Jarad, a middle school student, receives $5000 from his grandmother. he decides to invest it in an interest-bearing account, in hopes of earning enough interest to buy a car at a later date. jarad deposits the entire amount into an account that pays 6.3% interest, compounded weekly. how many weeks must jarad wait for the investment to reach a value of $6700? round your answer up to the next complete week and assume that there are exactly 52 weeks in a year. number of weeks number of weeks

242 weeks

After n weeks at annual interest rate r, the principal amount P will result in account balance A according to ...

... A = P·(1 +r/52)^n

Taking logs, we get

... log(A) = log(P) +n·log(1 +r/52)

... (log(A) -log(P))/log(1 +r/52) = n . . . . . solve for n

Filling in the given informatin, we have ...

... (log(6700) -log(5000))/log(1 +.063/52) = n ≈ 241.71

Rounded to the next higher number of weeks, this is 242 weeks.

answer: x

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°