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3 years ago

Calculate 6¾% tax on $2,305 a.$15.56 b.$145,22 c.$146,14 d.$155,59.

1 answer:

4 0

Hello! 6 3/4 is equivalent to 6.75. So basically, you would be paying 6.75% tax. To find the amount of tax, multiply the price by the percentage rate. 2,305 * 6.75% (0.0675) is 155.5875 or 155.59 when rounded to the nearest hundredth. You would pay $155.59 in tax. The answer is D.

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Simplify and express the result in power notation with positive exponent

Molodets [167]

Answer:

3²

Step-by-step explanation:

Given expression:

$\sf (3^{-3} \div 3^{-10}) \times 3^{-5}$

Following the order of operations, carry out the calculations inside the parentheses first.

$\textsf{Apply the quotient exponent rule} \quad a^b \div a^c=a^{b-c}:$

$\implies \sf 3^{-3-(-10)} \times 3^{-5}$

$\implies \sf 3^{-3+10} \times 3^{-5}$

$\implies \sf 3^{7} \times 3^{-5}$

$\textsf{Apply the product exponent rule} \quad a^b \times a^c=a^{b+c}:$

$\sf \implies 3^{7+(-5)}$

$\sf \implies 3^{7-5}$

$\sf \implies 3^2$

Learn more about exponent rules here:

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4 0

1 year ago

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Write the equation of the line that passes through (−3, 5) and (2, 10) in slope-intercept form

BigorU [14]

Slope = (10 -5)/(2+3) = 5/5=1

y = mx + b
5 = 1(-3) + b
b =8

so equation y = x +8

answer: y = x + 8(first choice)

8 0

3 years ago

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Liliana use for dark power crystals to raise 14 zombie soldiers she wants to know how many zombie soldiers Z she can race with 1

laiz [17]

Answer:

140 zombies

Step-by-step explanation:

Since this is a proportions problem and we are given three values and a variable we must solve for which is the number of zombie soldiers she can raise (z) with 10 dark power crystals. Therefore, we can use the rule of three to solve for this, in which we multiply the diagonal values and divide by the last remaining value in order to solve for the variable like so...

1 crystal <===> 14 zombies

10 crystals <===> Z zombies

(10 * 14) / 1 = 140 zombies

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2 years ago

What is the volume of the following rectangular prism? 21/2 units 8/3 units

xeze [42]

Answer:

28 units³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Al ( A is the area of end face and l is the length )