Answer:
A = 16010.32
Step-by-step explanation:
Given that,
[tex]A=P(1+\dfrac{r}{k})^n[/tex]
Put P = 10,000, r = 0.08, k = 2 and n = 12 in the above formula to find A.
[tex]A=10,000(1+\dfrac{0.08}{2})^{12}\\\\=10,000\times (1.04)^{12}\\\\=16,010.32[/tex]
So, the value of A is 16010.32. Hence, the correct option is (B).
Louis is buying groceries and stops at the deli counter to purchase sliced Swiss cheese. The deli uses a scale like the one shown to calculate the weight and price of deli purchases.
Suppose a country's population at any time t grows in accordance with the rule dP dt = kP + I where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. If the total population of the country at time t = 0 is P0, find an expression for the population at any time t.
Answer:
[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]
Step-by-step explanation:
Given that:
A country population at any given time (t) is:
[tex]\dfrac{dP}{dt}= kP+I[/tex]
where;
P = population at any time t
k = positive constant
I = constant rate of immigration into the country.
Using the method of separation of the variable;
[tex]\dfrac{dP}{kP+1}= dt[/tex]
Taking integration on both sides:
[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]
[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]
[tex]log (kP + I) =k t+kc_1[/tex]
By applying the exponential on both sides;
[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]
[tex]KP+I = e^{kt} *e^{kc_1}[/tex]
Assume [tex]e^{kc_1 }= C[/tex]
Then:
[tex]kP + I = Ce^{kt}[/tex]
[tex]kP = Ce^{kt}-I[/tex]
[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]
When time t = 0, The Total population of the country is also [tex]P_o[/tex]
[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]
[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]
[tex]P_o = \dfrac{C-I}{k}[/tex]
C - I = kP₀
C = kP₀ + I
Substituting the value of C back into equation(1), we have:
[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]
[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]
[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]
How much simple interest would Kaitlin earn on $300 at 6% for 3 months?
A. 27
B. 9
C. 54
D. 18
Answer:
C) $54.00
Step-by-step explanation:
300*6%*3
300*0.06*3
which is $54.
Hope this helps plz hit the crown :D
True or false
2+(-2) is equal to zero.
Answer:
It is TRUE.
Other:
Brainliest? Thanks!
will give bralist HELP ME PLEASE
Answer:
It would be a I think
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
How do you rotate triangle A",B",C" 270 degrees around the origin. coordinates A" (-1,1), B"(1,-2) and C"(0,-4)
9514 1404 393
Answer:
rotated vertices are (1, 1), (-2, -1), (-4, 0)
Step-by-step explanation:
When the rotation direction is not specified, it is usually taken to be counterclockwise. Rotation 270° CCW is the same as rotation 90° CW. The transformation of coordinates is ...
(x, y) ⇒ (y, -x)
Then your rotated points become ...
A(-1, 1) ⇒ A'(1, 1)
B(1, -2) ⇒ B'(-2, -1)
C(0, -4) ⇒ C'(-4, 0)
_____
In the attached, the rotated triangle is shown in red. As an example, the arc through which point C is rotated is shown.
Levante changes 24 650 Hungarian forints to dollars.
The exchange rate is $1 = 290 forints.
Calculate how many dollars Levante receives.
Someone helpppppp
The relation between the dollars and forints will be directly proportional. Then the number of dollars will be $ 85.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
Levante changes 24 650 Hungarian forints to dollars.
Then the relation between the dollars and forints will be directly proportional. Then we have
Let x be the number of the dollars. Then we have
x / 1 = 24650 / 290
x = $ 85
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
While President, Obama received an average of 60, 000 letters per week at the White House.
Approximately how many letters does he receive in a day?
Answer:
8571 letters per day
Step-by-step explanation:
60,000/1 week is the same as 60,000/7 days so
60,000/7 = 8571.428571
is aproximately 8571 letters per day
Find all the real square roots of -49
Answer:
-7
Step-by-step explanation:
Answer:
7i
Step-by-step explanation:
the square root of 49 is 7
i equals -1
7 squared times -1 equals -49
xoxo,your highness...Help with this problem!!!!
