Answer:
(a) A = 0.00278787878787878x
(b) B = 0.00235294117647058x + 3
(c) The answers are as follows:
For buying by credit card
For 700 BWP: Cost = A = £1.95
For 800 BWP: Cost = A = £2.23
For 800 BWP: Cost = A = £2.79
For buying from a Bureau de Change
The equation (4) is used as follows:
For 700 BWP: Cost = B = £4.65
For 800 BWP: Cost = B = $4.88
For 1000 BWP: Cost = B = £5.35
(d) You would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.
Step-by-step explanation:
(a) by credit card
For the exchange rate, we have:
8.25 BWP = £1 ⇒ 8.25 / 8.25 BWP = £1 / 8.25 = 1.00 BWP = £0.121212121212121
The expression can therefore be written as follows:
A = £0.121212121212121 * r * x ................. (1)
Where;
A = cost (including commission) of buying a particular number of Botswana pulas by credit card
r = commission on a credit card transaction = 2.3%, or 0.023
x = the number of pulas bought
Substituting for r into equation (1), we have:
A = £0.121212121212121 * 0.023 * x
A = 0.00278787878787878x ................. (2)
Equation (2) is the expression.
(b) from a Bureau de Change
For the exchange rate, we have
8.5 BWP = £1 ⇒ 8.5 / 8.5 BWP = £1 / 8.5 = 1.00 BWP = 0.117647058823529
B = (£0.117647058823529 * r * x) + F ................. (3)
Where;
B = cost (including commission) of buying a particular number of Botswana pulas by from a Bureau de Change.
r = commission charged by Bureau de Change. = 2%, or 0.02
x = the number of pulas bought
F = fee = £3
Substituting for r and F into equation (3), we have:
B = (£0.117647058823529 * 0.02 * x) + £3
B = 0.00235294117647058x + 3 ................. (4)
Equation (4) is the expression.
c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.
For buying by credit card
The equation (2) is used as follows:
For 700 BWP: A = £0.00278787878787878 * 700 = £1.95
For 800 BWP: A = £0.00278787878787878 * 800 = £2.23
For 800 BWP: A = £0.00278787878787878 * 1000 = £2.79
For buying from a Bureau de Change
The equation (4) is used as follows:
For 700 BWP: B = (£0.00235294117647058 * 700) + £3 = £1.65 + £3 = £4.65
For 800 BWP: B = (£0.00235294117647058 * 800) + £3 = £1.88 + £3 = $4.88
For 1000 BWP: B = (£0.00235294117647058 * 1000) + £3 = £2.35 + £3 = £5.35
d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.
This can be calculated by equating equations (2) and (4) and then solve for x as follows:
0.00278787878787878x = 0.00235294117647058x + 3
0.00278787878787878x - 0.00235294117647058x = 3
x(0.00278787878787878 - 0.00235294117647058) = 3
x0.0004349376114082 = 3
x = 3 / 0.0004349376114082
x = 6,897.54 pulas
Therefore, you would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.
Write an equation of the parabola shown.
Answer:
y = 0.1(x + 5)² + 1.5
Step-by-step explanation:
Equation of a parabola having vertex at (h, k) is given by,
y = a(x - h)² + k
From the given graph, vertex of the parabola is (-5, 1.5)
Therefore, equation of the parabola will be,
y = a(x + 5)² + 1.5
Since, this parabola passes through a point (0, 4)
4 = a(0 + 5)² + 1.5
4 = 25a + 1.5
25a = 2.5
a = 0.1
By substituting the value of 'a' in the equation of the parabola,
y = 0.1(x + 5)² + 1.5
what is
6 over 9
and
11 over 88
Answer:
6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125
P.S. Dont fall for those link scams! ;)
Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D
Mitchell earns $40 for mowing the lawn. He spends $5 on ice cream and $15 on a book. Write an equation for how much money Mitchell has left.
ASAP ill give brainliest
A software engineer creates a LAN game where an 8 digit code made up of 1,2,3,4,5,6,7,8 has to be decided on, universal code . There is a condition that each number has to be used a and no number can be repeated . What is the probability that first 4 digits of the code are even numbers ?
Answer:
0.0143 = 1.43% probability that first 4 digits of the code are even numbers.
Step-by-step explanation:
Arrangements of n elements:
The number of possible arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
Probability:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Desired outcomes:
First four digits are even(2, 4, 6 and 8 are even, so arrangements of 4 elements).
