A total of 31,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by 1,000 how much will be invested in each type of investment?

Bonds: $42,000

Certificates of deposit: $41,000

Step-by-step explanation:

Total invested = Amount in bonds + Amount in CDs

Amount in bonds = Amount in CDs + 1000

Let the amount in bonds = B and the amount in CDs = C

1. 83,000 = B + C

2. B = C+1000

Since the above expression (#2) defines B, you can substitute it for the B in the first equation (#1).

83,000 = C + 1000 + C

Now, you can solve for C.

83,000 = 2C + 1000

82,000 = 2C

41,000 = C

You know that the amount invested in bonds is $1000 greater than the amount invested in CDs, so add $1000 to C and you find B, $42,000.

hi,

6x times 4 is 24x and 5 times 4 is 20, so the answer is 24x+20.

hope this and for a little humor i am groot.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: