The gross salary was increased twice during the year. First by 8%, then again by 10%.Its final amount was 10,098. Calculate the amount of the original gross salary.
Answers
Answer:
$8,500
Step-by-step explanation:
Let the original gross salary be "X" dollars.
First, it was increased by 8%, which can be calculated as 1.08 times the original salary:
1.08 * X
Then, this new amount was increased by 10%, which can be calculated as 1.10 times the previous amount:
1.10 * (1.08 * X)
The final amount is given as $10,098:
1.10 * 1.08 * X = 10,098
Now, solve for X:
1.188 * X = 10,098
Divide both sides by 1.188 to find X:
X = 10,098 / 1.188
X ≈ 8,500
So, the original gross salary was approximately $8,500.
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The tax rate as a percent, r, charged on an item can be determined using the formula 100( – 1) = r, where c is the final cost of the item and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied?
A proportional relationship is represented by the equation 2x = 18y. IF y = kx, where k is the constant of proportionality, find the value of k.
Answers
Answer: 25
Step-by-step explanation:
because its funnier than 24.
number?
Answers
Answer:
if you want it as dollars and cents it is $77.50 but in nearest whole number it would be 78 dollars
Step-by-step explanation:
step 1: multiply the 2 by 5 and you get 10%
step two: you put 10 over 100 and multiply 77,500
10/100 x 77,500/1= $77.50
but when you roung it off you get 78 dollars
Answer: joshua earned $403,313 over 5 years
Step-by-step explanation:
Work out the annual rate of simple interest.
Answers
Answer:
2.4%
Step-by-step explanation:
Simple interest (I) is calculated as
I =
where P is the principal, R the rate of interest and T time in years
Here I = 96, P = 800 and T = 5, thus
96 = =
= 40R ( divide both sides by 40 )
R = = 2.4%
√125 - √25 + √5
Answers
Answer: (6\sqrt{5})
Step-by-step explanation:
To simplify the expression (\sqrt{125} - \sqrt{25} + \sqrt{5}), we’ll start by simplifying each square root separately:
1. (\sqrt{125} = \sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5} = 5\sqrt{5}).
2. (\sqrt{25} = 5).
Now, substitute the simplified square roots back into the original expression:
[5\sqrt{5} - 5 + \sqrt{5}]
Now, combine the terms with (\sqrt{5}):
[5\sqrt{5} + \sqrt{5} = 6\sqrt{5}]
So, the simplified expression is (6\sqrt{5}).
20x + 25y = 345
How much more can Paul shovel in 1 minute than Melinda?
3 square feet per minute
6 square feet per minute
9 square feet per minute
15 square feet per minute
Answers
Answer: Hello mate!
we have the system of equations
30x + 30y = 450
20x + 25y = 345
where x is the number of square feet of snow that Melinda shovels in one minute, and y is the number of square feet of snow that Paul shovels in one minute.
Let's solve the system of equations, first, isolate one of the therms in the first equation, for example, x.
30x+30y = 450
x + y = 450/30 = 15
x = 15 - y
now we can replace it in the second equation and solve it for y.
20x + 25y = 345
20(15 - y) + 25y = 345
300 - 20y + 25y = 345
5y = 45
y = 45/5 = 9
Paul can shovel 9 square feets of snow in one minute, now replace it in the first equation and solve it for x.
x + y = 450/30 = 15
x + 9 = 15
x = 15 - 9 = 6
so melinda sholves 6 square feet of snow in one minute.
The question is:
How much more can Paul shovel in 1 minute than Melinda?
We need to see the difference y - x = 9 - 6 = 3
this means that paul shovels 3 more square feet per minute than Melinda.
Answers
So, say we want to find out what times 6 = 90. So instantly we want to find out the number of 6s that go into 90, because that is our answer.
So we do 90 divided by 6 we get 15.
So know we know that 15 6s fit into 9.
15 is our answer.