Mortgage loan of $46,000.00. Interest rate is 5 percent.
Monthly payment is $269.10.
How much of the first monthly payment is for interest?

$191.67

Step-by-step explanation:

When paying back mortgages, the monthly payment has two components: an interest payment component and a principal repayment component.

The interest payment component is based on the total amount of debt still to be paid at the time and the principal repayment component is the rest of the payment after the interest has been deducted.

This interest is in a yearly rate so should be combined to a monthly rate as the payments are monthly:

= 5% / 12

= 5/12%

Interest = Mortgage remaining * interest rate

= 46,000 *  5/12%

= $191.67

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)