Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Interest 2.5% per annum Shares account Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account. (a) Work out who will get the most interest by the end of 3 years. You must show all your working.
Answer: Ben will have the most interest.
Step-by-step explanation:
Ali after 3 years.
To use compound interest, the formula is:
= Investment * ( 1 + rate) ^ no. of periods
= 2,000 * ( 1 + 2.5%)³
= £2,153.78
Interest = Amount after 3 years - investment
= 2,153.78 - 2,000
= £153.78
Ben after 3 years.
= 1,600 * (1 + 3.5%)³
= £1,773.95
Interest = 1,773.93 - 1,600
= £173.93
PLS HELP QUICK!!
Simplify. 5^-1 (3^-2)
a. 45
b. 1/45
c. 15^-3
d. 15^2
Answer:
option B: 1/45
Step-by-step explanation:
option B isthe correct answer of this question.
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hope this will be helpful to you.
Step-by-step explanation:
hope this will help you.
If 8 model airplanes cost $24, what is the unit price of the model airplanes? The unit price of the model airplane.
Answer:
3 dollars per airplane
Step-by-step explanation:
24/8 is 3, where 8 is airplanes and 24 is cost in total
Emily made $12.50 selling lemonade for 2 hours. At that rate, how long would she have to sell lemonade to eam $100?
O 16 hours
O 8 hours
O 625 hours
O 4 hours
Answer: 16 hours
Step-by-step explanation:
I need help plz
Find x and y
(45-45-90 formula)
i think itss this 45 45 90 triangle ratio
In a 45 45 90 triangle, the ratios are equal to: 1 : 1 : 2 for angles (45° : 45° : 90°) 1 : 1 : √2 for sides (a : a : a√2)Jun 26, 2020
Over here, we have a 45-45-90 special right triangle.
According to base angle theorem converse, this triangle is a congruent triangle so x = 14.
In a 45-45-90 triangle, the hypotenuse is the leg multiplied by [tex]\sqrt{2}[/tex]
So it would be:
14[tex]\sqrt{2\\}[/tex]
Hope this helps, let me know if you have any questions since it wasn't the best explanation.
Find the simple interest on 3,750 in 5 years at 3% rate per annum.
Answer:
562.5
Step-by-step explanation:
i=?
p=3750
r=3*1/100=3/100
t=5 years
I=P*R*T
3750*5*3/100
=5625/100
=562.5
You deposit $500 in an account that earns 6.5% annual interest compounded yearly. Write a function that represents the balance y (in dollars) after x years.
Answer:
f(x)=.65+y
Step-by-step explanation:
.
The function for compound interest is A = 500 ( 1.065 )ˣ
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the compound interest amount be represented as A
Now , the interest rate r = 6.5 %
The number of times the interest is applied = yearly
The principal amount P = $ 500
n = 1 ( compounded yearly )
t = x ( number of years )
So, the function that represents the balance y (in dollars) after x years is:
y ( x ) = 500 ( 1 + 0.065/1 )ˣ
On simplifying , we get
y ( x ) = 500 ( 1.065 )ˣ
Hence , the function is A = 500 ( 1.065 )ˣ
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In class 10 out of 25 students ride the bus.what percent of students ride the bus?
Answer:
40%
Step-by-step explanation:
it's easiest to get a percentage from 100, multiplying 25 by 4 gives you 100 so if you do that then multiply 10 by four to make the equation even that will give you the answer
There are 99 males and 121 females participating in a marathon. What percent of the participants are female?
To do this, we first want to see how many participants there are in total by adding both males and females.
[tex]99+121=220[/tex]
Now we know that there were 220 total participants, but only 121 were females.
This allows us to set up the fraction 121/220= the percent female.
[tex]\frac{121}{220} =0.55[/tex]
or 55%
The regular price of a camera is 180.00 the camera is on sale for 25% off the regular price. What is the sales price of the camera in dollars and cents
Answer:
$135
Step-by-step explanation:
180 decrease 25% =
180 × (1 - 25%) = 180 × (1 - 0.25) = 135
Suppose that the height H of a Ferris wheel can be modeled by the function H(A=-16cos(pi t/45)+24 where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for pi
Answer:
Step-by-step explanation:
Range of cosine is -1 to 1
Range of height is 8 to 40
A 3-column table with 6 rows. Column 1 is labeled Number Rolled with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Observed Frequency with entries 10, 12, 10, 10, 8, 10. Column 3 is labeled Relative frequency with entries StartFraction 1 over 6 EndFraction, A, StartFraction 1 over 6 EndFraction, StartFraction 1 over 6 EndFraction, B, StartFraction 1 over 6 EndFraction.
A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table.
A =
B =
Answer:
A = 1/5
B = 2/15
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Step-by-step explanation:
Answer:
A = 1/5
B = 2/15
Step-by-step explanation:
The price of an item has been reduced by 95% the original price was 87$
Answer:
Your answer
Price after reducing is 4.35$
Mark it as Brainlist. Follow me for more answer.
