College increased the number of scholarships by 10% per year for each of the past two years. If 1815 scholarships will be offered this year, find the number offered two years ago.

The number of scholarships offered two years ago would be 1500 scholarships

Step-by-step explanation:

Let us assume the number of scholarships two years ago to be X.

A 10% increase in a value means that the original value was multiplied by 110%. An example is this, 10% of 50 = 5. So, a 10% increase in 50 gives the new number (50+5), which is 55. We could also obtain it by directly multiplying 50 by 110% (that is 100% + the 10% increase).

50 × 110% = 50 × = 55

So, back to the example that we are considering.

2 years ago: X scholarships

Last year at 10% increase per year will give: 110% × X = 1.1X

This year at another 10% increase, we have: 110% × 1.1X = 1.21X

Since we have been given the number of scholarships this year, we can equate it to 1.21X.

1.21X = 1815

X =

X = 1500

So, the number of scholarships offered two years ago was 1500

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.