You have just won $150,000 from a lottery. if you invest all this amount in a tax-free money market fund earning 8% compounded weekly, how long do you have to wait to become a millionaire? (round your answer to two decimal places.)

1234.08 weeks.

Step-by-step explanation:

Since, the amount formula in compound interest is,

Where, P is the principal amount,

r is the rate per period,

t is the number of periods,

Given,

P = $ 150,000,

Annual rate = 8 % = 0.08,

So, the weekly rate, r =  ( 1 year = 52 weeks )

A = 1,000,000

By substituting the values,

Taking log both sides,

Hence, for become a millionaire we should wait 1234.08 weeks.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

can you put the picture up?

step-by-step explanation: