Answer: 25%
The percentage change between 64 and 80 is a 25% increase.
Step-by-step explanation:
Answer:
Percent of increase - 80 - 64 = 16
% increase = Increase ÷ Original Number × 100.
= 16 ÷ 64 × 100
= 25 ℅
(1 pt
Find a formula for P = f(t), the size of the population that begins in year t=0 with 2140 members and decreases at a 3.8% annual rate. Assume
that time is measured in years
Answer:
The formula f(t) will be:
[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]
Step-by-step explanation:
We know that exponential decline in Maths can be termed as a consistent reduction of an amount by percentage over a certain period of time.
It can be expressed using the formula
[tex]f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]
here
f(t) represents the final amount
a represents the original amount
b represents the decay factor
t represents the amount that has passed
Now, map our problem using the same concept formula
as
2150 members are at the beginning, so
a = 2150
as the size of the population has been experiencing an annual decline of 3.8%. so
b = 3.8%= 0.038
so substituting b = 0.038 and a = 2150
[tex]P=f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]
[tex]\:f\left(t\right)=2150\left(1-0.038\right)^t[/tex]
[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]
Therefore, the formula f(t) will be:
[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]
Please help me I am in a hurry to go somewhere so please help quick
Three sisters are each less than 45 years old. The mode of their ages is 35. The range is 14. What is the mean of their ages? The median?
a.
29.7; 35
c.
35; 30.3
b.
30.3; 28
d.
30.3; 35
Please select the best answer from the choices provided
sorry about the answer choices being mixed up im still in a hurry
Answer:
I'm so sorry I don't know this answer but good luck
Answer: since it doesn't tell you how you get it.
Since the mode of the ages is 35 we know that at least two of the ages are 35. Since the range is 14 we know the third sister is not also age 35. Let x be the age of the third sister. Then we know either 35 - x = 14 or x-35 = 14 (depending if x is younger or older, respectively). Solving both of these gives x = 21 or x = 49. But all the sisters are under the age of 45, so x = 21. Hence, the ages of the sisters are
21, 35, 35.
So, the mean is (35+35+21)/3 = 91/3 =~ 30.3333 ...
The median is 35.
Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?
Answer:
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
(-2,5), (-1,8), (0,6), (1,6), (2,7) is function or not a function help
Max ran 8 miles on Thursday. One mile is equal to 5,280 feet. Which
proportion can be used to determine how many feet, x, Max ran on
Thursday?
Answer:
5280x=y
Step-by-step explanation:
5280(8) = 42240
please, someone help me
Answer:
the equation of the parabola in vertex form is y=3(x+2[tex])^{2}[/tex]-4
Step-by-step explanation:
7th grade math help me please :)))
Answer:
$284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Step-by-step explanation:
Firstly, to calculate the portions each class should have, we should find the proportion each class takes up.
Hence, let's say A represents Mr. Aceves' class, B represents Mrs. Baca's class, and C represents Mr. Canyon's class.
The total number of box tops collected would be 3760 + 2301 + 1855 = 7916 box tops.
Therefore, the total proportions would be:
A = [tex]\frac{3760}{7916}[/tex]
B = [tex]\frac{2301}{7916}[/tex]
C = [tex]\frac{1855}{7916}[/tex]
Hence, we can finally multiply these proportions with the total prize to find the appropriate division:
Mr. Aceves' class gets [tex]\frac{3760}{7916} \cdot 600 \approx 284.99[/tex].
Mrs. Baca's class gets [tex]\frac{2301}{7916} \cdot 600 \approx 174.41[/tex].
And Mr. Canyon's class gets [tex]\frac{1855}{7916} \cdot 600 \approx 140.60[/tex].
Finally, $284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Hope this helped!
this is algebra ,
what is the minimum unit cost?
Answer:
search it up
Step-by-step explanation:
the equation of the line through (3 -4) with slope 2/3 is:
WILL GIVE BRAINLIST
Answer:
[tex]y = \frac{2}{3}x - 6[/tex].
Step-by-step explanation:
(3 , -4) ; slope(m) = 2/3
y - y1 = m (x -x1)
[tex]y - [-4] = \frac{2}{3}(x - 3)\\\\y + 4 = \frac{2}{3}x - 3*\frac{2}{3}\\\\y +4 = \frac{2}{3}x-2\\\\ y = \frac{2}{3}x - 2 - 4\\\\ y = \frac{2}{3}x - 6[/tex]
Determine the domain on which the following graph of f(x) is negative.
