Here ya go
53-bbb
54-c
55-ddd
56-eee
57-aaaga
if you have questions on the way I wrote it please ask
Answer:
The scale factor is 3.
Step-by-step explanation:
Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).
Therefore, the distance OA is given by
units.
Again, the coordinates of point A' are (1,-2).
Therefore, the distance OA' is given by
units.
Hence, the scale factor is
. (Answer)
Answer:
Her new monthly payment is now $1,378.91¢
Step-by-step explanation:
For us to calculate the new monthly mortgage payment that Anna will start paying from now on, we need to input the formula for calculating monthly mortgage payments.
The formula is:-
![M = P [\frac{r(1+r)^{n} }{(1+r)^{n}-1}]](https://tex.z-dn.net/?f=M%20%3D%20P%20%5B%5Cfrac%7Br%281%2Br%29%5E%7Bn%7D%20%7D%7B%281%2Br%29%5E%7Bn%7D-1%7D%5D)
Where M is the monthly mortgage payment.
P is the principal
r is the monthly interest rate calculated by dividing your annual interest rate by 12
n is the number of payments(the number of months you will be paying the loan).
In this case, the new principal that Anna must pay back is $231,905.47¢. The annual interest rate has been reduced to 5.17% from 5.75% so the new monthly interest rate will be obtained by dividing the new annual interest rate by 12
= 5.17%/2
= 0.431%
This is the new monthly interest rate.
Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.
300 is therefore "n" that is required for the calculation.
All the terms needed for the calculation of her new monthly mortgage is now complete.
P = $231,905.47¢
r = 0.431%
n = 300
![M = 231,905.47[\frac{0.00431(1+0.00431)^{300} }{(1+0.00431)^{300} -1}]](https://tex.z-dn.net/?f=M%20%3D%20231%2C905.47%5B%5Cfrac%7B0.00431%281%2B0.00431%29%5E%7B300%7D%20%7D%7B%281%2B0.00431%29%5E%7B300%7D%20-1%7D%5D)
![= 231,905.47[\frac{0.00431(3.634)}{2.634}]](https://tex.z-dn.net/?f=%3D%20231%2C905.47%5B%5Cfrac%7B0.00431%283.634%29%7D%7B2.634%7D%5D)
= 231,905.47 × 0.005946
M = $1,378.91¢
Therefore her new monthly mortgage payment will become $1,378.91¢
Answer:
Both the boats will closet together at 2:21:36 pm.
Step-by-step explanation:
Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).
Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),
Formula : d=v*t
at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)
the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)
Formula : D=
⇒ 
Now let 
∵ 
⇒ t= 450/1250
⇒ t= .36 hours
⇒ = 21 min 36 sec
Since F"(t)=0,
∴ This time gives us a minimum.
Thus, The two boats will closet together at 2:21:36 pm.
23 can round to 20 and 21 can also round to 20 so all u do is 20x20=400 so 400 is your estimated answer