Paying from his UK account will be More profitable.
What is Unit conversion?A statement of the connection between units that are used to alter the units of a measured quantity without affecting the value is called a conversion factor. A conversion ratio (or unit factor), if the numerator and denominator have the same value represented in various units, always equals one (1).
Given, A Kenyan businessman US$100 to a company in the United States of America. The Kenyan can either pay through his account in Kenya or through his account in the United Kingdom.
if he pays in US Dollars:
1 US Dollar = 76.84 Kenya Shillings
100 US Dollars = 7,684 Kenya Shillings
If he pays in UK pounds:
1 Sterling Pound = 1.53 US dollars
And, 1 Sterling pound = 115.70 Kenya shillings
1 US Dollar = 1/1.53 US Pound
Thus, 1 US Dollar = 1/1.53 * 115.70 Kenya shillings
1 US Dollar = 75.62 Kenya shillings
100 US Dollar = 7,562.09 Kenya shillings
Therefore, Paying from his UK account will be More profitable.
Learn more about unit conversion here:
https://brainly.com/question/19420601
#SPJ1
Pls help due in hour :(
Answer:
f(x) = (1/5)x - (2/5)
Step-by-step explanation:
The linear function can be written in the form of f(x) = mx + b, where m is the slope and b is the y-intercept.
To find the rule for the linear function when x=-10, y=-1, when x=0, y=1 and when x=10, y=3, we can use the two points method.
We can start by finding the slope (m) of the function using the following formula:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are two points on the line.
Using the point (-10, -1) and (10, 3) we get:
m = (3 - (-1)) / (10 - (-10)) = 4/20 = 1/5
Now that we know the slope, we can use the point-slope form of the equation of a line to find the equation of the line:
y - y1 = m(x - x1)
Plug in one of the points and the slope that we found:
y - (-1) = (1/5)(x - (-10))
y = (1/5)x - (2/5)
So the equation of the linear function is f(x) = (1/5)x - (2/5)
This is the rule of the linear function when x=-10, y=-1, when x=0, y=1 and when x=10, y=3.
How do you find the smallest and largest angle of a triangle?
To calculate measure of the angle of a given triangle apply cosine rule :
c² = a² + b² - 2abcos C
b² = a² + c² - 2ac cos B
a² = c² + b² - 2cbcos A and by comparison find the smallest and the largest angle.
As given in the question,
Consider a triangle ABC to determine the smallest and the largest angle of the triangle,
Side opposite to angle A = BC
Side opposite to angle B = AC
Side opposite to angle C = AB
Let
side AB = c
side AC = b
side BC = a
To determine the measure of the angle using side measurement apply
cosine rule :
c² = a² + b² - 2abcos C
b² = a² + c² - 2ac cos B
a² = c² + b² - 2cbcos A
Calculate measure of all the angles and compare them to determine smallest and largest angle of the triangle.
Therefore, to find the measure of the angle of a triangle use cosine rule and by comparison determine the smallest and the largest angle.
Learn more about triangle here
brainly.com/question/2773823
#SPJ4
What is the mode of the teachers' ages?
Check the picture below.
3 pairs of jeans and 6 shirts costs 104.25 dollars. The cost of 4 pairs of jeans and 5 shirts is 112.15 dollars. Find the cost of each pair of jeans and each shirt?
Answer:
j=16.85
s=8.95
Step-by-step explanation:
j=jeans s=shirt
3j+6s=104.25
4j+5s=112.15
working:
3j+6s=104.25 dollars
4j+5s=112.15 dollars
(get j to be the same)
12j+24s=417 dollars
12j+15s=336.45 dollars
(subtract them)
9s=80.55 dollars
s=8.95 dollars
(substitute in)
(3 x j)+(6x8.95)=104.25 dollars
3 x j= 104.25-(6x8.95)
j=50.55/3 (50.55 divided by 3)
j=16.85 dollars
substitute in to double check
(3 x 16.85) + (6 x 8.95) = 104.25 dollars
check with the other equation and it works also, so that must be the values of j and s (jeans and shirt)
(4 x 16.85) + (5 x 8.95)=112.15 dollars
j=16.85
s=8.95
how many solutions does 2/3x=0 have?
Answer:
Step-by-step explanation:
what are the composite factors of 12 ?
