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natali 33 [55]
3 years ago
11

Perform the indicated operation. Simplify the result in factored form.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0

Answer:

\frac{3(a - 7)}{4x(a - 4)}

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My cousin borrowed $15,000 for a new car loan for 5 years. He told me that at the end of the loan, he had paid $21,000 for the i
Umnica [9.8K]
To solve this problem we are going to use the simple interest formula: A=P(1+rt)
where
A is the sum of the <span>interest and the principal
</span>P is the principal
r is the interest rate in decimal form 
t is the time in years
<span>
We know for our problem that </span>A=21000, P=15000, and t=5. Now, let x represents our interest rate. To express the interest rate in decimal form, we are going to divide the rate by 100%:
r= \frac{x}{100}
r=0.01.
Now that we have all the values we need, lets replace them in our simple interest formula to find the interest rate:
A=P(1+rt)
21000=15000[1+(0.01x)(5)]
\frac{21000}{15000} =1+0.05x
1+0.05x=1.4
0.05x=0.4
x= \frac{0.4}{0.05}
x=8

We can conclude that the interest rate of your cousin's loan was 8%.

4 0
3 years ago
Read 2 more answers
On a coordinate plane, a right triangle has points A (negative 5, negative 6), B (negative 5, negative 2), C (negative 2, negati
weqwewe [10]

The rise and run that would give us a similar right triangle on the same given line is: B. a rise of 8 and a run of 6.

<h3>What is the Rise and Run of Points on the Same Line?</h3>

The rise/run of any two points on the same line are have the same slope value.

Given the coordinates:

  • A(-5, -6)
  • B(-5, -2)

The rise of triangle ABC = change in y = 4 units

The run of triangle ABC = change in x = 3 units

Rise/run = 4/3

Therefore, a rise of 8 and a run of  6 would give us: 8/6 = 4/3.

This will give us a triangle similar to triangle ABC.

Therefore, the answer is: B. a rise of 8 and a run of 6.

Learn more about the rise and run of a line on:

brainly.com/question/14043850

#SPJ1

4 0
2 years ago
Help plz I need help!!!!!!!!!!!! Plz????!!!!!!!
olchik [2.2K]
Iddentity add
c+0=c

identiy mulitply
22b x 1 = 22b

multiplicative 0
40286 x 0=0

commuative
x+z=z+x

commutative multiply
k x 6=6 x k

associative add
(1+3)+9=1+(3+9)

assoative multiply
(w x h) x l=w x (h x l)
4 0
3 years ago
Given: sin x = 7/25, cos x = 24/25, and tan x = 7/25. Find sin 2x
Dovator [93]

It is given \sin{x} = \frac{7}{25} and \cos{x} = \frac{24}{25}

And we know that \sin{2x} = 2 \sin{x} \cos{x}

Then \sin{2x} = 2 \cdot \frac{7}{25} \cdot \frac{24}{25} = \frac{2 \cdot 7 \cdot 24}{25 \cdot 25} = \frac{336}{625}

7 0
3 years ago
Rewrite as a positive exponent 5 – 2
Vadim26 [7]
To express
5
−
2
as a positive exponent we will use this rule of exponents:
x
a
=
1
x
−
a
5
−
2
=
1
5
−
−
2
=
1
5
2
5 0
3 years ago
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