Solve for x 21x+6help please ?
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Answer:
25
Step-by-step explanation:
So consecutive integers, just means they're separated by a value of 1. This can be generally expressed as "a, a+1" where these two values would be consecutive integers assuming "a" is an integer.
So let's express Hassan's age as the variable "x", since it's unknown. Since Cameron is older, and by definition of a consecutive integer, Cameron's can be expressed as "x+1"
So the equation we need to set up is Cameron's age + 5(Hassan's age) = 145
So we can substitute the variables we defined to express Cameron and Hassan's age:
Distribute the 5:
Add like terms:
Subtract 1 from both sides:
Divide both sides by 6:
Since we used "x" to represent Hassan's age, Hassan's age is 24. Since we used "x+1" to represent Cameron's age, Cameron's age is "24+1" which is just 25
The annual rate of interest per year is 8%
<u>Solution:</u>
Given:- Principal (p) = 4600 rupees, Time –Period (t) = 5 years, Total amount(A) = 6440 rupees
First we will calculate the Interest and then using formula of simple interest we will calculate the rate of interest
Interest = Amount – Principal
Interest = 6440 – 4600 = 1840
Now using the formula of simple Interest and on putting values we get,
Where "P" is the principal and "R" is the rate of interest per annum and "T" is the time period
Hence, the required rate of interest per year is 8%