Find the number of years it would take for $1,200 to earn simple interest of $324 at an annual interest rate of 6% per year.
Answers
________
rate x principal
Related Questions
Given that the hypotenuse of this right triangle is 25 cm long and that tan(θ) = 3find the values of x and y, accurate to the nearest tenth.
Answers
Answer:x ≈ 7.9; y ≈ 23.7
Step-by-step explanation:
The right triangle above you can use SOHCAHTOA and determine that tanθ =
y
x
. Replacing tanθ with 3 you get
3 =
y
x
3x = y
Then use the Pythagorean Theorem to
x2 + y2 = 252. Replace y with 3x
x2 + 9x2 = 625
10x2 = 625
x2 =
625
10
x =
25
10
= 7.9
Since,
y = 3x
y = 3(7.9) = 23.7
You measure a piece of rope and find its length to be 13 m. Find the percent error of this measurement.
Answers
23!-22! is equal to what and how ?? ...?
Answers
23!-22! is equal
=23!−22!=23∗22!−22!=22!(23−1)=22!∗22
Please look at the process and you would get your answer of how
Based on her past experiences, a homeowner estimates that appliances lose 25% of their resale value each year. If her estimate is accurate, how much will an appliance currently valued at $3,200 be worth in 10 years?
Answers
The appliance will be worth approximately $817.66 in 10 years.
Explanation:To calculate the value of the appliance in 10 years, we need to find how much it will be worth after each year based on the depreciation rate of 25%. We can use the formula:
Value after n years = Initial value × (1 - rate)^n
Substituting the given values, we get:
Value after 10 years = $3,200 × (1 - 0.25)^10 = $3,200 × 0.75^10 ≈ $817.66
Therefore, the appliance will be worth approximately $817.66 in 10 years.
Using the exponential decay formula, an appliance initially valued at $3,200 is estimated to be worth about $180.16 after 10 years, assuming it loses 25% of its value each year.
Explanation:To find out how much an appliance currently valued at $3,200 will be worth in 10 years, given that it loses 25% of its resale value each year, we can use the formula for exponential decay:
Future Value = Present Value × (1 - Rate of Decay)Number of Years
Here, the Present Value is $3,200, the Rate of Decay is 25% or 0.25, and the Number of Years is 10. Plugging these into the formula gives us:
Future Value = $3,200 × (1 - 0.25)10
Future Value = $3,200 × (0.75)10
Future Value = $3,200 × 0.0563
Future Value ≈ $180.16
The appliance would be worth approximately $180.16 in 10 years.
Select all of the following that are a direct variation.
Songs are 99 cents each to download.
Tickets for rides at the fair are $1 each.
Arcade games are 50 cents or $1.
To go tubing it is $5 to rent the tube and $7 for each hour.
Answers
Songs are 99 cents each to download.
Tickets for rides at the fair are $1 each.
Because, for each of them, the total value will be always the product of the number of items times a constant (the unit price).
what is 2/5 as percentage
Answers
Answer:
40
Step-by-step explanation:
divide 2 by 5 and you get 0.40 and then multiplicate by 100 and you get 40
I know the answer, but how to solve?
Answers
_________________
Question # (1): t = 15.8 (when rounded to the nearest tenth).
_____________________
Question # (3): The length of Side EF is 7.5 (when rounded to the nearest tenth), and the length of side DF is 2.7 (when rounded to the nearest tenth).
_______________________
Here is how to solve for "Question #1" and "Question #3":
_________________
Let us start with "Question #1":
_________________
Remember the phrase: "SOH CAH TOA"; in which:
_________________
Sin = opposite/hypotenuse; Cos = adjacent/ hypotenuse;
Tan = opposite/adjacent.
__________________
We are given an triangle; one angle has a measurement of 44°. Considering this given angle, the respective hypotenuse given is "22"—along with a variable "t" for the respective "adjacent" side.
Using the above: "SOH CAH TOA" method; it would make sense to use the "CAH" {cosine = adjacent/hypotenuse} part of the mnemonic to solve for "t".
___________________________________________________________
Reason: We are given the angle measure 44°; the hypotenuse value ("22"); so the cosine of 44, or "cos 44" = adjacent/hypotenuse = "t" / 22 .
→ Write as: cos 44 = t / 22 ; Solve for "t" .
