Isabelle invested $25,000 into an account that earns 3% annual interest compounded quarterly. If she makes no other deposits into the account, what will be the balance of her account in 20 years? Round to the nearest whole dollar.

$43451

$38451

$45451

$52451

$45451

Step-by-step explanation:

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 = 25000

r = 3% = 3/100 = 0.03

n = 4 because it was compounded 4 times in a year.

t = 20 years

Therefore,

A = 25000(1+0.03/4)^4 × 20

A = 25000(1+0.0075)^80

A = 25000(1.0075)^80

A = $45451

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.