The distance between J1 and J2 is 2.94 miles using cosine rule.
What is cosine rule?
Cosine rule relates to the lengths of the sides of a triangle with any of its angles being a cosine angle. With the help of this rule, we can calculate the length of the side of a triangle or can find the measure of the angle between the sides.
cos x = ([tex]b^{2} +c^{2} -a^{2}[/tex])/2bc
x = 45
b = 4
c = 2
to find a
cos 45 = 4(4) +2(2) - [tex]a^{2}[/tex]/2(4)(2)
1/[tex]\sqrt{2}[/tex] = 16 +4 - [tex]a^{2}[/tex]/16
16/[tex]\sqrt{2}[/tex] = 20 - [tex]a^{2}[/tex]
a = 2.94
To know more about cosine rule, visit:
https://brainly.com/question/27145006
#SPJ13
PLEASE HELP SOON!!
Q.1 What is the expression written in simplified radical form? 6 sqrt 27 + 11 sqrt 75
Q.2 53√5 x (-103√50)
Q.3 Which expressions simplify to a rational answer?
Select each correct answer.
1/4 + 1/2
sqrt3 + 4
sqrt4 + 7
2 x sqrt9
7 x sqrt6
4x2sqrt3
3. 7 x (1/3)
7 x sqrt81
Step-by-step explanation:
Q.1
6×sqrt(27) + 11×sqrt(75) =
= 6×sqrt(3×9) + 11×sqrt(3×25) =
= 3×6×sqrt(3) + 5×11×sqrt(3) =
= 18×sqrt(3) + 55×sqrt(3) = 73×sqrt(3)
Q.2
53×sqrt(5) × (-103×sqrt(50)) =
= 53×-103 × sqrt(5)×sqrt(50) =
= -5459 × sqrt(5×50) = -5459 × sqrt(250) =
= -5459 × sqrt(10×25) = -5459 × 5×sqrt(10) =
= -27,295 × sqrt(10)
Q.3
1/4 + 1/2 rational (as both terms are rational)
sqrt3 + 4 irrational (as sqrt(3) is not rational)
sqrt4 + 7 rational (sqrt(4) = 2, 2+7 = 9)
2 x sqrt9 rational (sqrt(9) = 3, 2×3 = 6)
7 x sqrt6 irrational (sqrt(6) is not rational)
4x2sqrt3 irrational (sqrt(3) is not rational)
3. 7 x (1/3) rational (all terms are rational)
7 x sqrt81 rational (sqrt(81) = 9, 7×9 = 63)
time remaining 47:17 felipe used a 40 percent off coupon on a single item at the craft store which saved him $16.42. what would the item have cost if he had not used the coupon? $22.99 $32.84 $41.05 $56.42
The Item would cost if he had not used the coupon 41.05, this is the amount where he is not availing the offer percent.
Felipe has a limited time period to use the 40 percent off coupon on a single item. First, we suppose he avail the 40 percent coupon in the given mean time which is 47:17 then that single item would have cost the Felipe
According to the question, the item have cost if he had not used the coupon, so let the value of the single item is x
x × 40 % = $ 16.42
x × [tex]\frac{40}{100}[/tex] = $ 16.42
40 × x = 16.42 × 100
x = [tex]\frac{16.42 * 100}{40}[/tex]
x = $ 41.05
The Item would cost if he had not used the coupon 41.05, this is the amount where he is not availing the offer percent.
Learn more about percent :
brainly.com/question/14699403
#SPJ4
Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative
What is the explanation?
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
Step-by-step explanation:
From the picture attached,
Coordinates of the vertices of the given triangle,
U → (2, 7)
V → (10. 7)
W → (2, 3)
Since rule for the coordinates of a point P(x, y) after a rotation of 90° counterclockwise about the origin is,
to more about rotation 90° refer to:
https://brainly.com/question/21289953
#SPJ13
The associative property works with expressions that use
Question 7 options:
division and subtraction
multiplication and addition
The associative property can be applied to addition and multiplication.
When more than two numbers are added together or multiplied, the outcome is always the same, regardless of how the numbers are arranged. This is known as the associative property.
