Answer:
$525.62
$13,244.64
Step-by-step explanation:
A = P(1 + r/n)^nt
Where,
A = future value = ?
P = principal = $24,600
r = interest rate = 7.2% = 0.072
n = number of periods = 12
t = time = 6 years
A = P(1 + r/n)^nt
= 24,600(1 + 0.072/12)^12*6
= 24,600(1 + 0.006)^72
= 24,600(1.006)^72
= 24,600(1.5384)
= 37,844.64
12 months × 6 years = 72 months
Each monthly payment = Total payment / number of months
= $37,844.64 / 72
= $525.62
Total amount of interest = Total payment - Principal payment
= $37,844.64 - $24,600
= $13,244.64
An ordinary quarter contains about 97,700,000,000,000,000,000,000 atoms
Answer: Wow thats amazing, thanks for this fact.
Step-by-step explanation:
Trevor is looking at purchasing a new cellular phone plan. Company A charges $35.25 a month, plus $.11/min for local calls. Company B charges $14.25 a month, plus $.32/min for local calls. Trevor stated that if he used x amount of minutes, the cost of the phone companies would be the same. For what amount of minutes, x, would Trevor's argument be true? Trevor is planning to use at least a 100 minutes for local a month. Which company would be cheaper for Trevor to use?
Answer: Trevor's argument will be true if he used 100 minutes.
Let x represent the amount of minutes that Trevor would use for the cost of the phone companies to be the same.
Company A charges $35.25 a month, plus $.11/min for local calls. This means that the total cost of making x minutes of call with Company A's plan is
32.25 + 0.11x
Company B charges $14.25 a month, plus $.32/min for local calls. This means that the total cost of making x minutes of call with Company B's plan is
14.25 + 0.32x
For both costs to be the same, the number of minutes would be
35.25 + 0.11x = 14.25 + 0.32x
0.32x - 0.11x = 35.25 - 14.25
0.21x = 21
x = 21/0.21 = 100
Step-by-step explanation:
What is rhe vertex of this parabola ?????? HELP
Answer:
The vertex is (3,1)
Step-by-step explanation:
Brainliest please
When you go to a restaurant you pay a 15% tip on a $80 bill. How much total did you pay?
Answer:
12 i think. I used a calculator ngl. but I think it's 12$
Simplify the expression: 3(q + 11) - 4
Answer:
8
Step-by-step explanation:
Huilan's age is two times Thomas's age. The sum of their ages is 30 . What is Thomas's age?
Answer:
10
Step-by-step explanation:
10+20=30
20 is two times 10
Since Thomas's age is half, Thomas's age is 10
Which equation can be used to prove 1 + tan?(x) = sec2(x)?
cos?(x), sin?(x) =_1
sec?(x) sec (x) sec?(x)
cos?(x), sin?(x) 1
sin?(x) sin?(x) sin?(x)
cos?(x), sin?(x) =_1
tan?(x) tan(x) tan2(x)
O
cos?(X) + sin?(X) - 1
cos(x) cos(x) cos(x)
Answer: D
Step-by-step explanation:
Graham drove 42 1/3 miles in 1 1/3 hours
How many hours did he take to drive one mile?
Answer: 1.89 minutes
Step-by-step explanation: If we take 1 and 1/3 hours and turn that into minutes we get 80 minutes we then divide it by the number of miles 42 1/3. We would get about 1.89, so it took about 1.89 minutes
please help please help please help please help
Answer:
it is -5
Step-by-step explanation:
Answer:
Correct Answer = -5
Step-by-step explanation:
Someone please help me i dont get how to do this?
Answer:
y= -3x-1
Step-by-step explanation:
hope this helps :)
Answer:
y = - 3x - 1
Step-by-step explanation:
The equation in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, - 4) and (x₂, y₂ ) = (2, - 7) ← 2 ordered pairs from the table
m = [tex]\frac{-7+4}{2-1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair into the partial equation
Using (1, - 4 ), then
- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1
y = - 3x - 1 ← equation of linear function
Mila reads at a rate of 3 paragraphs per minute.
After reading for 4 minutes, she had read a total of 12 paragraphs.
This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs.
Use this information to complete each statement about the linear equation.
Answer:
y= 3x
Step-by-step explanation:
This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.
