Answer:
x= -2
Step-by-step explanation:
4x+4=-3x-10
7x+4=-10
7x=-14
x=-2
Answer:
$2400 in A rated bond and $3000 in B rated bond.
Step-by-step explanation:
We have been given that Maria has recently retired and requested an extra $444.00 per year in income.
We can represent this information in an equation as:

She has $5400 to invest in an A-rated bond that pays 10% per annum or a B-rated bond paying 6% per annum.

From equation (1), we will get:

Substitute this value in equation (2):







Therefore, Maria should invest $2400 in A-rated bond.
Substitute
in equation (1):



Therefore, Maria should invest $3000 in B-rated bond.
Answer:
c
Step-by-step explanation:
To find the maximum point, differentiate:
D' = -8p +160
Set to zero and solve for p:
D' = 0
⇒ -8p +160 = 0
⇒ 8p = 160
⇒ p = 20
Input p = 20 into the original equation to find D:
D = -4(20)² + 160(20) -310 = 1290
Therefore, the price is $20 and the maximum number of drills is 1,290
Answer:
530.66
Step-by-step explanation:
A = πr²
13 x 13 = 169
169 x 3.14 = 530.66
Let me know if this helps!