For example,
2 × (7 × 6) = (2 × 7) × 6
2 + (7 + 6) = (2 + 7) + 6
Associative Addition Property
The associative feature of addition states that the total sum of the numbers will not change no matter how they are arranged. This may be stated as follows:
(x + y) + (z + y) = x
Associative Multiplication Property
The idea behind the associative property for multiplication is that no matter how the numbers are arranged, the result will always be the same. This may be stated as follows:
P = (q)/(r) = (q)/(r)
Learn more about associative property visit: https://brainly.com/question/5637942
#SPJ1
Dale has $100 in a saving account that earns 5% annually, the interest earned is a simple interest. How much will he earn in 3 years? pleasee help asap tyty
The earned amount by Dale in 3 years is: 15 dollars.
How to calculate the amount?
To calculate the annually amount based on the principal money is by using simple interest method. This interest was given by the bank. And it is calculated by multiplying the principal amount, rate and time and divided by 100.
According to the question, the given amount parameters for the simple interest calculation is as follows:
Principal amount: $100
Rate of interest: 5%
Time(years): 3 years
Using standard simple interest formula, we get:
S.I. = (P x R x T)/100
S.I. = (100 x 5 x 3)/100 = 15 dollars
Hence, the earned amount by Dale in 3 years is: 15 dollars
To learn more about the amount calculation from the given link:
https://brainly.com/question/25793394
#SPJ9
GET A CROWN 20 POINTS
Suppose a certain die has six sides, numbered from 1 to 6, but that the die is peculiar, in that it has the following properties: On any roll, the probability of rolling either a 1, a 4, or a 5 is 1/2, just as it is with an ordinary fair die. Moreover, the probability of rolling either a 5, a 3, or a 2 is again 1/2. However, the probability of rolling a 5 is 7/16, not 1/6 as one would expect of an ordinary fair die.
what is the probability of rolling a 6, a 3, or a 2 on a 6 sided fair die?
What is the probability of rolling anything but a 6?
A. P( 2∪3∪6 ) = 1/2
B. P( 1∪2∪3∪4∪5 ) = 9/16
The probability of an occurrence e can be written as P (e), and its equation is as follows:
P (e) = Number of favorable outcomes / Total number of outcomes
This can only be used with a straightforward event.
The probability will also be influenced by other factors, whether they are imposed or a result of the event's inherent characteristics.
Using a six-sided die,
A) First, in order to gather as much information as possible from the question, we concentrate on the probabilities provided P(1∪4∪5)=1/2 and P(2∪3∪5)=1/2 and we need to use P(5)=7/16.
It's crucial to remember that while using a dice, receiving two values on the same roll is impossible. Due to this and the likelihood of certain circumstances:
P(1∪4∪5) = P(1) + P(4) + P(5) - P(1∩4)(= 0) - P(4∩5)(= 0) - P(1∩5)(= 0) + P(1∩4∩5)(= 0)
P(1∪4∪5)=P(1) + P(4) + P(5)
1/2 = P(1) + P(4) + 7/16
P(1)+P(4)=1/16
If we do the same with P(2∪3∪5), we get:
P(2) + P(3) = 1/16
Now that we have this new knowledge, we can determine P(6):
P(6) = 1 - P(1∪2∪3∪4∪5)
P(6) = 1 - [P(1) + P(2) + P(3) + P(4) + P(5)] -- (There is no chance that two of these will occur simultaneously.)
P(6) = 1 - (1/16 + 1/16 + 7/16)
P(6) = 1 - 9/16
P(6) = 7/16
And with it, we can find P(2∪3∪6):
P(2∪3∪6) = P(2) + P(3) + P(6)
P(2∪3∪6) = 1/16 + 7/16
P(2∪3∪6) = 8/16 = 1/2
B) Keep in mind that the probability you need to know if you wish to roll anything other than a 6 is P(1∪2∪3∪4∪5)" but we found that in part A
P(1∪2∪3∪4∪5) = 9/16
To know more about probability, refer to this link:
https://brainly.com/question/12629667
#SPJ1
a spherical ball is measured to have a radius of 5 mm, with a possible measurement error of 0.1 mm. use the differential to estimate the possible change in volume (in mm3) resulting from the error in measuring the radius.
