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%
In two or more complete sentences, describe how to find the interval(s) where the function is increasing and how interval notation is used to express the interval(s). In your final answer, include the interval in which the function is increasing
Answer:
(-5,0)
Step-by-step explanation:
In case when you tracking the finger across the line, at which there is an increase or decrease in y axis so this is we called intervals. Moreover, the interval notation is also necessary as it depicts the beginning and ending points. In this, the first number denotes the minimum number while the second number denotes the maximum number
For Decreasing:
(-8,-5)
(4,8)
For Increasing:
(-5,0)
Please help me asap!!!
Answer:
HL theorem
Step-by-step explanation:
Since this is a right triangle, we can use the HL ( hypotenuse leg theorem)
We know that one of the legs are equal to each other by the lines on the legs and the hypotenuse is congruent by the reflexive property
Help me with this please. I typed it on my iPad
A ballasted roof is flat and covered with gravel to hold the roofing material in place. Adam plans to cover the roof in the diagram with gravel.
30 ft.
21 ft.
13 ft.
57 ft.
27 ft.
52 ft.
The area that Adam plans to cover with gravel is
weight of gravel on the roof will be
If the weight of the gravel is 12 pounds per square foot, the total
ling
2,702 square feet
Next
2,374 square feet
2,222 square feet
2,031 square feet
Answer:
[tex] Area = 2,031ft^2 [/tex]
Total weight of gravel on the roof = [tex] 24,372 pounds [/tex]
Step-by-step Explanation:
The area Adams planned to cover with gravel can be divided into 3 rectangles as shown in the diagram attached.
We would have 3 rectangles. See the attachment below to check out how we arrive at the dimensions of the 3 rectangles.
Area of rectangle = L*W
Area to be covered by gravel = area of rectangle 1 + area of rectangle 2 + area of rectangle 3
Area to be covered with gravel = [tex] (30*17) + (13*9) + (52*27) [/tex]
[tex] Area = (30*17) + (13*9) + (52*27) = 2,031ft^2 [/tex]
Total weight of gravel on the roof = 12 pounds per square foot multiplied by total area of the roof to be covered = [tex] 12 * 2031 = 24,372 pounds [/tex]
Answer:
2031 and 16925
Step-by-step explanation:
What is the measure of Angle D F E? Triangle D E F. The exterior angle to angle F is 142 degrees. 38 degrees 52 degrees 118 degrees 142 degrees
as the exterior angle is known
sum of that angle and f angle = 180
142 + f = 180
f = 180 - 142
f = 38
Answer:
38
Step-by-step explanation:
Add the angle and f angle (180)Now add 142 + f = 180 Now subtract 180 - 142 (= f) Finally you get your answer 38Hope this helps you :)
Use De Morgan's laws to write negations for the statement. Sam is an orange belt and Kate is a red belt.
A. Sam is an orange belt or Kate a red belt.
B. Sam is not a red belt and Kate is not an orange belt.
C. Sam is not an orange belt and Kate is not a red belt.
D. Sam is not a red belt or Kate is not an orange belt.
E. Sam is not an orange belt or Kate is not a red belt.
Answer:
C. Same is not an orange belt and Kate is not a red belt.
Step-by-step explanation:
The negation for the statement is Sam is not an orange belt or Kate is not a red belt.
What is Negation of De- Morgan's Law?The negation of a conjunction is equivalent to the disjunction of the negation of the statements making up the conjunction. To negate an “and” statement, negate each part and change the “and” to “or”.
Given statement:
Sam is an orange belt and Kate is a red belt.
Now, to make the negation we have to consider the rule "To negate an “and” statement, negate each part and change the “and” to “or”."
So, the negation statement would be
Sam is not an orange belt or Kate is not a red belt.
Learn more about De Morgan's laws here:
https://brainly.com/question/13317840
#SPJ2
Find the measure of arc JKM if angle KLM = 50 degrees.
Answer:
180°
Step-by-step explanation:
Answer:
180 = arc JKM
Step-by-step explanation:
Angle JM is a straight line so the angle is 180
Central Angle = Intercepted Arc
angle JM = arc JKM
180 = arc JKM
Identify the point corresponding to Q.
A (-3,-2)
B (1,-1)
C (-3,2)
D (-2,-1)
Answer:
C (-3,2)
Step-by-step explanation:
Well point Q on the parabola is located on point (1,2),
The corresponding point means the point located all the way to the left of Q which is (-3,2).
Thus,
the point that is corresponding to point Q is C. (-3,2).
Hope this helps :)
1 1/2 + 2 1/2 x 3/4 -1/2
Answer:
[tex]\frac{23}{8} [/tex]Step-by-step explanation:
[tex]1 \frac{1}{2} + 2 \frac{1}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]
Convert the mixed number to an improper fraction
[tex] \frac{3}{2} + \frac{5}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]
Multiply the fractions
[tex] \frac{3}{2} + \frac{15}{8} - \frac{1}{2} [/tex]
Calculate the sum
[tex] \frac{3 \times 4 + 15}{8} - \frac{1}{2} [/tex]
[tex] \frac{12 + 15}{8} - \frac{1}{2} [/tex]
Add the numbers
[tex] \frac{27}{8} - \frac{1}{2} [/tex]
Calculate the difference
[tex] \frac{27 - 1 \times 4}{8} [/tex]
[tex] \frac{27 - 4}{8} [/tex]
[tex] \frac{23}{8} [/tex]
Hope this helps...
Best regards!!
What is the measure of each interior angle of a regular nonagon (nine-sided polygon) ? 2 points 60° 120° 140° 40°
Answer:
the answer is to your question is 140
Answer:
140°
Step-by-step explanation:
9 - 2 = 7
7 x 180= 1260° (sum of all interior angles)
1260 ÷ 9= 140° (measure of one interior angle)
Sam needs a web designer. Designer A is offering her services for an initial $500 in addition to $100 per hour. Designer B is offering her service for an initial $600 in addition to $50 per hour. Till how many hours company B will be cheaper option for him?
Answer:
2 hours
Step-by-step explanation:
Let's denote the amount of time we need to find out, t.
=> 600 + 50t < 500 + 100t
or 600 - 500 < 100t - 50t
or 100 < 50t
or 100/50 < t
or t > 2
=> After 2 hours, company B will be cheaper option than company A
Maddy and her cousin work during the summer for a landscaping company. Maddy's cousin has been working for the company longer, so her pay is 30% more than Maddy's. Last week, Maddy's cousin worked 27 hours, and Maddy worked 23 hours. Together, they earned $493.85. What is Maddy's hourly pay?
In a scale drawing of a rectangular deck, the
length is 10 inches and the width is 8 inches. In
the drawing, 4 inches represents 3 yards. What
is the length of the actual deck, in yards?
Answer:
45
Step-by-step explanation:
10/4x3=7.5
8/4x3=6
6x7.5=45yards
Based on the table, which best predicts the end
behavior of the graph of f(x)?
As x, f(x) —, and as x->-0, f(x) →..
As x 700, f(x) →, and as x -→-00, f(x) →--.
As x, f(x) →-00, and as x———00, f(x)
As x -+-0, f(x) →-00, and as x->-00, f(x) -
->
-→-00
Answer:
The correct option is;
As x → ∞ f(x) → -∞, and as x → -∞ f(x) →∞
Step-by-step explanation:
The values given are;
x, f(x)
-4, 18
-3, 9
-2, 6
-1, 3
0, 0
1, -3
2, -6
3, -9
4, -18
Based on the table, as the magnitude of x increases in the positive direction, the magnitude of f(x) increases in the negative direction
Therefore, the correct option that best predicts the end behavior of the graph of f(x) is As x → ∞ f(x) → -∞, and as x → -∞ f(x) →∞.
What the answer question now
Answer:
UW=41
Step-by-step explanation:
the tangent line and the radius always meet at a right angle(90 degrees)
UWV is a right angle triangle, apply the Pythagorean theorem:
a²+b²=c² (a=40, b=9, c=UW)
40²+9²=c²
c=√40²+9²=√1600+81=√1681
c= 41
80 people took a driving test. 70 of them passed the test. What percentage failed the test?
Answer:
12.5% failed
Step-by-step explanation:
Convert the fraction 10 out of 80 into a decimal to become the percentage
Answer: 87.5% failed driving test is 12.5%
Step-by-step explanation:
Six friends went to a restaurant and agreed to share the bill equally. However, two people forgot their wallets so the other four friends' portions of the bill went up by $7 each. How many dollars was the total bill?
