Answer:
40.08%
Step-by-step explanation:
From the given information;
the annual interest rate can be determined using the formula:
[tex]A =P \times( 1+ \dfrac{r}{n})^{nt}[/tex]
where;
A = amount
P is the installment per period = $625
r = interest rate
nt = number of installments= 14×(12) =168
i = rate of interest per year
[tex]156700 = 625 \times( 1+ \dfrac{r}{12})^{168}[/tex]
[tex]\dfrac{156700}{625} = {(1+ \dfrac{r}{12})^{168}[/tex]
[tex]250.72 = {(1+ \dfrac{r}{12})^{168}[/tex]
[tex]\sqrt[168]{250.72} = {(1+ \dfrac{r}{12})[/tex]
1.0334 = [tex]{(1+ \dfrac{r}{12})[/tex]
1.0334 -1 = r/12
0.0334 = r/12
r = 0.0334 × 12
r = 0.4008
r = 40.08%
Thus; Karla Harby received an interest rate of 40.08%
What are the more appropriate measures of center and spread for this date set?
Answer:
better measure the center:the mean
Answer:
The best measure of senter would be the mean since it is not symmetrical. The better measure of spread would be standard deviation for the same reason.
Step-by-step explanation: I have just finished algebra. lol. I hope i helped. Please mark brainliest, if you want. I dont have the best explanation but i hope it works for you. If you need a better explanation feel free to ask.
2.
The roots of the equation x2-3x - m(m + 3) = 0,
where m is a constant, are
(a) m, m + 3
(b) -m, m + 3
(c) m,- (m+3) (d) -m, -(m + 3)
(AI 2011)
Answer:
(b) -m, m + 3
Step-by-step explanation:
x² − 3x − m(m + 3) = 0
x² − 3x = m(m + 3)
x² − 3x + 9/4 = m(m + 3) + 9/4
(x − 3/2)² = m(m + 3) + 9/4
(x − 3/2)² = m² + 3m + 9/4
(x − 3/2)² = (m + 3/2)²
x − 3/2 = ±(m + 3/2)
x − 3/2 = m + 3/2, -m − 3/2
x = m + 3, -m
The equations 9 x minus 10 y = 6, 8 x minus 10 y = negative 23, 9 x + 10 y = negative 16, and 8 x + 10 y = 13 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (negative 2, 0.75) and (negative 2, 1.5). Blue line goes through (negative 1.75, 0) and (1, negative 2). Pink line goes through (negative 1.5, negative 2), and (1.5, 0.75). Purple line goes through (0, 1.25) and (1, 0.5). PLEASE ANSWER IS 2 MINUTES WILL GIVE BRAINLIEST Which is the approximate solution for the system of equations 8 x minus 10 y = negative 23 and 9 x + 10 y = negative 16? (–2.3, 0.5) (–2.5, 1) (–2.3, –0.5) (–2.5, –1)
Answer:
Step-by-step explanation:
The two equations are 8x-10y=-23 and 9x+10y=-16.
If you plug them both into a graphing calculator, you will see that the point where they cross (the solution) is (-2.3, 0.5).
The answer is A.
Answer:
i think it is A
Step-by-step explanation:
if right pls give brainliest
Nvm it is right pls give brainliest i need 5 to get to next rank
Add. 5/4+1/2 plzzzzzzzzz helppppppp!!!!!!!!!!!
Answer:
1 3/4
Step-by-step explanation:
5/4 + 1/2
Get a common denominator of 4
5/4 * 1/2 *2/2
5/4 + 2/4
7/4
Rewriting as a mixed number
4/4 + 3/4
1 3/4
describe the end behavior f(x)=5x^4+3x^2-1.
HELP ASAP WILL MARK BRAINLIEST
Answer:
4 hours
Step-by-step explanation:
Formula for volume of a cylinder is πr² · h
1. Find the volume of the pool
π(3.5²) · 1.9 = 73.1 m³
2. Divide by the amount of water pumped out per hour (17 m³)
73.1 ÷ 17 = 4.3
It would take 5 hours to completely empty the pool but 4.3 rounded to the nearest whole hour is 4 hours.
