When interest compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]A = P (1 + \frac{r}{n} )^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
If the interest compounded continuously:
P = $12000, r = 4.5% = 0.045%
⇒ [tex]A (t) = 12000 (e)^{0.045t}[/tex]
When t = 10 years, plug this value in the above expression and calculating, we get;
A(10) = $18819.75
When interest compounded daily:
[tex]A(t) = 12000 (1 + \frac{0.045}{365} )^{365t}[/tex]
Plug t = 10 years:
We get;
A(10) = $18819.22
Similarly, If interest is compounded monthly:
n = 12 and t =10, we get:
A(10) = $18803.91
Thus, when interest compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.
Learn more about the compound interest here:
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What is 15,000 in percentage
Add more details to answer
Helpful source:
https://percent-calc.com/what-is-9-of-15000
Answer:
7%
Step-by-step explanation:
im not sure but thanks me later
Adam has a ladder that is 6m long. His ball got stuck in a tree, and he wants to use the ladder to get it down. He puts the ladder 2m away from the base of the tree. How high will the ladder reach? Round your answer to the nearest tenth of a meter.
Please help I really need it !!
(anything would be helpful) - Urgent
Answer:
0.08
Step-by-step explanation:
help me with math please ❤️❤️❤️❤️
Answer: (0.-7)
Step-by-step explanation:
Take the equation
y=x-7
The last number 7 is the Y-intercept
(0.-7)
Answer:
(0,-7)
Step-by-step explanation:
Hey There!
So we can easily find which one is a solution but taking an order pair and plugging in the x value
then we solve for y and if we get the value of y that is with the matching x value then it is a solution
for example for the first pair we plug in -1 to x
-1-7=-8
-8 does not equal -6 therefore the first one is not a solution
for the second one we plug in 0 to x
0-7=-7
-7=-7 therefore it is a solution
but lets just check the rest to be safe
for the third one we plug in 8 to x
8-7=1
-1 does not equal 1 thus it is not a solution
for the last one we plug in -1
-1-7=-8
-8 does not equal 6 therefore it is not a solution
so we can conclude that the second one is a solution
can someone help me please
1. Point A(3,7), Scale Factor (k) = 2
Find the Point A'(
Answer:
(6,14)
Step-by-step explanation:
A 2-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 125-ft shadow. How tall is the cell phone tower?
Answer:
1249. 5 inches
Step-by-step explanation:
Pole length , Pl = 2 fts
Pole shadow, Ps = 20 in = (0.0833 * 20) = 1.666 ft
Tower length, Tl = 125 ft
Tower shadow, Ts = x
Pl / Ps = Tl/ Ts
2/ 1.666 = 125 / x
Cross multiply
2x = 125 * 1.666
2x = 208.25
x = 104.125 ft
x = 104.125 * 12 = 1249. 5 inches
You have only $5 bills and $10 bills in your pocket. If you have ten bills totaling $70, how many of each do you have?
Using the order of operations, what should be done first when evaluating this expression? -1/2 ÷ 2 (9 + 3) - 4 - 3/4 (8)
divide -1/2 ÷2
add 9 + 3
multiply -3/4 (8)
subtract 3 - 4
Answer:
multiply -3/4 (8)
Step-by-step explanation:
what is 6 divided by 10.00 (show work)
Answer:
3/5
Step-by-step explanation:
6/10 => 3/5
in decimal form its 0.6
Answer:
6÷1000=0,6
Step-by-step explanation:
6÷1000=0,006
0,6/100=
0,6%
the Correct answer is 0,6
what is the square root of 49/64?
Answer:
8/7
Step-by-step explanation:
mark me brainliest
Answer:
49/64
= √49/√64
= √ (49/64)
= 7/8
What is the equation for the line that has a slope of -2 and a y-intercept of (0,9)?
Answer:
y=-2x+9
Step-by-step explanation:
Chad is taking a taxi from the airport to his home. There is a $7 flat fee for riding in the taxi. In addition, Chad must pay $2 per mile. How much will Chad pay if he takes the taxi for 50 miles? Group of answer choices
Answer:
$107
Step-by-step explanation:
Total amount paid = flat fee + price per mile x total mile
$7 + 50($2) = $107
The measures of Z1 and 22 are 30% and 45% of the sum of the angle measures of the triangle. Find
the value of x.
Answer:
45 degree or 25%
Step-by-step explanation:
sum of angles of triangle= 180 so
[tex]180*\frac{30}{100}=54[/tex]-----> angle 1
(note: 30% is equal to [tex]\frac{30}{100}[/tex])
[tex]180*\frac{45}{100} =81[/tex]------> angle 2
lets add angle 1 and 2 together
54+81=135
now lets subtract it from 180 to get the remained angle
180-135=45 and if you want it in % so you just get 100%-(30%+45%)= 25%
3) Qual das fórmulas abaixo é prevista para o
composto formado por átomos de fósforo (Z =
15) e flúor (Z = 9), considerando o número de
elétrons da camada de valência de cada átomo? a forma da letra
Answer:
P - Tem 5 elétrons na última camada de valência. Quer ganhar 3 elétrons.
F - Tem 7 elétrons na última camada de valência. Quer ganhar 1 elétron.
