Sue stitch buys a sewing machine. the price, including tax, is $575.00. she finances the sewing machine over 24 months after making a $25 down payment. the true annual interest rate is 15%. what are sue's monthly payments (principal plus interest)?

to the nearest penny, c = $

total of payments = amount financed + c = $

total of payments ÷ number of payments = monthly payment = $

c = $85.94

Total payment = $635.94

Total payment ÷ Number of payment = $26.5.

Step-by-step explanation:

We are given that,

The tax on the machine = $575 with down payment = $25. Also, the rate of interest = 15% i.e. 0.15 and time period = 24 months.

Now, the principal amount = tax - down payment = $575 - $25 = $550.

Then, the monthly payment by the annuity formula is given by,

i.e.

i.e.

i.e.

i.e.

i.e.

Hence, c = $85.94

Thus, total payment = amount financed + c = $550 + $85.94 = $635.94.

So, Total payment ÷ Number of payment = = $26.5.

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°