Answer:
43.2 years
Step-by-step explanation:
The formula for continuously compounded interest on a principal investment Pat a given interest rater
over time tin years is given by A = Pe^rt
P = Initial amount compounded = $12000
A = Amount compounded continuously after t years = six times it's original worth
= 6 × $12,000 = $72000
r = Interest rate = 4.15%
t = time in years = ?
Making t the subject of the formula
t = ln(A/P) / r
First, convert R percent to r a decimal
r = R/100
r = 4.15%/100
r = 0.0415 per year,
Then, solve our equation for t
t = ln(A/P) / r
t = ln(72,000.00/12,000.00) / 0.0415
t = 43.175 years
Approximately t = 43.2 years
The time required to get a total amount of $ 72,000.00 from compound interest on a principal of $ 12,000.00 at an interest rate of 4.15% per year and compounded continuously is 43.2years.
Select the correct answer.
Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 7?
A.
It is the graph of y = x translated 7 units down.
B.
It is the graph of y = x translated 7 units to the right.
C.
It is the graph of y = x where the slope is increased by 7.
D.
It is the graph of y = x translated 7 units up.
Answer:
A
Step-by-step explanation:
The plus 7 at the end will shift the graph 7 units up. Replace y with f(x).
Then we have g(x) = f(x) + 7. Adding 7 to y = f(x) will increase the y value by 7.
Answer:
D. it is the graph of y=x translated 7 units up
Step-by-step explanation:
The equation is in the form of y=mx+b, b being the y-intercept of the line. Because b in this case is 7 and the slope is just one, the only transformation was that the graph was shifted 7 units up
How many cents are in $1
Answer:
100
Step-by-step explanation:
There are 100 cents in one dollar
Answer:
100 cents
Step-by-step explanation:
find the greatest common factor of the numbers 9 and 49
I'm pretty sure the answer is 1.
For two days, your boss decides to double the amount you make. If on day 1, you make $70 dollars
and on day 2, you make $80 dollars , write an expression for the total commission you earn?
1.) 2(70+80)
2.) 2(2+80)
3.) 70(90+2)
4.) 80(2470)
Answer:
1 because you get 70 and 80 a day NORMALLY and the 2 indicates double so the 2 multiplies the 70 and 80.
Step-by-step explanation:because you get 70 and 80 a day NORMALLY and the 2 indicates double so the 2 multiplies the 70 and 80.
On this sailboat the measure of angle A is 46 degrees and the measure of B is 51 degrees . What kind of triangle is this?
PLS PLS HELP ASAP
Answer:
Scalene
Step-by-step explanation:
The third angle must be 83 degrees because all interior angles of a triangle add up to 180 degrees. It must be a scalene triangle because all angles are different therefore the lengths are aswell.
Answer:
acute
Step-by-step explanation:
What is the solution to the equation?
5=2/5a
A.2
B.4 3/5
C.12 1/2
D.25
Answer:
Exact form - [tex]\frac{25}{2}[/tex]
Decimal form - 12.5
Mixed number form - 12[tex]\frac{1}{2}[/tex]
Have a nice day.
Help me with my homework, please. \
y= -3/4x + 9
Answer:
x=12
Step-by-step explanation:
hope this helps
Is (2, 10) a solution to this system of equations?
y = 4x + 2
y = x + 8
Answer:
Yes, (2, 10) is a solution to this system:
y = 4x + 2
y = x + 8
Step-by-step explanation:
When graphed, the two equations cross at (2,10) making it a solution.
Answer:
Yes
Step-by-step explanation:
If y=4x+2 and y=x+8, then 4x+2=x+8
4x+2=x+8
4x=x+6
3x=6
x=2
Plugging this into the original equation "y=x+8", we obtain the result that y=10.
This means, (2, 10) is a solution to the system.
Let me know if this helps!
Which ordered pair is a solution to the equation y = -6x?
(12, -2)
(3,-9)
-10.60)
(18, -3)
Answer:
(-10; 60)
Step-by-step explanation:
y = -6x
(12; -2)
-2 = -6 · 12
-2 = -72 - no
(3; -9)
-9 = -6 · 3
-9 = -18 - no
(-10; 60)
60 = -6 · (-10)
60 = 60 - yes
(18; -3)
-3 = -6 · 18
-3 = -78 - no
How to solve 5.25s-2.01=-8.94
Answer:
utvut
Step-by-step explanation:
hvuyvytuccu
answers for the 2 boxes please :)
Answer:
x=-11 y=-4
Step-by-step explanation:
4x−6y=−20;−2x+4y=6
once you have this, try and find any number. i find trial and error easy if you can find the answer
Eva's new bunny weighted 1 7/8 pounds when she first got him 4 weeks ago. Now he weighs 2 1/4 pounds. How much weight has Eva's dog actually gained
Answer: Eva's dog actually gained 3/8 pounds ( 0.375pounds)
Step-by-step explanation:
Step 1
Given that
old weight = 1 7/8 pounds
New weight = 2 1/4 pounds
weight gained = New weight - Old weight
Step 2
weight gained = New weight - Old weight
2 1/4 pounds - 1 7/8 pounds
2.25 pounds - 1.875 pounds
0.375pounds = 3/8 pounds
If x – 9 is a factor of x2 – 5x – 36, what is the other factor?
Answer: (x+4)(x−9)
Step-by-step explanation:
Answer:
(X - 9) is one factor
(X + 4) is the other factor
Step-by-step explanation:
You can factor polynomials with guess work or with polynomial division
To factor using guess work search for a number that will multiply with -9 to equal -36 and add with -9 to equal -5.