Answer:
there is no graph.
Step-by-step explanation:
A woman bought 210 oranges for GH¢65.00. she sold all of them at 3 for ¢20.00. how much profit did she make?
Answer:
She made a profit of 1,335 cedis
Step-by-step explanation:
Here, we want to calculate the profit made
Profit is selling price - cost price
Her cost price is 65 credits
For her selling price;
she sells 3 for 20 cedis
So the price she sold 210 will be;
(210 * 20)/3 = 1,400 cedis
So the profit made is;
1,400-65 = 1,335 cedis
Kelsey painted one-fourth of her bedroom in three-sevenths of an hour. At this rate, how long would it take her to paint the entire room?
A 3/28 of an hour
B 28/3 of an hour
C 12/7 of an hour
D 7/12 of an hour
The air pressure P is inversely proportional to the altitude h. write the related variation equation
Step-by-step explanation:
P * h = k, where k is a real constant.
Options are line ED, line EH or line CD
Answer:
ED and CF are paralell to eachother
The terminal side of Ø is in quadrant II and sin ø = 5/13 What is cos ø?
A. 5/12
B. -12/13
C. -5/12
D. 12/13
Step-by-step explanation:
In Quadrant II, cosine is negative.
We know that sin²x + cos²x = 1, so:
cosx = sqrt[1 - sin²x]
= sqrt[1 - (5/13)²]
= sqrt(144/169)
= -12/13 (since cosx is negative here)
The answer is -12/13. (B)
Option B is correct.
Quadrants and the "cast" Rule:In the first quadrant, the values for sin, cos, and tan are positive.In the second quadrant, the values for sin are positive only.In the third quadrant, the values for tan are positive only.In the fourth quadrant, the values for cos are positive only.
According to the given question
We have, sin ∅ = 5/13
From the trigonometric identities we know that
[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1
substitute the value of sin∅ in the above identity
[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅ =1
⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅ =1
⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]
⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]
⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]
⇒cos∅ = ±[tex]\frac{12}{13}[/tex]
Since, ∅ is in quadrant II, then cos<0
⇒ cos∅ = -[tex]\frac{12}{13}[/tex]
Hence, option B is correct.
Learn more about quadrant and cast rule here:
https://brainly.com/question/11099638
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Write the equation in standard form: -2 (x - 5) = 3y *
0 -2x + 10x = 3y
O y = -2/3x + 10/3
0 -3y - 2x = -10
0 -3-27 = 10
Answer:
In think is the first one
HELP!!!
Which question is not a linear equation?
1. -4v +2w = 7
2. x/4 = y
3. x = -5
4. 2/x + 3/y = 6
please help asap!! Find the base
At Stop and Shop this week, grapes the price of grapes is 2.5 pounds (lbs) for $6.70. 1 How many pounds of grapes can you buy for $9.00? Clearly show your math reasoning
Answer: he average retail price of grapes is $2.09 per pound, according to United States Department of Agriculture's Economic Research Service, with most bags weighing in around two pounds. That's where it's easy to get tricked: Grapes for $3.99 per pound don't sound so bad, but a 2.5-pound bag would set you back nearly $10.
Step-by-step explanation:
The table below compares a number of shirts bought at a store to the cost of the shirts
4
Number of Shirts
Cost In Dollars
1
1 x 10
2
2 x 10
3
3 x 10
4 x 10
a. Write an expression that represents the cost of s number of shirts,
Answer:
doom
Step-by-step explanation:
Arrange the systems of equations that have a single solution in Increasing order of the x-values in their solutions.
2x + y = 10
(x-3y=-2
x + 2y = 5
2x + y = 4
x + 3y = 5
6x - y = 11
2x + y = 10
- 6x - 3y = -2
HELP
Complete question is;
Arrange the systems of equations that have a single solution in Increasing order of the x-values in their solutions.
