Answer:
y = -3x-2
Step-by-step explanation:
3y = -9x-6. y = (-9x-6)/3. y = (-9x/3)+(-6/3). y = -3x-2
A customer can pay GH➣900.00 per month on a mortgage payment.
Interest rate is 12% annually compounded continuously, and mortgage
terms is 15 years. Determine the maximum amount the customer can pay within
the period.
Answer:
$74,748.11
Step-by-step explanation:
In order to make use of the amortization formula, we need to find the equivalent monthly interest rate.
When 12% interest is compounded continuously, the annual multiplier is ...
e^0.12 ≈ 1.127497
The equivalent multiplier when the interest is compounded monthly is the 12th root of this,
(e^0.12)^(1/12) = e^0.01 ≈ 1.0100502 = 1 + r
___
The amortization formula tells us that monthly payment amount A will pay off principal P in n months:
P = A(1 -(1 +r)^-n)/r = $900(1 -1.0100502^-180)/0.0100502
P = $74,748.11
The customer can pay off a 12% loan of $74,748.11 at the rate of $900 per month for 15 years.
Question 6 of 10
Suppose that there were a strong correlation between the variables dand f.
Which of these is a true statement?
A. d must cause f.
O B. dmay cause f.
O C. dmust not cause f.
D. f must cause d.
Hello please help on these 3 questions with the information at the top please help it's for marks
Simplify the product using the distributive property
(3h - 5)(5h + 4)
Step-by-step explanation:
(3h - 5)(5h + 4) = 3h * 5h + 3h * 4 - 5*5h - 5 *4
= 15h^2 - 13h -20
\((3h-5)(5h+4)\)
\(=(3h+-5)(5h+4)\)
\(=(3h)(5h)+(3h)(4)+(-5)(5h)+(-5)(4)\)
\(=15h^2+12h-25h-20\)
Answer:
\(\bold{=15h^2-13h-20}\)Out of 50 students taking a midterm psychology exam, 26 answered the first of two bonus questions, 33 answered the second bonus question, and 2 didn't bother with either
Answer:
This has no answer. Whats the question? Please tell me so I can help you
Is it probability ???
Math homework please help
Calculate the area of a circle with a radius of 5 meters
Given the equation of a circle below, determine the center and radius of the circle.
(x+5)^2+y^2=36
9514 1404 393
Answer:
center: (-5, 0)radius: 6Step-by-step explanation:
Compare the given equation to the standard form equation for a circle with center (h, k) and radius r.
(x -h)^2 +(y -k)^2 = r^2
You see that ...
-h = +5 ⇒ h = -5
-k = 0 ⇒ k = 0
r^2 = 36 ⇒ r = √36 = 6
The center is (h, k) = (-5, 0), and the radius is r = 6.
Often you will see payment terms written out using the abbreviation 2/10,N/30.in this case the letter "N" stands for ______.
Answer:
Step-by-step explanation:
Ronald is walking at a rate of 3 miles per hour. If he walks for 2 hours and then runs at a rate of 6 miles per hour for another 1 hour, how far did Ronald travel in total?
Answer:
12Step-by-step explanation:
Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.
How do we solve this?
It asks for partial derivative, and you have to derive it with respect to 'y' variable.
\(f_y(x,y)=\frac{\partial f}{\partial y}=\frac{\partial}{\partial y}( 6x+2y+4)=2\)
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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Solve by Factoring:
2x^2 - x - 3 = 0
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34.
What was Huda’s error?
Huda evaluated (3) squared incorrectly.
Huda found the product of –3 and 9 as positive.
Huda subtracted –7 from 27 incorrectly.
Huda did not follow the order of operations.
Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.
The correct answer should be -20, not 34.
Huda's error was that she evaluated (3) squared incorrectly.
Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.
To evaluate the expression correctly, let's go through the steps:
Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)
First, we simplify the expression within the parentheses:
\(-3(3)^2 - (-7) = -3(9) - (-7)\)
Next, we evaluate the exponent:
-3(9) - (-7) = -3(9) + 7
Now, we perform the multiplication and addition/subtraction:
-3(9) + 7 = -27 + 7 = -20
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Stephanie has a spinner with sections labelled 1, 2 and 3.
She spun it 100 times and recorded how many times it landed on each section in
the table below.
Work out the relative frequency of landing on an odd number, giving your answer
as
a) a fraction in its simplest form.
b) a decimal.
Section
1
Frequency 17
2
20
3
63
Answer:
\(\frac{4}{5}\)
0.8
Step-by-step explanation:
Happy to help:)
Which point on the number line represents the product of 4 and –2?
Point A
Point B
Point C
Point D
Answer:
It's A
Step-by-step explanation:
the one above me is incorrect it's "A"
Answer:
A
Step-by-step explanation:
hi
PLEASE HELP IM DESPERATE AND NEED THE ANSWER NOW WILL GIVE BRAINLIEST 50 POINTS
△ABC has a right angle at C, BC=9.2 centimeters, and m∠A=63∘.
What is CA ?
Enter your answer rounded to the nearest tenth in the box.
Answer:
CA = 4.7 cm
Step-by-step explanation:
There're two ways to solve that
Please help, this is on final. I need how you got the answer and what the answer is.