Answer:
slope of the linear equation is 3
a point on the graph of a linear equation is (4,12)
linear equation can be written as y-12 = 3 (x-4)
Step-by-step explanation:
Cuz it is
graph the following function on the axes provided.
Answer:
Step-by-step explanation:
The graph of the piecewise function is attached below.
How to graph the following function on the axes provided?Function is a type of relation, or rule, that maps one input to specific single output.
The piecewise function is given as:
f(x) = - 6 for -6< x < 1
-2x + 5 for 1< x < 6
The above means that we plot the function on their interval or domain.
i.e. we plot f(x) = - 6 on the interval x < 0 and f(x) = -2x + 5 on the interval x < -6
Next, we plot the graph of the piecewise function.
Thus, The graph of the piecewise function is attached below.
Read more about piecewise function at;
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The table shown below represents a function. Which of the following values could not be used to complete the table?
Options:
A. -20
B. -5
C. -15
Answer:
may be
15 is the answer
hope it help uh
Part A: what is the measure of QRS?
Part B; what is the measure of Q?
Answer:
QRS = 66° and Q = 95°
Step-by-step explanation:
Required Answer
[tex]\huge {\boxed{\sf{∠QSR=66⁰}}}[/tex]
[tex]\huge {\boxed{\sf{∠Q=95}}}[/tex]
Correct Question:
To find of :
∠QSR∠QExplanation:
∠QSR+∠QRT=180⁰
Reason:
linear pair
.°. ∠QSR+114⁰=180⁰
∠QSR=180⁰-114⁰
∠QSR=66⁰
Can also be done as follows:
To find value of ∠QSR first we have to find y
y⁰+(5y)⁰=114
Reason:
exterior opposite angle is equal to sum of interior angles
6y=114
y=114/6
y=19
y⁰+(5y)⁰+∠QSR=180⁰
Reason:
sum of angles of triangle =180⁰
6y+∠QSR=180⁰
6×19+∠QSR=180⁰
114+∠QSR=180⁰
∠QSR=180⁰-114⁰
∠QSR=66⁰
From second part we get the value of y
.°.∠Q=5×19
∠Q=95
1. It takes 17 minutes
to ride 6 1\4 miles on a
bike. How many miles
can Peter ride in 1 hour?
Answer:
21.6
Step-by-step explanation:
I think
In ΔBCD, the measure of ∠D=90°, BC = 81 feet, and DB = 52 feet. Find the measure of ∠C to the nearest tenth of a degree.
Answer:
39.9°
Step-by-step explanation:
m∠C = β
sin β = [tex]\frac{52}{81}[/tex] ⇒ β = arcsin [tex]\frac{52}{81}[/tex] ≈ 39.9°
Answer:
39.9
Step-by-step explanation:
sinC=
sin C = \{52}{81}
sinC=
81
52
C=\sin^{-1}{52}{81})
C=sin −1 ( 81 /52 )
C=39.9393\ 39.9^
C=39.9393≈39.9∘
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.88
Step-by-step explanation:
What would the x and y intercept for the following question? 5x+10y=20
Answer:
y= 1/2x+2
y int is 2
x int is -2
Step-by-step explanation:
plug in 0 for y int
set the equation equal to 0 for x int
Find the value of x if C is the midpoint of line segment AB, AC=4x+5, and
AB=78?
Answer:
x = 8.5
Step-by-step explanation:
AC + CB = AB
As C is the midpoint AC = CB = 4X + 5
AC + CB = AB
4x + 5 + 4x + 5 = 78
4x + 4x + 5 + 5 = 78 {Combine like terms}
8x + 10 = 78 {Subtract 10 from both sides}
8x = 78 - 10
8x = 68
x = 68/8
x = 8.5
write an equation in point-slope form (4,-3) (2,-9)
Answer:
m = 3
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
The scale of a map is 2/5 inches represents 3 miles. How much does 1 inch represent?
Answer:
DEEEEEEZ NUTTTTTTZ
Step-by-step explanation:
The width of a rectangle is 15 cm and the perimeter is 72 cm. Find the length.
