Simplify,0.0245x12/0.08x1.75 leave your answer in standard form
First, simplify each fraction separately:
0.0245x12 = 0.294
0.08x1.75 = 0.14
Now, divide 0.294 by 0.14:
0.294 ÷ 0.14 = 2.1
Finally, write the answer in standard form by moving the decimal two places to the left:
2.1 = 2.1 x 10^-2
Therefore, the simplified form of 0.0245x12/0.08x1.75 in standard form is 2.1 x 10^-2.
What principal will amount to GHC 45000000.00 at a profit of 20%.how much did it cost him
Let P be the principal.
The amount A that the principal P will earn at a profit of 20% is given by:
A = P + 0.2P = 1.2P
We are given that the amount A is GHC 45000000.00, so we can set up the equation:
1.2P = GHC 45000000.00
Solving for P, we get:
P = GHC 37500000.00
Therefore, the principal was GHC 37500000.00.
To find how much it cost him, we need to subtract the profit from the amount:
Cost = A - P = GHC 45000000.00 - GHC 37500000.00 = GHC 7500000.00
Therefore, it cost him GHC 7500000.00.
1)What principal will amount of GHC116000.00 in 3years at a rate of 15% per annum. Simple interest?
2)A car dealer sold cars for GHC45000000.00 at a profit of 20%.How much did it cost him.
3)solve the equation 4a+1/2a-1=5/2
1) The simple interest formula is I = PRT, where I is the interest, P is the principal, R is the interest rate per year as a decimal, and T is the time in years. We can rearrange the formula to solve for P:
P = I / (RT)
Substituting the given values, we get:
P = 116000 / (0.15 x 3) = GHC 25777.78
Therefore, the principal is GHC 25777.78.
2) Let P be the cost price (or cost) of the cars.
The profit is 20% of the cost price, so we have:
Profit = 0.2P
The selling price (or amount) is the cost plus the profit, so we have:
Selling price = Cost + Profit = P + 0.2P = 1.2P
We are given that the selling price is GHC 45000000.00, so we can set up the equation:
1.2P = GHC 45000000.00
Solving for P, we get:
P = GHC 37500000.00
Therefore, it cost the dealer GHC 37500000.00.
3) To solve for a in the equation 4a + 1/2a - 1 = 5/2, we need to simplify the left side first:
4a + 1/2a - 1 = 5/2
Multiplying both sides by 2 to eliminate the fraction, we get:
8a + a - 2 = 5
Combining like terms, we get:
9a - 2 = 5
Adding 2 to both sides, we get:
9a = 7
Dividing both sides by 9, we get:
a = 7/9
Therefore, the solution to the equation is a = 7/9.
The candidate of A, B and C were voted into office as school prefect. A secured 45% of the votes, B had 33% of the vote and C had the rest of the votes. If C secured 1430 votes, calculate
i)the total number of votes cast.
ii)how many more votes A recieve than C
i) First, we can use C's vote count to find the percentage of votes C received:
100% - 45% - 33% = 22%
So C received 22% of the total votes.
We're given that C received 1430 votes, so we can set up the proportion:
22/100 = 1430/x
where x is the total number of votes cast.
Simplifying the proportion, we get:
22x = 143000
Dividing both sides by 22, we get:
x = 6500
Therefore, the total number of votes cast is 6500.
ii) Since A secured 45% of the votes and C secured the remaining 22%, we can find the difference in the number of votes they received by subtracting C's vote count from A's vote count:
45% - 22% = 23%
So A received 23% more votes than C.
To find this difference in votes, we can set up the proportion:
23/100 = y/1430
where y is the difference in votes between A and C.
Simplifying the proportion, we get:
0.23 = y/1430
Multiplying both sides by 1430, we get:
y = 0.23 x 1430 = 329.9
Therefore, A received 330 more votes than C.
In entrance exams, Michael scored 72% in English, 68% in mathematics and v% in home economics. If his mean mark in three subject was 65%.
Find v
To find v, we can use the formula for calculating the mean of three numbers:
Mean = (x + y + z) / 3
where x, y, and z are the scores in each subject. We know that Michael's mean mark is 65%, so we can write:
65 = (72 + 68 + v) / 3
Multiplying both sides by 3, we get:
195 = 72 + 68 + v
Simplifying, we get:
55 = v
Therefore, Michael scored 55% in home economics.
To simplify the expression (0.0245x12) / (0.08x1.75), we can follow these steps:
Step 1: Multiply the numerators (0.0245 x 12) = 0.294
Step 2: Multiply the denominators (0.08 x 1.75) = 0.14
Step 3: Divide the result of step 1 by the result of step 2: 0.294 / 0.14 = 2.1
To express the answer in standard form, we need to write it using scientific notation. In scientific notation, the number is written as a decimal coefficient multiplied by 10 raised to the power of an exponent.
To convert 2.1 into scientific notation, we can follow these steps:
Step 1: Move the decimal point to the right until you have a single non-zero digit to its left. In this case, no need to move the decimal point.
Step 2: Count the number of places the decimal point has been moved. Since it hasn't been moved, the exponent is 0.
Step 3: The coefficient is the number that remains if we remove the decimal point and any leading zeros. In this case, the coefficient is 2.1
Step 4: Combine the coefficient and the exponent to write the number in scientific notation. Therefore, 2.1 in standard form is written as 2.1 x 10^0.
Hence, the simplified expression is 2.1 x 10^0.