Ireally need !
1. checking account earnings at long's bank are expressed by the equation, i = -0.06x + 8.3
the earnings at fellow's bank are modeled by i = -0.02x+6.6
in both cases, x is the number of checks written.
for what range of checks will a checking account at long's bank generate more earnings income than one at fellow's bank? show your work or explain how you got your answer.
2. a bank advertises an apr of 5.5% on personal loans. how much more is the apy when the rate is compounded monthly as compared to when it's compounded quarterly? explain your answer.

Earning at Long's Bank are expressed by the equation, I = -0.06 x + 8.3

Earnings at Fellow's Bank are modeled by I = -0.02 x+6.6

Where,x is the number of checks written.

now, we have to find that , at what range of checks will a checking account at Long's Bank generate more earnings income than one at Fellow's Bank.

-0.06 x +8.3 > -0.02 x +6.6

-0.02 x+0.06 x < 8.3 - 6.6

0.04 x < 1.7

Dividing both sides by , 0.04, we get

x< 42.5

So, x ∈[0,42], which is number of checks written.

2.  APR on personal Loans =5.5%

Value of APR when compounded monthly

=0.46 (approx)

Value of APR when compounded Quarterly

= 1.84 (approx)

Difference between Rate , when the APR rate is compounded monthly as compared to when it's compounded quarterly

=1.84 - 0.46

=1.38 (approx)

Quarterly APR is 1.38 value more than Monthly APR, when the rate of Yearly  APR is 5.5%.

stops on an even number.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it