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motikmotik
3 years ago
13

On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any

additional deposits or withdrawals since then, and if the interest rate has stayed the same, in what year did his balance hit $2300, according to the rule of 72? A. 1993 B. 1992 C. 1994 D. 1991​
Mathematics
1 answer:
jeka57 [31]3 years ago
8 0

Answer: A. 1993

Step-by-step explanation: A P E X

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58.(A) (5pts)A certain type of bacteria, given favorable growth medium, quadruples in population every 6 hours. Given that there
Jet001 [13]

Answer:

157286400 bacteria

Step-by-step explanation:

We are given the following in the question:

The bacteria increases 4 times every 6 hours.

Initially there are 150 bacteria.

Thus, we can write the function for number of bacteria after x hours,

f(x) = 150(4)^{\frac{x}{6}}

We have to find the number of bacteria in 2.5 days.

1 day = 24 hours

Thus,

2.5\text{ days} = 24\times 2.5 = 60\text{ hours}

Putting x = 60 in the above equation, we get,

f(60) = 150(4)^{\frac{60}{6}} = 150(4)^{10} = 157286400

Thus, there will be 157286400 bacteria in two and a half days.

5 0
4 years ago
Mindy buys 12 cupcake. Nine of the cupcake have chocolate frosting and the resy have vanilla frosting. What fraction of the cupc
Setler [38]
If there are 12, and nine have chocolate, subtract 9 from 12. You will get 3, so you will get 3/12.
4 0
3 years ago
Read 2 more answers
c. Debbie and Jan are both in the 28% tax bracket. Since the interest is deductible, how much would Debbie and Jan each save in
alisha [4.7K]

Step-by-step explanation:

Let's assume Debbie paid $1700 in interest, while Jan paid $9000.

Debbie Saves = $1700* 0.28

Jan Saves = $9000 * 0.28

Debbie Saves $476 in taxes

Jan Saves $2520 in taxes

7 0
3 years ago
Billy buys light bulbs in packs of 8 for $20. The shipping cost is $10 regardless of the number of packs bought. Billy has only
kirill115 [55]

Answer:

5

Step-by-step explanation:

He can buy 5 boxes of light bulbs..

20 x 5= 100

He only has 120 to spend - the shipping = 110

He can't get another box of lightbulbs. Therefor he can only buy 5!

7 0
3 years ago
Read 2 more answers
You deposit $400 into an account that pays 2% annual interest compounded quarterly.
jeka57 [31]
A.

A = 400 (1 + (0.02)/4)^4t    where t = number of years and A = amount after t years
simplifying that becomes

A = 400 (1.005)^4t

b  amount after 5 years is

400 (1.005)^(4*5)  = 400 (1.005)^20 =  $ 441.96
4 0
4 years ago
Read 2 more answers
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