Answer:
11 years
Step-by-step explanation:
Double of the amount deposited = $350 × 2 = $700
First, convert R as a percent to r as a decimal
r = R/100
R = 6.3%
Hence,
r = 6.3/100
r = 0.063 per year,
Then, solve the equation for t = time, the formula is given as:
t = ln(A/P) / r
A = Doubled amount = $700
P = Principal = Initial amount = $350
t = ln(700.00/350.00) / 0.063
t = 11.002 years
Approximately , t = 11 years
Therefore, it will take 11 years for your money to double.
The price of a car is currently 120,000$. The price of the car decreases annually by 2.5%. What is the price of the car after 8 years?
Answer:
97,988.216
Step-by-step explanation:
So, we can find this by using the following formula:
First value(change)^time
We know that the orginal, or first value, is 120,000.
We know that the time interval for this is 8 years, which is our time value.
We know that the decrease in this price is 2.5%. However, this is not our change.
Our change is the 97.5% price that is left.
This makes sense, because you would get a super small price when you use 2.5% as change.
So to sum up what we have done so far:
First value - 120,000
Change - 100%-2.5% = 97.5%. In decimal form: 0.975
Time - 8
So lets plug these into:
[tex]First_.value(change)^t^i^m^e[/tex]
=
[tex]120,000(0.975)^8[/tex]
And remember your order of operations here.
We dont have any equations or expressions inside the parethese, so we can move on to what comes next - exponents.
We have the exponent 8, which is attached to the 0.975.
So in your calculator, take 0.975, and put it to the 8th power.
You should get 0.816651803662261962890625
Lets leave it like this, becuase 120,000 is a very large value, and rounding what you multiply could change what you get in the end.
Now our equation looks like:
120,000(0.816651803662261962890625)
We have done parethese, exponents - now we have multiplication and division.
We do indeed have this, since 120,000(0.816651803662261962890625) could also be written as:
[tex]120,000*0.816651803662261962890625[/tex]
Now multiplying this you should get:
97,998.216439471435546875
This is where you can round your answer.
I do not know what exactly they want you to round to, so its safe to just round your answer to the hundreths place:
97,998.22
So this is the new price of the car!
Hope this helps!
oh I did a mistake earlier , pardon ^^"
Current price (Pₒ) = 120, 000 $Rate of Depreciation (R) = 2. 5% Total Time = 8 yearsLet price after 8 years be P.
Using the compound interest formula of shrinking principal :-
P = Pₒ( 1 - R/ 100) ᵀ
P = 120, 000 ( 1 - 2.5/ 100)ᵀ
P = 120, 000 { (100 - 2.5)/ 100}ᵀ
P = 120, 000{ 97. 5/ 100 }ᵀ
P = 120, 000 {0. 975 } ⁸
P = 120, 000 { 0. 8166}
P = 97,998.216 $
Since, P is is price after 8 years
Answer:-The price of the car after 8 years will be 97, 998. 216 $
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.
Please explain in detail, I am confused
Answer:
read the comments i cant help you yet but if you read the comments and do what they say then i can help you
Step-by-step explanation:
Find the breadth of a rectangular park whose area is 54.6 sq m and 15.6 m long
Answer:
breadth = 3.5 m
Step-by-step explanation:
length = 15.6 m
Area of rectangle = 54.6 sqm
breadth = [tex]\frac{Area}{length}[/tex]
[tex]= \frac{54.6}{15.6}\\\\= \frac{54.6*10}{15.6*10}\\\\=\frac{546}{156}\\\\= 3.5[/tex]
Fill in all of the missing measure in the special right triangles shown below
Answer:
a=14
b=9.9
Step-by-step explanation:
for a.....
sin 45 = opposite/hypotenuse
sin 45 = (7√2)/a
make a the subject of the formula....
a = (7√2)/sin 45
a = 14
for b.....
tan 45 = opposite/hypotenuse
tan 45 = (7√2)/b
make b the subject of the formula...
b = (7√2)/tan 45
b = 9.9
A pair of sandals cost 29 Sarah has one $20 bill , one $ 5 bill, and three $ 1 bills. How much more money does she need to buy the sandals ?
Answer:
sarah needs $3 more to buy the sandals
Step-by-step explanation:
Tim has 5 yellow and 10 blue marbles in a bag. What is
the probability of choosing a yellow marble from the
bag?
Answer:
1/2 chance
Step-by-step explanation:
5 and 10 can be divided down to 1/2
17 points Please help me with the answer and understanding
•Please actually help me out I want to better understand this
•trolls will be reported
Because the graph is starting high and going down, your answer is c- exponential decay
Answer:
This is exponential decay.
Step-by-step explanation:
Lets break down the answers:
A: Linear Growth. Well, we can eliminate this because the line is going down, its decay. Also, linear means line, a straight line.
B: Exponential Growth. This might work, but then again, it says *growth* not decay. Exponential is correct because as the values get bigger and bigger, the line curves.
C: Exponential Decay. Yes! This is exactly what we need. Exponential because of the curve... and of the decay.
D: Linear Decay. No, linear, again, is for lines. But now, we have already eliminated it because it says linear.
4) Determine the solution. Show your work.
17 + x2 = 42
================================================
Work Shown:
17 + x^2 = 42
x^2 = 42-17
x^2 = 25
x = sqrt(25) or x = -sqrt(25)
x = 5 or x = -5
I need help can anyone help me
Answer:
480 in^3
Step-by-step explanation:
If I'm wrong please correct me. I used the formula-lwh for each of the figures and then added them to find the sum.
