Answer:
p= -1
Step-by-step explanation:
gradient=<u>y</u><u>²</u><u>-</u><u>y</u><u>¹</u>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x²-x¹
-1 =<u>p</u><u>-</u><u>2</u>
<u> </u><u> </u><u> </u><u> </u><u> </u>9-6
-1=<u>p</u><u>-</u><u>2</u>
<u> </u><u> </u><u> </u><u> </u><u> </u> 3
multiply both sides by 3 to remove the denominators
-1×3=p-2
-3=p-2
put the like terms together
-3+2=p
-1=p
Answer:
a 120 cm^3
b 70 cm^3
Step-by-step explanation:
The volume of a right rectangular prism is given by
V = l*w*h
10 a V = 12*2*5
=120 cm^3
10 b V = 2.5 *8 *3.5
=70 cm^3
Answer:
125 cu
Step-by-step explanation:
5 x 5 x 5 = 125
To determine the number of years it would take for money to reach a certain amount, we need to know the type of interest of the problem. As a general rule, when it is not stated clearly in the problem, we assume that it is a simple interest problem since it is the basic type of interest. We use the formula for the future value for simple interest rate. It is expressed as:
F = P (1 + i )^n where F is the future value, P is the present value, i is the interest rate, and n is the number of years
We calculate as follows:
5500 = 400 (1 + .08 )^n
55/4 = (1 + .08)^n
n = 34.06 years