find the amount accumlatrd after investing a principal P for t years at an interest rate compound annuay. P= $12,000 r=7.5% t=7
Answers
Answer:
A = $19,908.59
Step-by-step explanation:
Compound Interest
Compound interest occurs when the interest earned in a given period is reinvested rather than paying it out. The interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{k}}\right)^{kt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
k = number of times interest applied per time period
t = number of time periods elapsed
We are given the following data:
P = $12,000
r = 7.5% = 7.5/100 = 0.075
t = 7
k = 1 since there is only on compounding per year.
Applying the formula:
[tex]{\displaystyle A=\$12,000\left(1+{\frac {0.075}{1}}\right)^{7}}[/tex]
[tex]{\displaystyle A=\$12,000\left(1.075\right)^{7}}[/tex]
A = $19,908.59
Related Questions
Evaluate the following absolute value function for x=-1
y = 5|x+4|
Answers
Answer:
y=15
Step-by-step explanation:
y = 5|-1+4|
y=5|3|
y=15
HIIIIIIIIIIIIIIIIII
ADDDDDDDDD MEEEEEEEHHHHHHHHHHHH!!!!!!!!!!!!!!!!!
PLLLLLLLLLSSSSSSSSSSSSSSSS
Answers
Answer:
40, because 40 is 2/5ths of 100.
Mark brainlyest pls
Step-by-step explanation:
Answer:
hi
the answer is 60
Step-by-step explanation:
hope it helps and have a nice day!!! :)
Brainiest is appreciated it would really help
which of the following best describes rotational symmetry
Answers
Answer: B
Step-by-step explanation:
A best describes the quality of symmetry, not specifically rotational symmetry.
C applies to that of A.
D applies to flipping an image across an axis.
B specifically outlines the symmetry of an object when rotated, thus B would be the most precise answer.
pleassssssssse hellpp
Answers
Answer:
c
Step-by-step explanation:
Mikaela will invest $2,500 in an account that pays her 7.5% over 2 years. How much interest will she receive? Also, how much will she make total?
Answers
Answer:
i. $375
ii, $2875
Step-by-step explanation:
Given
Princinpal= $2,500
rate= 7.5%
time= 2 years
Required,
The simple interest, and the final amount
Step two:
SI= PRT/100
SI= 2500*7.5*2/100
SI=37500/100
SI=$375
The simple interest is $375
And the final amount = $2,500 +$375= $2875
|7-8| • 4 + 3 (-1) ???????
Answers
Answer:
1
Step-by-step explanation:
|7-8| • 4 + 3 (-1) =
= |-1| • 4 + (-3)
= 1 • 4 - 3
= 4 - 3
= 1
How much cinemeters is 5 inches
Answers
Answer:
5 inches is equal to 12.7 centimeters.
Step-by-step explanation:
There is 2.54 centimeters in an inch so just multiply that by 5 and you get 12.7.
Answer:
12.70 cm hope it is right
Step-by-step explanation:
Find the measure of the largest angle
15x
24x
21x
Answers
Answer:
15€9 44090 4 lt pi jtnteu
Step-by-step explanation:
Nugyt merhaba Seher vakti geldi artık bu kadar güzel bir haber var 6sınıf merhaba hocam ben Sude ödevim tamam 44482644444 bir
A photographer charges $25 to travel to a client's location, plus $55 per hour for her
services. What is the duration, in hours, of a photography session that costs $465?
Answers
Answer:
8 Hours
Step-by-step explanation:
First, you have to subtract the 25$ because we already know that that is a stable value (meaning it will not change)
Then, you have to divide 440 by 55 to get an answer of 8 hours for the session :D
To find total multiply 55 by number of hours (h) and then add 25:
Total = 55h + 25
Given the total solve for h:
465 = 55h + 25
Subtract 25 from both sides
440 = 55h
Divide both sides by 55
H = 440/55
H = 8
It was 8 hours
what percent of 30 is 16.5..................................
Answers
Sara went to breakfast with her family. What is the total cost is the sales tax is 6%?
Answers
Answer:
divide/multiply
Step-by-step explanation:
search it up its simple
message
Isabella, Marcus, Carl, Devon, and Taylor are to be seated together in a row. If Carl and Devon must sit next to each other, how many different ways can the five people be arranged?