→ (cos 44)*22 = t ; → t = 22 * (cos 44);
→ t = 22 *(cos 44) = 22 * (0.719339800339) → Use a scientific calculator:
→ t = 15.825475607458 ; → Round to the nearest tenth, as indicated in the problem, to get:
________________________
→ t = 15.8 ; → which is the answer.
____________________________________
"Question #3: Find the missing lengths in the triangle. Round to the nearest tenth." [Note: There are 2 (two) missing lengths to find.].
___________________________
To get the length of side "EF"; let us use the "CAH" part of the mnemonic,
"SOH CAH TOA", (in the aforementioned previous problem given).
The "CAH" stands for the formula/property to calculate for the "cosine"—specifically, "cosine = adjacent/hypotenuse". We choose this one because we are given the measure of "angle E = 20° "; and we are given the hypotenuse, "side ED = 8"; and we want to solve for the adjacent side, which is "EF" (which we will call: "x").
→ So, cos 20 = adjacent/ hypotenuse = x /8; → Solve for "x""
__________________________
(cos 20)*8 = x ; → 8*(cos 20) = x ; →
→x = 8 * (cos 20) = 8 *(0.939692620786) → Use a scientific calculator: = 7.517540966288 ;→ Round to the nearest tenth, as indicated in the problem, to get:
__________________________
→ 7.5 ; which is the answer for the length of side EF.
__________
Now, we need to find the unknown length of the other side, "Side DF".
Here is one method:
_______________________
Find the measure of "Angle D". Note that for any triangle, all three sides must add up to 180°. We know that this is a right triangle, with one angle ("Angle F") having a measurement of 90°. We are also given that another angle ("Angle E") has a measurement of 20°.
→ So, the measurement of "Angle D" = 180 - (90 + 20) = 180 - 110 = 70.
→ We want to solve for the length of side "DF", which is adjacent to "Angle D" (which we know is 70°).
_____________________________________________
Let us use the "CAH" part of the mnemonic,
"SOH CAH TOA", (in the aforementioned previous problem given).
_________________________________________
The "CAH" stands for the formula/property to calculate for the "cosine"—specifically, "cosine = adjacent/hypotenuse". We choose this one because we are given the measure of angle "D"= 70°; and we are given the hypotenuse = 8. The "adjacent", or "Side DF", is the unknown value (let us make it "x").
________________________________________________
So, cos 70 = adjacent / hypotenuse = x/ 8 ; Solve for "x" :
_________________________
cos 70 = x / 8; (cos 70) * 8 = x ; 8 * (cos 70) = x;
_________________________
x = 8 * (cos 70) = 8 * (0.342020143326) → Use a scientific calculator → = 2.736161146608 ;
→Round to the nearest tenth, as indicated in the problem, to get:
________________________________________
→ 2.7 ; which is our answer, for the length of side DF.
___________________________________________
So, the answer for "Question 1" is: t = 15.8 (when rounded to the nearest tenth).
___________________________________________
For "Question #3", the length of Side EF is 7.5 (when rounded to the nearest tenth), and the length of side DF is 2.7 (when rounded to the nearest tenth).
Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?
A.10 weeks
B.12 weeks
C.15 weeks
D.20 weeks
Answers
(700 - 175)/35
= C. 15 weeks
hope this helps
the function p(t)=350e^-.2t represents the population of a city, in thousands, t years after 2010. determine the population of the city in 2014
Answers
=778.9393249724
In 1992, jason bought a gallon of gas for $1.23. yesterday, he bought a gallon of gas for $2.19. what is the percentage increase of the price of a gallon of gas from 1992 to yesterday? if necessary, round to the nearest tenth of a percent.
Answers
yesterday - 2.19 dollars
2.19dollars - 1.23 dollars = 0.96 dollars
percentage increase is (0.96 / 1.23) x 100 = 78.0%
Answer:
39.7
Step-by-step explanation:
Rhett is solving the quadratic equation 0= x2 – 2x – 3 using the quadratic formula. Show the correct substitution of the values a, b, and c into the quadratic formula?
Answers
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a} [/tex]
Quadriatic equation we can write as:
ax^2 + bx + c = 0
comparing this with given equation we can see that:
a = 1
b = -2
c = -3
if we express this in formula for solving equation we get
[tex]x = \frac{-(-2) +- \sqrt{(-2)^2 - 4*1*(-3)} }{2*1} [/tex]
Answer:
A. Is The Answer
Step-by-step explanation:
Did On Edge 2022
A sample of carbon-12 has a mass of 6.00 g. How many atoms of carbon-12 are in the sample?