Answer:
The prime factors of 12 are 2 x 2 x 3.
So the composite factors of 12 are:
1, 2, 3, 4, 6 and 12.
Can someone help me out with these two question please fast!?!?!?!
Patrice needs to consume more than 1200 calories, but less than 1600 calories.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given, Patrice is trying a low-calorie diet. She would like to keep her calories consumed between the levels shown in the following compound inequality: 2450 < 2x + 50 and 2x + 50 < 3250.
From the first inequality
2450 < 2x + 50
2400 < 2x
x > 1200
From the second inequality
2x + 50 < 3250.
2x < 3200
x < 1600
Therefore, x > 1200 and x < 1600; Patrice needs to consume more than 1200 calories, but less than 1600 calories.
Learn more about inequalities here:
https://brainly.com/question/30231190
#SPJ1
A) A contractor is buying a truck for work. They have saved $2,000.00 for the down payment. The remaining $4,000.00 will be financed through the dealership for three years at an interest rate of 2%. How much interest would they pay by the end of the finance?
Answer:
$240
Step-by-step explanation:
To calculate the interest, you need to multiply the principal (the amount financed, $4,000.00) by the interest rate (2%) and the number of years (3).
So, the interest would be: $4,000.00 x 0.02 x 3 = $240.00
The contractor would pay $240.00 in interest over the course of the 3-year financing.
PT and PS are tangents of a circle with centre at O. T
∠SPT=600
a) Find the measure of ∠SOT
b) Find the measure of∠ POT
Please find attached herewith the solution of your question.
Hope it helps
1.4 ÷ 5.04
pls helpi neeed thsi rnrnnr
Answer:
0.27
Step-by-step explanation:
I hope this helps :)
A: -4p²q²-3pq
B: 4c²-12c to the 4th
C: 3m²+9m³
D: c³+c to the 7th
E:-24x to the 4th -16x to the 8th
PLEASE WRITE ALL AS A PRODUCT QUICK HELP
The required product are as follows,
A: -4p²q²-3pq = 4c²[1 - 3c²] B: 4c²-12c⁴ = 4c²[1 - 3c²]
C: 3m²+9m³ = 3m²{1 + 3m} D: c³+c⁷ = c³[1 + c⁴]
E: 24x⁴ - 16x⁸ = 8x⁴[3 - 2x²]
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
(a)
Given expression,
-4p²q²-3pq = -pq (4pq + 3)
Similarly,
B: 4c²-12c⁴ = 4c²[1 - 3c²]
C: 3m²+9m³ = 3m²{1 + 3m}
D: c³+c⁷ = c³[1 + c⁴]
E: 24x⁴ - 16x⁸ = 8x⁴[3 - 2x²]
Thus, the required products has be illustrated above.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
Sue played four games of golf. For these games her modal score was 98 and her mean score was 100. Her range of scores was 10.
Answer
212
because I added the 98,4,100,10
Answer:
This question is based on the concept of mean. Therefore, the scores for the four games were 97, 98, 98, 107.
Given:
Sue played four games of golf. For these games her modal score was 98 and her mean score was 100. Her range of scores was 10.
According to the question,
If the modal score is 98 then, there must be two games where she scored 98.
The mean is the total of all of her scores divided by the number of games,
We get,
98+98+x+y=400
x+y= 204
As it is given that, the range is 10 and x is the lowest and y is the highest we can say that:
As we know that, her range of scores was 10,
97+10= 107
Therefore, the scores for the four games were 97, 98, 98, 107.
A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Which expression represents the volume of the pyramid? xy cm^3 x^2y cm^3 xy^2 cm^3 x^2y cm^3
For our pyramid, this gives us the volume of the pyramid (1/3)x²y.
Let the length of base be x and height be y
Volume of pyramid = [tex]\frac{1}{3}[/tex]× l× b× h
The volume of a right rectangular prism is found by finding the area of the base and multiplying by the height. This is because there are "layers" of the base from the bottom to the top, making the height the number of "layers."
However, in a pyramid, the shape comes to a point. This makes the volume of a pyramid 1/3 of that of the corresponding prism.
For our pyramid, the area of the base would be x(x) = x².
There are y layers of this base, so this would be x²y.