The possible change in volume (in mm3) resulting from the error in measuring the radius is 32. 06 mm³
How to determine the volumeThe formula for volume of a sphere is expressed by;
Volume = 4/3 πr³
Where;
r is the radius of the spherepi takes the value 3.14From the information given, we have that the measured radius is 5 mm, with a possible measurement error of 0.1 mm
Then, radius a = 5mm
Radius b = 5 + 0. 1 = 5. 01mm
Now, substitute the values into the formula
Volume, v = 4/ 3 (3.14)(5)³
expand the bracket
Volume, v = 4/ 3 (392.5)
Volume, v = 523. 3 mm³
For radius of 5.01mm
Volume = 4/ 3 (3.14)(5.1)³
expand the bracket
Volume = 4/3 (416.52)
Volume = 555. 4 mm³
The change in volume = 555. 4 - 523. 3 = 32. 06 mm³
Hence, the change in volume is 32. 06 mm³
Learn more about volume here:
https://brainly.com/question/1972490
#SPJ1
There are 2 gyms. One, Buff Billy’s, has a joining cost of $80 and charges $25 a month. The other, Shredded Eddie’s, has no joining cost but charges $35 a month. At what month are both gyms the same total cost?
Answer:
One, Buff Billy's, has a joining cost of $80 and charges $25 a month. The other, Shredded Eddie's, has no joining cost but charges $35 a ...
Step-by-step explanation:
Simplify (574)-3. Assume n # 0.
1
57 ¹2
1
1257¹2
n'
125
125
DONE ✔
Simplified expression for [tex] \frac{1}{( {5n⁴})^{- 3} } [/tex] is 1/125n¹².
As per the rule of exponents, the powers will be multiplied. Representing the mentioned rule in the form of example -
[tex]( {{a}^{m} })^{n} = {{a}^{m} }^{ \times n} [/tex]
Another rule of exponent to be used in the question is : [tex] {a}^{ - x} = \frac{1}{ {a}^{x} } [/tex]
Now, simplifying the expression mentioned in question as per the above written rule.
Rewriting the equation according to second rule.
Value = [tex] \frac{1}{( {5n⁴})^{ 3} } [/tex]
Now, solving the equation by taking cube according to first rule
Value = 1/125n¹²
Thus, the simplified expression is 1/125n¹².
Learn more about rule of exponents -
https://brainly.com/question/847241
#SPJ1
6- 1/3x=-1 what is x
Answer:
x=21
Step-by-step explanation:
6-1/3x=-1
-6 -6
-1/3x=-7
__ __
-1/3 -1/3
x=21
Hello!
Let's solve:
[tex]\text{Copy down the equation}\\6-\dfrac{x}{3}=-1 \\\\\text{Move 'x/3' to the right side and '-1 to the other side}\\6+1=\dfrac{x}{3}\\ 7=\dfrac{x}{3} \\\\\text{Multiply 3 to both sides}\\7*3=3*\frac{x}{3} \\x = 21[/tex]
Answer: x = 21
Hope that helps!
Use the give piece wide function to answer the questions below
F(-4)= f(2)= f(6)= f(0)=
The values of the following functions are:-
f(-4) = 20
f(2) = -1
f(6) = 11
f(0) = -5
Given that ,
-3x + 8, -6 ≤ x ≤ -3
f(x) = [tex]x^2-5[/tex], -2 ≤ x ≤ 3
(1/2)x + 8 , 5 ≤ x ≤10
We have to find the values of f(-4) , f(2), f(6) and, f(0).
As, -6 < 4 < -3
So, we will write,
f(-4) = -3(-4) + 8 = 12 + 8= 20
As, -2 < 2 < 3
So, we will write,
f(2) = [tex](2)^2-5[/tex] = 4 - 5 = -1
As, 5 < 6 < 10
So, we will write,
f(6) = (1/2)(6) + 8 = 3 + 8 = 11
As, -2 < 0 < 3
So, we will write,
f(0) = [tex](0)^2-5[/tex] = 0 - 5 = -5
To learn more about functions, here:-
https://brainly.com/question/12431044
#SPJ1
which situation is best modeled by an exponential distribution? tafadzwa runs between 10 and 16 laps every day. his times get slower as he gets tired, but his daily average is 48.2 s per lap. what is the probability that his mean lap time tomorrow will be less than 45 s? suppose that meteors large enough to cause mass extinction strike the earth at regular, although exceedingly large, intervals. what is the probability that a large meteor strike will cause a mass extinction event within the next 1000 years? on a dark desert highway, drivers fall asleep and run off the road randomly. what is the probability that a driver will run off the road in one particular 10-mile stretch of this highway? suppose that people call in sick randomly and independently of one another at a business called acme anvil supply. on average, one person calls in sick per week. what is the probability that no one will call in sick next week? suppose that 0.76% of tires are defective, and defective tires occur independently of one another. what is the probability that no more than three of the next 100 tires are defective?
