Answer:
3rd option
Step-by-step explanation:
tanB =
=
= 
Answer:
42x - 21 - 9x^2
Step-by-step explanation:
basically do the area of the whole rectangle then di the area of one of the empty spaces. then subtract the value of the empty space three times because there are three empty spaces.
32(2+3) because 32 goes into 64 twice and 96 three times
Answer:
$3000.
Step-by-step explanation:
Suppose the amount invested at 7% is $X and the amount invested at 10% is $Y (assuming that the college student invested all his/her income on the two schemes). Therefore:
X + Y = 8200 (The sum of investments is basically the total income).
0.07X + 0.1Y = 664 (The sum of the interest received from the invested amounts is actually the total return).
Now solving these 2 simultaneous equations:
x + y = 8200 (Equation 1)
7x + 10y = 66400 (Equation 2)
From (Equation 1):
x = 8200 - y (Equation 3)
Put (Equation 3) in (Equation 2):
7(8200 - y) + 10y = 66400.
57400 - 7y + 10y = 66400.
3y = 9000
y = 3000.
$Y is the amount invested at 10%, therefore the final answer is $3000!!!
Answer:
Step-by-step explanation:
entire cake = x
4 lbs of cake mix on hand = 25% of x
4 = 0.25x
x = 0.25/4
x = 16 lbs
She will need 16-4 = 12 lbs more