Since it is a pyramid, this gives us the volume of the pyramid (1/3)x²y.
To know more about pyramid visit brainly.com/question/17615619
#SPJ4
A survey asked stamp collectors how many stamps they have in their collection. The box-and-whisker plot summarizes the responses. Between what 2 numbers do the middle half of the responses fall
Therefore , the solution of plotting data comes out to be each whisker has a crossbar at the very end that is optional and has no significance in terms of length.
What is data plotting?A graph illustrating the correlation between two extra variables is the most common way to present data using a chart. It is also permitted to use diagrams that were manually or digitally drawn. starting at the origin, go 3 units up, then 2 units to the right. It is necessary to display the numbers for the positions 2, 3, and 4 on the reference system. Make your points really clear. 2.3 is represented by the pinkish dot with letter P. For each value in a data collection, you must first create a number line before you can create a line chart.
Here,
The boxplot, in its most basic version, visualizes five sample statistics: the minimum, the smallest value, the mean, the upper quartile, and the maximum.
The plot's box is a rectangle with ends at each quartile that encloses the sample's middle half. Therefore, the box's length represents the sample's interquartile range.
Nothing specific is represented by the box's other dimension. At the sample median, a line is drawn from across box.
Up until they hit the sampling maximum and minimum, whiskers extend from the box's two ends.
Each whisker has a crossbar at the very end that is optional and has no significance in terms of length.
Therefore , the solution of plotting data comes out to be each whisker has a crossbar at the very end that is optional and has no significance in terms of length.
To know more about plotting data visit:
https://brainly.com/question/29096917
#SPJ4
Kabir paid an entrance of $5 plus an additional 0.75 per game at a local arcade. The next week, he and a friend went to another arcade where kabir paid $1.25 per game, but there was no entrance fee
How many games will kabir have to play at each arcade to spend the same amount of money at each arcade?
On solving the provided question, we can say that by equation so he has to play 10 games at each arcade, to spend the same amount of money at each arcade
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
the equation that we can create here is
Kabir paid an entrance of $5 plus an additional 0.75 per game at a local arcade.
he and a friend went to another arcade where kabir paid $1.25 per game, but there was no entrance fee
let kabir played 10 games.
then at arcade 1 he spends $5 + (10*0.75) = 5 + 7.5 = $12.5
now at arcade 2 = 12.5/1.25 = 10 to spend the same amount of money at each arcade
so he has to play 10 games at each arcade, to spend the same amount of money at each arcade
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Find the length of the toothpick nearest millimeter
Answer:
85 Millimeters
Step-by-step explanation:
1 centimeter is equal to 10 millimeters. Hope this helped!
let $s$ be the set of all real numbers $\alpha$ such that the function\[\frac{x^2 5x \alpha}{x^2 7x - 44}\]can be expressed as a quotient of two linear functions. what is the sum of the elements of $s$?
The sum of all the elements of set S is -(220/7).
To express the function (x^2+5x +y)/(x^2+7x - 44) as a quotient of two linear functions, the denominator must be a factor of the numerator. In other words, (x^2+7x - 44) must divide (x^2+5x +y) without leaving any remainder. To find the sum of the elements of S, we can set the numerator equal to the denominator multiplied by a constant and solve for y.
x^2+5x +y = c(x^2+7x - 44)
The constant c is a scalar value.
x^2+5x +y = cx^2 +7cx - 44c
we can now equate the coefficients of x^2 and x.
1 = c
and, 5 = 7c
now we can solve for c:
c = 5/7
Now we can substitute the value of c back into the equation:
x^2+5x +y = (5/7)(x^2+7x - 44)
=> x^2+5x +y = (5/7)x^2 + (35/7)x - (220/7)
we can now equate the constant terms:
y = -(220/7)
Read more about Algebra:
https://brainly.com/question/20630338
#SPJ4
Solve the given differential equation by separation of variables. csc(y) dx + sec2(x) dy = 0
The given differential equation with variable separation will be cosy = -1/2 sin2x + C.
What is a differential equation?A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions.
Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.
Due to the prevalence of these relationships, differential equations are widely used in many fields, including engineering, physics, economics, and biology.
