Answer:
The new interest rate is about 0.1038.
As a percent, this is about 10.4%.
Step-by-step explanation:
We are given:
From this, we can determine that the interest rate is compounded annually at 10%.
We want a new equation that keeps A and P but the interest rate is compounded quarterly.
Compound interest is given by:
Since we are compounding quarterly, n = 4. Since the rate is 10%, r = 0.1. P stays at 250. Therefore:
Add:
Rewrite:
So:
Therefore, the approximate new interest rate is 1.1038 - 1 or about 0.1038.
As a percent, this will be 0.1038 or about 10.4%.
Hey there :)
Now lets name each house
A B C D E F
500ft <-> 500ft <-> 500ft <-> 500ft <-> 500ft <-> 2000ft
Let's say the bus stops at A
= 0 ( from A ) + 500 ( from B ) + 500 + 500 ( from C ) + 500 + 500 + 500 ( from D ) + 500 + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 500 + 2000 ( from F )
= 0 + 500 + 1000 + 1500 + 2000 + 4000
= 9000 ft
at B
= 500 ( from A ) + 0 ( from B ) + 500 ( from C ) + 500 + 500 ( from D ) + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 2000 ( from F )
= 500 + 0 + 500 + 1000 + 1500 + 3500
= 7000 ft
at C
= 500 ( from A ) + 500 + 500 ( from B ) + 0 ( from C ) + 500 ( from D ) + 500 + 500 ( from E ) + 500 + 500 + 2000 ( from F )
= 500 + 1000 + 0 + 500 + 1000 + 3000
= 6000 ft
Do the same for D , E and F
at D
= 6000 ft
at E
= 7000 ft
at F
= 15000 ft
You will find that the bus should stop at either C or D to make the sum of distances from every house to the stop as small as possible.
Answer:
-8, 40, 32.
Step-by-step explanation:
On edge owo <3~
Answer: Total amount earned by Laney in 4hour=$138
Total amount earned by Maka in 4hours=$134
Difference =$4
Step-by-step explanation:
Since
Maka charges can be modeled by the equation F=30h+14,
where h =number of hours that Maka tutors
F = the total amount earned. Following same model
With 14 being the charge in dollar for travel expenses.
Laney charging $10 for travel expenses plus $32 per hour of tutoring can also be represented as
F= 32h +10
Such that total amount earned by
Maka in 4hours gives
F=30h+14
F=30x4 +14
F=120+14=$134
In the same vein the total amount earned by Laney in 4hours gives
F=32h+10
F= 32x4+10
F=128+10=$138
The difference in money earned by Laney and Maka = $138-$134= $4
