Brittany will be working full time this summer to save for her goal of having 10,000 by the time she is 21. Brittany has an account of 3.5% interest, compounded monthly. She'll turn 17 at the end of the summer. About how much will Brittany have to deposit so that. Her money can grow into 10,00 by the time she's 21?

$ 8,695.35

Step-by-step explanation:

This is a compound interest question

Amount after t years = A = P(1 + r/n)^nt

Where P = Initial Amount saved

r = interest rate

t = time in years

n = compounding frequency

A = 10,000

r = 3.5 %

t = 21 - 17 = 4 years

n = Compounded monthly = 12

Step 1

Converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

P = A / (1 + r/n)^nt

Solving our equation:

P = 10000 / ( 1 + (0.035/12)^12 ×4 =

P = $8,695.35

The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.

c. DB is congruent to DB by reflexive property.

Step-by-step explanation:

The only mistake is in stating "DB is congruent to DB by transitive property."

The transitive property is:

If a = b, and b = c, then a = c.

Here we only have DB = DB, so there is no case of the transitive property being used.

The reflexive property states

a = a

in other words, something is equal to itself.

To state that DB is congruent to DB is stating something is congruent to itself, so you need the reflexive property, not the transitive property.

c. DB is congruent to DB by reflexive property.