So, we have the differential equation:
csc(y) dx + sec2(x) dy = 0
We, are aware that:
csc(y) = 1/ siny
sec(x) = 1/ cosx
We can also write it:
dx/siny = dy/cos2x
Cross multiplication with variable separation:
siny dy = cos2x dx
Differentiate:
cosy = -1/2 sin2x + C
As a result, the given differential equation with variable separation will be
cosy = -1/2 sin2x + C.
Therefore, the given differential equation with variable separation will be cosy = -1/2 sin2x + C.
Know more about differential equations here:
https://brainly.com/question/28099315
#SPJ4
2.7-6.8x=-6.8-5.1x round to the nearest tenth
The given algebraic expression when solved to the nearest tenth is 5.6
How to solve like terms?2.7 - 6.8x = - 6.8 - 5.1x
collect like terms
2.7 + 6.8 = -5.1x + 6.8x
9.5 = 1.7x
divide both sides by 1.7
x = 9.5/1.7
x = 5.6
Therefore, the algebraic expression is given by x = 5.6
Read more on like terms:
https://brainly.com/question/17471184
#SPJ1
I WILL MARK BRAINLIEST IMMEDIATELY PLSS
Using a system of equations, Christine's investments in account one were $4,000 and in account two $16,000.
What is a system of equations?A system of equations refers to simultaneous equations.
Simultaneous equations are two or more equations solved concurrently.
Total investment in two accounts = $20,000
The simple interest rate for account one, x = 8%
The simple interest rate for account two, y = 10%
Total interest for a year = $1,920
Let account one = x and account two = y
Equations:x + y = 20,000 ... Equation 1
0.08x + 0.1y = 1,920 ... Equation 2
Multiply Equation 1 by 0.08
0.08x + 0.08y = 1,600 ... Equation 3
Subtract Equation 3 from Equation 2:
0.08x + 0.1y = 1,920
-
0.08x + 0.08y = 1,600
0.02y = 320
y = 16,000
= $16,000
In Equation 1, x + y = 20,000, Substitute y = 16,000:
x + 16,000 = 20,000
x = 4,000
= $4,000
Check:
From Equation 2:
0.08x + 0.1y = 1,920
0.08(4,000) + 0.1(16,000) = 1,920
320 + 1,600 = 1,920
Thus, using simultaneous equations, we can conclude that Christine invested $4,000 in the first account and $16,000 in the second account.
Learn more about simultaneous equations at https://brainly.com/question/16863577
#SPJ1
Complete Question:Last year, Christine had $20,000 to invest. She invested some of it in an account that paid 8% simple interest per year, and she invested the rest in an account that paid 10% simple interest per year. After one year, she received a total of $1920 in interest. How much did she invest in each account?
First account:
Second account:
Please help me with this question
Answer:
C. No; you would need to know that each pair of diagonals is perpendicular.
Step-by-step explanation:
It is not sufficient to establish that MNOP and TQRS are congruent parallelograms given that MO=TR and NP=QS. Parallelograms that are congruent have the same size and form. A common method for demonstrating that two parallelograms are congruent is to use one of the following criteria:
SSS (Side-Side-Side) : If all three pairs of corresponding sides are congruent.
SAS (Side-Angle-Side): If two pairs of corresponding sides and the included angle are congruent
ASA (Angle-Side-Angle): If two pairs of corresponding angles and the included side are congruent
HL (Hypotenuse-Leg): If the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle
CPCTC (Corresponding parts of Congruent Triangles are Congruent)
Given that we only know that MO=TR and NP=QS, we do not have enough information to prove that the parallelograms are congruent. It is missing information about the angles and the diagonals of the parallelograms.
In addition to that, we need to know that the diagonals of the parallelograms bisect each other. If this is the case, then we can use HL to prove that the parallelograms are congruent.
If we changed the 2 to a 5 in the domain restriction , what would happen to the graph?
If we changed the 2 to a 5 in the domain restriction, the graph would become a line that extends infinitely in both directions.
What is domain restriction?Domain restriction in mathematics is the process of restricting the possible values of a variable to a certain range or subset of values. This can be done by limiting the domain of a function or equation. In general, domain restriction involves identifying a range of values for which the function or equation is valid and then discarding any values that do not fall within that range. For example, if a function was defined for all real numbers, but the domain was restricted to only positive values, then the function would no longer be valid for negative numbers.
