Decrease 2,000 by 20%
To decrease 2,000 by 20%, we need to multiply 2,000 by 0.2 (which is 20% written as a decimal) and then subtract the result from 2,000.
2,000 - (0.2 x 2,000) = 2,000 - 400 = 1,600
So decreasing 2,000 by 20% results in 1,600.
Find the rate percent which will yeild simple interest of 25 naira or 200 naira for 2 and 1/2 year
Let's start with the first scenario:
To find the rate percent that will yield a simple interest of 25 naira for 2 and 1/2 years, we need to use the formula for simple interest:
I = P * R * T
where:
I = interest
P = principal (the amount borrowed or invested)
R = rate of interest (as a decimal)
T = time (in years)
In this case, we know that:
I = 25 Naira
P = unknown
R = unknown
T = 2.5 years
Substituting these values into the formula, we get:
25 = P * R * 2.5
To find R, we need to isolate it on one side of the equation by dividing both sides by (P * T):
R = 25 / (P * 2.5)
We do not have enough information to determine the actual value of P (the principal) for this scenario. Therefore, we cannot calculate the rate of interest directly.
For the second scenario:
To find the rate percent that will yield a simple interest of 200 naira for 2 and 1/2 years, we use the same formula for simple interest:
I = P * R * T
where:
I = 200 Naira
P = unknown
R = unknown
T = 2.5 years
Substituting these values into the formula, we get:
200 = P * R * 2.5
To find R, we need to isolate it on one side of the equation by dividing both sides by (P * T):
R = 200 / (P * 2.5)
We do not have enough information to determine the actual value of P (the principal) for this scenario. Therefore, we cannot calculate the rate of interest directly.
Without knowing the principals for the two scenarios, we cannot calculate the rate percent that will yield the simple interest.
Find the rate percent which will yeild simple interest of 25 naira on 200 naira for 2 and 1/2 year
To find the rate percent that will yield a simple interest of 25 Naira on 200 Naira for 2 and 1/2 years, we can use the formula for simple interest:
I = P * R * T
where:
I = interest (25 Naira)
P = principal (200 Naira)
R = rate of interest (as a decimal, to be found)
T = time (in years, 2.5 years)
Substituting these values into the formula, we get:
25 = 200 * R * 2.5
To find R, we need to isolate it on one side of the equation by dividing both sides by (200 * 2.5):
R = 25 / (200 * 2.5)
R = 0.05
Therefore, the rate percent that will yield a simple interest of 25 Naira on 200 Naira for 2 and 1/2 years is 5% (since 0.05 is equal to 5% as a percentage).
Find the difference between 13⅖ and 2⅓
To find the difference between 13⅖ and 2⅓, we need to convert both mixed numbers into improper fractions and then subtract the second fraction from the first.
13⅖ can be converted to an improper fraction as:
13⅖ = (5x13+2)/5 = 67/5
2⅓ can be converted to an improper fraction as:
2⅓ = (3x2+1)/3 = 7/3
Now, we can subtract 2⅓ from 13⅖
67/5 - 7/3 = (67x3)/(5x3) - (7x5)/(3x5)
= 201/15 - 35/15
= 166/15
Therefore, the difference between 13⅖ and 2⅓ is equal to 166/15. We can also convert it back to a mixed number if required:
166/15 = 11 and 1/15
So, the difference is 11 and 1/15.
The perimeter of a room is 24 cm, if it's length is 8 cm. find its area
Let's start by using the formula for the perimeter of a rectangle:
P = 2L + 2W
where P is the perimeter, L is the length, and W is the width.
We know that the perimeter is 24 cm and the length is 8 cm, so we can substitute these values into the formula and solve for W:
24 = 2(8) + 2W
24 = 16 + 2W
8 = 2W
W = 4
We have found that the width of the room is 4 cm. Now, we can use the formula for the area of a rectangle to find the area:
A = L x W
A = 8 x 4
A = 32
Therefore, the area of the room is 32 square centimeters.
What is the smallest number which has 6, 8 ,12 as factors?
To find the smallest number which has 6, 8, and 12 as factors, we need to find the least common multiple (LCM) of these three numbers.
First, let's list the multiples of each factor:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, ...