Answers
Answer:
24
Step-by-step explanation:
4 numbers can be arranged that many times and Carl and Devon count as one since they need to sit next to one another!
What is the value of the expression below when x=5?
Answers
Answer:
790
Step-by-step explanation:
You put 5 instead of x and you calculat
6*5^3 +8*5= 750+40=790
If 65% of students in a class like Mathematics, what percent of the students do not like Mathematics
Answers
Answer:
forty five percent 45% go for it
At 10 AM Han and Tyler both started running towards each other from the opposite end of 10 mile path along the river. Han runs at a pace of 12 minutes per mile.Tyler wanted a piece of 15 minutes per mile.how far does Han one after an hour?
Answers
Answer:
Han will run 5 miles in 1 hour.
Reading and Writing Decimal Numbers through Ten Thousandths
A. Write each decimal in words.
1. 0.016
2. 0.0024
3. 0.0084
4. 26.0037
5. 9.368
Answers
Answer:
1. Sixteen thousandths 2.Twenty-four Ten-thousandths 3.Eighty-four Ten-thousandths 4. Twenty-six And Thirty-seven Ten-thousandths 5.Nine And Three hundred Sixty-eight Thousandths
A pizza with one topping costs $11.
Each additional topping costs $2
more. Write a recursive formula
and an explicit formula for the
situation.
explicit formula:
recursive formula:
Answers
Given:
A pizza with one topping costs $11. Each additional topping costs $2 more.
To find:
The recursive formula and an explicit formula for the situation.
Solution:
The sequence of costs of pizza is
11, (11+2), (11+2+2), ...
11, 13, 15, ... are in A.P.
Here,
First term: a=11
Common difference: d=2
Explicit formula of an A.P. is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
[tex]a_n=11+(n-1)2[/tex]
[tex]a_n=11+2n-2[/tex]
[tex]a_n=9+2n[/tex]
Therefore, the explicit formula for the situation is [tex]a_n=9+2n[/tex].
Recursive formula of an A.P. is
[tex]a_n=a_{n-1}+d[/tex]
Where, [tex]a_1[/tex] is first term and d is common difference.
[tex]a_n=a_{n-1}+2[/tex]
Where, [tex]a_1=11[/tex].
Therefore, the required recursive formula is [tex]a_n=a_{n-1}+2[/tex] where [tex]a_1=11[/tex].
Keenan found a basketball on
sale for 15% off. If it cost
$39.99, what was the sale
price?
Answers
Answer:
$34
Step-by-step explanation:
Take 15% and multiply by $39.99
.15 x 39.99 = 5.99 (or, 6 rounded up)
Then, subtract that from the original price. $39.99 - 5.99 = $34
[tex]\frac{d}{dx} \int t^2+1 \ dt[/tex]
There is a 2x on the bottom and x^2 on top of the integral symbol
Please help me my teacher did not teach us this:(
Answers
Answer:
[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} \ = \ 2x^5-8x^2+2x-2[/tex]
Step-by-step explanation:
[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} = \ ?[/tex]
We can use Part I of the Fundamental Theorem of Calculus:
[tex]\displaystyle\frac{d}{dx} \int\limits^x_a \text{f(t) dt = f(x)}[/tex]Since we have two functions as the limits of integration, we can use one of the properties of integrals; the additivity rule.
The Additivity Rule for Integrals states that:
[tex]\displaystyle\int\limits^b_a \text{f(t) dt} + \int\limits^c_b \text{f(t) dt} = \int\limits^c_a \text{f(t) dt}[/tex]We can use this backward and break the integral into two parts. We can use any number for "b", but I will use 0 since it tends to make calculations simpler.
[tex]\displaystyle \frac{d}{dx} \int\limits^0_{2x} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]We want the variable to be the top limit of integration, so we can use the Order of Integration Rule to rewrite this.
The Order of Integration Rule states that:
[tex]\displaystyle\int\limits^b_a \text{f(t) dt}\ = -\int\limits^a_b \text{f(t) dt}[/tex]We can use this rule to our advantage by flipping the limits of integration on the first integral and adding a negative sign.
[tex]\displaystyle \frac{d}{dx} -\int\limits^{2x}_{0} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]Now we can take the derivative of the integrals by using the Fundamental Theorem of Calculus.
