Answer:
A
Step-by-step explanation:
∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.
Let's find out:
DE/AB = 10/5 = 2
EF/BC = 8/4 = 2
FD/CA = 12/6 = 2
The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.
Answer:
See below
Step-by-step explanation:
- Initial Principal P₀ = 1000
- End of first period = 1000 + 1000*0.02/4 = 1005
- End of second period = 1005 + 1000*0.02/4 = 1010
- End of third period = 1010 + 1000*0.02/4 = 1015
- End of fourth period = 1015 + 1000*0.02/4 = 1020
Answer: The total interest paid on the mortgage is $179550
Step-by-step explanation:
The initial cost of the property is $300000. If he deposits $30000, the remaining amount would be
300000 - 30000 = $270000
Since the remaining amount was compounded, we would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 270000
r = 2% = 2/100 = 0.02
n = 12 because it was compounded 12 times in a year.
t = 25 years
Therefore,
A = 270000(1+0.02/12)^12 × 25
A = 270000(1+0.0017)^300
A = 270000(1.0017)^300
A = $449550
The total interest paid on the mortgage is
449550 - 270000 = $179550
Was increased by 1 inch, the new measure of each side would be 4 inches.
Answer:
t=5/3
Step-by-step explanation:
in order to get our answer, we have to first open it up which comes to 3t-6=-1
next,we have to isolate the variable, so we add (6) to (-1)
then we get 3t=5
so, t=5/3
