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kherson [118]
3 years ago
15

Help please. r/5 - 6 = -1 A) r = 1 B) r = 5 C) r = 10 D) r = 25

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0
Hello :),

\frac{r}{5}-6=-1 \\    \\ \frac{r}{5} =-1+6=5 \\  \\  r=5*5=25.
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Answer:

\large\boxed{-9y^5}

Step-by-step explanation:

-3y\cdot3y^4=(-3\cdot3)(y\cdot y^4)\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=-9y^{1+4}=-9y^5

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3 years ago
Find a mathematical model that represents the statement. F varies directly with s and inversely as the square root of d. f=6 whe
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Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. In this case, you need to find x when y = 44 and z = 6. Example 2 – If f varies directly as g and inversely as the square of h, and f = 20 when g = 50 and h = 5, find f when g = 18 and h = 6.

Step-by-step explanation:

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3 years ago
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8/21,13/21 because .16/42=x/100 and then cross multiply and simplify
6 0
3 years ago
A game of chance involves rolling an unevenly balanced 4-sided die. The probability that a roll comes up 1 is 0.22, the probabil
GuDViN [60]

Answer:

Expected Winnings = 2.6

Step-by-step explanation:

Since the probability of rolling a 1 is 0.22 and the probability of rolling either a 1 or a 2 is 0.42, the probability of rolling only a 2 can be determined as:

P_{1,2} = P_{1}+P_{2}\\P_{2} = 0.42 - 0.22 = 0.20

The same logic can be applied to find the probability of rolling a 3

P_{2,3} = P_{2}+P_{3}\\P_{3} = 0.54 - 0.20 = 0.34

The sum of all probabilities must equal 1.00, so the probability of rolling a 4 is:

P_{4} =1- P_{1}+P_{2}+P_{3} = 1-0.22+0.20+0.34\\P_{4}=0.24

The expected winnings (EW) is found by adding the product of each value by its likelihood:

EW=1*P_{1}+2*P_{2}+ 3*P_{3}+ 4*P_{4} \\EW=1*0.22+2*0.20+ 3*0.34+ 4*0.24\\EW=2.6

Expected Winnings = 2.6

8 0
3 years ago
The Taylors have purchased a $320,000 house. They made an initial down payment of $20,000 and secured a mortgage with interest c
gogolik [260]
Part A: monthly payment

Initial loan after downpayment,  
P = 320000-20000= 300,000

Interest rate per month, 
i = 0.06/12= 0.005

Number of periods, 
n = 30*12= 360

Monthly payment, 
A = P*(i*(1+i)^n)/((1+i)^n-1)
= 300000(0.005(1.005)^360)/(1.005^360-1)
= 1798.65


Part B: Equities
Equity after y years
E(y) = what they have paid after deduction of interest
= Future value of monthly payments - cumulated interest of net loan
= A((1+i)^y-1)/i - P((1+i)^y-1)
= 1798.65(1.005^y-1)/.005 - 300000(1.005^y-1)
= (1798.65/.005-300000)(1.005^y-1)

Equity E
for y = 5 years = 60 months
    E(60) = (1798.65/.005-300000)(1.005^60-1) = 18846.17
for y = 10 years = 120 months
    E(120) = (1798.65/.005-300000)(1.005^120-1) = 45036.91
y = 20 years = 240 months
    E(240) = (1798.65/.005-300000)(1.005^240-1) = 132016.53

Check: equity after 30 years
y = 30 years = 360 months
    E(360) = (1798.65/.005-300000)(1.005^360-1) = 300000.00  .... correct.
3 0
3 years ago
Read 2 more answers
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