1) 2x + y = 10
x - 3y = -2
2) x + 2y = 5
2x + y = 4
3) x + 3y = 5
6x - y = 11
4) 2x + y = 10
-6x - 3y = -2
Answer:
Arranging the systems in increasing value of x gives;
System 2, system 3, system 1
Step-by-step explanation:
1) 2x + y = 10 - - - (eq 1)
x - 3y = -2 - - - (eq 2)
Multiply eq 1 by 3 to get;
6x + 3y = 30
Add it to eq 2 to get;
7x = 28
x = 28/7
x = 4
2) x + 2y = 5 - - - (eq 1)
2x + y = 4 - - - (eq 2)
Multiply eq 2 by 2 to get;
4x + 2y = 8
Subtract eq 1 from it to get;
3x = 3
x = 3/3
x = 1
3) x + 3y = 5 - - - (eq 1)
6x - y = 11 - - - (eq 2)
Multiply eq 2 by 3 to get;
18x - 3y = 33
Add to eq(1) to get;
19x = 38
x = 38/19
x = 2
4) 2x + y = 10 - - - (eq 1)
-6x - 3y = -2 - - - (eq 2)
Make y the subject in eq 1 to get;
y = 10 - 2x
Put in eq (2);
-6x - 3(10 - 2x) = -2
-6x - 30 + 6x = -2
0 = 0
Thus,no solution exists.
Arranging the systems in increasing value of x gives;
System 2, system 3, system 1
Answer:
The person above me is correct.
Step-by-step explanation:
Ty is placing CDs in boxes. There are a total of 7,200 CDs. Each box holds 90 CDs. How many boxes will Ty fill? A. 80 B. 70 C. 100 D. 90
Answer:
80 boxes.
Step-by-step explanation:
Total CDs available = 7200CDs
Amount of CD in each box = 90 CDs
To get the number of boxed Ty will fill, we will say;
90CDs = 1box
7200 CDs = x
Cross multiply
90 * x = 7200 * 1
90x = 7200
x = 7200/90
x = 80
Hence Ty will fill total of 80 boxes.
Answer:
80 CDS
Step-by-step explanation:
Total CDs available = 7200CDs
Amount of CD in each box = 90 CDs
To get the number of boxed Ty will fill, we will say;
90CDs = 1box
7200 CDs = x
Cross multiply
90 * x = 7200 * 1
90x = 7200
x = 7200/90
x = 80
Hence Ty will fill total of 80 boxes.
please solve for x
x+19=-9
Answer:
x=-28
Step-by-step explanation:
Answer:
x=-28
Step-by-step explanation:
2(x+1)= - 8x +12+ 10x -10
Answer:
all real numbers
Step-by-step explanation:
distribute the 2
2x+2=-8x+12+10x-10
combine like terms on each side
2x+2=2x+2
0=0
all real numbers
Which statement about proteins is TRUE?
A) You cannot consume complete proteins if you eat a vegetarian diet.
B) Animal products like meat and dairy provide complete proteins.
C) Beans provide all the amino acids the body needs.
D) During digestion, your body combines proteins to make amino acids.
Answer:
The answer is
A.) Animal products like meat and dairy provide complete proteins.
Hope this helps! Have a great day :)
Step-by-step explanation:
Name the property that the statement illustrates.
Answer:
Transitive property of segment congruence
Step-by-step explanation:
The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,
The reflexive property states that [tex]\overline{XY} \cong \overline{XY}[/tex] (a segment is congruent to itself)The symmetric property states that if [tex]\overline{AB} \cong \overline{CD}[/tex], then [tex]\overline{CD} \cong \overline{AB}[/tex] (this is essentially commutativity)The transitive property states that if [tex]\overline{AB} \cong \overline{CD}[/tex] and [tex]\ovelrine{CD} \cong \overline{EF}[/tex], then [tex]\overline{AB} \cong \overline{EF}[/tex].In terms of general equivalence relations,
The reflective property states that [tex]a = a[/tex].The symmetric property states that if [tex]a=b[/tex], then [tex]b=a[/tex].The transitive property states that if [tex]a=b[/tex] and [tex]b=c[/tex], then [tex]a=c[/tex].That's the transitive property.
The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.
BRAINLIEST TO THE RIGHT ANSWER!! PLEASE HELP ASAP!
(needs to be an equation btw)
Sarah and three friends enter a story writing contest. They win the contest and receive a cash
prize. Each person on the team received $21.25. How much money did the team win
altogether
Show work please
Answer:
85
Step-by-step explanation:
21.25 times 4 (Sarah and 3 friends) equals 85
if a square has an area of 81mi whats it exact side length
Answer:
9
Step-by-step explanation:
Ahmed is saving his money to buy a IPad that costs $319.50. Right now he has $21.95, and can save $63.00 each week. How many weeks will it take for Ahmed ro have enough momey to buy the Ipad? Answer Choices: A: 2 weeks, B: 3 weeks, C: 4 weeks or D: 5 weeks
Answer:
5
Step-by-step explanation: