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2 years ago

Convert (1/3)^x=27 to logarithmic form, with work worked out!

Mathematics

1 answer:

Sophie [7]2 years ago

6 0

${a}^{x} = m \\ log_{a}(m) = x$

$( \frac{1}{3} )^{x} = 27 \\ log_{ \frac{1}{3} }(27) = x$

That's the logarithmic form. Do you need with solving the equation too?

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F(x)= 1/2x^2-4x+3 in standard form

Finger [1]

Answer:

Already in standard form

Step-by-step explanation:

A quadratic equations standard form is ax^2 + bx + c. This equation is already in standard form.

ax^2 + bx + c

1/2 x^2 - 4x + 3

5 0

2 years ago

A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?

zaharov [31]

After 6 years the investment is $5555.88

Step-by-step explanation:

A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?

The formula used to find future value is:

$A(t)=P(1+\frac{r}{n})^{nt}$

where A(t) = Accumulated amount

P = Principal Amount

r = annual rate

t= time

n= compounding periods per year

We are given:

P = $3600

r = 7.5 %

t = 6

n = 1

Putting values in formula:

$A(t)=P(1+\frac{r}{n})^{nt}\\A(t)=3600(1+\frac{0.075}{1})^{6*1}\\A(t)=3600(\frac{1.075}{1})^6\\A(t)=3600(1.075)^6\\A(t)=3600(1.543)\\A(t)=5555.88$

So, After 6 years the investment is $5555.88

Keywords: Compound Interest formula

Learn more about Compound Interest formula at:

#learnwithBrainly

8 0

3 years ago

Are cracks in rock mechanical or chemical weathering

guajiro [1.7K]

Answer: Chemical weathering
its the breakdown of rocks by chemical reactions that change the rocks' makeup, or composition.

3 0

2 years ago

Part B.<br> What is the volume of each cubic block?

monitta

Answer:

1 / 36 ft³

Step-by-step explanation:

Length = 1/2 ft

Width = 1/6 ft

Height = 1/3 ft

The volume of the tank can be obtained using the relation :

Volume = Length * width * height

Volume = (1/2 * 1/6 * 1/3) ft³

Volume = 1 / 36 ft³

6 0

2 years ago

Which of the following statements are true?

bezimeni [28]

Answer:

A, B, and C are all true.

Step-by-step explanation:

A. 6 is neither a perfect square nor a perfect cube. True

B. 16 is a perfect square. True $4^{2}$

C. 27 is a perfect cube. True $3^{3}$

OD. 1,331 is both a perfect square and a perfect cube. False

E. 9 is a perfect cube. False

6 0

2 years ago