When taking the derivative of an integral, we can follow this notation:
[tex]\displaystyle \frac{d}{dx} \int\limits^u_a \text{f(t) dt} = \text{f(u)} \cdot \frac{d}{dx} [u][/tex]where u represents any function other than a variableFor the first term, replace [tex]\text{t}[/tex] with [tex]2x[/tex], and apply the chain rule to the function. Do the same for the second term; replace
[tex]\displaystyle-[(2x)^2+1] \cdot (2) \ + \ [(x^2)^2 + 1] \cdot (2x)[/tex]Simplify the expression by distributing [tex]2[/tex] and [tex]2x[/tex] inside their respective parentheses.
[tex][-(8x^2 +2)] + (2x^5 + 2x)[/tex] [tex]-8x^2 -2 + 2x^5 + 2x[/tex]Rearrange the terms to be in order from the highest degree to the lowest degree.
[tex]\displaystyle2x^5-8x^2+2x-2[/tex]This is the derivative of the given integral, and thus the solution to the problem.
One card is drawn from a deck of 13 cards numbered 1 through 13. Find the following probabilities. (Enter your probabilities as fractions.)
Find the probability that the card is even or divisible by 3.
Answers
Answer:
the probability is 6/13
Need help with this one will mark brainliest
Answers
Answer:
Pretty sure it the 1st one
please help me im very behind
Answers
Answer:
y=4/3x+4
Step-by-step explanation:
The change is Y is +4 and in X in +3, which is how we get the slope..4/3.
And the y-intercept would be 4, which is when x is at 0.
Hope this helps!
Answer:
y=4/3x+4
Step-by-step explanation:
plz help!! will give brainliest!
Answers
Answer:
C) 13
Step-by-step explanation:
Ok so
8√3
if i give Mr_MunchlyYumYum 800 bobux and gave him an extra 372 bobux and then cool nbayoungboy182 saw the bobux and took 1000 bobux and then bigwetslimyfart took 341 bobux from nbayoungboy182. nbayoungboy182 gives Mr_MunchlyYumYum 532 bobux. how much bobux does Mr_MunchlyYumYum have? (answer question for 46586373687634587476523498567823686857643872 bobux)
Answers
Answer:
EZ! 362 bobux
GO TO FLIMFLAM.SHOP
Thirty-five less than the square of a number is the same as 2 times the number. Find the number
Answers
9514 1404 393
Answer:
-5 or 7
Step-by-step explanation:
Let x represent the number. The problem statement tells us ...
x^2 -35 = 2x
x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form
(x -7)(x +5) = 0 . . . . . factor
x = 7 or x = -5 . . . . solutions are values of x that make the factors zero
The number could be either -5 or +7.
what is the coordinates of the point where y-4x=1 crosses the y-axis
Answers
Answer:
(0, 1)
Step-by-step explanation:
you have to put the equation in the slope point form
y=mx+b and here b is the y-intercept (where it crosses the y axis)
y-4x=1 add 4x to both sides
y=4x+1 so the coordinats are (x=0, y=1)
What number should go into the blank so that the two expressions are equivalent to each other? (Use only the digits 0 - 9 to write the number.)
b + b – 1 + b + b + 10 = __b + 9
Answers
Answer:
4.
Step-by-step explanation:
lets just say the unknown is x.
[tex]b+b-1+b+b+10=bx+9\\4b+9=bx+9\\4b=bx\\4=x\\[/tex]
Hope this helps :D
Question 2: 5 pts
A machine costs $50,000. Its value depreciates by 15% after each year. Identify the graph of the sequence and
the correct description of its pattern. Then identify the value of the equipment at the end of 8 years.
Answers
Answer:
The value is decreasing by $7500 each year
At the end of 8 years, the equipments value is -$10000
Step-by-step explanation:
15% of 50000 is 50000*15/100=7500
To find the end of 8 years, you subtract the sum of 7500*8 from 50000
7500*8=60000
50000-60000=-10000
1,1,2,3,5,8, ______, ______, _______, _________, _______.
What is the filling blanks and Conjecture?
Answers
12 20 32 52 84 hope I helped
Simplify each expression. (Will Give Brainlest)
Answers
Answer:
0.88
Step-by-step explanation:
-5.37 + 8.14 - 1.89
-5.37 + 6.25
= 0.88
Step-by-step explanation:
please i worked on paper worksheet
please see it