The situation that is best represented by an exponential distribution is given by the following option:
Tafadzwa runs between 10 and 16 laps every day. his times get slower as he gets tired, but his daily average is 48.2 s per lap. what is the probability that his mean lap time tomorrow will be less than 45 s?.
Exponential distributionThe exponential probability distribution, with mean m, is described by the following mass function:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
From this, we get that the exponential distribution is used when we want to study the time between events in a distribution, and only the first option in this problem gives it.
As for the other options, the distributions are as follows:
Meteor: Poisson distribution or binomial distribution, mean in a given time, we want to find the probability of a number.Drivers asleep in the highway: Poisson or binomial, also number of events in an interval.People calling in sick: Binomial distribution.Defective tires: Binomial distribution.More can be learned about the exponential distribution at https://brainly.com/question/16371214
#SPJ1
150 children attend a nursery, 72 of them are boys. What percentage are girls?
Answer:
52% of them are girls
Step-by-step explanation:
We know there are 150 children in the nursery and 72 of them are boys We have to find out how many girls are there and the percentage of girls To find out the number of girls we subtract the number of boys from the total number of children which is 150 - 72 which is 78 meaning there are 78 girls in the nurseryTo find the percentage of girls you divide 78/150 then you multiply by 100 so 78/150 is 0.52 multiply by 100 is 52. The percentage of girls in the nursery is 52%if the numerator of a fraction is multiplied by 4 and the denominator is reduced by 2, the result is 2. If the numerator of the fraction is increased by 15 and 2 is subtracted from the double of the denominator, the result is 9/7. Find the fraction.
Using the given information, the fraction is 3/8
Determining fractionsFrom the question, we are to determine the fraction
Let the numerator of the fraction be x and the denominator be y
From the given information,
"if the numerator of a fraction is multiplied by 4 and the denominator is reduced by 2, the result is 2"
That is,
4x/(y -2) = 2
and
" If the numerator of the fraction is increased by 15 and 2 is subtracted from the double of the denominator, the result is 9/7"
That is,
(x + 15)/(2y - 2) = 9/7
From the first equation,
4x/(y -2) = 2
4x = 2(y-2)
4x = 2y - 4
4x + 4 = 2y
y = 2x + 2 ----------- (3)
From the second equation,
(x + 15)/(2y - 2) = 9/7
7(x + 15) = 9(2y - 2)
7x + 105 = 18y - 18
Substitute equation (3)
7x + 105 = 18(2x + 2) - 18
7x + 105 = 36x + 36 - 18
105 - 36 + 18 = 36x - 7x
87 = 29x
x = 87/29
x = 3
Substitute the value of x into equation (3)
y = 2x + 2
y = 2(3) + 2
y = 6 + 2
y = 8
Thus, the number is 3/8
Learn more on Fractions here: https://brainly.com/question/14538396
#SPJ1
If 2x² + 7x + 10 = p(x+q)² +r for all values of x, find the values of p and q
If the coordinates of the vertex of a parabola are known [tex]V(p,k)[/tex], the equation for that parabola can be written by the following formula;7
[tex]y=a.(x-p)^2+k[/tex]Now let's find the vertex of the given equation.
[tex]V(p)=\frac{-b}{2a}=\frac{-7}{4} =p[/tex][tex]V(k)=f(p)=2(\frac{-7}{4} )^2+7(\frac{-7}{4} )+10=\frac{31}{8} =k[/tex]We've found our vertex.
[tex]V(p,k)=(\frac{-7}{4} ,\frac{31}{8} )[/tex]Let's substitute the unknowns in the formula I've given.
[tex]p(x+q)^2+r=p(x+\frac{7}{4} )^2+\frac{31}{8}[/tex]Let's expand the expression and find the coefficient p.
[tex]px^2+\frac{7px}{2}+\frac{49p}{16}+\frac{31}{8} =2x^2+7x+10[/tex][tex]p=2[/tex]Finally;
[tex]q=\frac{7}{4}[/tex]
[tex]p=2[/tex]
Use the following function rule to find f(38). f(x) = x/2
The output value of f( 38 ) in the function f( x ) = x/2 is 19.
What is the output value of f( 38 ) in the given function?A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.
