Pete's dad usually deposits $25 into his bank account every week. for the next 8 weeks , he wants to deposit more than the usual $25, and he wants the extra amount deposited to be the same each week. which inequality and solution show how much more he can deposit each week and keep the total of his deposit above 500 for those 8 weeks? 8(25+x)> 500; x> $300
25+8x> 500; x> $59.37
8(25+x)> 500; x> 37.50
8(25)+x> 500; x> $300

Step-by-step explanation:

Given : For the next 8 weeks , he wants to deposit more than the usual $25.

To Find: He wants the extra amount deposited to be the same each week. which inequality and solution show how much more he can deposit each week and keep the total of his deposit above 500 for those 8 weeks.

Solution:

His usual deposit = $25

He wants the extra amount deposited to be the same each week.

Let x be the extra amount.

So, Amount need to be deposited per week = 25+x

Amount need to be deposited 8 weeks = 8(25+x)

Now we are given that he total of his deposit should be above 500.

So,

So, inequality :

Solution:  

Thus Option C is correct.

Hence , the inequality and solution which shows how much more he can deposit each week and keep the total of his deposit above 500 for those 8 weeks is

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.