<u>Answer-</u>
<em>Maria's monthly payment will be </em><em>$376.91</em><em> </em>
<u>Solution-</u>
Maria is buying a car worth of $18,510, but she will finance only $13,000 of it with a 3-year loan at 2.8% APR.
We know that,
![\text{PV of annuity}=P[\dfrac{1-(1+r)^{-n}}{r}]](https://tex.z-dn.net/?f=%5Ctext%7BPV%20of%20annuity%7D%3DP%5B%5Cdfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%5D)
Here,

Putting the values,
![\Rightarrow 13000=P[\dfrac{1-(1+\frac{2.8}{1200})^{-36}}{\frac{2.8}{1200}}]](https://tex.z-dn.net/?f=%5CRightarrow%2013000%3DP%5B%5Cdfrac%7B1-%281%2B%5Cfrac%7B2.8%7D%7B1200%7D%29%5E%7B-36%7D%7D%7B%5Cfrac%7B2.8%7D%7B1200%7D%7D%5D)



Therefore, her monthly payment will be $376.91
Answer:
The value of v is -17.
Step-by-step explanation:
10-(3v-1)=5(9-v)
10-3v+1=45-v
11-3v=45-v
11-45=3v-v
-34=2v
-34÷2=v
-17=v
Answer:
A: (3,4)
B: (4,3)
C: (2,1)
Step-by-step explanation:
The first number in each coordinate is the x value, which is the number of units you go across starting from the origin
The second number in each coordinate is the y value, which is the number of units you go up starting from the origin
Answer:
106°
Step-by-step explanation:
Given that the points B, C and D are colinear, it means that
2x + 40 = 5x + 10
collecting like terms
40 - 10 = 5x - 2x
3x = 30
x = 10
Hence the angle ∠E
= 5(10) + 10
= 60°
∠BCE = X + 4
= 10 + 4
= 14°
Given that the sum of angles in a triangle is 180°
∠D + 14 + 60 = 180
∠D = 180 - 74
= 106°
Answer:
Option (B) is correct .
The constant of proportionality is 7.5 .
Reason
Let us assume that the number of books be x.
Let us assume that the cost of books be y .
Than

y = kx
Where k is constant of proportionality .
As given
Number of Books 4 6 8
Cost ($) 30 45 60
Thus
when x = 4 , y = 30
Put in the equation y = kx .


k = 7.5
when x = 6 , y = 45
Put in the equation y = kx .


k = 7.5
when x = 8 , y = 60
Put in the equation y = kx .


k = 7.5
Therefore the constant of proportionality is 7.5 i.e option (B) is correct .