Answer:
variables
Step-by-step explanation:
variables are constantly variating to contour to the problem it is being used in like in rentals, the variable is the amount of hours rented and the constant is the price it's being rented for
You buy a house that costs $345,000. You put down a downpayment of 20%. You borrow the rest from the bank, who charges an annual interest rate of 4.6%. If you pay this back in 30 years, how much did the house cost you in total? A=p(1+rt) format
Answer:
Total cost of the house = $725,880
Step-by-step explanation:
This can be calculated as follows:
Down payment = $345,000 * 20% = $69,000
Amount borrowed = $345,000 * (100% - 20%) = $276,000
The total amount of loan repaid can be calculated using the following formula:
A = p(1 + rt) .................... (1)
Where;
A = Total amount of loan repaid = ?
p = Principal or amount borrowed = $276,000
r = annual interest rate = 4.6% = 0.046
t = number of years = 30
Substitute the values into equation (1), we have:
A = $276,000 * (1 + (0.046 * 30)) = $656,880
The total cost of the house can now be calculated as follows:
Total cost of the house = Down payment + Total amount of loan repaid = $69,000 + $656,880 = $725,880
What is 2 times 2? It would be really helpful.
Answer:
2*2=4
Step-by-step explanation:
given
[tex] log_{2}(x) = \frac{3}{ log_{xy}(2) } [/tex]
express y in terms of x
Answer:
[tex]\displaystyle y = x^{-\frac{2}{3}}[/tex]
Step-by-step explanation:
Logarithms
Some properties of logarithms will be useful to solve this problem:
1. [tex]\log(pq)=\log p+\log q[/tex]
2. [tex]\displaystyle \log_pq=\frac{1}{\log_qp}[/tex]
3. [tex]\displaystyle \log p^q=q\log p[/tex]
We are given the equation:
[tex]\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }[/tex]
Applying the second property:
[tex]\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}[/tex]
Substituting:
[tex]\displaystyle \log_{2}(x) = 3\log_{2}(xy)[/tex]
Applying the first property:
[tex]\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))[/tex]
Operating:
[tex]\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)[/tex]
Rearranging:
[tex]\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)[/tex]
Simplifying:
[tex]\displaystyle -2\log_{2}(x) =3\log_{2}(y)[/tex]
Dividing by 3:
[tex]\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}[/tex]
Applying the third property:
[tex]\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)[/tex]
Applying inverse logs:
[tex]\boxed{y = x^{-\frac{2}{3}}}[/tex]
if angle 4 =2x+7 and. angle 8 =3x-13 find x for both equations
Answer:
2x +3x =7-13=4+8
Step-by-step explanation:
5x= -6= 12
Help. I need help with these questions ( see image).
Please show workings.
9514 1404 393
Answer:
4) 6x
5) 2x +3
Step-by-step explanation:
We can work both these problems at once by finding an applicable rule.
[tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]
where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.
This can be referred to as the power rule.
Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:
lim[h→0](f(x+h)-f(x))/h = 2ax +b
__
4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.
5. The gradient of x^2 +3x +1 is 2x +3.
__
If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.
2.Solve -75 = -25a.
A.
3
B.
-100
c.
-50
Answer:
A
Step-by-step explanation:
-75=-25a
Divide both sides by -3:
3=a
a=3
The answer is choice A
Can you help me!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B. Lease
Step-by-step explanation:
Cash has value
A vehicle has value
A house has value
But a lease itself does not have value
Asset is something you own that has value
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Consider the triangle.
Which shows the order of the angles from smallest to largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B
Answer:
angle B, angle A, angle C
Step-by-step explanation:
6x^3 -x^2-10x-3 by 2x-3
Answer:
Quotient : 3x² + 5x + 1
Step-by-step explanation:
PLZ HELPPP The statement below represents an equation.
