Answer:
-9
Step-by-step explanation:
9=b-2b
9=-b
divide both sides by -
b=-9
Answer:
17.) 12
18.) 1/15
Step-by-step explanation:
2 ÷ 
This problem is asking how many
's can go into 2 blocks. If you divide one box into 6 parts, each tiny box will be
of the whole. Divide the other box into 6 parts as well, and you will get 12 of these
parts. Check your answer by multiplying 12 by
. The answer is
which is also equal to 2.
÷ 5
For this one, think of it as we have one big box divided into thirds. We want to divide each
portion by 5. So you should have 5 tiny boxes in each
which gives you a total of 15 boxes. But if we look at it as one big box divided into 15 parts, we know that each of those is
. Check your answer by multiplying
by 5 and you get
which is equal to
.
Let me know if you have any questions, and good luck!
4232 divided by 18 equals 235.1
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¢
Undefined and Undefined
Since the equation is x = 4, there is no y-intercept as x will never equal 0.
Additionally, since the equation is x = 4, there is no change in x value and as such the slope can not be determined.