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2 years ago

The table shows transactions from five different bank accounts.

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

5 0

Answer:

New Account Balance ($)

Acc # Old Acc Balance ($) Trans Amount ($) New Acc Balance ($)

1 352 -48 304

2 432 +80 512

3 75 -100 -25

4 40 52 12

5 -10 -20 -30

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S KM ∥ JN? Why or why not?

bixtya [17]

Given: We have the given figure through which we can see

LK=16,

KJ=10,

LM=24,

MN=15

To Find: Whether KM || JN and the reasoning behind it.

Solution: Yes, KM || JN because $\frac{16}{10}= \frac{24}{15}$

Explanation:

For this solution, we use the concept of Similar Triangles.

Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Now, ∠MLK=∠NLJ

To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN

$LK:KJ=LM:LN\\\\ \frac{LK}{KJ} =\frac{LM}{LN}\\\\\frac{16}{26}= \frac{24}{39}\\\\$

which is true as both sides simplify to $\frac{8}{13}$

Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Therefore, KM || JN.

To come to the reasoning, notice that

$\frac{LK}{LJ} =\frac{LM}{LN}\\\\\frac{LK}{LK+KJ} =\frac{LM}{LM+MN}\\\\\frac{LK+KJ}{LK} =\frac{LM+MN}{LM}\\\\1+\frac{KJ}{LK}=1+ \frac{MN}{LM}\\\\\frac{LK}{KJ} =\frac{LM}{MN}$

In other words, $\frac{16}{10}= \frac{24}{15}$

4 0

3 years ago

Read 2 more answers

Suppose that fanf g are continuous functions,

shtirl [24]

The required result based on given continuous functions is: 207. See the explanation for same below.

<h3>What are continuous functions?</h3>

A continuous function in mathematics is one in which a continuous variation (that is, a change without a jump) of the argument causes a continuous variation of the function's value.

<h3>What is the calculation for the above solution?</h3>

Since G and F are continuous functions,

$\int_{12}^{28}) \, f(x) dx$ = 19

$\int_{12}^{28}) \, f(x) dx$ = 35

Therefore,

$\int_{12}^{28}) \, [K g(x) - 2 f(x)] dx$

= K $\int_{12}^{28}) \, g(x) dx -2 \int_{12}^{28}) \, f(x) dx$

So, given that K = 7, we have

7 x 35 - 2 x 19
= 245 - 38
= 207

Learn more about continuous functions at;
brainly.com/question/18102431
#SPJ1

7 0

1 year ago

The expression f(x) = 12(1.035)* models the monthly growth of membership in the new drama club at a school. According to the fun

olga nikolaevna [1]

Answer:

The monthly growth rate is 3.5%.

Step-by-step explanation:

The exponential growth function is given as follows:

$y=a(1+r)^{x}$

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>x</em> = time taken

The provided expression for the monthly growth of membership in the new drama club at a school is:

$f(x) = 12\cdot(1.035)^{x}$

Comparing this function with the exponential growth function:

$a(1+r)^{x}=12(1.035)^{x}\\\\a(1+r)^{x}=12(1+0.035)^{x}$

Then value of <em>r</em> is 0.035 or 3.5%.

Thus, the monthly growth rate is 3.5%.

7 0

3 years ago

I need help or I’m going to fail math

gavmur [86]

Answer:

1. A

2. B

3. D

Step-by-step explanation:

Use PEMDAS to solve all

8^2 - 6*2

8*8 - 6*2

64 - 12 = 52

4^2 * 3 + 4 * 2

4 * 4 * 3 + 4 * 2

16 * 3 + 8

48 + 8 = 56

9^2 - 2(5+3)

9 * 9 - 2(8)

81 - 16 =65

4 0

2 years ago

Second pictures of my last question

Elanso [62]

Answer:

you really did not give us the full pictuer

Step-by-step explanation:

8 0

3 years ago