Answer:
Step-by-step explanation:
I think this is the equation for annual compunt interest
FV = PV(1 + int)^time PV is present value FV is the future value
PV + Interest = FV
FV - PV = Interest
FV - PV
Interest = [3000(1 + 0.03)^30] - 3000
= 3000(1.03)^30 - 3000
= 3000(2.4272) - 3000
= 7281.79 - 3000
= $4282 to the nearest dollar <------------ Fianl Answer
Answer:
Yes, both np and n(1-p) are ≥ 10
Mean = 0.12 ; Standard deviation = 0.02004
Yes. There is a less than 5% chance of this happening by random variation. 0.034839
Step-by-step explanation:
Given that :
p = 12% = 0.12 ;
Sample size, n = 263
np = 263 * 0.12 = 31.56
n(1 - p) = 263(1 - 0.12) = 263 * 0.88 = 231.44
According to the central limit theorem, distribution of sample proportion approximately follow normal distribution with mean of p = 0.12 and standard deviation sqrt(p*(1 - p)/n) = sqrt (0.12 *0.88)/n = sqrt(0.0004015) = 0.02004
Z = (x - mean) / standard deviation
x = 22 / 263 = 0.08365
Z = (0.08365 - 0.12) / 0.02004
Z = −1.813872
Z = - 1.814
P(Z < −1.814) = 0.034839 (Z probability calculator)
Yes, it is unusual
0.034 < 0.05 (Hence, There is a less than 5% chance of this happening by random variation.
Answer:
8/37
Step-by-step explanation:
First subtract 450 - 370.
450 - 370 = 80
Then put it into fraction form where the increase is the numerator and the cost from last year is the denominator.
80/370
Then, simply the fraction (if possible).
8/37
Answer:
Step-by-step explanation:
Formula for circumference = 2πr
where r = radius
π = 3.14
10. Radius = 4in
Circumference = 2πr = 2 × 3.14 × 4
= 25.12in
11. Radius = 7 yard
Circumference = 2πr = 2 × 3.14 × 7
= 43.96 yard
12. Radius = 3.6 km
Circumference = 2πr = 2 × 3.14 × 3.6
= 22.608 km
13. Radius = 1.1mm
Circumference = 2πr = 2 × 3.14 × 1.1
= 6.908mm
14. Radius = 1/4mi
Circumference = 2πr = 2 × 3.14 × 0.25
= 1.57mi
Answer:
SU = 15
Step-by-step explanation:
Given that,
Point T is on line segment SU. So,
SU = ST + TU
Putting all the values, we get :
SU = 12 + 3
SU = 15
Hence, the length of SU is 15 units.