Step-by-step explanation:
Help plsssssssssssssss???
Answer:
output
-4
-2
0
Step-by-step explanation:
at x = -4 , y= -4
x = 1, y = -2
x = 2, y = 0
find the unknown Angles in the given figure
Answer:
x = 50°, y = 50°
Step-by-step explanation:
⇒ x + x + 80° = 180°
⇒ 2x = 180° - 80° = 100°
⇒ x = 100°/2 = 50° ∴ y = x = 50°
The hypotenuse of a right triangle measures 15 cm and one of its legs
measures 5 cm. Find the measure of the other leg. If necessary, round to the
nearest tenth.
Answer:
[see below]
Step-by-step explanation:
Use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
'c' will be the hypotenuse.
The hypotenuse is 15 cm. One of the legs is 5 cm.
[tex]5^2+b^2=15^2\\\\25 + b^2 = 225\\\\25-25+b^2=225-25\\\\b^2=200\\\\\sqrt{b^2}=\sqrt{200}\\\\ b=14.1421356237..., -14.1421356237[/tex]
14.1421356237 ≈ 14.1
The other leg should be about 14.1 cm.
Hope this helps.
The length of the other leg is 14.14 cm rounded to two decimal places.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, The hypotenuse of a right triangle measures 15 cm, and one of its legs measures 5 cm.
We know,
Hypotenuse² = Base² + Adjacent².
Therefore,
15² = 5² + Adjacent².
Adjacent = √(225 - 25).
Adjacent = √200.
Adjacent = 14.14.
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What’s the radius of a circle with the circumference of 37.68 feet
Answer:
r≈6ft
Step-by-step explanation:
Using the formula
C=2πr
Solving forr
r=C
2π=37.68
2·π≈5.99696ft
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look at the picture please help.
Answer:
Under 1: $3.25
Under 3: $9.75
Under 5: $16.25
Cost for 15 pounds = $48.75
Answer:
1 pound= $3.25
3 pounds=$9.75
5 pounds=$16.25
15 pounds =$48.75
Step-by-step explanation:
1x3.25=3.25
3x3.25=9.75
5x3.25=16.25
15x3.25=48.75
Today, everything at a store is on sale. The store offers a 20% discount. B. If the regular price of an item is x dollars, what is the discount price in dollars?
i need answers!!!!!
Answer:
Step-by-step explanation:
Your answer
Regular price = x
Discount price =0.2x
Price = x- 0.2x = 0.8x $
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Find the sum. Write the sum as a mixed number, so the fractional part is less than 1. Number 3. 2 2/3 + 3 2/3 number 5. 9 3/6 + 2 2/6 number 7. 4 3/8 + 1 5/8
Answer:
See explanations below
Step-by-step explanation:
1)2 2/3 + 3 2/3
Convert to improper fraction
= 8/3 + 11/3
= (8+11)/3
= 19/3
= 6 1/3
hence the sum as mixed fraction is 6 1/3
2) 9 3/6 + 2 2/6
= 57/6 + 14/6
= (57+14)/6
= 71/6
= 11 5/6
Hence the value as a mixed fraction is 11 5/6
3) 4 3/8 + 1 5/8
= 35/8 + 13/8
= (35+13)/8
= 48/8
= 6
Hence the value is 6
Brendan has $65 worth of balloons and flowers delivered to his mother. He pays the bill plus an 8.5% sales tax and an 18% tip on the total cost
including tax. He also pays a $10 delivery fee that is charged after the tax and tip. How much change does he receive it he pays with two $50
bills ? Round to the nearest cent
Answer:
6.77
Step-by-step explanation:
Answer:
Step-by-step explanation:
I need the point and the slope Y-5=1/2(x+3)
Answer: Slope: 1/2 Point: (0, 3/2)
Step-by-step explanation:
Determine whether these triangles are similar. If so, circle the appropriate reason below. Please show all work.
Answer:
Yes these triangles ate similar.
Step-by-step explanation:
The two triangles are similar if their third angle is equal. The sum of all angles of triangles must be equal to 180 degrees. The triangle 1 has sum of 180 degrees and triangle 2 has sum of 180 degrees. These triangles have third angle same which is 45 degrees.
Aşağıdaki parçaların hangisinde öyküleyici bir anlatım vardır
A)Kitap; noktalama işaretleri ile ilgili çeşitli tespitlere tespitlerden sorunlara sorunlardan çözümlere çö-
9.SINIF SALLAMAYIN DEVAMI FOTODA
Answer:
I would love to help, Could you put the question in EnglisStep-by-step explanation
PLS HELP!!
Which expressions simplify to a rational answer?
Select each correct answer.
