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3 years ago

What is the simplified value of the exponential expression 27 Superscript one-third? 1/3 1/9 3 9

Mathematics

2 answers:

Aleksandr [31]3 years ago

6 0

Answer:

Step-by-step explanation:

$27^{\frac{1}{3} = \sqrt[3]{27}$

∛27 = 3

7nadin3 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

=> $27^{1/3$

=> $\sqrt[3]{27}$

=> $\sqrt[3]{3*3*3}$

=> $\sqrt[3]{3^3}$

=> 3

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suppose you deposit $1000 in a savings account that pays 4.8% interest compounded monthly. Write an exponential function to mode

zubka84 [21]

Answer:

The exponential function is $A(t) = 1000(1.004)^{12t}$ .

You will have $1,100.55 in the account after 2 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.

This means that $P = 1000, r = 0.048, n = 12$ . So

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

$A(t) = 1000(1 + \frac{0.048}{12})^{12t}$

$A(t) = 1000(1 + 0.004)^{12t}$

$A(t) = 1000(1.004)^{12t}$

This is the exponential function

How much will you have in your account after 2 years?

This is A(2). So

$A(2) = 1000(1.004)^{24} = 1100.55$

You will have $1,100.55 in the account after 2 years.

5 0

2 years ago

Half of the tuna sandwich were on white bread. 25% of the ham sandwiches sold were on brown bread.

fgiga [73]

Answer:

The frequency table is shown below.

Step-by-step explanation:

(i) Half of the tuna sandwich were on white bread = 21

On brown bread, tuna = 42 - 21 = 21

(ii) 25% of the ham sandwiches sold were on brown bread.

= 25% (32) = 8

On white bread, 32 - 8 = 24

Frequency table:

Tuna Cheese Ham Total

Brown 21 11 8 40

White 21 15 24 60

Total 42 26 32 100

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3 years ago

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horrorfan [7]

Answer:

Step-by-step explanation:

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Write an equation in standard form of the line that passes through the given point and has the given slope. (5,0) m=4/3

sveticcg [70]

$\text{The standard form of a line:}\ Ax+By=C$

$\text{The point-slope form:}$

$y-y_1=m(x-x_1)$

$\text{We have the point (5, 0) and the slope}\ m=\dfrac{4}{3}$

$\text{substitute:}\\\\y-0=\dfrac{4}{3}(x-5)\qquad|\text{use distributive property}\\\\y=\dfrac{4}{3}x-\dfrac{20}{3}\qquad|\text{multiply both sides by 3}\\\\3y=4x-20\qquad|\text{subtract 4x from both sides}\\\\-4x+3y=-20\qquad|\text{change the signs}\\\\\boxed{4x-3y=20}$

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3 years ago