Which equation is represented by this statemen
1. 1/n+6=1/4÷2
2. n/6=1/4+n/2
3. 1/n+6=1/4+n/2
4. n/6=1/4xn/2
/ is fractions
Answer: It number 4
Step-by-step explanation:
PLS HELP ill give brainliest im really stuck and its DUE SOON
Answer:
B
Step-by-step explanation:
Simplify the following and express the result in positive exponential form
( 3/11)-2 x ( 3/11)-5
Answer:
Step-by-step explanation:
Solution:
Your problem → (3/11)-2 x (3/11)-5
(3/11)-2x(3/11)-5
=(3/11)-2x × (3/11)-5
=(3/11)-(6x/11)-5
=(3-6x-5×11)/11
=3-6x-55/11
=(-52-6x)/11
Tim bought a new phone. He paid $125 on the day of purchase, then $50 per month
until it was paid off. What is the initial value in this situation?
Answer:
its 5
Step-by-step explanation:
jazmines dog weights 63 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 47 pounds. Jazmines dog can lose an average of 6 pounds every week. Write the solution to an inequality that describes all posible number of weeks x for which her dog can be at a healthy weight
Answer:
2 weeks and 4 days
Step-by-step explanation:
she is 63 pounds and she needs to get to 47 so 63-47=16 then if she loses 6 pounds every week then 6+6=12 which make 2 weeks cause we used two 6's so now we have a remainder which makes days 12-16=4 so their ya go
2 weeks and 4 days
Convert 30% into a fraction and shade the circle according to the result.
Answer:
3/10 shade 3 in
Step-by-step explanation:
Roscoe hit a ball straight up at a speed of 96 ft/s. His bat hit the ball at a height 3 ft above the ground. After how many seconds did the ball hit the ground? (Give your answer to the nearest hundredth of a second.)
Answer:
t = 6.031 seconds
Step-by-step explanation:
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
We need to find how many seconds did the ball hit the ground.
Using equation of motion to find height of the ball.
[tex]h=-16t^2+96t+3[/tex]
When it hits the ground.
h = 0
[tex]-16t^2+96t+3=0[/tex]
It is a quadrctic equation where a = -16, b = 96 and c = 3
[tex]t=\dfrac{-96\pm \sqrt{96^2-4(-16)(3)} }{2(-16)}\\\\t=-0.031\ s, 6.031\ s[/tex]
Neglecting negative value.
So, after 6.031 seconds the ball will hit the ground.
Given :
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
To Find :
After how many seconds did the ball hit the ground.
Solution :
When the ball reaches the same height from which it is thrown ( i.e. 3 ft ) its displacement will be zero.
So, using equation of motion :
[tex]s = ut + \dfrac{at^2}{2}\\\\96t - \dfrac{10t^2}{2} = 0\\\\5t^2 - 96t = 0\\\\t( 5t - 96 ) = 0\\\\t = \dfrac{96}{5}\\\\t = 19.2 \ s[/tex]
Now, time taken to reach ground from 3 feet of height is :
[tex]s = ut + \dfrac{at^2}{2}\\\\3 = 96t + 5t^2 \\\\5t^2 + 96t - 3 = 0[/tex]
t = 0.03 s
Therefore, time taken is T = 19.2 + 0.03 = 19.23 seconds.
Please help! ill give brainliest to anyone with correct answer ASAP!!!
Answer:
5.25x + 55 is greater than or equal to 399
Step-by-step explanation:
55 is a fixed amount of money that Amelia already has so that will be added to the part of the eqaution: 5.25x.
Her total should be greater than or equal to $399
need help with functions
Answer: ur right
Step-by-step explanation:
Help please! I’m bad at math
Answer:
The answer should be 40
Step-by-step explanation:
85+55=140
180-140=40
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery recently spent a total of $311 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $10. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?
Answer:
a. 311 hours
b. i. $3,100 in receipts
ii. $2,799 in expenses.