I have the answer but I don't understand how to solve it.
Answers
From the Periodic system: Molar mass of C - 12 : M = 12 g / mol
n = m / M = 6 g / 12 g/mol = 0.5 mol ( the number of moles )
N a = 6.02 * 10 ^23 mol^(-1) ( Avogadro`s constant )
N = n * N a = 0.5 mol * 6.02 * 10 ^23 = 3.01 * 10^23
Answer:
3.01 * 10^23 atoms of Carbon -12 are in the sample.
As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second. Convert this speed to miles per minute. At this speed, how many miles will Jupiter travel in 4 minutes? Do not round your answers.
Answers
8 miles x 60 s
1 second 1 min
The unit of seconds will cancel out so you will get 480 miles/ min
To get how far it travels in 4 min you need to multiply the speed by 4 minutes
480 miles x 4 min
1 min
The unit of minutes will cancel out to get 1920 miles
Therefore, jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.
Jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
First to convert it you need to multiply 8 miles per second by 60 seconds because there are 60 seconds in a minute:
8 miles x 60 s
1 second 1 min
The unit of seconds will cancel out so you will get 480 miles/ min
To get how far it travels in 4 min you need to multiply the speed by 4 minutes
480 miles x 4 min
1 min
The unit of minutes will cancel out to get 1920 miles
Therefore, Jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.
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Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)?
f(x) = −6(x + 1)(x + 5)
f(x) = −6(x − 1)(x − 5)
f(x) = −5(x + 1)(x + 5)
f(x) = −5(x − 1)(x − 5)
Answers
Answer:
Option A
Step-by-step explanation:
The equation has x intecepts at -1 and -5.
Hence function would be of the form
a(x+1)(x+5) for some real a.
To find a, let us use y intercept
When x =0 we have y =a(1)(5)
y intercept is given as -30
i.e. 5a = -30
a=-6
So
f(x) = -6(x+1)(x+5)
Option A is the right answer.
What are the constant terms in the expression?
8m−5n+2+m−14
Answers
Answer: [tex]2 , -14[/tex]
Step-by-step explanation:
We know that the constant terms are the specific terms in an algebraic expression that have only numbers or numerical value or without any variable.
For example : The constant term in [tex]4x^2 -5m+16[/tex] is 16.
Let's take one more example , the constant term in [tex]3x-2y-4-7xy[/tex] is -4.
Given expression is : [tex]8m-5n+2+m-14[/tex]
Here, the terms are : [tex]8m,\ -5n,\ 2,\ m,\ -14[/tex]
Terms having variable = [tex]8m,\ -5n,\ m[/tex]
Terms without variable = [tex]2 , -14[/tex]
⇒ Constant terms =[tex]2 , -14[/tex]
Hence, the constant terms in the given expression = [tex]2 , -14[/tex]
What is the amount of sales tax owed on a $39 jacket if the tax rate is 5%?
Answers
Working alone mona can paint a room in 4 hours. lisa can paint the exact same room in 3 hours. how long should it take to paint the room if they work together?
Answers
To find out how long it would take Mona and Lisa to paint the room together, we need to calculate their combined work rate. Mona can paint the room in 4 hours, so her work rate is 1/4 of the room per hour. Lisa can paint the room in 3 hours, so her work rate is 1/3 of the room per hour. Their combined work rate is 7/12 of the room per hour. Therefore, it would take them approximately 1 hour and 43 minutes to paint the room together.
Explanation:To find out how long it would take Mona and Lisa to paint the room together, we need to calculate their combined work rate. Mona can paint the room in 4 hours, so her work rate is 1/4 of the room per hour. Lisa can paint the room in 3 hours, so her work rate is 1/3 of the room per hour. To calculate their combined work rate, we add their individual work rates: 1/4 + 1/3 = 3/12 + 4/12 = 7/12 of the room per hour. Since they are working together, we can use their combined work rate to determine how long it would take to paint the entire room. The formula to calculate time is: Time = Work / Rate. In this case, the work is the entire room, which is 1, and the rate is 7/12 of the room per hour. Therefore, the time to paint the room when they work together is: Time = 1 / (7/12) = 12/7 hours, or approximately 1 hour and 43 minutes.
8x + 2y= 10
Solve the equation for y ...?
Answers
-8x -8x
2y=-8x+10
_ _ _
2 2 2
y=-4x+5
8x + 2y = 10
Transpose:
2y = 10 - 8x
Divide both sides by 2:
y = 5 - 4x
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
What is 6/24 simplified?
