Answer:
first, u need to know the formula for compound interest, which is:

where A is the final amount
P- initial amount
r- percent compounded(interest)
and
n- number of years
so
we have

3.8/100 = 0.038
1+0.038 =1.038
1.038^4 = 1.160885573136
475 * 1.160885573136 = 551.4206472396
approximately $551.42
y= x^2 - 6x-7
Vertex = -b /2a
b= -6
a= 1
-(-6)/2(1)= 3
x= 3
Use the substitution method to find y
y= (3)^2-6(3)-7
(3)(3)-18-7
9-25
y= -16
Vertex is (3, 16)
Find x- intercept (y= 0)
y= x^2 - 6x-7
(x-7)(x+1)
x-7= 0
Move -7 to the other side. Sign changes from -7 to 7
x-7+7= 0+7
x= 7
x+1= 0
Move +1 to the other side. Sign changes from +1 to -1
x+1-1= 0-1
x= -1
Answer :B. Vertex: (3, -16); Intercepts: x=-1,7
Answer:
(3/2,3)
Step-by-step explanation:
1.Rewrite the equation
y=3 2x=3
2.Solve the equation
y=3 x=3/2
(x,y)=(3/2,3)
Answer:
139.79 yd²
Step-by-step explanation:
area of rectangle = l·w
A = 12·9 = 108
area of semi-circle = 1/2πr²
A = 1/2·(3.14)·(9/2)²
A = 31.79
area of composite shape = 108 + 31.79
A = 139.79
Answer:
a. 0.71
b. 0.9863
Step-by-step explanation:
a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.
-To estimate the probability that a randomly selected house has a value less than $500,000:

Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71
b. -since 40 is larger than or equal to 30, we assume normal distribution.
-The probability can therefore be calculated as:

Hence, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863