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a_sh-v [17]
3 years ago
6

Show all of your work. Simplify the expression: - 3a + 7 + 5a​

Mathematics
2 answers:
romanna [79]3 years ago
5 0

Answer: it would be 2a+7

Step-by-step explanation: Hope this help :D

Eva8 [605]3 years ago
4 0

Answer:

2a + 7

Step-by-step explanation:

-3a + 7 +5a

<em>subtract the negative 3 from the 5</em>

2a + 7

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Steph runs a vehicle body repair shop with one mechanic in Cleveland. Repair time for vehicles is exponentially distributed, wit
horsena [70]

Answer:

System utilization = 0.7 or 70%

Step-by-step explanation:

Given arrival rate of customer = 15 customer/Hour

Servie rate = \dfrac{60}{2.8} customer/Hour

Now, use the below formula to find the system utilization.

System utilization = \dfrac{\text{ Arrival rate of customer }}{\text{ Servie rate}}

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System utilization = \dfrac{15}{ \dfrac{60}{2.8}}

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5 0
3 years ago
Janet's home went to Citizens Bank she borrowed 7000 at a rate of 8% the date of the alone was September 20th Janet Hope to repa
almond37 [142]
Interest depends a lot on the compounding period.
Since the period is exactly 4 months, we assume
APR=8%
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=7000[(1+0.08/12)^4-1]
=7000[0.0269345]
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6 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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