Given the data in the question;
f( x ) = x/2f( 38 ) = ?To determine the output value of f( 38 ), replace all the occurrence of x with 38 in the function and simplify.
f( x ) = x/2
f( 38 ) = 38/2
Divide 38 by 2
f( 38 ) = 38/2
f( 38 ) = 19
Therefore, the output value is 19, this forms an ordered pair of ( 38,19 ).
Learn more about functions here: brainly.com/question/2541698
#SPJ1
graph the following features
y intercept = -6
slope= -1/2
The graph for given values is below -
What is graph?The link between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of some points and the connecting lines. It doesn't matter how long the lines are or where the points are located. A node is the name for each element in a graph.
For the graph,
the value of y for x = 1,
y = -6.3 or 13/2
(1,-6.5)
For x= 2,
y = -7
(2,-7)
For x = 4,
y = -8
(4, -8)
With respect to the given line which is y = -1/2x - 6
the coordinates are following -
(1,-6.5), (2,-7), (4, -8)
To learn more about graphs from given link
https://brainly.com/question/19040584
#SPJ9
Solve the given system of equations.S =t =-6s+ 3t = - 45-s-5t= -2
1. Solve s in the second equation:
[tex]\begin{gathered} -s-5t=-2 \\ -s=-2+5t \\ s=-(-2+5t) \\ s=2-5t \end{gathered}[/tex]2. Substitute the s in the first equation by the value you get in the previous step:
[tex]-6(2-5t)+3t=-45[/tex]3. Solve t:
[tex]\begin{gathered} -12+30t+3t=-45 \\ -12+33t=-45 \\ 33t=-45+12 \\ 33t=-33 \\ t=\frac{-33}{33} \\ \\ t=-1 \end{gathered}[/tex]4. Use the value of t to solve s:
[tex]\begin{gathered} s=2-5t \\ s=2-5(-1) \\ s=2+5 \\ s=7 \end{gathered}[/tex]Then, the solution of the given system of equations is s=7t= -1Multiply. Write your answer as a fraction in simplest form.
7. Find the area of the regular polygon.
12 km
14 km
Answer:
672 sq km
Step-by-step explanation:
Area of a regular polygon
[tex]A = \dfrac{P}{2} \times a[/tex]
P = perimeter of the polygon
a = apotherm which is defined as
The distance from the center of a regular polygon to the midpoint of a side.
The given polygon has 8 sides and each side is 12 km
So the perimeter P = 12 x 8 = 96 km
The apotherm is given as 14 km
So area
[tex]A = \dfrac{96}{2} \times 14 = 672 \text { sq km}[/tex]
What is the value of this expression
Given expression:
[tex]7p+\frac{q}{3}[/tex] , given that p = 6 and q = 12.
Here, we need to substitute the values of p and q in the given expression to obtain the value of the expression.
On substitution, the expression becomes,
[tex]7X6+\frac{12}{3}[/tex] ,
Here we use BODMAS rule ( Brackets, Orders, Division, Multiplication, Addition, Subtraction) , hence initially we do the division operation, then the multiplication operation and at last the addition operation,
= 7x6 + 4 = 42 + 4 = 46.
Hence, option D) 46 is the correct option.
These type of expressions can be solved by simply substituting the given values of the variables such as p, q and so on.
To know more about BODMAS rule, visit,
https://brainly.com/question/16738857
#BODMAS
I will Award Brainlist !! Help its a Math Question! Algebra 2 (basic)
At time 1.75 seconds the ball is in the 51 feet high.
What is substitution method?
Find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The height of the football could be describe by the model,
h = - 16t² + 56t + 2 ..... (i)
Where, h describes the height of the ball in feet.
and t is the time in seconds after the ball was kicked.
Now,
At height 51 feet, the time is calculated as;
Substitute h = 51 in equation (i), we get;
h = - 16t² + 56t + 2
51 = - 16t² + 56t + 2
16t² - 56t - 2 + 51 = 0
16t² - 56t + 49 = 0
Solve for t by using quadratic formula;
t = - (-56) ± √(-56)² - 4 × 16 × 49 / 2 × 16
t = 56 ± √3,136 - 3,136 / 32
t = 56 ± 0 / 32
t = 56 / 32
t = 1.75 seconds
Thus, At time 1.75 seconds the ball is in the 51 feet high.