In order for -9 to add with another number and equal -5 you need to add 4 to it. And because -9 will multiply with 4 to equal -36 as well, 4 is confirmed to be the other factor. You can write out the factor as (x + 4)
Jessle served 15 pints of orange Juice at her party,
Correct
Response
How many quarts of orange juice did she serve?
Answer:
7.5
Step-by-step explanation:
hope this helps if its wrong please correct me
what is 220% of 15? ............
Answer:
33
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer: 33
Step-by-step explanation: Write 220% as 220/100
Finding the fraction of a number is same as multiplying the fraction with the number 220/100 of 15
220/100 x 15
Therefore, the answer is 33
Someone help me pls.
A 40acre field produces 600 bushels of wheat. At the same rate, how many bushels will a 75acre field produce?
Answer:
sorry i need points
Step-by-step explanation:
sorry
Zach is 23 years old. Sax age is 3 years older than twice Maya's age. Let m represent Maya's age. Which equation can be used to solve Maya's age?
Step-by-step explanation:
Let Maya's age is m.
Sax age is 3 years older than twice Maya's age
Sax age = 2m +3
Zach age = 23 years
We need to find the equation that is used to solve Maya's age. ATQ,
2m + 3 = 23
If we solve,
2m = 23-3
2m = 20
m = 10
Hence, this is the required solution.
help me solve this question plssss
81m⁴-n⁴
Step-by-step explanation:
=81m⁴-n⁴
={(3m)²}²-(n²)²
=(3m²+n²)(3m²-n²)
hope it helps.
Jamal has $15.00 to spend at the concession stand. He buys nachos for $7.50, and he wants to purchase some Sour Straws for $1.50 each. How many Sour Straws can Jamal purchase with the money that he has? Variable: ______________________________ Inequality: ______________________________ Solution: ______________________________
Answer: Variable: y= Number of sour straws.
Inequality: 7.50+1.50y ≤ 15
Solution: y ≤ 5
Step-by-step explanation:
Let y= Number of sour straws.
Cost for nachos = $7.50
Cost per sour straw = $1.50
Total cost = 7.50+1.50y
Money he has $15
Total cost must be less than orequal to the money he has.
So required inequality: 7.50+1.50y ≤ 15
Subtract 7.50 from both sides
[tex]1.5y\leq 7.5\\\\\Rightarrow\ y\leq\dfrac{7.5}{1.5}\\\\\Rightarrow\ y\leq 5[/tex]
He can buy at most 5 sour straws.
Work out the surface area of this cylinder.
Please help.
Answer:
1846.32
Step-by-step explanation:
v = 3.14r^2h
3.14 (49)12
1846.32
hope this helps
Answer:
total surface area of cylinder=2πr(r+h)=2π×7(7+12)=14π×19=14×22/7×19=836cm²
Kallie drank 12.75 gallons of water in 3 weeks. She drank the same amount of water each day. Estimate how many gallons she drank in one day.
Answer:
607 miltliters per day
Step-by-step explanation:
Step one:
given data
Kallie drank 12.75 gallons of water in 3 weeks
if she drank the same amount each day, then in one day she will drink
Note----there are 31 days in 3 weeks (7 days make 1 week)
Step two:
Hence in one day she will drink
= total volume of water/number of days
= 12.75/21
=0.607liters per day
or
607 militliters per day
Answer:
3 1/8
Step-by-step explanation:
I need the answer for the bottom ones please :) I’ll give brainliest
Answer:
y = 4/5x
y = 4/5x - 3.2
Step-by-step explanation:
The equation for slope is y=mx+b, the mx stands for the slope which is 4/5x. The b stands for where the line goes through the y axis, in this equation the first line crosses the y axis at the origin (0) and the second one crosses at -3.2, these are also called y-intercepts because they intercept the y axis.
I hope this helps, gl!
Write the following as an inequality.
w is greater than -9 and less than or equal to 5
Use w only once in your inequality.
There are 272 people in an audience. The ratio of adults to children is 5 : 3. How many are children? (please answer)
Answer:
There are 102 children
Step-by-step explanation:
Let us solve the question
∵ There are 272 people in an audience
∴ The total number of people = 272
∵ The ratio of adults to children is 5: 3
→ Find the sum of the two parts of the ratio
∴ The sum of the parts of the ratio = 5 + 3 = 8
→ By using the ratio method
→ Adults: Children: People
→ 5 : 3 : 8
→ A : C : 272
→ By using the cross multiplication
∵ C × 8 = 3 × 272
∴ 8C = 816
→ Divide both sides by 8
∴ C = 102
∵ C represents the number of children
∴ There are 102 children
y + y
PLS HELP pls pls pls
Answer:
y=0
Step-by-step explanation:
Simplifying
y + y = 0
Combine like terms: y + y = 2y
2y = 0
Solving
2y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Divide each side by '2'.
y = 0
Simplifying
y = 0
Answer:
The correct answer is,
[tex]2y[/tex]
Which one should I choose my brain cells dont exist at this point.
Plz help me with this Im timed will mark as brainliest
Answer:
It seems like John is trying to find the mean, or average.
Green is 82
blue is 320
red is 4
Step-by-step explanation:
82 is the score John must get to have the average of 80
320 is the number you must divide by 4 to get 80
Debra borrowed 5,000 from a bank for 6 years and was charged simple interest. The total interest that she paid on the loan was 2100 . As a percentage, what was the annual interest rate of her loan?
Answer:
7% was the interest rate
Prime factorization of
60
100
85
Explain in steps
Answer:
60=2×2×3×5100=2×2×5×585=5×17