Larger figure: 8 times 10 times 5
80 times 5=400
Smaller figure: 5 times 4 times 4
20 times 4=80
400 plus 80 equals 480 in^3
Hope I helped :)
a rectangle has the height of n^3 + 4n^2 and the width of n^3 + 5n^2
Answer:
2^3
Step-by-step explanation:
Can someone help me on number 5!!!
f(x).g(x)
(2x-1).(3)
answer: 6x-3
Help this is confusing
What is the inverse function of f(x) = x/x-2
The Answer is A because it's Marie and I have been working with the other kids Jimmie I know I did it
Moesha cuts a spherical orange in half along a great circle. The radius of the orange is
2 inches. Find the approximate total volume of the orange to the nearest tenth of a cubic inch
The nearest tenth, the total volume of the orange is approximately 33.5 cubic inches.
To find the volume of a sphere, we use the formula:
[tex]Volume = (4/3) \times \pi \times radius^3[/tex]
Given that the radius of the orange is 2 inches, we can substitute this value into the formula:
[tex]Volume = (4/3) \times 3.14 \times 2^3[/tex]
Simplifying this calculation:
[tex]Volume = (4/3) \times 3.14 \times 8[/tex]
Volume = 33.49333333..
Note: To calculate the volume of a three-dimensional object, you need to know the appropriate formula based on the shape of the object.
Here are the formulas for calculating the volume of some common three-dimensional shapes:
Sphere: Volume[tex]= (4/3) \times \pi \times radius^3[/tex].
For similar question on sphere.
https://brainly.com/question/30722062
#SPJ11
Jasmine bought a new IPhone for $1000. The value of the phone depreciates 9% each year. What will the phone be worth after 4 years?
cotA + tanA= secAcosecA
Step-by-step explanation:
cotA + tanA
= cosA / sinA+ sinA/ cosA
= cos2A + sin2A / sinA* cosA
= 1 / sinA* cosA
=1/ sinA * 1/ cosA
= cosecA *secA
=secAcosecA
[tex]\frac{cos^2A + sin^2A}{sinAcosA}[/tex]Answer:
Step-by-step explanation:
cotA + tanA = secAcosecA
LHS=cotA + tanA
=[tex]\frac{cosA}{sinA}[/tex] + [tex]\frac{sinA}{cosA}[/tex]
take lcm of the denominator
=[tex]\frac{cosA*cosA + sinA*sinA}{sinAcosA}[/tex](COS^2A + sin^2A =1)
=[tex]\frac{1}{sinAcosA}[/tex]
=1/sinA * 1/cosA
=cosecA*secA
=secAcosecA
therefore LHS=RHS
hence proved.
1. Which 3 numbers have the same answer whether they’re added or multiplied together?
^Brainliest anyone^
Answer:
1, 2, 3
Step-by-step explanation:
1 + 2 + 3 = 6
1 * 2 * 3 = 6
What is a carbon footprint? What are some actions you can take to reduce your carbon footprint?
Gerry worked 314 hours on Thursday, 425 hours on Friday, and 612 hours on Saturday. How many hours did he work in all during the 3 days? Will give brainliest.
Answer:
1351 hours....that question doesn't make sense though because you can only work 24 hours every day.
Step-by-step explanation:
Answer:
1351 hours
Step-by-step explanation:
You add the time of all the dates up
P(x)=1−2x2+3x+2x5 what type of polynomial is this?
If a letter was chosen at random from the word SPORTSMANSHIP, which of the following is closest to the probability that it would be a vowel?
What is the length of the apothem if each side of the hexagon is 4 in long? I will reward brainliest to best answer :))))
please help find x!! asap
Answer:
x = 60
Step-by-step explanation:
The angle 30 is on the same vertical line as the angle that is adjacent to the missing angle x. they form 90 degrees.
need help quickkkk!!
Answer:
1 + 1 = 1 is the correct answer ok
Answer:
1+1 is 2 it is wrong here in explanation it is good way to solve
Step-by-step explanation:
take 1 finger and 1 more finger how much is it 2 ! ok so bye do good work !!!
Bharat has two identical ink pens with full ink. He used 3/4th of the ink from the first pen and 2/3rd of the ink from the second pen. What is the fraction of the ink remaining in the two pens together?
Answer:
0.58333333333 Or 0.58333333333/100000000000
Step-by-step explanation:
Mr. Barnes painted a mural on the office wall.
The rectangular mural is 36 inches long and 24
inches wide. What is the area of the mural?
Answer:864
Step-by-step explanation:
36*24=864
plss Pa answer po!!!!!!!!!!!!!
Equation 1: 12-x=5 (Answer is 7)
Equation 2: 60-x=25 (Answer is 35)
Answer:
ronalyn has 7 oranges
7 + 5 = 12
aurthur has Php 35.00
25.00 + 35.00 = 60.00
hope it helps u..
Given this number line, ab=
Answer:
3
Step-by-step explanation:
7 -4 = 3
A soccer ball has an original price of $40. But, the soccer ball is on sale and is now 30% off. How much money will you save?
Answer:
We would have saved $12.
Step-by-step explanation:
First off, we know that the original price is $40.
Since the ball is 30% off, we'll multiply $40 by 70% to find the price it's sold by after the discount. 70% in decimal form is 0.70, so we would multiply 40(0.70)
40(0.70) = 28
This means that after a 30% discount, the price of the soccer ball is $28.
To find how much we saved, we would subtract $28 from $40.
40-28 = $12
$12 is the amount of money you saved.
SUPER URGENT: Find secθ.
Answer:
B
Step-by-step explanation:
√((-20)²+21²)=√(400+441)=√841=29
cos θ=-20/29
sec θ=-29/20