Answer:
Kindly check explanation
Step-by-step explanation:
Using the compound interest formula :
A = P(1 + r/n)^nt
A = final amount ; r = rate ; n = number of compounding times per period ; t = period ; P = principal
P = 2500 ; r = 4% = 0.04 ; t = 5 years
Daily compounding, n = 365
Yearly compounding, n = 1
Quarterly compounding, n = 4
Daily compounding :
A = 2500(1 + 0.04/365)^(5*365)
A = 2500(1.0001095)^1825
A = $3053.4734
Yearly :
A = 2500(1 + 0.04/1)^(5*1)
A = 2500(1.04)^5
A = $3041.6323
Quarterly:
A = 2500(1 + 0.04/4)^(5*4)
A = 2500(1.01)^20
A = $3050.4751
Complete the function, count_bases(s). It takes as input a DNA sequence as a string, s. It should compute the number of occurrences of each base (i.e., 'A', 'C', 'G', and 'T') in s. It should then return these counts in a dictionary whose keys are the bases.
Answer:
The function is as follows:
def count_bases(DNA_str):
retDNA = {}
for i in DNA_str:
if i in retDNA:
retDNA[i]+=1
else:
retDNA[i] = 1
return retDNA
Step-by-step explanation:
This defines the function
def count_bases(DNA_str):
This initializes a dictionary
retDNA = {}
This iterates through the dictionary
for i in DNA_str:
If an item exists in the dictionary
if i in retDNA:
The count is updated by 1
retDNA[i]+=1
Otherwise
else:
The count is set to 1
retDNA[i] = 1
This returns the DAN
return retDNA
The measure of ∠1 =
a. 110
b. 62.5
c. 55
Answer:
option C
Step-by-step explanation:
The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. table. f(x) 012) --2 -1 1 Of(0) = } f(1) = -1 0 کی ادN Of(2)= 1 1 2 Of(4) = ? 2 2 Na
Answer:
Options (1) and (5)
Step-by-step explanation:
Expression that defines the function is,
[tex]f(x)=\frac{1}{2}x+\frac{3}{2}[/tex]
Option 1
[tex]f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}[/tex]
[tex]=-\frac{1}{4}+\frac{3}{2}[/tex]
[tex]=-\frac{1}{4}+1+\frac{1}{2}[/tex]
[tex]=1+\frac{1}{4}[/tex]
[tex]=1\frac{1}{4}[/tex]
So, [tex]f(-\frac{1}{2} )=-2[/tex] is false.
Option 2
f(0) = [tex]\frac{1}{2}(0)+\frac{3}{2}[/tex]
= [tex]\frac{3}{2}[/tex]
True.
Option 3
f(1) = [tex]\frac{1}{2}(1)+\frac{3}{2}[/tex]
= [tex]\frac{3+1}{2}[/tex]
= 2
Therefore, f(1) = -1 is false.
Option 4
[tex]f(2)=\frac{1}{2}(2)+\frac{3}{2}[/tex]
[tex]=1+1+\frac{1}{2}[/tex]
[tex]=2\frac{1}{2}[/tex]
Therefore, f(2) = 1 is false.
Option 5
f(4) [tex]=\frac{1}{2}(4)+\frac{3}{2}[/tex]
[tex]=2+\frac{3}{2}[/tex]
[tex]=\frac{4+3}{2}[/tex]
[tex]=\frac{7}{2}[/tex]
True.
Options (1) and (5) are the correct options.
given the function f(x) = 2x^2 - 6x +4. calculate the following values
Answer:
x^1 = 1, x^2 =2
Step-by-step explanation:
its hard to explain but there's the answer
The volume of a cone with a diameter of 9 and a height of 120
Answer: 15268.1403 unit^3 (unit: cm,m,mm)
Step-by-step explanation:
volume of a cone= 1/2*pi*r^2*h
r= radius (unit: cm,m,mm)
h= perpendicular height (unit: cm,m,mm)
volume= 1/2*pi* (9)^2* 120 = 15268.1403 unit^3
What is the difference between equation and function?
A. All of the options
B. An equation tells us in a clear term the nature of relationship between one variable and the other variable(s), but a function may not be explicit enough
C. An equation and a function is that, for an equation each of the values of independent variable should give a corresponding value of a dependent variable , that is not compulsory tor a function.
D. All equations are functions but not all functions are equations
Answer:
A is the answer........
Can anyone help me with this question!
9514 1404 393
Answer:
D. (x² -2x -3) +(-x² +4x +2)
Step-by-step explanation:
The tiles on the first row model (x² -2x -3).
The tiles on the second row model (-x² +4x +2).
If the difference is being modeled, it will show as ...
(x² -2x -3) -(-x² +4x +2) = (x -2x -3) +(x² -4x -2) . . . . . matches none
If the sum is being modeled, it will show as ...
(x² -2x -3) +(-x² +4x +2) . . . . . matches D
_____
Additional comment
As is often the case, you can select the correct answer without even any understanding of the question. You can do that because the correct answer is the only one that is a true statement. All of the other answer choices are incorrectly "simplified."
The list price on slacks is $22, and the list price on jumpers is $37. If Petit’s Clothing Store orders 30 pairs of slacks and 40 jumpers at a discount rate of 11%, what is the trade discount on the purchase?
Answer:
The trade discount is
$235.4
Step-by-step explanation:
Given data
Slacks= $22
Jumpers= $37
Number of orders for Slacks= 30
Number of orders for Jumpers= 40
Total cost
22*30=$660
37*40=$1480
=$2140
11% discount can be computed as
=11/100*2140
=$235.4
1. The curved surface area of a cylinder of height 21cm is
660cm", find its radius. please help me .....
I will give brainliest.
Answer:
21 times 660 and then you will get the answer
PLEASEEEEEEEEEE HELPPPPPP PLSEASEEEE IM BEGGING SOMEONE PLEASEEEEEEEEEEEEEEEEEEEEEEEEE PLEASEEEEEE PLEASEEEEE
Answer:
30 degree
Step-by-step explanation:
x + x + 60 + 60 = 180 degree (being sum of interior angles of a triangle )
2x 120 = 180
2x = 180 - 120
x = 60/2
x = 30 degree
Answer:
I'm not quite sure but there is 180 degrees in a triangle and they give us two 60 degrees which add up to 120. So, I'm assuming x = 60 or either 30 degrees if we're solving for both the x's at the top.
I'm really sorry if this is wrong.
which figure shows the radius of circle O?
Answer:
D
Step-by-step explanation:
The radius of a circle refers to a segment connecting the center of the circle to the circumference of the circle. This can be seen in selection D), as a segment connects the center of the circle (O) to the circumference or outer edge of the circle.
The amount of increase from the cost to the selling price is called the?
Answer:
profit
hope it is helpful to you
Step-by-step explanation:
Markup is the percentage amount by which the cost of a product is increased to arrive at the selling price.
What is the value of x in the triangle?
3/2
X
help please<3
Answer:
x = 3
Step-by-step explanation:
Assuming the acute angle are 45degrees
Hypotenuse = 3√2
Opposite = x
According to SOH CAH TOA
Sin 45 = opposite//hypotenuse
Sin 45 = x/3√2
1/√2 = x/3√2
Cross multiply
√2x = 3√2
x = 3
Hence the value of x is 3
4. A certain bacteria doubles every day. If there are 810 bacteria on day one, how long will it take the bacteria to grow to 206550?
Answer:
255 daysStep-by-step explanation:
810 ÷ 206550 = 255Find the area of the figure below (Do Not put the units in your answer)
Answer:
54
Step-by-step explanation:
Area of rhombus= (12×9) ÷2
1. Find the length of X (in the picture) plssss I need help.
Step-by-step explanation:
[tex] \frac{5}{4} = \frac{x}{6} \\ 4x = 30 \\ x = 7.5[/tex]
20 POINT MATH PROBLEM HELP
Answer:
x=50
Step-by-step explanation:
EFI=HFG (diagonals bisect angles)
125=3x-25
125+25=3x
150=3x
150/3=3x/3
50=x
5+9+9 divided by 3= ?
How many vertices does a triangular prism have?
4 5 6 9
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Vertices are the vertex points. there are 4 vertices at the bottom and 2 vertices at the top which makes 6.
Hope this helps
Caleb types 100 words in 5 minsutes . What is the unit rate
Answer:
The unit rate is 20.
Step-by-step explanation:
Divide 100 (words) by 5 (minutes) to get 20 words every minute.
Write the equation of the line in Point-Slope Form given the information below. Slope =−1/5 Y-Intercept =−3 Point-Slope Form:
Answer:
[tex]y - 0= \frac{ - 1}{5}( x + 15)[/tex]
There are 12 squares and 9 circles . What is the simplest ratio of circles to total shapes?
:) sorry i put the wrong answer before bc i thought i knew it but it was the wrong one and i dont know how to delete the answer sorrryyyyyyyyyyyyyyyy
Learning Task 1: Conduct a survey of the favorite fruit of your classmates and/or friends 10 boys and 10 girls by
sending them messages on messenger or SMS. Use the table to record the data.