Answers
24/6 = 4
so, it is 1/4
Convert 1.50 μm² to square meters.
Answers
1∙5µm² = ? m²
1m * 1m = 1m²
But 1m = 1,000,000µm = 1x10^6µm
1x10^6µm * 1x10^6µm = 1m²
1x10^12µm² = 1m² (Now, divide both sides by 1x10^12).
1x10^12µm² /(1x10^12) = 1m² /(1x10^12)
1µm² = 0∙000 000 000 001 m² (x both sides by by 1∙5).
1∙5µm² = 0∙000 000 000 0015 m²
1∙5µm² = 1∙5x10^-12 m²
I hope my answers has come to your help. God bless and have a nice day ahead!
For each function, what is the output of the given input?
For f(x) = 4x+7, find f(4)
Answers
we just have to plug in 4 instead of x.
f ( 4 ) = 4 * 4 + 7 =
= 16 + 7 = 23
Answer: f ( 4 ) = 23
Answer:
f(4)=23
Step-by-step explanation:
Plug 4 in to the function
f(4)=4(4)+7
f(4)=16+7
f(4)=23
Final answer: 23
please help on number 13
Answers
35x = 40
x = 40/35 = 8/7
Therefore, 42(8/7) = 48
Also 49(8/7) = 56
The missing numbers are
42 48
49 56
Select the equation of the line that passes through the point (3, 5) and is perpendicular to the line x = 4.
y = 5
x = 5
y = 4
x = 3
Answers
Answer:
A ) y = 5
Graph is in the attachment.
Marge has 4 more than 2 times as many books as Susan. If Marge has 22 books and x is the number of books that Susan has, the relationship can be written as 4 + 2x = 22. How many books does Susan have?
8
9
10
11
Answers
ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the steps you took to find the orthocenter including any necessary points or slopes you had to derive.
Answers
To find the orthocenter of triangle ABC with vertices A(0,6), B(4,6), and C(1,3), one must plot the triangle, calculate the slopes of its sides, find the slopes and equations of the altitudes, and determine their intersection point, which is the orthocenter.
The question involves finding the orthocenter of the triangle ABC with vertices A(0,6), B(4,6), C(1,3). To find the orthocenter, we have to identify the altitudes of the triangle and find their point of intersection. Here are the steps:
Plot the points A(0,6), B(4,6), C(1,3) on the Cartesian coordinate system and draw the triangle ABC.Find the slopes of the sides of triangle ABC: The slope of AB is 0 (horizontal line), the slope of BC and AC can be found using the formula [tex](y_2 - y1) / (x_2 - x1)[/tex].Determine the slopes of the altitudes: The slope of an altitude is the negative reciprocal of the slope of the side it is perpendicular to.Find the equations of the lines representing the altitudes by using the point-slope form of the equation of a line, which involves a point on the line (vertex of the triangle) and the slope you've just found.Calculate the point of intersection of any two altitudes. The intersection point is the orthocenter of the triangle.Upon completing these steps, the point of intersection is the orthocenter of the triangle ABC.
find three solutions of the equation y=2
Answers
y= mx + b
= 0x + 2
= 2
So if I choose x to equal 3, 6, or 5 and substitute them individually into the equation for x to find y, my solutions would always give y=2.
y= mx + b
y= 0(3) +2
y= 2
Do the same with 5 and 6 and your results should be:
(3,2)
(5,2)
(6,2)
The blueprints for a me house are scaled so that 1/4 inch equals 1 foot, what is the scale factor in terms of inches to inches?
Answers
Ashley's penny bank is 1/4 full. After she adds 400 pennies, it is 2/3 full. How many pennies can Ashley's bank hold?
Answers
1/4 to 2/3
times 1/4 by 3/3 and 2/3 by 4/4
3/12 to 8/12
change of 5/12
5/12=400
divide both sides by 5
1/12=80
times 12 both sides
12/12=960
it can hold 960 pennies
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.
What is the average rate of change?
A 75 feet per hour
B 200 feet per hour
C 116 feet per hour
D 100 feet per hour
Answers
I first found the difference between hours (6-2 = 4) and then found the difference between distance (700 - 400 = 300). I then divided distance by hours and got 75.
why is a circle not a polygon
Answers
Let's first go over the definition of a polygon.
A polygon a figure formed by coplanar segments. The segments are called sides.
A circle is not considered a polygon because it's formed by a curve rather than line segments.