Answer:
Step-by-step explanation:
A ship is 5 miles east and 2 miles north away
from port and then it is 3 miles east and 8
miles south away from port. Write the linear
model algebraically.
I need help ASAP please
Answer:
a) 25
b) 49
c) 97
Step-by-step explanation:
The sample size is calculated using the formula, n = 
Now,
for 95% confidence level value of z-factor = 1.96
Given:
Mean = $3.94
standard deviation = $0.25
thus,
a) for margin of error = $0.10
n =
or
n = 
or
n = 4.9²
or
n = 24.01 ≈ 25 (Rounded off to next integer)
b) for margin of error = $0.07
n =
or
n = 
or
n = 7²
or
n = 49
c) for margin of error = $0.05
n =
or
n = 
or
n = 9.8²
or
n = 96.04 ≈ 97 (Rounded off to next integer)
Let M = #miles driven
Plan 1: .50M + 70 = total cost
Plan 2 .70M = total cost
To know how far she would drive to have an equal cost for either plan just set the equations equal to each other
.70M = .50M + 70
subtract .50M from both sides
.20M = 70
M = 70/.20 = 350 miles
Check the answser:
Plan 1: .50(350) + 70 = 175 + 70 = $245
Plan 2: .7(350) = $245
they are equal so our answer checks as correct
Answer:
x+(x+2) = 156
Step-by-step explanation:
Let x = 1st odd integer
x+2 = next odd integer
x+(x+2) = 156
2x+2 =156
Subtract 2
2x= 154
Divide by 2
x = 77
x+2 = 79
P=1560000
APR=5.6%
monthly interest, i=5.6%/12=7/1500 [fractions keep exact values]
R=1+i=1+7/1500
# of periods, n=30 years = 360 periods
monthly payment, A
A=PR^n(i)/(R^n-1)
=1560000*(1+7/1500)^360*(7/1500)/((1+7/1500)^360-1)
=$8955.632
At the end of eight years,
number of periods, n1 = 8*12 = 96
If paid off at the end of 8 years, value of loan then
future value of principal
F1=PR^n1=1560000*(1+7/1500)^96=2439135.635
future value of payments
F2=A(R^n1-1)/i=8955.632*(1+7/1500)^96-1)/(7/1500)=1081485.620
Therefore the balloon payment
= future value of principal (owing) - future value of payments (paid)
=F1-F2
=2439135.635-1081485.620
=1357650.0152
Round to two places after decimal to get final answer.
