Michelle's father deposited $1,000 into a savings account when she was born. The annual interest rate is 4.5%. Since opening the account, Michelle's father has never deposited or withdrawn money from it.

What age will Michelle be when her account reaches more than $2,000?

Michelle's age = 16

Step-by-step explanation:

As we know,

Amount = where

P = Principal amount

r = rate of interest

t = time

Given ,

P = $1000

r = 4.5 % =

Now,

Given that Amount reaches more than $2000

⇒  > 2000

⇒ > 2000

⇒ > 2

Now,

we put the value of t from 0 , 1, 2, ..... untill the above equation does not satisfy

Now,

for t = 0

for t = 1

for t = 2

for t = 3

for t = 4

for t = 5

for t = 6

for t = 7

for t = 8

for t = 9

for t = 10

for t = 11

for t = 12

for t = 13

for t = 14

for t = 15

for t = 16

It satisfies at t= 16

∴ we get

Michelle's age = 16

0. $1,000  1. $1,045  2. $1,092.03  3. $1,141.17  4. $1,192.52. 5. $1,246.18     6. $1,302.26  7. $1,360.86  8. $1,422.10

Step-by-step explanation:

First you start with the beginning balance of $1,000 dollars, then you multiply that by 1.045 to get $1,045 dollars after one year. Then you multiply $1,045 by 1.045 to get $1,092.025 (monetarily correct, it would be $1,092.03) after the second year. Then you multiply $1,092.025 (keeping it un-rounded for precision) by 1.045 to get $1,141.16612 after the third year. Then you multiply $1141.16612 by 1.045 to get $1,192.5186 after the fourth year. Multiply $1,192.5186 by 1.045 to get $1,246.18193 after the fifth year. Multiply $1,246.18193 by 1.045 to get $1,302.26012 after the sixth year. Multiply $1,302.26012 by 1.045 to get $1,360.86182 after the seventh year. Multiply $1,360.86182 by 1.045 to get $1,422.10061 after the eighth year. Basically, Michelle is going to be a trust fund baby by the time she's twenty and she won't have to worry about college if she works hard and does well in high school.

The answer is in the image 

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The solution is in the following image

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.