Answer:
2x+6=-8(x>=-7), 2x+3<9(x<3), 2x-4<=-8(x<=-2), -x-8>=-5(x<=-3), x+-4<=-3(x<=1)
Step-by-step explanation:
Answer:
the missing angle is 148°
Step-by-step explanation:
the sum of all exterior angles of a triangle are 360°
so, 360-138-74 = 148°
Answer:
she can have 4 marbles in the bag.
Step-by-step explanation:
Because if one out of four is read then there is four marbles.
Answer
wherever the decimal is, put it directly on top of the dividing line thing. Now that the decimal looks like a regular whole number you can divide like you usually would. Whenever you do regular long division, your answer is always going to be on the top of the line. Your answer should have a decimal in it ... and that should be your answer.
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.