Answer:
The total bill was $84
Step-by-step explanation:
Ok so we know a few things, we know that the total cost of the bill is divisible by both 6 and 4, and we know that if we call the total cost of the bill x and the amount each person would pay if it was divided for 6 people y we can write these equations:
[tex]\frac{x}{6}=y[/tex]
[tex]\frac{x}{4}=y+7[/tex]
Now we can substitute the first equation into the second and solve for x
[tex]\frac{x}{4}=\frac{x}{6}+7\\\frac{x}{4}-\frac{x}{6}=7\\\frac{x}{12}=7\\x=7*12=84[/tex]
Therefore, the total bill was $84
A school counselor surveyed 90 randomly selected students about thé langages they speak. Of thé students surveyed 16 speak more than one langage fluently. Bases on thèse résults, How many of thé 1800 students at thé school can be expected to speak more than one langage fluently
Answer: 320 students
Step-by-step explanation:
From the question, we are informed that a school counselor surveyed 90 randomly selected students about thé langages they speak and thé students surveyed 16 speak more than one langage fluently. This means that 16/90 speak more than one language.
When 1800 students are surveyed, the number of students that can be expected to speak more than one langage fluently will be:
= 16/90 × 1800
= 16 × 20
= 320 students
PLZ HELP. Will give brainliest if answered correctly with explanation.
Answer:
90 degrees
Step-by-step explanation:
given:
ABCD~EFGH
mB=mBCD=90
mBAD=128
find mFGH
this means that we are looking for angle G, and it is given that G is equal to C. it is also given that C is equal to B in mB=mBCD. finally, it is given that mB and mBCD, which are both equal, are 90 degrees. this means that mC is 90 degrees, and since mC is equal to mG, mG is equal to 90 degrees
PLZZ HELP Fill in the blank with the correct response. The slope of the graph of y = x is ___a0.
Answer:
1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x ← is in slope- intercept form
with slope m = 1
Answer:
1
Step-by-step explanation:
Which pairs of events describe independent events?
Answer:last one is the correct ans...
Step-by-step explanation:
Pleased to help u....
Dan believes he can use the information given in the diagram and the SAS rule to prove the two triangles are congruent. Is he correct? Explain.
Answer:
Yes. There are two pairs of congruent sides and a pair of congruent angles. This follows the SAS rule.
The vertices of triangle ABC are A(5,2), B(-1,-6), and C(1,5). If triangle DEF is similar to triangle ABC and AB/DE = 5, which could be the coordinates of D and E
Answer:
im pretty sure its the third one
Step-by-step explanation:
i guessed but it might be right
In ∠QRS, m∠R=65°, and m∠S=35°. Which side of ΔQRS is the longest?
Answer:
The longest side of the ΔQRS is Side RS.
Step-by-step explanation:
Given: m∠R=65°, m∠S=35° we don't know what m∠Q is in ΔQRS.
To find m∠Q , we first need to know that all triangles have a sum of 180°. Since we are already given two angle measurements ( m∠R and m∠S) we can add them both measurements up which gives us 100°. Then we subtract 100 from the triangle sum which is 180° (180°-100°) and we are left with 80°. Which mean that m∠Q got to be 80°.
Now we know the all the angles measurements we can immediately find out which side is the longest. To find the longest side its always lie opposite the largest angle which in this m∠Q (80°). Which mean that side RS is the longest side in the triangle.
Find the x-intercepts of the graph
Answer:
(1,0) and (3,0)
Step-by-step explanation:
y=x^2-4x+3
To factor we need to know what numbers add up to -4 and multiply will equal to 3.
y=(x-3)(x-1)
The zeroes would be 3 and 1.
x=3 so y=0 for (x-3)
x=1 so y=0 for (x-1)
If right pls give me brainliest thank you.
Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
[tex]y=x^2-4x+3[/tex]
Plug y as 0 to find the x-intercepts.
[tex]0=x^2-4x+3[/tex]
Factor right side.
[tex]0=x^2-1x-3x+3[/tex]
[tex]0=x(x-1)-3(x-1)[/tex]
[tex]0=(x-1)(x-3)[/tex]
Set factors equal to 0.
