac{18}{30}\\\\P_b = \dfrac{3}{5}[/tex]
And the probability that the socks come out is navy socks is,
[tex]\rm P_n = \dfrac{12}{18+12}\\\\P_n= \dfrac{12}{30}\\\\P_n = \dfrac{2}{5}[/tex]
On comparing both the probability,
[tex]\rm P_b>P_n[/tex]
Hence, The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.
For more details refer to the link given below.
https://brainly.com/question/19200823
Answer:3
Step-by-step explanation:
I found this out because is you take 3 out you will get BLUE BLUE BLACK or BLACK BLACK BLUE or BLUE BLUE BLUE or BLACK BLACK BLACK
Hope that helps
PLS HELP
What is the length, in feet, of AD in the isosceles trapezoid ABCD?
15 ft
c
1410
5 ft
A
D
F
Note: Figure is not drawn to scale.
O 3 feet
O 10 feet
O 141 feet
O 21 feet
Answer:
21 feet
Explanation:
Using pythagorean theorem to find the length of the added length of the bottom.
A^2+B^2=C^2 or 4^2+B^2=5^2 or 16+B^2=25
25-16=9 so B^2 is 9 and the square root of that is 3 so B is 3. Then you add 15+3+3 to get 21.
Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates.† Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates.† If you want to provide your child with 340 calories and 75 grams of carbohydrates, how many servings of each should you use?
Answer:
2 servings of Gerber Mixed Cereal for Baby and 3 servings of Gerber Mango Tropical Fruit Dessert should be used.
Step-by-step explanation:
Given that Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates, while Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates, and you want to provide your child with 340 calories and 75 grams of carbohydrates, in order to how many servings of each you should use, the following calculation has to be made:
(80 x 5) + (60 x 0) --- (21 x 5) + (11 x 0) = 400 --- 105
(80 x 4) + (60 x 1) --- (21 x 4) + (11 x 1) = 380 --- 95
(80 x 3) + (60 x 2) --- (21 x 3) + (11 x 2) = 360 --- 85
(80 x 2) + (60 x 3) --- (21 x 2) + (11 x 3) = 340 --- 75
Therefore, 2 servings of Gerber Mixed Cereal for Baby and 3 servings of Gerber Mango Tropical Fruit Dessert should be used.
(SAT PREP) FIND THE VALUE OF X PLEASE ASAP AWARDING BRAINLIEST!!
Answer:
116
Step-by-step explanation:
x=180-(25+39+15)=116degrees
Answer:
116 is the correct answer to this question
Ples help me
IF its wrong i will report u
ill give you the best if it right and who ever is first.
Answer:
A, B, and D are equal to 75%
Step-by-step explanation:
Hope it helps!
Answer:
B., A. and D.
Because they all equal 75%!
Can someone explain to me better on identifying linear functions? Like how would I know the difference when identifying them? Are they a function or not?
Answer:
A linear function is a straight line and a non-linear function is not a straight line.
Step-by-step explanation:
Elijah invested $280 in an account paying an interest rate of 2.1% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $360?
Answer: 12
Step-by-step explanation:
Find the midpoint of the line segiment with the given endpoints. (-9,-7) and (-8,-5)
Answer:
what's your question I am not understanding
Ralph Chase plans to sell a piece of property for $150000. He wants the money to be paid off in two ways a - short-term note at 11% interest and a long-term note at 8% interest. Find the amount of each note if the total annual interest paid is $15200
.
Answer:
Amount on 11% note = $106,666.67
Amount on 8% note = $43,333.33
Step-by-step explanation:
Let the amount for the short-term note at 11% interest be x.
Thus, the amount for the short-term note at 8% interest will be (150000 - x)
Now we are told that the total interest paid is $15,200.
Thus;
0.11x + 0.08(150000 - x) = 15200
0.11x + 12000 - 0.08x = 15200
Rearranging gives;
0.03x = 15200 - 12000
0.03x = 3200
x = 3200/0.03
x = $106666.67
Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33