Last four digits are odd(1, 3, 5 and 7 are odd, so the last four elements are also arrangements of 4 elements). So
[tex]D = 4!*4! = 24*24 = 576[/tex]
Total outcomes:
Arrangements of 8 digits. So
[tex]T = A_{8} = 8! = 40320[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{576}{40320} = 0.0143[/tex]
0.0143 = 1.43% probability that first 4 digits of the code are even numbers.
NEED ANSWER QUICK!!
In the diagram, the measure of angle 3 is 89°, and the measure of angle 6 is 88°.
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 4?
88°
89°
91°
92°
9514 1404 393
Answer:
(c) 91°
Step-by-step explanation:
Based on your description, it appears that angles 3 and 4 form a linear pair. This means angle 4 is the supplement to angle 3:
angle 4 = 180° -89°
angle 4 = 91°
Answer:
91°
Step-by-step explanation:
What is the angle of Z?
Answer:
Angle Z is 33.
Step-by-step explanation:
Angle Z is also 33. X and Z are equivalent angle therefore it has to be 33 as well.
Need help QUICKLYY ———————————————————
Answer: a. g(x) = 3^x + 2 b. y = 3 c. same graph but shifted two units up
Step-by-step explanation:
Tom sold half of his comic books and then bought 8 more. He now has
18. How many did he begin with?
Answer:
20
Step-by-step explanation:
18 - 8 = 10
10 x 2 = 20
check:
20 divided by 2 = 10
10 + 8 = 18
answer: 20
2
The coordinates of the three
vertices of square ABCD are
A(-3,5), B(1,7), and C(3,3). What
are the coordinates of vertex D?
>
a) (-4,2)
go to station 1
b) (-2,1)
go to station 5
c) (-1,1)
go to station 6
d) (-4,-2)
go to station 3
Answer
C)(-1,1)
Step-by-step explanation:
Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at
a point that is a distance of 5 units from the -axis and 3 units from the -axis.
Jeffrey places a treasure at point J, and Garrett places one at point G.
Who put the treasure in the right place?
A Garret, he put the treasure at (3, 5)
B Jeffery, he put the treasure at (5, 3)
C Garret, he put the treasure at (5, 3)
D Not here
Answer:
Step-by-step explanation:
convertir 5000 cm a km
Answer:
0.05 kilometer is the answer
Step-by-step explanation:
hope this answer may help you
Change 79/3 into a mixed number
Answer:
26 1/3
Step-by-step explanation:
I simplfied 79/3 on paper :)
1. Laura buys a pack of 24 blueberry muffins that has a total
of 1,536 calories. What is her calorie intake, if she ate 3
muffins for breakfast?
Answer:
192
Step-by-step explanation:
you have divide 24 by 3 and once you get that you get 8 then you do the amount of calories divide by 8
Which of these describes information that can appear in a consumer 's credit report?
A. The Name Of A Store Where The Consumer pays for all purchases
B. The Name Of A Company That Gave The Consumer A Car Loan 2 Years Ago
C. The Amount Of Money The Consumer Will Need Too Borrow In The Next 5 Years
D. The Amount That The Consumer Loaned To A Family Member
Answer:
b the car loan .................
Dan enlarged the size of a rectangle to a height of 22.4 in. What is the new width of the rectangle if it was originally 5.6 in tall and 1.4 in wide
Answer:
The new width is 5.6 in
Step-by-step explanation:
Given
New
[tex]H_2 = 22.4[/tex]
Old
[tex]H_1 = 5.6[/tex]
[tex]W_1 = 1.4[/tex]
Required
The new width
This is calculated using the following equivalent ratio
[tex]H_2 : W_2 = H_1 : W_1[/tex]
[tex]22.4 : W_2 = 5.6 : 1.4[/tex]
Express as fraction
[tex]W_2/22.4 = 1.4/5.6[/tex]
Multiply both sides by 22.4
[tex]W_2= 1.4/5.6 * 22.4[/tex]
[tex]W_2= 5.6[/tex]
What are the steps I need to solve this problem? 2x + 5 = 21
Step-by-step explanation:
subtract 5 under itself and 21 , then cross out the 5 and only subtract 21 and 5 which is 16 and then bring down 2x so now your equation will be 2x=5 so now your gonna divide 2 and 5
The diameter of a circle is 10 m. Find its area to the nearest tenth.
Answer:
78.54 m^2
Step-by-step explanation:
The computation of the area of the circle is shown below:
As we know that
Area of the circle = πr^2
Also
Diameter = 2r
10 = 2r
r = 5
So, the area of the circle is
= 3.14 × 5^2
= 78.54 m^2
Solve the system below using linear combination. 2x – 7y = -7 3x + 8y = 45 i need a step by step explanation please
Answer:
the Value of y=3 and x=5or 4.5
ANSWER ONE OF THESE FAST PLEASE!!!
