Chase has a $42,500 line of credit which charges an annual percentage rate of prime rate plus 5%. His starting balance on June 1 was $2,550. On June 4, he borrowed $5,300. On June 9, Chris made a payment of $800, and on June 17, he borrowed $5,600. If the current prime rate is 10%, what is his new balance?

12,766.83

Step-by-step explanation:

Total interest rate = 10%+5% = 15%

Daily rate = 15%/360 = 0.000417

Balance from June 1 to June 4th = 2550. Interest for this duration = 3 days*0.000417*2550 = 3.1875

Balance from June 4th to June 9th = 2550+5300 = 7850. Interest for this duration = 5 days*0.000417*7850 = 16.3541

Balance from June 9th to June 17th = 7850 - 800 = 7050. Interest for this duration = 8 days*0.000417*7050 = 23.5

Balance from June 17th to June 30th = 7050+5600 = 12650. Interest for this duration = 14 days*0.000417*12650 = 73.7916

Total interest = 3.1875+16.3541+23.5+73.7916 = 116.833

Thus new balance = 12,650+116.833

= 12,766.83

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15