Find the interquartile range (IQR) of the data in the dot plot below.

Find the balance in an account with $7,000 principal earning 5% interest compounded quarterly

nadya68 [22]

Answer:

The balance is $\$11,505.34$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$7,000\\ r=0.05\\n=4$

substitute in the formula above

$A=\$7,000(1+\frac{0.05}{4})^{4*10}=\$11,505.34$

3 0

3 years ago

Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linea

Ne4ueva [31]

Answer: 1 club - Club 2

Step-by-step explanation:

You can find the monthly rates by deducting the cost at 12 months from the cost at 24 months and dividing it by 12.

Club 1 Club 2 Club 3

= (432 - 216) / 12 = (390 - 210) / 12 = (504 - 252) / 12

= $18 = $15 = $21

Multiply these rates by 6 months and any club total cost at 6 month that differs from your answer has a joining fee.

Club 1; Club 2; Club 3

= 18 * 6 = 15 * 6 = 21 * 6

= $108 = $90 = $126

Same as total cost at Joining fee of $30; No joining fee as

6 months so no joining 120 - 90 = $30 this is the same

fee. as total cost at 6

months.

5 0

3 years ago

Read 2 more answers

Help me ASAP for this question

ludmilkaskok [199]

Answer:

Your answer is 7

Hope this helps!

Step-by-step explanation:

You plug 14 in for x then just do 14-7 and you will get 7

7 0

3 years ago

Read 2 more answers

Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t

LiRa [457]

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

$(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)$

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

$(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)$

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6) $=\dfrac{20}{36}$

The probability distribution of this event is given as follows.

$\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|$

First, we determine the expected Value of this event.

Expected Value

$=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67$

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning $=\dfrac{20}{36}$

If the game is played 100 times

Number of times expected to win

$=\dfrac{20}{36} \times 100\\=56$ times$

Therefore, number of times expected to loose

= 100-56

=44 times

8 0

3 years ago

you and 3 friends go to lunch and ordered nachosthat cost 10.30. each person also orders a soda at 1.50. write an equation to sh

kicyunya [14]

Answer:

y = 4(10.30+1.50)

Step-by-step explanation:

Since there are 4 people, you and 3 others, you would multiply everything by 4. Inside the parenthesis, would be the nachos and a drink that everyone got. Since all four people got the same thing, it would be 4x10.30 + 4x1.50, which together would be y = 4(10.30+1.50)

5 0

3 years ago