Answer:
x7
Step-by-step explanation:
30 POINTS FOR JUST ONE QUESTION :)
Answer:
maybe its a or c
Step-by-step explanation:
Answer:
D) 14,400
Step-by-step explanation:
trust me
Find the circumference of a button if its radius is 15 mm
Answer:
94.25mm
........................
Answer:
94.25 mm
Step-by-step explanation:
The circumfrence of a cirlce can be found using the following formula:
C = 2 x PI x R
Circumfrence = 2 x 3.14 x 15
= 94.25
10. Ayden travels from Orlando to Tampa to see his grandparents. If the trip is 897,600 feet round trip, how many miles does Ayden travel one way? A 85 miles B 170 miles C 255 miles D 340 miles 11. Jason bought 4.5 kilograms of cream me of cream?
Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image to find the answer
10000 n
4000 n
24000 n
2700 n
Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough
It
Step-by-step explanation:
Answer:
10,000 i think....i hope this helps
Step-by-step explanation:
Which of these is the most reasonable estimate for the amount of water that fills a glass? A. 500 L
B. 500 mL
C. 5 L
D. 5 mL
E. 50 L
the actual weights of bags of pet food are normally distributed about the mean of 50.0 lb with a standard deviation of 0.2 lb.
1. About what percentage of bags of pet food weigh between 49.8 lb and 50.2 lb?
2. About what percentage of bags weigh less than 49.8 lb?
3. In a group of 250 bags, what percentage of bags would you expect to weigh more than 50.4?
9514 1404 393
Answer:
68%16%2.5%Step-by-step explanation:
1. The empirical rule tells you 68% of the distribution is within 1 standard deviation of the mean. The mean is 50 and the standard deviation is 0.2, so this means 68% of the bags weigh between 49.8 and 50.2 lb.
__
2. The other 32% is evenly split above and below the central part of the distribution. That is, about 16% of the bags will weigh less than 49.8 lb.
__
3. The percentage is independent of the size of the group. The empirical rule tells you 95% lie within 2 standard deviations of the mean. The other 5% will be evenly split between those weighing more than 50.4 and those weighing less than 49.6 lb. About 2.5% of the bags will weigh more than 50.4 lb.
_____
Additional comment
It is useful to remember the empirical rule numbers, 68%, 95%, 99.7% for the portion of the distribution between ±1, 2, 3 standard deviations of the mean. They are useful for answering questions like this one. (They are only approximations, so if more accuracy is needed, a table or app should be used to find the accurate value.)
What is a negative number minus a negative number?
Answer:
[tex]-x-(-y) = y-x[/tex]
Step-by-step explanation:
lets say you have two negative numbers, -x and -y (x and y are positive).
[tex]-x-(-y) = y-x[/tex]
Your answer is a positive number.
Helppppppppppppppppp
Answer:the second one
Step-by-step explanation:
anwser c
step-by-step explenation
An airplane is observed to be approaching the air point. It is at a distance of 12 km from the point of observation and makes an
angle of elevation of 50 degree. Find the height above the ground.
Answer:
The height is 14.3 km
Step-by-step explanation:
Given
[tex]distance= 12km[/tex]
[tex]\theta= 50[/tex] --- angle of elevation
Required
Determine the height above the ground
The question is illustrated using the attached image.
To calculate the required height, we make use of:
[tex]tan(\theta) = \frac{AB}{BC}[/tex]
Where AB represents the height and BC, the distance.
So:
[tex]tan(50) = \frac{AB}{12}[/tex]
Make AB the subject
[tex]AB = 12 * tan(50)[/tex]
[tex]AB = 12 * 1.1918[/tex]
[tex]AB = 14.3016[/tex]
[tex]AB = 14.3km[/tex] --- approximated
The height of the airplane above the ground is 9.19 km.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the airplane above the ground. Hence:
sin(50) = h / 12
h = 9.19 km
The height of the airplane above the ground is 9.19 km.
Find out more on Trigonometric ratio at: https://brainly.com/question/1201366
need help understanding this question
Answer:
-9<x≤2
Step-by-step explanation:
The domain is the x values
If we look at the line, we see a closed circle when x=2, so x is less than or equal to 2
The other circle is open and is at -9, so x is greater than -9
-9<x≤2
Lemme know if u need more explanation!
Liam is setting up folding chairs for a meeting. If he arranges the ch
same length, he has 9 chairs left over. If he arranges the chairs in 2 rows of that same
length, he has 21 left over. How many chairs does Liam have?
Liam has
chairs.
Answer:
Step-by-step explanation:
This is the answer