Step-by-step explanation:
a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:
= 10 - 9
= $1 per hour
Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:
= 311 / 1
= 311 hours
b. In 311 hours, the total receipts would be:
= 311 * 10
= $3,110
The expenses would be:
= 311 * 9
= $2,799
Any Simple way to learn mathematics formula ?
Answer:
I'll be honest if you don't understand your teacher just try looking it up on yt. Or like Kahn Academy. And if neither of that works just ask here, or maybe some older friends or siblings.
I NEED HELP PLEASE !!!!!
Answer:
The distance between points A and B is 3 units
Step-by-step explanation:
We need to find distance between points on the number line.
The points given are:
A = -1 , B = 2
The formula used is: [tex]Distance = |b-a|[/tex]
Putting values of a and b and finding answer:
[tex]Distance = |b-a|\\Distance = |2-(-1)|\\Distance=|2+1|\\Distance=|3|\\Distance = 3[/tex]
So, The distance between points A and B is 3 units
PLEASE HELP me!!! can give brainliest!
Joyce would like to invest her money in a savings account. The function A (t) = 900(1.03)^t represents the amount of money joyce will have in her savings account after t years. How long will it take Joyce to have $1200 in her account? Around your answer to the nearest tenth of a year. ( use desmos )
Answer:
9 years ( approximately)
Step-by-step explanation:
900(1.03)^t = 1200
(1.03)^t= 1.33
( 1.03)^t= ( 1.03)^9
So, t= 9
please help will give brainliest
Answer:
C
Step-by-step explanation:
AE = 14.6 I think. If I'm wrong, use whatever number it is.
Sin(x) = 5/14.6
Sin(x) = 0.3425
x = Sin-1 (0.3425)
x =20.03
Now the other larger triangle has an acute angle of 90 -20.03 = 69.97
===================
Cos(69.97) = 13.1/DE
DE = 13.1/cos(69.97)
DE = 38.25
The population growth of two towns over a period of five years is represented by the system of equations below, both algebraically and graphically D IS (10,4) it didn’t show up so
Answer:
(4, 10)
Step-by-step explanation:
Hope this helps
The solution to the system of equations is the ordered pair in option B. (4, 10).
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Population growth of two towns over a period of five years is represented by the system of equations :
y = x + 6
y = 2x + 2
Here y represents the population growth and x represents the number of years.
Solution of the system of equations is the point where the graph of both equations intersect.
Intersecting point is (4, 10).
Algebraically, we can solve this as,
We have y = x + 6 and y = 2x + 2.
x + 6 = 2x + 2
x - 2x = 2 - 6
x = 4
y = x + 6 = 4 + 6 = 10
So (x, y) = (4, 10)
Hence the solution to the system of equations y = x + 6 and y = 2x + 2 is the point (4, 10).
Learn more about Linear Equations here :
https://brainly.com/question/11897796
#SPJ5
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 15% real fruit juice. How many liters of real fruit juice would be needed to produce 100 liters of Drink A and 250 liters of Drink B? How many liters of real fruit juice would be needed to produce a liters of Drink A and b liters of Drink B?
JEJEISHEVEHSUEHRH PLEASE ✋✋✋✋
Add (-12x+6)+(4x-12)
Answer:
-8x - 6
Step-by-step explanation:
Combine like terms: combining -12x + 4x results in -8x, and combining 6 and -12 results in -6. Thus, we have
(-12x+6)+(4x-12) = -8x - 6
If the measure of two sides of the triangle are 3 feet's and 7 feet's, which is the least possible whole number measure for the third side
Answer:
5 feet
Step-by-step explanation:
By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.
Let x feet be the length of the third side.
We have 3+x>7, x+7>3 and 3+7>x.
Solving these, we get x > 4, x > -4 and x < 10.
The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.
Therefore the answer is 5 feet.
I need help and for the other select it’s are or are not
Answer:
Step-by-step explanation:
It's clear from the graph that the angles of the given triangles are different.
And for similarity of two triangles, at least two angles of the triangles should be congruent.
Therefore, both the triangles are not similar.
The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.