Answer:
The hours does it take to empty the pool is 4.299
Step-by-step explanation:
In order to calculate how many hours does it take to empty the pool, we would have to make the following calculation:
hours does it take to empty the pool=Volume of cylinder/rate water is pumped out of the pool
rate water is pumped out of the pool=17m∧3
Volume of cylinder=pi*r∧2*l
According to the given data:
r=3.5
l=1.9
Therefore, Volume of cylinder=3.14*3.5∧2*1.9
Volume of cylinder=73.0835 m∧3
hours does it take to empty the pool=73.0835/17
hours does it take to empty the pool=4.299
The hours does it take to empty the pool is 4.299
x + 3y = 42
2x - y= 14
Answer:
x=12,y=10
Step-by-step explanation:
Step: Solve x+3y=42
x+3y=42
x+3y+−3y=42+−3y(Add -3y to both sides)
x=−3y+42
Step: Substitute−3y+42forxin2x−y=14:
2x−y=14
2(−3y+42)−y=14
−7y+84=14(Simplify both sides of the equation)
−7y+84+−84=14+−84(Add -84 to both sides)
−7y=−70
Divide both sides by -7
y=10
Step: Substitute10foryinx=−3y+42:
x=−3y+42
x=(−3)(10)+42
x=12(Simplify both sides of the equation)
Hope this Helps:)
-Ac<3-
Onyango is now three times as old as his daughter and four times as old as his son. Eight years from now, Onyango's age will be twelve years more than the sum of the ages of his son and daughter. Find their present ages.
Answer:
Onyango is 48, his daughter is 16 and his son is 12
Step-by-step explanation:
Let's call Onyango's age x, therefore his daughter and son's ages are 1/3 x and 1/4 x respectively. We can write:
x + 8 = 12 + (1/3x + 8 + 1/4x + 8)
x + 8 = 7/12x + 28
5/12x = 20
x = 48 → 1/3x = 48 / 3 = 16, 1/4x = 48 / 4 = 12
Instructions: Given the following image of two parallel lines cut by a transversal, find
the value of a
P Flag
question
Recovery
etry Summer 2020
ey)
jes
7x-6
mpetencies
A
des
5x + 10
Durse Overview and
troduction
Unit 1: The Foundations
of Geometry
Jangles (type the type of angle in
Unit 2. Logic, Reasoning,
and Proof
First, these angles are alternate exterior
the box)
Next, set each angle equal to each other.
Unit 3: Parallel and
Perpendicular Lines
Next, solve for a
Home
Step-by-step explanation:
Here,
7x-6=5x+10 (as it has given already that alternate exterior angle are equal.
now, simplifying,
or,7x-5x = 10+6.
or, 2x=16
or, x=16/2
Therefore the value of x is 8.
i hope it helps.....
A circle has an area of n cm2. What is it’s radius. A. 1cm b. 2cm c. 1/2 cm d. Can’t be determined
Answer:
The answer is option D.
Step-by-step explanation:
Area of a circle is πr²
where r is the radius
from the question the area is n cm² which is a variable and not a number therefore cannot be used to determine the radius of the circle.
Hope this helps you
Answer:
thank you
Step-by-step explanation:
10x-3y=-17; y=x+1
10x-3(x+1)=-17
Answer:
y=3/10;X=-7/10
Step-by-step explanation:
put y=x+1 into where you find y.
solve for X which is -7/10
and put -7/10 into the second equation and solve for y. which is also =3/10
Answer this question will give brainliest.
Answer:
A.Step-by-step explanation:
Faktor (x-a) means a is x-intercept
x-10 ⇒ 10 is x-intercept
22-x ⇒ 22 is x-intercept
x+10 ⇒ -10 is x-intercept
20+x ⇒ -22 is x-intercept
so in the graph have to be at least two intercepts <0 and at least two intercepts >0
What is the solution to the system of equations graphed below?
Answer: (4,2)
Step-by-step explanation: The point where the two lines cross is the solution. In parentheses the first number is the x-value, 4. The second number is the y-value, 2 in this example.
(4,2)
step by step explanation:
the two points join at (4,2) on the graph
first we want to write the point on the x-axis that is 4 and then y-axis that is 2 this two lines join at the point (4,2) so answer is (4,2)
which statement about this figure is true
Answer:
D: It has reflectional symmetry with one line of symmetry
Step-by-step explanation:
The reason D is the answer is because, the tree has the same sides and if you put a line in the middle of the tree it is identical to the other side.
