Call T the price of the T-shirts and P de price of the jeans
Initially (without discount)
2T + P = 40
One month later (half prices)
2 (T/2) + 5(P/2) = 60
T +5P/2 = 60
To solve the system of equations multiply the second equation by 2 and substract it from the first equation
2 T + 5P = 120
- (2 T + P = 40 )
________________
4P = 80
P = 80/4
P = 20
From 2T + P = 40
T = (40 - P) / 2 = (40 -20) / 2 = 20/2 = 10.
The price of a T-shirt is $10 and the price of a pair of jeans is $20.
Answer:
E. 18 children are buying their lunches
F. Rock must pay $50 each month
Step-by-step explanation:
E.
To find a percentage you multiply the number by the percentage;
60 x 70%(0.70) = 42 children brought their lunches
But we need the amount <u>buying</u> their lunches so we would subtract 60 by 42;
60 - 42 = 18 buying their lunches
F.
Again, to find the percentage we multiply it by the original;
$800 x $25(0.25) = $200 Rock paid for the down payment on the sofa
Now we need to find how much Rock still needs to pay for the sofa;
$800 - $200 = $600 more needed to pay for the sofa
Lastly, we must find how much Rock will need to pay <u>each month</u> to pay the rest of the $600. There are 12 months in a year, so we divide that by the amount left;
$600 / 12 = $50 needs to be paid each month for a year
Answer: d) $369.31 to $380.69
Step-by-step explanation:
Given;
Mean price x= $375
Standard deviation r= $20
Number of retail stores n = 50
Confidence interval of 95%
Z*(95%) = 1.96
Confidence interval = x+/-Z*(r/√n)
= $375+/- 1.96(20/√50)
= $375+/- 5.69
Confidence interval = ($369.31 to $380.79)
$662.18 needs to be saved per month.
$90,000 now at 3% inflation will become 90000*1.03^30 after 30 years.
i.e. $218,454 is required in retirement years (for 20 years)
Calculating the PV of these payments at 7% is calculated as below.
FV = 0
1/y = 7%
n=20; PMT = 218454; calculate PV = $2,314,305
Now we want to get $2,314,305 at the start of retirement by saving per year. Enter the following in the financial calculator to get the per month amount.
FV = 2314305; PV = 0; n= 12*30; 1/y = 12%/12; calculate PMT = $662.18
So $662.18 needs to be saved per month.
Learn more about inflation here: brainly.com/question/8149429
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Answer:
11.8 ;
0.1036360
Step-by-step explanation:
Mean births per day, μ = number of births per year / number of days in a year ;
4310 / 365 = 11. 8 births per day
From poisson distribution :
P(x) = (μ^x * e^-μ) ÷ x!
P(x = 13) = (11.8^13 * e^-11.8) ÷ 13!
P(x = 13) = 6.453438E8 / 13!
P(x = 13) = 0.1036360
