Answer:
The original amount of the mortgage was $66231.45.
Step-by-step explanation:
In order to find the original amount of the mortgage, you can use the following formula to calculate the present value:
PV=FV/(1+r/n)^nt
PV=present value
FV=future value= 775*12*12=111.600
r=rate of interest=0.0440
n= number of compounding periods= 2
t= time in years=12
Now, you can replace the values on the formula:
PV=111600/(1+(0.0440/2))^2*12
PV=111600/(1.022)^24
PV=111600/1.685
PV=66231.45
According to this, the answer is that the original amount of the mortgage was $66231.45.
Answer: x = -9
Step-by-step explanation:
Subtract 10 from both sides:
4x + 10 - 10 = -26 - 10
Simplify:
4x = -36
Divide both sides by 4:
4x/4 = -36/4
simplify:
-36/4 = -9
Answer: x = -9
Answer:
option D; 20/3 OR 6 2/3
Step-by-step explanation:
CONVERT THE HOURS INTO MINUTES;
3/4 × 60 = 45 mins
1hour = 60 mins
45 mins = 5 miles
60 mins = ??
cross multiply;
60 by 5 ÷ 45 to get 20/3.
So, you had done everything right so far (other than squaring the 2), but that was only half of the question.
to find the least common multiple, you need to first figure out what the prime factors have in common.

each have two twos. both have one 5, so we know our answer will look something like

now to figure out the other stuff... we have to represent the greatest amount of everything that is left, and we have 3s and 7s left over, so we need to figure out how many of each we need.
one has one 3 and one has two, so we need two threes. now our equation is

what's the only number we have to deal with? 7...
how many sevens does 60 have? 0, and 630 has 1, so we know we need one 7. our answer becomes
Variables next to each other can be regarded as being multiplied by each other, so another way to rewrite this could be A * A * A * A * B * B. From there, you can reach