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Y_Kistochka [10]
4 years ago
14

How much money would you need to deposit today at 5% annual interest compounded monthly to have $20000 in the account after 9 ye

ars?
Mathematics
2 answers:
mario62 [17]4 years ago
7 0
20000=p(1+0.05/12)^12*9
Solve for p
P=20,000÷(1+0.05÷12)^(12×9)
P=12,764.49
Nana76 [90]4 years ago
5 0
$12,764.49 because 9 yrs = 108 months
<span>5% annual = (5/12)% per month = 5/1200
</span><span>FV = PV*(1 + 5/1200)^108 = 20000
PV = 20000/(1 + 5/1200)^108
PV = $12,764.49</span>
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Convert 175% to a fraction.<br> i did this 3 times and i keep getting it wrong :(
kumpel [21]

p\%=\dfrac{p}{100}\\\\175\%=\dfrac{175}{100}=\dfrac{175:25}{100:25}=\dfrac{7}{4}

3 0
3 years ago
quadrilateral kstu has vertices at (7,0) (4,-6) (0,-2) and (0,0). rotate 180 degrees around the origin
solong [7]

Step-by-step explanation:

so basically for this on u have to draw this on graph every first number of the coordinate is on x axis e.g . (7,0) 7 is on x axis and 0 is on Y axis. you can use tracing paper for this which will be more helpful as u can trace the shape and move it half way.

As u rotate it around the origin so u just turn it half way. eg I drawn it on the picture.

hope this make sense :)

5 0
3 years ago
F a gambler rolls two dice and gets the sum of 7, he wins $20. if he gets a sum of 4, he wins $40. the cost of playing is $14. w
DaniilM [7]
The expectation of this game is that the house (casino) takes in roughly $3.83 every time someone plays, and after enough plays, they will typically always win. 

We can determine this case by looking at all of the possibilities and how much you can win or lose off of each. There are 36 total cases for what can happen when we roll the dice. Of those 36 cases, 9 of them produce positive winnings and 27 of them produce losses. 

To calculate the winnings, we need to look at what type they are. 6 of them will be 7's which earn the gambler $20. 3 of them would be 4's, which earns the gambler $40. 

6($20) + 3($40) 
$120 + $120
$240

Then we look at the losses. This is easier to calculate since every time the gambler loses, he losses exactly $14. There are 27 of these instances. 

27($14) 
$378

Now we can look at the average loss per game by subtracting the losses from the gains and finding the average. 

(Winnings - losses)/options
($240 - 378)/36
$3.83
3 0
3 years ago
Donald Duck's car gets 30 miles per gallon. How many miles can he drive on 9.2 gallons of gas? At $ 2.19 a gallon, how much woul
Vinil7 [7]

Answer:

276 miles, $ 20.148

Step-by-step explanation:

Given:

Donald Duck's car travels in 1 gallon gas = 30 miles

Cost of 1 gallon = $ 2.19

Question asked:

Distance travel in 9.2 gallons = ?

Cost of 9.2 gallons of gas = ?

Solution:

By applying unitary method:

His car travels in 1 gallon = 30 miles

His car will travel in 9.2 gallons = 9.2\times30

                                                    =  276 miles

Cost of 1 gallon = $ 2.19

Cost of 9.2 gallons = 9.2\times2.19

                                = $ 20.148

5 0
3 years ago
At a certain gym 45% of people go to Zumba classes, 52% lift weights, and 44% go to yoga classes. 15% of people attend Zumba and
Anna11 [10]

Answer:

The answer is %14.

Step-by-step explanation:

Lets consider that there are 100 people attending to the gym class.

Then we know that 45 person is going to Zumba training.

%5 of people attends all the classes in the gym. Means 5 person attends all the classes. Lets subtract them from 45 person. 45-5=40. We have 40 person left.

%15 of people attends Zumba and yoga, %21 of people attends Zumba and weight lifting. First we need to substract first %5 which attends all classes in the gym from both clusters.

21-5=16 and 15-5-10

We have 10+16=26 person which attends Zumba and one more class. Lets subtract those from Zumba cluster 40-26=14. 14 person is only attending to Zumba classes

4 0
3 years ago
Read 2 more answers
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