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3 years ago

Find the value of x for whichЗ(2^x-3) = 384

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

8 0

Answer:

x=log2(131)

Step-by-step explanation:

3(2^x-3)=384

x=7.03342

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6^2-3^4 divided by 3^4

DerKrebs [107]

Answer:

Step-by-step explanation:

6^2 - 3^4 / 3^4

Evaluate The Power

36 - 3^4 / 3^4

Any Expression Divided By Itself Is 1

36 -1

Subtract

6 0

3 years ago

$1400 from fund-raisers in a 18-month CD paying 3.7%

saw5 [17]

Answer:

The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.

Step-by-step explanation:

1. Let's review the data given to us for answering the question:

Amount invested in the Certificate of Deposit = US$ 1,400

Duration of the CD = 18 months

Interest rate = 3.7% compounded monthly

2. Let's find the future value of the Certificate of Deposit after 18 months, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Amount invested = US$ 1,400

number of periods (n) = 18

rate (r) = 3.7% = 0.037 annually or 0.003083 monthly

Replacing with the real values, we have:

FV = 1,400 * (1 + 0.003083) ¹⁸

FV = 1,400 * (1.003083) ¹⁸

FV = 1,400 * 1.056978

FV = US$ 1,479.77 (Rounding to the nearest cent)

The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.

8 0

3 years ago

(01.06) Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 3x − 3 The function g

Damm [24]

Answer:

<h2>They both have the same slope</h2>

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

This shows that both functions have the same slope.

3 0

3 years ago

Which table of values will generate this graph? On a coordinate plane, points are at (negative 2, 0), (0, 1), (0, negative 4), a

zhuklara [117]

Answer:

Option D.

Step-by-step explanation:

The given points are (-2,0), (0,1), (0,-4) and (3,0).

In each ordered pair first element is x-coordinate and second is y-coordinate.

For 4 points, the table must have 2 columns and 4 rows.

So, the required table of values is

x y

-2 0

0 -4

0 1

3 0

Therefore, the correct option is D.

5 0

3 years ago

Read 2 more answers

3. Name three colinear points?

Alex787 [66]

Answer:

ABC

Step-by-step explanation:

They are on the same line.

4 0

3 years ago

Find the value of x for whichЗ(2^x-3) = 384​

Find the value of x for whichЗ(2^x-3) = 384