The image has a reflectional symmetry with one line of symmetry. The correct option is d.
A reflectional symmetric image has at least one line (axis) along which it can be folded or reflected to produce a complementary or identical image on the opposite side. The image is split along this line of symmetry into two equal halves that are mirror images of one another. The reflectional symmetry gives the picture a feeling of harmony and balance.
It is similar to viewing an image through a mirror in that the portion that is reflected is an exact replica of the original. This kind of symmetry is frequently found in many patterns and objects in nature, art and architecture which enhances the overall design's aesthetic appeal and visual interest.
learn more about reflectional symmetry here
brainly.com/question/27847257
#SPJ2
Please help fast! 25 points and brainliest!!
Let f(x) = 36x5 − 44x4 − 28x3 and g(x) = 4x2. Find f of x over g of x
Answer:
The answer is
9x³ - 11x² - 7xStep-by-step explanation:
f(x) = 36x^5 − 44x⁴ − 28x³
g(x) = 4x²
To find f(x) / g(x) Divide each term of f(x) by g(x)
That's
[tex] \frac{f(x)}{g(x)} = \frac{ {36x}^{5} - {44x}^{4} - {28x}^{3} }{ {4x}^{2} } \\ \\ = \frac{ {36x}^{5} }{ {4x}^{2} } - \frac{ {44x}^{4} }{ {4x}^{2} } - \frac{ {28x}^{3} }{ {4x}^{2} } \\ \\ = {9x}^{3} - {11x}^{2} - 7x[/tex]
Hope this helps you
Answer:
9x³ - 11x² - 7x
Step-by-step explanation:
guy abpove is right or bwlowe
help me Please!!!!!!!
Answer:
[tex]\boxed{Option \ C}[/tex]
Step-by-step explanation:
[tex]Sin \ Y = \frac{Opposite }{Hypotenuse } = \frac{XZ}{XY}[/tex]
[tex]Cos \ Y = \frac{Adjacent}{Hypotenuse} = \frac{YZ}{XY}[/tex]
[tex]Tan Y = \frac{opposite}{adjacent} = \frac{XZ}{ZY}[/tex]
Answer:
[tex]\boxed{\mathrm{C}}[/tex]
Step-by-step explanation:
sin [tex]\theta[/tex] = Opposite/Hypotenuse
sin (Y) = [tex]\frac{XZ}{XY}[/tex]
cos [tex]\theta[/tex] = Adjacent/Hypotenuse
cos (Y) = [tex]\frac{YZ}{XY}[/tex]
tan [tex]\theta[/tex] = Opposite/Adjacent
tan (Y) = [tex]\frac{XZ}{YZ}[/tex]
Martin will earn $25 per hour at a new job. During training, he will earn $20 per hour. What percent of Martin's regular hourly rate will he earn during training?
Answer:
He will earn 80% during training
Step-by-step explanation:
Lets take $25 as 100%
And take $20 as x
Using equivalent ratios, the equation would look like: $25:100% = $20:x
Next, turn them into fractions: $25 = $20
100% x
Cross multiply to get:
(25)x = $20×100%
The next step:
25x = $20×100%
25 25
25 and 25 will cancel each other out leaving x, and 25 will divide 100% which will give you 4
Leaving it as:
x= 20×4%
x= 80%
The Free Food Club holds weekly meetings. In chronological order, they've ordered 12, 9, 11, 10, 13, 8, 7, and 13 pizzas over the last two months. What is the median number of pizzas that they ordered?
NEED ASAP
Answer:
10.375
Step-by-step explanation:
1.) Add up all the amount of pizzas | 12 + 9 + 11 +10+13+8+ 7,+ 13=83
2) Divide the total amount of pizzas by the amount of pizzas/amount of numbers of pizzas. | 83 divided by 8 =
10.375
Please answer this in two minutes
Answer: 1080 degrees
Hoped this helped :)
Find the value of
10!
(10-3)
A. 70
B. 120
O C. 5040
O D. 720
Answer:
The answer is option D.
Step-by-step explanation:
[tex] \frac{10!}{(10 - 3) ! } = \frac{10!}{7!} = \frac{3628800}{5040} = 720[/tex]
Hope this helps you
Answer:
720
Step-by-step explanation:
(A P E X)
PLEASE HELP What is the difference between a consistent and inconsistent system of equations?
