Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
Answer:
25-60+36
Step-by-step explanation:
4 times 2= 8. so, 4times k2 = k8. To understand this better, imagine that k equaled 2. That would make the expression above = (2x2)4, which would equal 16. However, since we don't know the value of k, we have to use the numbers that we already have, It would be like solving the expression: (2x2)4 without multiplying the first 2. It would then be 2x8. So, we just simplified it, we didn't solve it.
Answer:
4c + 4c + 16c + 90 = 360
Add the like terms
24c + 90 = 360
Subtract 90 when taking it to the other side of the equal
24c = 270
Divide 270 by 24 to get ur answer.
c = 11.25
Step-by-step explanation:
So the general formula for compound interest is 
where t is typically time in years, and n is how many times it's compounded per year. But in this case it's only compounded 1 time per year so the equation is just 
. in this case P is the principal amount, r is the interest, and A is the final amount. So the 5% interest rate becomes 0.05 by dividing by 100 to convert it into decimal form and the principle amount of 11,000. This gives you the formula 
. This is the answer to the first question where t is the time in years. When it says "Find interest earned" I'm a bit confused, is it giving you x amount of years where you have to calculate the interest earned or does it want a general equation? Because the general equation would be the final amount - the principle amount which calculates the difference. So the equation for interest earned would be 
. To calculate the amount of money after 5 years you simply plug in 5 as t. this gives you the equation 
