First figure out the slope, the equation is Y2-Y1/ X2-X1.. m=-3/4 So far your equation is y=-3/4x + b. b is the y intercept. Plug in either points in the equation to have so far.. you will receive 7/4. The equation is y=-3/4 + 7/4
When an absolute value is changed in the horizontal, <em>the units in change are inside the "bars"</em>, and are as follows: <em>left = positive, right = negative</em>.
Therefore, the equation is y = | x - 6.5 |.
Answer:$4,369.17
Step-by-step explanation:
Compound interest (A)= P(1 + r/n)^not
A = compound interest
P = principal
r = rate
n = number of times the interest is compounded in a year
t = Time
From our data,
R = 3.6%
T =30 years
P = $535000
n= 12
A = 535000(1 + 0.036/12)^12*30
A= 535000*2.94
A= $1,572,900
In 30 years, we have (30*12) number of months = 360 months
To get the amount paid monthly, we divide the compound interest by the total number of months they'll repay the loan
Monthly payment = $1,572900/360 = $4,369.17
Answer:
z= 0.278
Step-by-step explanation:
Given data
n1= 60 ; n2 = 100
mean 1= x1`= 10.4; mean 2= x2`= 9.7
standard deviation 1= s1= 2.7 pounds ; standard deviation 2= s2 = 1.9 lb
We formulate our null and alternate hypothesis as
H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)
We set level of significance α= 0.05
the test statistic to be used under H0 is
z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂
the critical region is z > ± 1.96
Computations
z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100
z= 10.4- 9.7/ √ 7.29/60 + 3.61/100
z= 0.7/√ 0.1215+ 0.0361
z=0.7 /√0.1576
z= 0.7 (0.396988)
z= 0.2778= 0.278
Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0 at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.
