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torisob [31]
3 years ago
10

What is the value of es026-1.jpg?

Mathematics
1 answer:
Kay [80]3 years ago
4 0

Answer:

Value of [(\frac{2}{3}) ^0]^{-3} is, 1

Step-by-step explanation:

To find the value of [(\frac{2}{3})^0]^{-3}

Using exponents power rule:

(a^m)^n = a^{mn}

then;

(\frac{2}{3})^{0 \cdot (-3)}

Simplify:

(\frac{2}{3})^{0}

By Zero exponent rule: Anything raised to the power 0 is 1. i.e,

a^0 = 1

then;

(\frac{2}{3})^{0} = 1

Therefore, the value of [(\frac{2}{3}) ^0]^{-3} is, 1


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The compound interest formula is A = P(1 + ) where P is the principal, A is the ending amount, r is the annual interest rate, m
Naddika [18.5K]

This shows that Billy will have $12, 168.25 after 12 years

<h3>Compound interest</h3>

The formula for calculating the compound interest is expressed as:

  • A = P(1+r/n)^{nt}

From the information given, the amount is expressed as;

A = 8000(1+0.035/12)^{12(12)}\\A= |\$12,168.25

This shows that Billy will have $12, 168.25 after 12 years

Learn more on compound interest here: brainly.com/question/24924853

7 0
3 years ago
The length of a rectangular garden is 6 more than its width. If the perimeter is 32 feet, what is the width and the area of the
PolarNik [594]

Answer:

{\fbox{ \sf{Width \: of \: a \: rectangular \: garden \:  = 5 \: feet}}}

\boxed{ \sf{ \: Area \: of \: a \: rectangular \: garden = 55 {ft}^{2}}}

Step-by-step explanation:

\star Let the width of a rectangular garden be 'w'

\star Length of a rectangular garden = 6 + w

\star Perimeter of a rectangular garden = 32 feet

<u>\longrightarrow</u><u> </u><u>Finding </u><u>the</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectangular</u><u> </u><u>garden</u> :

\boxed{ \sf{ \: Perimeter \: of \: a \: rectangle \:  =  \: 2(length + width}}

\mapsto{ \text{32 = 2(6 + w + w)}}

\text{Step \: 1 \:  : Collect \: like \: terms}

Like terms are those which have the same base

\mapsto{ \text{32 = 2(6 + 2w) }}

\text{Step \: 2 \:  : Distribute \: 2 \: through \: the \: parentheses}

\mapsto{ \text{32 = 12 + 4w}}

\text{Step \: 3 \:  : Swap \: the \: sides \: of \: the \: equation}

\mapsto{ \text{4w + 12 = 32}}

\text{Step \: 4 \:  : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}

\mapsto{ \text{4w = 32 - 12}}

\text{Step \: 5 \:  : Subtract \: 12 \: from \: 32}

\mapsto{ \sf{4w = 20}}

\text{Step \: 6 \:  : Divide \: both \: sides \: by \: 4}

\mapsto{ \sf{ \frac{4w}{4}  =  \frac{20}{4}}}

\text{Step \: 7 \:  : Calculate}

\mapsto{ \text{w = 5}}

Width of a rectangular garden = 5 feet

\longrightarrow <u>Substituting </u><u>/</u><u> </u><u>Replacing </u><u>the </u><u>value </u><u>of </u><u>w </u><u>in </u><u>6</u><u> </u><u>+</u><u> </u><u>w </u><u>in </u><u>order </u><u>to </u><u>find</u><u> </u><u>the</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectangular </u><u>garden</u>

\mapsto{ \sf{Length = 6 + w = 6 + 5 =  \bold{11 \: feet} }}

\longrightarrow <u>Finding</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectangular</u><u> </u><u>garden</u><u> </u><u>having</u> <u>length of 11 feet and</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>5</u><u> </u><u>feet</u> :

\boxed{ \sf{Area \: of \: a \: rectangle = length \:∗ \:  width}}

\mapsto{ \text{Area \:  =  \: 11 \: ∗ \:   5}}

\mapsto{ \sf{Area \:  = 55 \:  {ft}^{2} }}

Area of a rectangular garden = 55 ft²

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

6 0
3 years ago
Write an addition expression and a subtraction expression, each with a value of 2.4 X 10 the power of negative 3.
Zolol [24]

Okay so first figure out what 2.4 times 10 with the power of negative 3 is.

2.4 times 10 is 24 and 24 to the power of 3 is 13,824

so an addition problem could be 5,986+7,838= 13,824

then you could do for a subtraction problem 23,789- 9,965 = 13,824

I hope this helped you. (;

5 0
3 years ago
Lynn can type 1,650 words in 30 minutes. <br> What is her typing rate, in words per minute?
Marianna [84]
55 words per minute

1650/30 = 55
7 0
3 years ago
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Terry practices the same amount of time each day for his soccer tryouts. In 4 days, he has practiced for 360 minutes. Let x repr
n200080 [17]

Answer:

90

Step-by-step explanation:

390 ( 40; 6 )

7 0
2 years ago
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