Answer:
A consistent system of equations has at least one solution, and an inconsistent system has no solution.
Step-by-step explanation:
Answer:
A consistent system of equations has at least one solution, and an inconsistent system has no solution.
Step-by-step explanation:
nvm
PLEASE HELP the formula m=12,000+12,000rt/12t gives keri's monthly loan payment where t is the annual interest rate and t is the length of the loan, in years. Keri decideds that she can afoord at most a $275
Answer:
The answer is below
Step-by-step explanation:
The formula m = (12,000 + 12,000rt)/12t gives Keri's monthly loan payment, where r is the annual interest rate and t is the length of the loan, in years. Keri decides that she can afford, at most, a $275 monthly car payment. Give an example of an interest rate greater than 0% and a loan length that would result in a car payment Keri could afford. Provide support for your answer.
Answer: Let us assume an annual interest rate (r) = 10% = 0.1. The maximum monthly payment (m) Keri can afford is $275. i.e. m ≤ $275. Using the monthly loan payment formula, we can calculate a loan length that would result in a car payment Keri could afford.
[tex]m=\frac{12000+12000rt}{12t}\\ but\ m\leq275, \ and \ r=10\%=0.1\\275= \frac{12000+12000(0.1)t}{12t}\\275= \frac{12000}{12t} +\frac{12000(0.1)}{12t}\\275= \frac{1000}{t} + 100\\275-100= \frac{1000}{t} \\175= \frac{1000}{t} \\175t = 1000\\t= \frac{1000}{175}\\ t=5.72\ years[/tex]
The loan must be at least for 5.72 years for an annual interest rate (r) of 10%
Here's the keywords you need! :)
example of an interest rate and a loan length that costs under $275/month (example: 4-year loan at 2% interest)
monthly payment for the loan you described (example: 4-year loan at 2% interest is $270/month)
statement that the monthly payment for the loan you described is less than or equal to $275 (example: $270/month payment is less than $275)
Just got it right on edge 2020, hope this helps!! :)
how do i factorise this with quadratic trinomials? 3x^2−8x−3
Thank you :)
Answer:
(x - 3) (3x + 1)
Step-by-step explanation:
3x^2 -8x - 3
3x^2 - 9x + x - 3
3x (x - 3) + 1 (x - 3)
(x -3) (3x + 1)
Please answer this question now
Answer:
[tex] Area = 538.5 m^2 [/tex]
Step-by-step Explanation:
Given:
∆XVW
m < X = 50°
m < W = 63°
XV = w = 37 m
Required:
Area of ∆XVW
Solution:
Find side length XW using Law of Sines
[tex] \frac{v}{sin(V)} = \frac{w}{sin(W)} [/tex]
W = 63°
w = XV = 37 m
V = 180 - (50+63) = 67°
v = XW = ?
[tex] \frac{v}{sin(67)} = \frac{37}{sin(63)} [/tex]
Cross multiply
[tex] v*sin(63) = 37*sin(67) [/tex]
Divide both sides by sin(63) to make v the subject of formula
[tex] \frac{v*sin(63)}{sin(63)} = \frac{37*sin(67)}{sin(63)} [/tex]
[tex] v = \frac{37*sin(67)}{sin(63)} [/tex]
[tex] v = 38 [/tex] (approximated to nearest whole number)
[tex] XW = v = 38 m [/tex]
Find the area of ∆XVW
[tex] area = \frac{1}{2}*v*w*sin(X) [/tex]
[tex] = \frac{1}{2}*38*37*sin(50) [/tex]
[tex] = \frac{38*37*sin(50)}{2} [/tex]
[tex] Area = 538.5 m^2 [/tex] (to nearest tenth).
A cylinder has a volume of 390 cm³. If a cone has the same dimensions as the cylinder then what is the volume of the cone.
Answer: The volume of the cone is 130 cubic centimeters.
Step-by-step explanation:
We know that to find the volume of a cylinder you will use the formula
V= [tex]\pi[/tex][tex]r^{2} *h[/tex] Where r is the radius and h is the height.