Answer:
22
Step-by-step explanation:
Answer:
the length is 21cm
Step-by-step explanation:
15*2=30
72-30=42
42/2=21
(3, 2) and 3-2)
Find the slope of the line through each pair
Answer:
m = undef
General Formulas and Concepts:
Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 2)
Point (3, -2)
Step 2: Find slope m
Substitute: [tex]m=\frac{-2-2}{3-3}[/tex]Subtract: [tex]m=\frac{-4}{0}[/tex]Simplify: m = undeff(n) = -n^3 – 4ng(n) =
-n +4Find: f(n) +g(n)
Answer:
-n^3 – 5n + 4
Step-by-step explanation:
f(n) = -n^3 – 4
g(n) = -n +4
f(n)+ g(n) = (-n^3 – 4n)+(-n +4)
= (-n^3 – 4n -n +4)
= -n^3 – 5n +4
Select the true statement about triangle ABC.
A. sin C = tan A
B. sin C = cos B
C. sin C = cos A
D. sin C = sin A
Answer:
C
Step-by-step explanation:
sin C=12/13
cos A=12/13
so sin C=cos A
The trigonometric function gives the ratio of different sides of a right-angle triangle. The correct option is C.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Let's solve the given statement as shown below.
A.)
sin C = tan A
sin C = 12/13
tan A = 5/12
Therefore, the given equation is not true.
B. sin C = cos B
sin C = 12/13
cos B = 5/13
Therefore, the given equation is not true.
C. sin C = cos A
sin C = 12/13
cos A = 12/13
Therefore, the given equation is true.
D. sin C = sin A
sin C = 12/13
Sin A = 5/13
Therefore, the given equation is not true.
Learn more about Trigonometric functions:
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A prime number is an integer greater than 1 with exactly two different positive factors, 1 and the number itself. There are three children in a family. Each of their ages is a prime number. The sum of their ages is 41 and at least two of the children have ages that differ by 16. Determine all possibilities for the ages of the children.
Answer:
Hence,
a=19,b=19,c=3
a=11,b=7,c=23
Step-by-step explanation:
[tex]Let\ their\ ages\ be\ a,b\ and\ c\ respectively, where\ a,b,c\ are\ primes\\Hence,\\a+b+c=41\\b-c=16\\Listing\ out\ all\ the\ primes\ from\ 0\ to\ 41\ we\ get:\\2,3,5,7,11,13,17,19,23,29,31,37,\\Hence,\\Lets\ seperate\ out\ the\ primes\ who\ differ\ by\ 16 :\\3\ and\ 19, 7\ and\ 23\ ,[/tex]
Hence,
[tex]Lets\ consider\ this\ set\ as\ b,c:\\Hence,\\To\ find\ a \\a=41-(b+c)\\Hence, By\ doing\ this\ indiviually\ we\ get:\\[/tex]
[tex]a=41-(19+3)\\a=41-22\\a=19\\Hence, a=19,b=19,c=3[/tex]
[tex]a=41-(23+7)\\a=41-30\\a=11\\Hence, a=11,b=7,c=23[/tex]
State the vertical asymptote of the rational function:
f(x) = ((x - 9)(x + 7)) / (x^2 - 4)
Answer:
Vertical Asymptotes: x=-2,2
Horizontal Asymptotes: y=1
Step-by-step explanation:
Plz mark brainliest.
find the midpoint of the line segment with the given endpoints(3, -5) and (7,9)
Answer:
Step-by-step explanation:
(x₁ , y₁) = (3 , -5) & (x₂, y₂) = (7 , 9)
[tex]Midpoint = (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})[/tex]
[tex]=(\frac{3+7}{2} , \frac{-5+9}{2})\\\\=(\frac{10}{2} , \frac{4}{2})\\\\=(5 , 2)[/tex]
original price of CD: $13.00
Discount: 40%
Answer:
$7.80
Step-by-step explanation:
Multiply 0.4 (that is 40%) by 13
It would be 5.2
So subtract 5.2 from $13.00
7.8
So the CD price would be $7.80 with a 40% discount
Hope this helps you :)
Answer:
$5.20
Step-by-step explanation:
First you needed to multiply 0.40 and 13 so that would give you 5.2 so because you are dealing with money you need to add a two after the 2 in 5.2 to make it $5.20. I hope this helped!
Function A has
The equation of line Ais
Function B has
Two different linear functions are shown below with two
points given from each function Use slope intercept form
or point slope form to find the equation of each
Linear Function A
Points (-5,-2), (5,7)
Linear Function B
Points(7,5).(-2,5)
The equation of line Bis
Answer: 4,1,2,2
explanation: I did it on edge 2021
