Eugene took out a loan for $1075 at a 12.6% APR, compounded monthly, to

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

5 0

Answer:

approximately 12 payments.

Step-by-step explanation:

you can pay off the loan in a year by multiplying 87.25 and 12. this will give you 1047, which is about 28$ off. then after that year, you can pay off the $28 whenever you finish with the 87.25

just olya [345]3 years ago

3 0

Answer: 14

Step-by-step explanation: Apex

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What are 2 common mistakes people make when using quotient rule with exponents?

NemiM [27]

Answer:

1. Not accounting for the difference in the base of the exponent when applying the quotient rule.

2. Not subtracting the exponents of the denominator from the exponent of the numerator when applying the quotient rule.

5 0

1 year ago

Which is 196 written as a power of a number?<br><br> A) 98^2<br> B) 13^2<br> C) 49^4<br> D) 14^2

kap26 [50]

Its not A. because , 98^2 = 9,604
Its not B. because , 13^2 = 169
Its for sure not C. because, 49^4 = 5,764,801
It is most likey, D. because 14^2 = 196
Option: D 14^2 would most likely be your answer

Reason , because 14(14) = 196 = 14^2

☺

3 0

3 years ago

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$