And to find the volume of a cone you will use the formula
V= [tex]\pi[/tex][tex]r^{2}[/tex]*h /3
So if they have the same dimensions which is the height and the radius then we will just divide the volume of the cylinder by 3 to find the volume of the cone.
V = 390/3
V = 130 cm^3
A contractor can spend at most $250 a day on operating costs and payroll. It costs $45 each day to operate the forklift and $60 a day for each crew member. Write an inequality to represent the contractor's budget for the day.
Answer: [tex]45+65x\leq250[/tex] .
Step-by-step explanation:
Given: Cost to operate the forklift per day = $45
Cost for each crew member per day = $65
Let x be the number of crew members.
Then, we have
Total cost = (Cost to operate the forklift per day)+(Cost for each crew member per day)×(number of crew members)
= 45+65x
Since, the contractor can spend at most $250.
Then, the required inequality: [tex]45+65x\leq250[/tex] .
Can anyone help me with this plz?
(Mathematics Question)
House Insurance 50 per $100
Contents Insurance 25 per $100
The above shows the rates charged by an insurance company. How much will a person pay for his insurance, if his house is valued at $50,000, and the content at $10,000?
(A) $225
(B) $275
(C) $450
(D) $500
Answer: B.) $275
Step-by-step explanation:
Rates charged by insurance company :
House Insurance 50 per $100
Contents Insurance 25 per $100
Value of House = $50,000
Insurance Fee:
$50,000 / $100 = 500
500, 50 cent payment,
50 cent × 500 = 25000 cent
Value of content = $10,000
Insurance Fee:
$10,000 / $100 = 100
100, 25 cent payment
25 cent × 100 = 2500 cent
Total insurance fee:
(25000 + 2500) cent
= 27500 cent
27,500 cent / 100
= $275
Can someone please help me?
Answer:
( - 1 , - 1 )Option D is the correct option.
Step-by-step explanation:
y = - 2x - 3 → Equation ( i )
y = 3x + 2 → Equation ( ii )
Using elimination method
y + 2x = - 3
y - 3x = 2
---------------------
5x = - 5
Divide both sides of the equation by 5
[tex] \frac{5x}{5} = \frac{ - 5}{5} [/tex]
Calculate
[tex]x = - 1[/tex]
Again, Putting the value of x in equation ( ii ) in order t get the value of y
[tex]y = 3x + 2[/tex]
plug the value of x
[tex] = 3 \times ( - 1) + 2[/tex]
Any expression multiplied by ( - 1 ) equals it's opposite
[tex] = - 3 + 2[/tex]
Calculate
[tex] = - 1[/tex]
Therefore, The possible solution of the system is the ordered pair ( x , y )
[tex](x \:, y \: ) = ( - 1 \:, - 1)[/tex]
-----------------------------------------------------------------------
Check if the given ordered pair is the solution of the system of equation
[tex] - 1 = - 2 \times ( - 1) - 3[/tex]
[tex] - 1 = 3 \times ( - 1) + 2[/tex]
Simplify the equation
[tex] - 1 = - 1[/tex]
[tex] - 1 = - 1[/tex]
Since all the equalities are true, the ordered pair is the solution of the system.
( x , y ) = ( - 1 , - 1 )Hope this helps..
Best regards!!
How does the graph of g(x) = (x + 2)3 − 7 compare to the parent function of f(x) = x3? g(x) is shifted 2 units to the right and 7 units down. g(x) is shifted 7 units to the right and 2 units up. g(x) is shifted 2 units to the left and 7 units down. g(x) is shifted 7 units to the left and 2 units down
Answer: g(x) is shifted 2 units to the left and 7 units down.
Step-by-step explanation:
The original function f(x) becomes f(x+c), if it is shifted c units to the left.The original function f(x) becomes f(x-c), if it is shifted c units to the right.Also, if it is shifted d units down, then the function becomes f(x)-d.If it is shifted d units up, then the function becomes f(x)+d.Here, if we compare the graph of [tex]g(x) = (x + 2)^3 -7[/tex] compare to the parent function of [tex]f(x) = x^3[/tex].
We can observe that f(x) is shifted 2 units to the left and 7 units down.
So, the correct statement is "g(x) is shifted 2 units to the left and 7 units down".
Answer:
g(x) is shifted 2 units to the left and 7 units down.
Step-by-step explanation:
I took it and got it correct.