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VMariaS [17]
2 years ago
5

adam invests $6,139 in an retirement account with a fixed annual interest rate compounded continuously. after 17 years the balan

ce reaches $8,624.97. what is the interest rate of the account ?
Mathematics
1 answer:
Digiron [165]2 years ago
8 0

2485.97 would be what he earned as an interest rate. The percentage would be6%

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Daniel deposited $500 into a savings account and after 8 years, his investment is worth $807.07. The equation A = d(1.005)12t mo
shtirl [24]

Answer:

Step-by-step explanation:

The equation A = d(1.005)^12t modelling the value of Daniel’s investment shows a monthly compounded interest. This means that the interest is compounded 12 times in a year.

We can confirm by inputting the given values

t = 8 years

d = 509

Therefore,

A = 500(1.005)12 × 8

A = 500(1.005)^96

A = $807.07

Therefore, the true statements are

Increases

Exponential

Never Decrease

5 0
2 years ago
Choose the abbreviation of the postulate or theorem that supports the conclusion that △WAS ≅ △NOT.
Nana76 [90]

Answer: SSS

<u>Step-by-step explanation:</u>

<u>W</u>A = <u>N</u>O

<u>A</u>S = <u>O</u>T

<u>S</u>W = <u>T</u>N

△WAS ≅ △NOT by SSS Congruency Theorem

5 0
2 years ago
Read 2 more answers
A barber shop produces 96 haircuts a day. each barber in the shop works 8 hours per day and produces the same number of haircuts
Finger [1]
We know that
A barber shop produces 96 haircuts a day----------> <span>8 hours per day
so
96/8--------> 12 haircuts per hour

if </span><span>if the shop's productivity is 2 haircuts per hour of labor
then
12/2---------> 6 </span><span>barbers

the answer is
6 </span><span>barbers</span>
7 0
2 years ago
Suppose that the universal set is U={1,2,3,4,5,6,7,8,9,10}. Express each of the following subsets with bit strings (of length 10
Vladimir [108]

Answer:

0011100000

1010010001

0111001110

Step-by-step explanation:

As the question is not complete, Here is the complete question.

Suppose that the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Express each of these sets with bit strings where the ith bit in the string is 1 if i is in the set and 0 otherwise.

a) {3, 4, 5}

b) {1, 3, 6, 10}

c) {2, 3, 4, 7, 8, 9}.

So, we need to express a) b) and c) into bit strings.

Firstly, number of elements in the universal set represent the number of bits in the bit string.

Secondly, 1 = yes element is present in both universal set as well as in sub set.

0 = No, element is not present in sub set but present in universal set.

Hence, we have:

a) Sub set {3,4,5} = 0011100000  (As there are 3 1's which means only 3,4,5 are present in both universal set and subset.

Similarly,

b) Sub set {1, 3, 6, 10} = 1010010001

c) Sub set {2, 3, 4, 7, 8, 9} = 0111001110

5 0
1 year ago
3. Tom, Sam and Matt are counting drum beats.
just olya [345]

Answer:

<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

6 0
1 year ago
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