PF3
Since 1900, the Audubon Society has conducted an annual Christmas bird count, documenting the number of birds of each species seen in locations across the country. In the 2011 Christmas bird count, there were 3,813 red-tailed hawks seen and counted in Texas. In the 2012 count, there were 4,511 red-tailed hawks counted in Texas. Calculate the growth rate by dividing the difference in the numbers seen in the two years by the number seen in 2011. Then use this value to calculate the estimated population of red-tailed hawks in Texas in 2022, if the growth rate remains constant.
Answer:
The answer is 23,610
Step-by-step explanation
First: 4,511-3,813= 698
Second: 698/3,813 = 0.18
Third: 4,511(1+0.18)^10 {could be put on a ti-84 calculator}
Answer: About 23,610 ( This is an estimate as the answer is an decimal)
I hope this helps! :)
if you know how to do it correctly, please help me only.
Answer:
1&2 Perpendicular
1&3 Parallel
2&3 Perpendicular
Step-by-step explanation:
I put it in the Desmos Calculator
if anyone knows help :]
can i get some help pls i don't know how to write this equation
Answer: x = (log(y) /(400 log1.0065) or x = log(initial cost)/1.126
Step-by-step explanation: Take the log of both sides of your equation:
log(y) = log(400)(1.0065)^x
log (y) = log 400 + log(1.0065)^x
Subtract log(400) from both sides:
log(y) - log 400 = xlog(1.0065)
Divide both sides by log(1.0065)
[log(y) - log(400)]/log(1.0065) = x
Now, if you want to know how many years it will take for the guitar to be worth $200, replace y with 200 and solve.
Type the correct answer in each box. Use numerals instead of words. The sum of two numbers is 84. The square of the first number is 6 more than the second number. Write a system of equations to find the value of x, the first number, and y, the second number.
y = -x + ____
y = x^2 + ____
Answer:
84, -6
Step-by-step explanation:
y= -x+84
y= x^2+(-6)
The system of equations used to find the value of x is:
y = -x + 84
y = x² - 6
Let x represent the first number and y represent the second number.
The sum of the two numbers is 84, hence:
x + y = 84
y = -x + 84 (1)
The square of the first number is 6 more than the second number. Hence:
x² = 6 + y
y = x² - 6 (2)
The system of equations used to find the value of x is:
y = -x + 84
y = x² - 6
Find out more at: https://brainly.com/question/21105092
What is the multiplicative identity of the complex number 4 + 8i
Answer:
1
Step-by-step explanation:
when you multiply an complex number by its multiplicatuive identity, in case 4+8i, you would multiply both the top and the bottom by 4-8i which is actually the value one since we cannot actually change the whole value of the number. By multiplying it by 1 and we get the same value without the imaginary number
(sorry if this doesn't make sense but I hope it helps)
about that did you forget to put -4 + 8i just to make sure about it because I am not sure if you forget it or not just making sure
Answer:
1
Step-by-step explanation:
Which of these is a binomial? O A. x + 2y2 - 7 O B. ab O C. 5xy O D. 2x3 - 7y3
Answer:
D
Step-by-step explanation:
2 terms
NOT
0.91666666666 as answer please
Answer:
11/12
Step-by-step explanation:
2/12 +9/12 = 11/12
help now plssssssssss
Answer:
1) 8
2) -27
Step-by-step explanation:
3 - (-5)
3 + 5
8
-33 - (-6)
-33 + 6
-27
Answer:
Top one is 8.
Bottom one is -27.
Step-by-step explanation:
A double negative equals a positive; therefore, it is essentially 2 + 5
and
-33 + 6
What is m Using the hexagon
what's the domain function for y=(x+1)(x-9)
Answer:
Step-by-step explanation:
Division by zero is undefined, so the only restriction on the domain, the values of x is that x cannot equal 9. So the domain is all real numbers except 9. Or in interval notation
x=(-oo,9),(9,+oo)
Answer:
All real numbers
Step-by-step explanation:
y = (x+1)(x-9)
y = x² - 8x - 9
There are no asymptotes, restrictions of x, or holes.
Easy questions! I will give brainliest! Tysm!
What is the area of a square with side lengths of 3/5 units?
What is the side length of a square with area 1/16 square units?
What is the side length of a square with area 1/16 square units?
What is the side length of a square with area 1/16 square units?
Answer:
Step-by-step explanation:
area square = side²
(3/5)²
√(1/16)
√(1/16)
√(1/16)
A flagpole casts a shadow 200 feet long. At the same time, a boy 6 feet tall casts a
shadow 24 feet. What is the height is the flagpole?
Answer:
800 feet I think
Step-by-step explanation:
6x4=24. 200x4=800.
For square ABCD, if m∠ACB = (8x – 27)°, find the value of x.
Answer:
x=9
Step-by-step explanation:
Since ABCD is a square, we know that AC bisects ∠BCD(=90), and therefore ∠ACB=45.
8x-27=45
8x=72
x=9
Answer:
x = 9°
Step-by-step explanation:
∠ACB = 45° because line AC bisects ∠BCD which is 90° (because square).
8x - 27° = 45°
add 27° to each side:
8x = 72°
divide both sides by 8:
x = 9°
Here is the graph for one equation in a system of equations.
Answer:
There is no graph here
Step-by-step explanation:
The measure of an angle is 77°. What is the measure of its complementary angle?
Answer:
13º
Step-by-step explanation:
Complementary angles are angles that add up to 90º. So, subtract 77 from 90, and you get 13.