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3 years ago

The ordered pairs (1,3), (2,9), (3,27), (4,81), and (5,243) represent a function. What is a rule that represents this function?

Mathematics

1 answer:

weqwewe [10]3 years ago

8 0

The rule is 3^x.

Check: 3^1 = 3; 3^2 = 9; 3^3 = 27 and 3^4 = 81

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Dilbert invests a total of $33 000 in two accounts paying 6% and 10\% interest, respectively. How much was invested in each acco

vladimir1956 [14]

Answer:

In the 6% account, 13,000 was deposited

In the 10% account, 20,000 was deposited

Step-by-step explanation:

Here, we are interested in calculating how much invested in each account

Let the amount invested be $x and $y

Mathematically;

x + y = 33,000 ••••(i)

Now let’s work with interest

6% of x + 10% of y = 2780

6/100 * x + 10/100 * y = 2780

Multiply through by 100

6x + 10y = 278000 •••••••••(ii)

From i, x = 33,000 -y

Put this into ii

6(33,000 -y) + 10y = 278000

198,000-6y + 10y = 278000

4y = 80000

y = 80,000/4 = 20,000

But x = 33,000 -y = 33,000 -20,000 = 13,000

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3 years ago

What is the volume of a sphere having a diameter of 6 cm?

leonid [27]

Answer:

113.1

Step-by-step explanation:

Volume of sphere = $\frac{4}{3}$ × π × r²

Volume of sphere = $\frac{4}{3}$ × π × 3²

Volume of sphere = $\frac{4}{3}$ × π × 9

Volume of sphere = $\frac{4}{3}$ × 9 π

Volume of sphere = 113.1

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3 years ago

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Circumference: <br> Can anyone help me with this?

FinnZ [79.3K]

Answer:

use formula when diameter is given

circumference of circle =πd

and

when radius is given

circumference of circle=2πr

hope this help

6π inch
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3 years ago

Hello can somedy help me please<br> thank you in advance

uysha [10]

Answer:

circumference of the circle=2πr

$2 \times 3.142 \times 0.9 \\5.6556cm$

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3 years ago

What is 1,000,000 written as a power with a base of 10?

seropon [69]

Answer:

101=10 101=1

106=1,000,000 (one million) 10-5=0.00001 (one hundred thousandth)

107=10,000,000 (ten million) 10-6=0.000001 (one millionth)

108=100,000,000 (one hundred million) 10-7=0.0000001 (one ten millionth)

Step-by-step explanation:

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3 years ago

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