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 Since opening the account, Michelle's father has never deposited or withdrawn money from it.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.

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

The answer is in the image 

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.

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

The answer is in the image 

The answer is in the image