X/2-3=9
Answer:
pretty sure it's
2
−
3
=
9
\frac{X}{2}-3=9
2X−3=9
2
−
3
+
3
=
9
+
3
Find the mean, median, and mode of the data set 8 2 7 2 6 5
Answer:
Mean is 6, median 5.5, mode 2
Step-by-step
Answer:
mean=8+2+7+2+6+5
=30
30÷6=5
note: divide the total with it's sum.
median=7+2
=9
9÷2= 4.5
note: median is the middle no. since there is no middle no. so just add those two no. and divide it by 2.
mode= 2
since it occurs twice
How many 1/2 yard lengths are in 1 yard
Answer:
1/2 yard is equal to 18 inches
Step-by-step explanation:
what percent of 30 is 16.5..................................
The sum of 2 numbers is 84 if one number is 4.less than the other find the numbers
Answer:
one number= x = 44
the other number= (x-4)= 40
Step-by-step explanation:
one number= x
the other number= (x-4)
x + (x-4) = 84
2x= 84+4
2x= 88
x= 88/2= 44
one number= x = 44
the other number= (x-4)= 40
The amount of change that goes up
Answer:
rates of change, positive or negative
Step-by-step explanation:
If it takes 3 gallons of gas to go 60 miles, how many gallons of gas does it take to go 440 miles at the same rate?
Answer:
it would take 22 gallons of gas
Step-by-step explanation:
3 divided by 60
that’s the amount of gas per single mile
then that number times 440 (number of miles you wish to go).
one and two-thirds divided by 3
Answer:
5/9
Step-by-step explanation:
Can you please tell me if this is a function or not
There are six doors in a hostel .In how many ways a student enters the hostel and leave by different door
Answer:
5 times
Step-by-step explanation:
Because he enters through the front door.
how many men have a waist measurement of more than 85cm
Answer:
29
Step-by-step explanation:
Help I’ll mark you brainly! And give extra points!
Answer: I think #2 is either A or C
Step-by-step explanation: Hope it helped! :)
If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?
Answer :
R = 6.25%
Solution,
Let P is the principal. It means interest will be :
I=3/8 P
The formula for the interest is given by :
[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]
Hence, the rate of interest is 6.25%.
Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4), B(-1,-4), C(-1,-12), D(7, -12)
a. rhombus c. square, rectangle, rhombus
b. square d. rectangle
Given:
Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).
To find:
Whether the parallelogram ABCD is a rhombus, rectangle or square.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]AB=\sqrt{(-4-(-4))^2+(-1-7)^2}[/tex]
[tex]AB=\sqrt{(-4+4)^2+(-8)^2}[/tex]
[tex]AB=\sqrt{0+64}[/tex]
[tex]AB=8[/tex]
Similarly,
[tex]BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8[/tex]
[tex]CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8[/tex]
[tex]AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8[/tex]
All sides of parallelogram are equal.
[tex]AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}[/tex]
[tex]BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}[/tex]
Both diagonals are equal.
Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.
We know that, a square is special case of rectangles and rhombus.
So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.
L.B Johnson middle miguel took part
Answer:
Johnson Middle School held a track and field event during the school year. Miguel took part in a four-person shot put team. Shot put is a track and field event where athletes throw (or "put") a heavy sphere, called a "shot," as far as possible.
Step-by-step explanation:
PLZZ MARK BRAINLIEST!!!!!
backpacks originally cost $24 but if 40% back to school sale is going on determine the sale price of the backpack.
I need help right now
Really Important!!!!!!!
Answer: The price is now 14.40
Step-by-step explanation: The difference is 9.60
Simplify fractions
3\10
1/8
Answer:
Already simplified
Step-by-step explanation:
Answer:
Step-by-step explanation:
its preety simple you just have to divide 3/10 and 1/8 and you will get your two answers
Which relation below is not a function
Answer:
its c i believe <3
Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened in the bank
Answer:
Step-by-step explanation:
False,true,true
Find the measure of X
Answer:
For the first one =5.29150262
Step-by-step explanation:
8 squared - 6 squared =64-36=28
square root of 28=5.29150262
A principal purchased a total of 32 gas cards and movie passes for prizes. Each gas card cost $25.75, and each movie pass cost $7.25. If the principal spent a total of $454.00, how many gas cards did the principal purchase?
Answer: 12
Step-by-step explanation: 25.75a+7.25b=454
a+b=32