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olga nikolaevna [1]
3 years ago
13

Molly invested $12,000 in an account with an interest rate of 6%. What is the amount in Molly's account after 6 years if the int

erest was compounded annually?A) $5,022.23B) $17,022.23C) $22,044.46D) $170,222.26
Mathematics
2 answers:
mars1129 [50]3 years ago
6 0
B. using the formula for interest rate would come out to 17,022
maxonik [38]3 years ago
3 0

Principal = $ 12,000

Rate of interest = 6% = 0.06

Time in years = t = 6 yrs

Amount = P(1+r)^{t}

Amount = 12,000(1+0.06)^{6}

Amount = 12,000(1.06)^{6}

Amount = 12,000(1.418519112256)

Amount = $ 17022.2293

Interest = Amount - Principal

Interest = 17,022.2293 - 12,000

Interest = $5022.2293

Interest = $ 5022.23

Option A is the answer


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Answer:

C.4.18g

The amount will remain after 12 days is 4.18 g

Step-by-step explanation:

we can use formula

P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }

where

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we are given

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h=28.5

In a sample of 5.6 grams of curium-243

so,

P_0=5.6

now, we can plug values

P(t)=5.6(\frac{1}{2})^{\frac{t}{28.5} }

now, we can plug t=12

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P(12)=4.18253

So,

The amount will remain after 12 days is 4.18 g

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