Amother earned $7500.00 from royalties on her cookbook. she set aside 20% of this for a down payment on a new home. the balance will be used for her son's future education. she invests a portion of the money in a bank certificate of deposit (cd account) that earns 4% and the remainder in a savings bond that earns 7%. if the total interest earned after one year is $360.00, how much money was invested at each rate?

$2000 was invested in cd at 4% and $4000 was invested in bonds at 7%.

Step-by-step explanation:

20% of 7500 = dollars

Balance remained = dollars

Let she invests in cd = x

So, she will invest in bond =

Now, the cd earns 4% and bond earns 7% and total interest earned is $360.

=>

=>

So, x = 2000 (amount in cd)

And amount in bonds = = $4000.

Therefore, $2000 was invested in cd at 4% and $4000 was invested in bonds at 7%.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315