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erastova [34]
3 years ago
14

What is the number of possible outcomes when tossing 5 coins at once?

Mathematics
1 answer:
drek231 [11]3 years ago
3 0
<span>Each coin can be either heads or tails. The number of outcomes is equal to the amount of values the coins can take on (two) raised to the number of coins being tossed (five). Two times itself five times (2*2*2*2*2) equals 32 possible outcomes.</span>
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Find the simple interest earned on $2600 invested for 3 years at 12% per annum​
Aleks04 [339]

Answer:

$936

Step-by-step explanation:

Simple interest is money you can earn by initially investing some money (a.k.a the principal). In return, a percentage (a.k.a the interest) of the initial money invested is added to the principal, this is what makes your initial investment grow.

The equation for simple interest is:

I = P x r x t

P = Principal, $2600

r = interest rate, 12%

t = time involved, 3 years

Fill in the values:

2600 × 0.12 × 3 = $936.00

5 0
3 years ago
Read 2 more answers
Solving multi step equations 5/6k + 2/3 = 4/3
Tpy6a [65]

Answer:

k = 4/5

Step-by-step explanation:

First, rewrite 5/6k as (5/6)k; this is "five sixths of the variable k."

Next, identify the LCD.  It is 6.  Then the given equation becomes

5k + 4 = 8

Consolidate the constant terms:  

5k = 4

Solve for k: k = 4/5

5 0
3 years ago
Please add this problem 4 5/6 + 6/7=
sweet [91]
Convert to a mixed number:
239/42

Divide 239 by 42:
4 | 2 | 2 | 3 | 9

42 goes into 239 at most 5 times:
 | | | | 5
4 | 2 | 2 | 3 | 9
 | - | 2 | 1 | 0
 | | | 2 | 9

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
 | | | | 5 | (quotient)
4 | 2 | 2 | 3 | 9 | 
 | - | 2 | 1 | 0 | 
 | | | 2 | 9 | (remainder)


The quotient of 239/42 is 5 with remainder 29, so:

Answer: 5 29/42
7 0
3 years ago
Read 2 more answers
A family wants to save for college tuition for their daughter. What continuous yearly interest rate r% is needed in their saving
sergey [27]

Answer:

The continuous yearly interest is  22.5% per year.

Step-by-step explanation:

Continuous yearly interest:

Continuous yearly interest is defined as the sum of the interest comes from principle and the interest comes from interest.

The formula for continuous interest yearly is

A=Pe^{rt}

where A = The final amount =$110,000

P= principle =$4,700

r= rate of interest

t= time (in year)= 14 years

\therefore 110,000= 4,700e^{r\times 14}

\Rightarrow e^{14r}= \frac{110,000}{4,700}

Taking ln both sides

\Rightarrow ln e^{14r}= ln(\frac{110,000}{4,700})

\Rightarrow {14r}= ln(\frac{1100}{47})

\Rightarrow r=\frac{ln( \frac{1100}{47})}{14}

\Rightarrow r = 0.225  (approx)

The continuous yearly interest is 0.225 = 22.5% per year.

4 0
3 years ago
Can somebody plz answer questions 13-18 correctly thank you!
erik [133]

Answer:

13. 20%

14.7%

15. 3.5%

16.45%

17. 84%

18. 68.5%

3 0
3 years ago
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