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3 years ago

Geometry math question no Guessing and Please show work

Mathematics

1 answer:

Mars2501 [29]3 years ago

3 0

Sum of internal angles on same side of transversal =180

8x-14 +2x+54=180

combining like terms

10x=180-40

x=140/10 =14

so x=14 option D

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You deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly, and you make no withdrawals from or

faust18 [17]

Answer:

$5265.71

Step-by-step explanation:

We have been given that you deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly.

We will use future value formula to solve our given problem.

$FV=C_0\times (1+r)^n$ , where,

$C_0=\text{Initial amount}$ ,

r = Rate of return in decimal form,

n = Number of periods.

$4.8\%=\frac{4.8}{100}=0.048$

$n=3\times 4=12$

$FV=\$3,000\times (1+0.048)^{12}$

$FV=\$3,000\times (1.048)^{12}$

$FV=\$3,000\times 1.7552354909370114$

$FV=\$5265.7064\approx \$5265.71$

Therefore, there will be $5265.71 in your account at the end of those 3 years.

8 0

3 years ago

Expand<br> (2x - 3)4 <br><br> Can you help me expand this by using the binomial theorem?

saw5 [17]

The value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

<h3>How to expand the expression?</h3>

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

$(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4$

Evaluate the combination factors.

So, we have:

$(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4$

Evaluate the exponents and the products

$(2x -3)^4 = 16x^4 + 96x^3 +216x^2 -216x + 81$

Hence, the value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

Read more about binomial expansions at:

brainly.com/question/13602562

#SPJ1

8 0

1 year ago