Favorite Fruit of My Classmate and Friends
Tally
Fruits
Boys
Girls
1. pineapples
2. ripe mangoes
3. rambutan
4. lansones
5. buko
Answer the following questions:
1. What is the set of data all about?
2. Which fruit is the favorite among the girls Boys
3. What is the least favorite fruit among the girls Boys
4. What is the top choice fruit of both girls and boys
5. What is the least favorite fruit of both boys and girls
Answer:
1 Its all about there favorite fruits
2 the favorite fruits of the girls are buko less than the boys.
3 the least fruit favorite fruits is pineapple among the girls boys.
4 the top choice of the fruit is the lansones both girls and boys.
5 the rambutan is the least favorite both of them
Step-by-step explanation:
Hope its help po pa brainlest
Answer:
girl
-apple
-masanas
boy
-lansones
-rambotan
sorry yan lang alam ko
5/8 + 3/4 / -2/3- 5/6.
Answer:
-5/16 or -0.3125
Step-by-step explanation:
Answer:
-11/12
Step-by-step explanation:
Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
In the population of young children eligible to participate in a study of whether or not their calcium intake is adequate, 52% are 5 to 10 years of age and 48% are 11 to 13 years of age. For those who are 5 to 10 years of age, 18% have inadequate calcium intake. For those who are 11 to 13 years of age, 57% have inadequate calcium intake.
Required:
a. Use letters to define the events of interest in this exercise.
b. Convert the percents given to probabilities of the events you have defined.
Answer:
(a) A = 5 to 10 years old
B = 11 to 13 years old
C = adequate calcium intake
I = inadequate calcium intake.
(b) P(A) = 0.52, P(B) = 0.48, P(I|A) = 0.18, P(I|B) = 0.57.
Step-by-step explanation:
Complete question
Please find the attached image
(a) A = 5 to 10 years old
B = 11 to 13 years old
C = adequate calcium intake
I = inadequate calcium intake.
b) P(A) = 0.52, P(B) = 0.48, P(I|A) = 0.18, P(I|B) = 0.57.
Find the selling price of a $32 item after a 50% markup.
The selling price is $
Answer:
The seelijg price is $48.
Step-by-step explanation:
Markup is the amount a store adds to its cost of an item to come up with the selling price.
store cost + markup = selling price
If the markup on an item is 50%, then the store adds 50% of its cost to its cost to arrive at the selling price.
$32 + 50% of $32 =
= $32 + 0.5 * $32
= $32 + $16
= $48
Answer:
50% of 32 is 16 so it it 16$
Eric wants to buy a new hat
which costs $17. He made
$5 by raking leaves and
$8 by washing cars.
How much more money does he need?
Answer:
the answer is 4
Step-by-step explanation:
you subtract 13 from 17 =4
ANSWER ASAPPP PLSSS. ILL MARK BRAINLIEST TOO
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 10(1.02)n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
Answer:
Part A
The domain should be 0 ≤n≤5
Part B
f(n) = 10(1.02)^n
The function is in the form y =a b^x where a is the y intercept
The y intercept is 10. This is the value when n =0 days.
Part C
The average rate of growth over the 4 days is .21 cm per day
Step-by-step explanation:
f(n) = 10(1.02)^n
Part A
Let f(n) = 11.04
11.04 = 10 * 1.02 ^n
Divide each side by 10
11.04/10 = 1.02^n
1.104 = 1.02^n
Taking the log of each side
log 1.104 = log 1.02^n
We know log a^b = b log a
log 1.104 = n log 1.02
log 1.104 / log 1.02 = n
4.99630=n
Rounding n to 5
The domain should be 0 ≤n≤5
Part B
f(n) = 10(1.02)^n
The function is in the form y =a b^x where a is the y intercept
The y intercept is 10. This is the value when n =0 days.
Part C
To find the average rate of change
f(5) - f(1)
-----------
5-1
f(5) = 11.04
f(1) = 10 *1.02 =10.2
11.04 - 10.2
-----------
5-1
.84
-----
4
.21 cm per day
The average rate of growth over the 4 days is .21 cm per day
Can someone answer with steps and explanation? Thanks.
Answer:[tex]\color{yellow}{}[/tex]
∆ABC
∆DEF
∆ABC
<C
<D
<X
BE>
CF>
AD>
34>
x9×>
A=3.7
15-9x 1/2
I’ll give Brainiest
Answer:
-9x/2 + 15/2
Step-by-step explanation:
(15-9x)* 1/2
15(1/2)-9x 1/2
15/2 -9x *1/2
15/2-9x/2
-9x/2 + 15/2
Answer:
21/2 ( SEE IMAGE BELOW)
Step-by-step explanation:
Calculate the product
15- 9/2
Calculate the Differnce
21/2
so the answer is 21/2