If we changed the 2 to a 5 in the domain restriction, the graph would become a line that extends infinitely in both directions. This is because the equation y = 2x + 5 is equivalent to y = 5x, which is a line with a slope of 5 and a y-intercept of 5.
To learn more about domain restriction
https://brainly.com/question/28368825
#SPJ1
Can someone help me with this problem
Answer: D
Step-by-step explanation:
For a graph to be shifted to the left, the notation inside the X function must be positive 4. For a graph to be shifted upward, the addition of 6 must be outside the slope, indicating that it is not being done in the x-direction, but in the y-direction.
The quadratic equation
is in standard form.
What is the y-intercept for the graph of this equation?
y-intercept:
y = 0.9x² + 7x + 19
Be sure to enter your answers as POINTS (a.k.a., ordered-pairs). Do not enter your answer
a number.
Which best describes the graph of this equation?
O Parabola opens upward
O Parabola opens downward
O Cannot be determine from information provided.
y-intercept: (0,19)
The y-intercept of an equation is the point where the graph of the equation crosses the y-axis. In this case, when x = 0, the equation simplifies to y = 19, so the y-intercept of the graph is (0, 19).
The coefficient of the x² term is 0.9, which is positive, so the parabola opens upwards.
So the answer is
Parabola opens upward.
I need help please help me?
A line in the xy-plane passes through the origin and has a slope of 1/7 . Which of the following points lies on the line? a. (0,7) b. (1,7) c. (7,7) d. (14,2)
(14,2) is the point lies on the slope-intercept form, line .
What does the slope intercept form mean?
The formula for a straight line, written as y = mx + b, where m denotes the line's slope and b its y-intercept. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.
In the slope-intercept form, the equation for the line is expressed as follows: y = mx + b, where m denotes the slope and b the y-intercept. We can observe that the line's slope is 3 from our equation, y = 3 x + 5.
All lines passing thru the origin should have a slope of y = mx + c
In this case, since the slope is 1/7 , the line will be y = 1/7x
Thus, it could observe which is the only point that satisfies this equation of the line out of all the points.
For choice "E" when x= 7 and y = 14 m = 1/7 and put the value in y = mx + c it will give 14 = 2 , which is wrong.
Learn more about slope intercept form
brainly.com/question/29146348
#SPJ4
What is the answer to simplifying this
The answer to the simplification is 56.
What is order of precedence?The order of precedence is the hierarchical order in which calculations are conducted. The simplest example of this is the way you always multiply before you add numbers.
In mathematics, you have BODMAS
B = Bracket
O = of
D = Division
M = Multiplication
A = Addition
S = Subtraction
From the equation;
7 x (-7 +15)
Removing the bracket
7 x (8)
Multiplying
56
Learn more about order of precedence here:https://brainly.com/question/1599125
#SPJ1
help its due at 11:59 and i dont know
what to do
Answer:
I think you just multiple 9, 8, 9 and 7?
What is the difference between halves and half?
Answer: havles and half have a difference of the amount of halves
Step-by-step explanation: such as one half is just 1 havles, but 2 halves you have 2 a halfs.
Eric sells beaded necklaces. Each large necklace sells for 4.90 and each small necklace sells for .4.40 How much will he earn from selling 1 large necklace and 3 small necklaces?
Using mathematical operations, Eric's total earnings from selling one large necklace and three small necklaces are $6.10.
How are the total earnings determined?The total earnings from the sales of large and small necklaces by Eric are determined as the sum of the revenue from the sale of both necklaces.
For each class, the revenue is determined by multiplying the units sold and the unit selling price.
The two basic mathematical operations involved in determining the total revenue are multiplication and addition.
The selling price of a large necklace per unit = $4.90
The selling price of a small necklace per unit = $0.40
The number of large necklaces sold = 1
The number of small necklaces sold = 3
The total earnings = $6.10 ($4.90 + 3 x $0.40)
Thus, using the mathematical operations of multiplication and addition operations, the total earnings from the sales of the large and small necklaces are obtained.
Learn more about mathematical operations at https://brainly.com/question/4721701
#SPJ1
Answer: $13.7
Step-by-step explanation:
$4.90 + $4.40 = $9.30 $9.30 +$4.40 = $13.7