Learn more about the substitution method visit:
https://brainly.com/question/27920508
#SPJ1
Part B If m=18, what must be the value of n for the equation to have infinitely many solutions? Explain your answer
The equation have infinitely many solution when n is equal to -15.41.
What is linear equation?A linear equation in one variable is an equation which has a maximum of one variable of order 1. It is of the form ax + b = 0, where x is the variable. This equation has only one solution.
Given equation is;
24( mx + n ) = 3x + 17
where; m and n are real numbers.
Part 1. If m = 14 and n = 13 then
Putting the value of m and n in the equation we get;
= 24( 14.x + 13 ) = 3x + 17
= 336x + 312 = 3x + 17
= 336x - 3x = 17- 312
= 333x = -295
x = 0.886
Hence, x = 0.886 the equation having one solution .
part 2. if m = 18 then to find n .
put m = 18 in the given equation;
= 24(18.(0.886) + n ) = 3(0.886) + 17
= 24(15.94) + 24n = 2.658 + 17
= 382.56 + 24n = 19.658
= 24n = 19.658 - 382.56
n = -15.41
Hence, The equation have infinitely many solution when n is equal to -15.41.
TO learn more details about the types of solution click the given below.
brainly.com/question/21400387
#SPJ1
The complete question is;
PART A: Rosie writes the equation 24(mx+n)=3x+17, where m and n are real numbers.
If m=14 and n=13, does the equation have one solution, infinitely many solutions, or no solutions? Explain your answer.
Wilson viaja 53.7 millas en 1.6 horas. ¿Cuál es su velocidad promedio a la décima de milla por hora
más cercana?
Uniform line movement.
The uniform rectilinear movement is the movement that maintains a variation of the distance with respect to time always constant, since the acceleration is zero.
If we know that Wilson travels 53.7 miles in 1.6 hours, we determine the average speed from the following equation:
Speed = distance / time
Speed = 53.7 miles / 1.6 hours
Speed = 33.5625 miles/hour
V = 33.6 miles/hour
The average speed that Wilson travels is: V = 33.6 miles/hour.
Learn at:https://brainly.com/question/16513152Learn at:https://brainly.com/question/17141837Learn at:https://brainly.com/question/13682534
27^ 1/3 evaluate please help
Answer:
3
Step-by-step explanation:
3=1/3^27
Step-by-step explanation:
3 is the answer , you can do it with a calculator
PLEASE HELP!!!! 40 POINTS
solve for y. 49-y=6y
Answer:
y = 7
eight grade math comes back to haunt me
Which expression can be used to find the total number of squares below?
6 × 7
7 × 5
6 × 1
7 + 5
6 + 1
An expression which can be used to find the total number of squares below (see attachment) is: B. 7 × 5
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In this exercise, you're required to determine the total number of squares that are shown in the image attached below. By critically observing the image, we can reasonably and logically deduce that there are five (5) categories of squares and each of them comprises seven (7) squares.
Therefore, the total number of squares can be calculated by using this expression:
Total number of squares = 7 × 5
Read more on expressions here: brainly.com/question/17361494
#SPJ1
4. You take a $4,500 loan to pay for trip
to the Amazon rainforest to photograph
wild animals. If the loan's interest rate is
8% for 1 year, what is the interest for the
first payment?
A $12.58
C $30.00
B $26.00
D $80.99
The interest for the first payment is $30.00
How to find interest?Interest is how much is paid for the use of money.
Therefore, you take a $4,500 loan to pay for trip to the Amazon rainforest to photograph wild animals.
The loan's interest rate is 8% for 1 year.
Therefore, the interest for the first payment can be calculated as follows:
Interest for the first payment = 8% of 4500 × 1 / 12
Interest for the first payment = 8 / 100 × 4500 × 1 / 12
Interest for the first payment = 8 × 45 × 1 / 12
Interest for the first payment = 360 / 12
Interest for the first payment = $30
Therefore,
interest = $30
learn more on interest here: https://brainly.com/question/13404463
#SPJ1
76,300,000 in scientific notation
Answer:
7.63 x 10⁷
Step-by-step explanation:
To convert to scientific notation you have to move the decimal place to where there is only one number in front of it. In this cause the number in front is 7. You have to maintain the same number of significant figures which in this case was 3 then multiply by 10 to the exponent of how many times you moved the decimal place.
Answer:
=76.3×10⁶
Step-by-step explanation:
=76,300,000÷1,000,000
=76.3×10⁶
Solve the equation for C
R-C=P