Answer:
B. 10 months
Step-by-step explanation:
The balance on the loan will be ...
b = 1600 - 80t . . . . . . where t is the number of months of payments
The balance in the savings account will be ...
s = 500 + 25t
The savings account balance will be at least as much as the loan balance when ...
s ≥ b
500 +25t ≥ 1600 -80t . . . substitute the account balance expressions
105t ≥ 1100 . . . . . . . . . . . . add 80t -500
t ≥ 1100/105 ≈ 10.48 ≈ 10
It will take Josh 10 months to have enough savings to pay the loan in full.
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<em>Comment on rounding</em>
IMO, it makes no sense to round down, as Josh will NOT have enough in 10 months. He will have enough after he makes one more payment of $80. At 10 months, the loan balance is $50 more than the savings balance. It will be 11 months before there is enough savings to pay off the loan.
Answer:
$2,000 or 6.25%
Step-by-step explanation:
1000 x 2 = 2000
28000 + 2000 = 30000 Juan's salary after 2 years
500 x 2 = 1000
31000 + 1000 = 32000 Mariana's salary after 2 years
30000 - 32000 = 2000 difference in salary
2000/32000 x 100= 6.25 difference in salary in percentage
Step-by-step explanation:
For this case, what we are going to do first is to assume that all the exams are worth the same percentage of the final grade.
We have then that Lisa's average grade point equation is:
Where,
x: minimum note that lisa must obtain in the last exam.
Clearing x we have:
Answer:
the lowest grade she can get on her last test is:
x = 94
Answer:
The cities are approximately 1452 km apart
Step-by-step explanation:
The two cities are on the same Longitude 90°W therefore the distance between them is on a great circle
Latitude of the first city = 23°N
Latitude of the second city = 36° N
Because their latitude are on the same polar axis, we subtract to get the angular difference
Angular Difference = 36 -23 =13°
where 
The cities are approximately 1452 km apart