Answer:
Angle 1 is congruent to the angle that is supplementary to angle 2. Angle 2 is also congruent to angle 3 due to the Corresponding angles theorem. Since angle 2 is supplementary to angle 1 and angle 3 is congruent to angle 2. This shows that angle 1 and angle 3 are supplementary.
Step-by-step explanation:
Answer:
I can't see it that wel..?m
Clarance has a 25% off coupon for a tune-up at Quick Service Auto Repair. If a tune-up is regularly $50, what is the sale price?
Answer:
$37.50
Step-by-step explanation:
50*.25=12.50
Take $50 - 12.50 = 37.50
4. Malaki has a 'no interest-free period' credit card that charges 16.5% p.a. interest. On 9 January he purchases a phone costing K395.00. His January statement is dated 28 January and the phone is the only item on it.
a. How much interest is charged on the January credit card statement?
b. Malaki pays K100.00 off the amount owed on 28 January and makes no more purchases or payments before the next credit card statement arrives on 28 February. How much will this statement show that Malaki owes?
Answer:
K5.60.
Step-by-step explanation:
Please help me solve this problem
Answer:
i am sorry but plz help me
LM bisects
KL = LN
m
m
m
Answer:
Only one must be true
Step-by-step explanation:
please helpp I’ll mark you the brainiest
The missing values are numerator: 3,5 Denominators: 10,20, 30
How to find the missing valuesFor the numerators:
The numbers are increasing by 1.
Hence, the missing values are 3 and 5
The values of the numerators are 1,2,3,4,5,6,7
For the denominators:
The missing values are:
5 x2 = 10
5 x 4 = 20
5 x 6 = 30
Hence, the missing values are 10, 20 and 30
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Snail A moved 6 feet in 7 hours. Snail B moved 7 feet in 8 hours. Both snails moved at constant speeds. Which snail went faster?
Answer:
since .875 > .857 Snail B is moving faster
Step-by-step explanation:
divide 6 by 7 to get the number of feet in one hour for Snail A
7 into 6 is .857
divide 7 by 8 to get the number of feet in one hour for Snail B
8 into 7 is .875
I believe the answer to this is:
Snail B went faster than Snail A.
Hope this helps! :D
Onepipefillsastoragepoolin20hours.Asecondpipefillsthesamepoolin15hours.Whenathirdpumpisaddedandallthreeareusedtofillthepool,ittakesonly6hours.Findhowlongittakesthethirdpipetodothejob(by itself)
Answer:
yes
Step-by-step explanation:
If mZVUW = (4x + 6)° and mZWUT = (6x - 10)°, what
is the measure of ZWUT?
O 32°
O 38°
O 48°
O 76⁰
Based on the definition of an angle bisector, the measure of angle WUT is: B. 38°.
What is an Angle Bisector?An angle bisector is a line, ray or segment that divides an angle into two congruent angles.
Therefore:
m<VUW = m<WUT
Substitute
4x + 6 = 6x - 10
Solve for x
4x - 6x = -6 - 10
-2x = -16
x = 8
m<WUT = 6x - 10
Plug in the value of x:
m<WUT = 6(8) - 10 = 38°
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PLS HELP ME
The function f(x) = -3(2)²+¹ +90 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundrea
The practical domain of the situation is x
Basic
The practical range of the situation is 90
A
O
Answer:
Practical domain: 0 ≤ x ≤ 3.907Practical Range: 0 ≤ y ≤ 84 where y is an integer, so we have the set {0,1,2,...,83,84}The 3.907 is approximate.
====================================
Explanation:
x = number of hours that elapse
y = f(x) = number of tokens
If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907
At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.
The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907
------------
Plug in x = 0 to find y = 84. This is the largest value in the range.
The smallest value is y = 0.
The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84
Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.
The x value can be fractional because 3.907 hours for instance is valid.
------------
Extra info:
The function is decreasing. It goes downhill when moving to the right.The points (0,84) and (1,78) and (2,66) and (3,42) are on this exponential curve.A point like (2,66) means x = 2 and y = 66. It indicates: "after 2 hours, they will have 66 tokens remaining".10 point if you solve this
find the taylor series up to the degree 4 term at a = 8 for f(x) = ex.
The Taylor series up to the degree 4 terms is:
e^8 + (x - 8)e^8 + (x - 8)^2/2! e^8 + (x - 8)^3/3! e^8 + (x - 8)^4/4! e^8
The Taylor series of a function f(x) at point a is an infinite sum of terms that approximates the value of the function near point a. The general form of the Taylor series of f(x) at a is:
f(x) = f(a) + (x - a)f'(a) + (x - a)^2/2! f''(a) + (x - a)^3/3! f'''(a) + ...
Where,
f'(a) is the first derivative of f(x) at a.f''(a) is the second derivative of f(x) at a.f'''(a) is the third derivative of f(x) at a.In the case of e^x, the function is infinitely differentiable, so all its derivatives are equal to itself. Hence the Taylor series at a=8 is:
e^8 + (x-8)e^8 + (x-8)^2/2! e^8 + (x-8)^3/3! e^8 + (x-8)^4/4! e^8 + ....
by taking the degree 4 terms we can find the Taylor series of e^x at a = 8 up to the degree 4 terms, which is
e^8 + (x-8)e^8 + (x-8)^2/2! e^8 + (x-8)^3/3! e^8 + (x-8)^4/4! e^8
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PLEASEE HELP IM BEGGING YOU
Answer: god it's hard, but i will try