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Pachacha [2.7K]
3 years ago
6

Mitchell took out a loan for $1100 at a 19.2% APR, compounded monthly, to

Mathematics
1 answer:
goldenfox [79]3 years ago
4 0

Answer:

C. 18

Step-by-step explanation:

We can find the numbers of payments using following formula

PV = PMT(1- (1+r)^-n)/r

PVr / PMT = 1 - (1+r)^-n

Where

PV = present value = $1,100

PMT = monthly payments = $71.50

r = interest rate = 19.2% / 12 = 1.6%

n = numbers of month = ?

Placing values in the formula

(1+r)^-n = 1 - PVr /PMT

1.016^-n = 1-1100 x 0.016/71.50

1.016^-n = 0.753846154

-n x log 1.016 = log 0.753846154

n = - log 0.753846154 /log 1.016

n = 17.8

n = 18 payments

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Factor Completely:x^2-6x-27
iren [92.7K]

Answer:

\left(x+3\right)\left(x-9\right)

Step-by-step explanation:

6 0
3 years ago
D=a+b+c over ac. If you under stand please help
White raven [17]
You forgot to say what the question actually is ! 

But  I've seen this problem before, in the last few days, here on Brainly. 
I think the problem has three parts:  1). Solve the equation for 'a'; 
2). Solve it for 'b'; and 3). Solve it for 'c'.

I'll slog through that, and I'll try to explain what I'm doing clearly enough
so that eventually, you can do it on your own ... which is really the whole
idea behind this website.

1).  Solve the equation for 'a'.  That means you have to wind up with something
that says      a = everything else.

<u>D = (a + b + c) / c</u>

Split the right side into 3 fractions:      D = a/c + b/c + c/c

But  c/c =1 ,  so the equation says      D = a/c + b/c + 1

Subtract  (b/c +1)  from each side:      D - b/c - 1  =  a/c

Multiply each side by 'c' :                  <em>Dc - b - c  =  a</em>
========================

2).  Solve the equation for 'b'.  That means you have to wind up with something
that says      b = everything else.

<u>D = (a + b + c) / c</u>

Split the right side into 3 fractions:      D = a/c + b/c + c/c

But  c/c =1 ,  so the equation says      D = a/c + b/c + 1

Subtract  (a/c +1)  from each side:      D - a/c - 1  =  b/c

Multiply each side by 'c' :                  <em>Dc - a - c  =  b</em>
==========================

3).  Solve the equation for 'c'.  That means you have to wind up with
something that says      c = everything else.

<u>D = (a + b + c) / c</u>

Split the right side into 3 fractions:      D = a/c + b/c + c/c

But  c/c =1 ,  so the equation says      D = a/c + b/c + 1

Subtract  1  from each side:          D - 1 = a/c + b/c

The two fractions on the right can be added/combined:    D - 1 = (a + b) / c

Multiply each side by  'c' :          c(D - 1) = (a + b)

Divide each side by  (D - 1) :      <em>c  =  (a + b) / (D - 1)</em> 
8 0
3 years ago
Read 2 more answers
There are 60 girls and 45 boys who want to participate in a co-ed basketball tournament. if each team must have the same number
ololo11 [35]

Answer:

15 teams, 4 girls and 3 boys on each team.

Step-by-step explanation:

What's the greatest common multiple of 60 and 45?  It's 15.

This is the greatest number of teams that can be formed.

60/15 = 4; thus, there will be 4 girls on each team.

45/15 = 3; thus, 3 boys on each team

5 0
3 years ago
A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red
noname [10]
There was originally one red marble in the bag because at first the probability was 1 in 5 therefore the other 4 were blue and there was only 1 red
4 0
3 years ago
Which set of numbers can represent the side lengths, in inches, of an acute triangle? 4, 5, 7 5, 7, 8 6, 7, 10 7, 9, 12
Gennadij [26K]

Answer:

Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.

Step-by-step explanation:

Given: Set of numbers.

To find: Set that represent sides of an acute angled traingle.

We use the following result:

When given 3 triangle sides then to determine if the triangle is acute angled , right angled or obtuse angled.

First find Square all 3 sides, then Sum the squares of the 2 shortest sides and then Compare the sum to the square of the last side.

if sum > Square of last side ⇒ it is Acute Triangle

if sum = Square of last side ⇒ it is Right Triangle

if sum < Square of last side ⇒ it is Obtuse Triangle  

a). 4  , 5 , 7

4² = 16 ,  5² = 25 , 7² = 49

16 + 25 = 41

∵ 41 < 49

⇒ It is an Obtuse Traingle.

b). 5 , 7 , 8

5² = 25 , 7² = 49 , 8² = 64

25 + 49 = 74

∵ 74 > 64

⇒ It is an acute Triangle.

c). 6 , 7 , 10

6² = 36 , 7² = 49 , 10² = 100

36 + 49 = 85

∵ 85 < 100

⇒ It is an Obtuse Triangle.

d). 7 , 9 , 12

7² = 49 , 9² = 81 , 12² = 144

49 + 81 = 130

∵ 130 < 144

⇒ It is an Obtuse Triangle.

Therefore, Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.

4 0
3 years ago
Read 2 more answers
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