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, ...
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...
We can see that the first number that appears in all three lists is 24. Therefore, 24 is the smallest number which has 6, 8, and 12 as factors.
Alternatively, we can find the LCM by multiplying the prime factors of each number raised to their highest power:
6 = 2 x 3
8 = 2 x 2 x 2
12 = 2 x 2 x 3
The highest power of 2 is 2³, and the highest power of 3 is 3, so the LCM is 2³ x 3 = 24.
Either way, we get the answer that the smallest number which has 6, 8, and 12 as factors is 24.
Express 3105 cm in metres
To express 3105 cm in meters, we need to divide it by 100 (since there are 100 centimeters in a meter) or move the decimal point two places to the left.
3105 cm ÷ 100 = 31.05 m
Therefore, 3105 cm is equal to 31.05 meters.
Is 2t - 37 = 103 what is t?
To solve the equation 2t - 37 = 103 and find the value of t, we can isolate t on one side of the equation by adding 37 to both sides and then dividing by 2:
2t - 37 = 103
2t = 103 + 37
2t = 140
t = 70
Therefore, the solution to the equation 2t - 37 = 103 is t = 70.
Jason brought a bag of Garri for 320 naira and sold it for 400 naira what was the percentage gain?
The initial cost (or the cost price) of the bag of Garri is 320 naira, and the selling price is 400 naira. The gain is the difference between the selling price and the cost price.
Gain = Selling price - Cost price
Gain = 400 - 320
Gain = 80
To calculate the percentage gain, we need to divide the gain by the cost price and multiply by 100:
Percentage gain = Gain / Cost price × 100%
Percentage gain = 80 / 320 × 100%
Percentage gain = 0.25 × 100%
Percentage gain = 25%
Therefore, the percentage gain is 25%.
The area of a circle is 154 cm² calculate radius (take 22/7 as π )
The formula for the area of a circle is A = πr², where A is the area and r is the radius.
We are given that the area of the circle is 154 cm², so we can set up the equation:
A = πr²
154 = 22/7 × r²
Now, we can solve for r by dividing both sides by (22/7) and then taking the square root of both sides:
154 ÷ (22/7) = r²
r² = 49
r = √49
r = 7
Therefore, the radius of the circle is 7 cm.
Express 315 as a percentage of 420
To express 315 as a percentage of 420, we can use the formula:
percentage = (part/whole) × 100%
In this case, 315 is the part and 420 is the whole. So, we can substitute these values into the formula and solve for the percentage:
percentage = (315/420) × 100%
percentage = 0.75 × 100%
percentage = 75%
Therefore, 315 is 75% of 420.
The three angles of a triangle are in the ratio of 1:2:3 calculate the size of the smallest.
Let's assume that the three angles of the triangle are x, 2x, and 3x, since these angles are in the ratio of 1:2:3.
The sum of the angles of a triangle is always 180 degrees, so we can set up an equation:
x + 2x + 3x = 180
Now, we can solve for x:
6x = 180
x = 30
Therefore, the smallest angle of the triangle is x, which is equal to 30 degrees.
Calculate diameter of a circle whose circumference is 77 cm (take π as 22/7)
The formula for the circumference of a circle is C = πd, where C is the circumference, d is the diameter, and π is the mathematical constant pi.
We are given that the circumference is 77 cm, and π is given as 22/7. So, we can substitute these values into the formula and solve for the diameter:
C = πd
77 = (22/7)d
Now, we can solve for d by multiplying both sides by 7/22:
77 × 7/22 = d
24.5 = d
Therefore, the diameter of the circle is 24.5 cm (rounded to one decimal place).
A man travels a distance of 84 km in 1 hour 20 minutes find its average speed
The total time taken to travel the distance of 84 km is 1 hour 20 minutes.
1 hour 20 minutes can be converted into hours by dividing by 60:
1 hour 20 minutes = 1 + 20/60 = 1.33 hours
Now we can calculate the average speed as the distance traveled divided by the time taken:
Average speed = Distance / Time
Average speed = 84 km / 1.33 hours
Average speed = 63.16 km/h (rounded to two decimal places)
Therefore, the average speed of the man is 63.16 km/h.