[tex]x-1=0\\x=1\\x-3=0\\x=3[/tex]
x=1 or x=3 when y=0
Use the elimination method to solve the system of equations.
3x + 4y = 8
x-y=12
O A. (8,4)
O B. (-4,8)
C. (0,2)
O D. (8,-4)
Answer:
Option D. (8, – 4)
Step-by-step explanation:
3x + 4y = 8 ..... (1)
x – y = 12.... (2)
To solve the above equation by elimination method, do the following:
Step 1:
Multiply equation 1 by the coefficient of x in equation 2 i.e 1.
Multiply equation 2 by the coefficient of x in equation 1 i.e 3. This is illustrated below:
1 × Equation 1
1 × (3x + 4y = 8)
3x + 4y = 8 ...... (3)
3 × Equation 2
3 × ( x – y = 12)
3x – 3y = 36......(4)
Step 2:
Subtract equation 3 from equation 4. This is illustrated below:
. 3x – 3y = 36
– (3x + 4y = 8)
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
– 7y = 28
Divide both side by the coefficient of y i.e –7
y = 28/–7
y = – 4
Step 3:
Substitute the value of y into any of the equation to obtain the value of x. In this case, we shall substitute the value of y into equation 2 as shown below:
x – y = 12
y = –4
x – (–4) = 12
x + 4 = 12
x = 12 – 4
x = 8
Therefore, the solution to the equation above is (8, – 4)
Answer:
(8, – 4)
Step-by-step explanation:
my math teacher told me
Colin leaves school to go home. He walks 3 blocks south and then 9 blocks west. If Colin could walk in a straight line to the school, what is the exact distance between Colin and the school?
Answer:
9.48*
Step-by-step explanation:
This is a right triangle. The formula for solving the Hypotenuse, or the longest side of the right triangle is A^2 + B^2 = C^2. If we put the numbers from the problem into the formula this is what we get :
3^2 + 9^2 = C^2
9 + 81 = C^2
90 = C^2
9.48 = C
* This is rounded, the exact number is closer to 9.486832980505138. Your class should tell you what to round to.
Answer:
The answer would be A. 3√10 blocks
Step-by-step explanation:
I have had this question and its 3√10 blocks.
Hope this helps you other people :))
SOMEONE PLEASE HELPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!11
The red graph is the black graph reflected in the y axis, y = f(-x)
It's an odd way to write it, but the answer is:
Answer: D
Does this table represent a function? Why or why not?
Answer:
A Yes, because every x value corresponds to exactly one y value
Step-by-step explanation:
A function has a one to one correspondence, or every x goes to only one y value
Since each x goes to only 1 y value this is a function
Answer: It is a function
Step-by-step explanation:
One way to tell if it is a function or not, is to look at the X and Y. While 2 different X values can get the same Y value, one X value should not have 2 different Y values. In the table you can see, there are no repeating X values that have different Y values.
EXAMPLES:
(14, 15)
(13,15)
If these two showed up in a table, it could still be a function
(14, 15)
(14, 16)
If these pairs showed up in a table, than it would not be considered a function
Heyy umm I need help
Answers
B, D and E are proportional
A, C, and F are not proportional
y = 3+x .... not proportional
y = 1.6x .... proportional
y = 3/(4x) .... not proportional
y = x .... proportional
y = 12x .... proportional
y = 2x+1 ... not proportional
=================================================
Explanations:
Anything in the form y = k*x is a direct proportional equation. As x goes up, so does y. The same happens if x decreases, and we'll have y also decrease. They go up together or down together. This is where the "direct" comes from. Specifically they change the same amount each time (hence the term "proportional").
For something like y = 1.6x, we have k = 1.6
In the equation y = x, we have y = 1x in reality so k = 1 here.
Lastly, y = 12x has k = 12.
----------------------
The other equations are not in the form y = kx. Whenever we have y = mx+b, with b nonzero, then y = mx+b is not proportional. The value of b must be 0 for it to fit y = kx form. This rules out y = 2x+1 and y = 3+x or y = x+3.
The equation y = 3/(4x) is an inversely proportional equation in the form y = k/x. It cannot be written as y = kx. Note how x is in the denominator for y = 3/(4x) while the same can't be said for y = kx. Inversely proportional equations have x increase and y decrease, or vice versa. They go in opposite directions.