An escalator 152 feet in length rises to a platform and makes a 31° angle with the ground. Find the height of the
platform above the ground.
Answer:
78.3 or 78.29
Step-by-step explanation:
We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.
Opposite/Hypotenuse
We use this equation
[tex] \sin(theta) = \frac{opp}{hypo} [/tex]
Plug in the values
[tex] \sin(31) = \frac{x}{152} [/tex]
Which is about 78.29
(2, 0); y > x – 5
y < 2x + 1
Y <-X + 3
tell whether the ordered pair is a solution of the system of linear inequalities
Answer:
ang hirap pag aralan mo po muna
How to graph this???
Answer:
you cant see the full picture.
Step-by-step explanation:
Joe determined the mass of 2 boxes using a scale. Since the cost of each box is the same, Joe would like to choose the box with the larger mass. Box A Box B 32.012 kg 32.02 kg Place the correct symbol between the 2 masses to help Joe decide. 32.012 Response area 32.02
Answer:
32.012 kg < 32.02 kg
Step-by-step explanation:
32.012 kg < 32.02 kg
Write a rule for the linear function shown in the graph.
y = 4x – 3
y = –x + 4
y = 2x + 5
y = 1/4x +1
Answer: Answer is A. y = 4x - 3
Graph the line using the slope and y-intercept, or two points.
Slope: 2/ 5
y-intercept: ( 0 , − 1 )
x y
0 − 1
5/ 2 0
Step-by-step explanation:
How do you graph y=4x-3?
In graphing an equation, a very valuable graphing technique is the ability to recognize the kind of graph that a certain type of equation produces.
Any equation that is of the form y = mx + b is in the "slope-intercept" form for the equation of a straight line, where x and y are variables, where “m” is a real number representing the slope of a line, and where “b” is a real number representing the y-intercept of a line , i.e., the y-coordinate of the point of intersection between a straight-line graph and the y-axis.
Since the given equation y = 4x ‒ 3 is in the slope-intercept form, where m = 4 and b = ‒3, then it’s a linear equation and its graph is a straight line. Also, looking at the given equation, we know that the independent variable x can take on any real number as a replacement.
Now that we know that the graph of the given equation is a straight line and that there are no restrictions on the variable x, we need to determine and then draw the straight-line graph on a Cartesian (rectangular) coordinate system with the y-axis as the vertical axis and the x-axis as the horizontal axis. We know that two points determine a straight line; So, all we need to do is find the point where the straight-line graph of the given equation y = 4x ‒ 3 intersects the x-axis, i.e., the point of the x-intercept, and find the point where the straight-line graph of y = 4x ‒3 intersects the y-axis, i.e., the point of the y-intercept. Also, it would be a good idea to plot a third point as a check.
(1.) Determining the point of the x-intercept:
For any point on the x-axis, the y-coordinate is zero; therefore, in our given equation, let y = 0 and solve for x as follows:
y = 4x ‒3
0 = 4x ‒3
0 + 3 = 4x ‒3 + 3
(1/4)(4x) = (1/4)(3)
x = 3/4
Therefore, the x-intercept is x = 3/4, and the graph of the given equation y = 4x ‒3 intersects the x-axis at the point (3/4, 0).
(2.) Determining the point of the y-intercept:
To get the y-intercept, we can simply select it from the given equation y = 4x ‒3 which is already in slope-intercept form (y = mx + b), i.e., y = 4x ‒3 or y = 4x + (‒3); therefore, the y-intercept of the straight-line graph of the given equation is y = b = ‒3, which is the y-coordinate of the point of intersection between the straight-line graph of the given equation and the y-axis. Also, for any point on the y-axis, the x-coordinate is zero; therefore, the straight-line graph of the given equation intersects the y-axis at the point (0, ‒3).
(3.) Check Point
In generating a third point as a check point, choose a convenient value for x so that the corresponding value for the dependent variable y is nice and even. Let x = 2, then:
y = 4x ‒3
= 4(2)‒ 3
= 8 ‒ 3
y = 5
Consequently, the third point (check point) on the straight-line graph of the given equation is (2, 5).
(4.) Plot the points
Now, create the straight-line graph of the given equation by plotting the three points: (3/4, 0), (0, ‒3), and (2, 5) on a Cartesian (rectangular) coordinate system, and then use a straight edge to draw the straight line through all three plotted points. Draw the line past the two outer points and then draw an arrowhead at each “end” of the line to show that the line goes on indefinitely in both directions. NOTE: If the third point (2, 5)(the check point) is not on the drawn line, then go back and look for an error. The error was either made in finding the x- and y-intercepts, or the error was made in generating the coordinates of the check point, or both. When the error is found, make the appropriate correction(s), and then redraw the graph (straight line) of the given equation.
These are four steps that you can use to graph the given equation y = 4x ‒3 or any equation that is in the slope-intercept form for the equation of a straight line: y = mx + b.
