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2 years ago

7

Chet buys a new pair of dress shoes for work. The shoes cost $90 without sales tax. If the sales tax rate is 6.5%, how much will

Chet owe the store for his new shoes?

1 answer:

Musya8 [376]2 years ago

3 0

Answer:

$95.85

Step-by-step explanation:

Net Amount (excluding tax) $90.00

Tax (6.5%) $5.85

Gross Amount (including tax) $95.85

Hope this helped! lmk if you need help on something else!

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The 173 workers at a factory together produce 21, 452 items per day. What is the daily rate of items per worker?

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2 years ago

Possible solution for 4+x+2-2x=5

MrRissso [65]

Answer:

x=1

Step-by-step explanation:

For algebra always start by rewriting it.

4+x+2-2x=5

Then ask yourself is there any like terms we can combine, and here yes there is. 4 and 2 and x and -2x. Now lets combine them and rewrite.

6-x=5

Now lets get x alone and the quickest way is to subtract 6 to the other side

6-x=5

-6 -6

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Your answer is

x=1

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2 years ago

Given a cylinder with a radius of 6 cm and a height of 12 cm, find the volume of the cylinder. Use 3.14 for \pi

sergey [27]

Answer:

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2 years ago

The first term of a geometric sequence is 6 and the fourth term is 384. What is the sum of the first 10 terms of the correspondi

aleksandrvk [35]

Answer:

2097150

Step-by-step explanation:

<u>GIVEN :-</u>

First term of G.P. = 6
Forth term of G.P. = 384

<u>TO FIND :-</u>

Sum of first 10 terms of the G.P.

<u>CONCEPT TO BE USED IN THIS QUESTION :-</u>

<em>Geometric Progression :-</em>

It's a sequence in which the successive terms have same ratio.

General form of a G.P. ⇒ a , ar , ar² , ar³ , ....... [where a = first term ; r = common ratio between successive terms]

Sum of 'n' terms of a G.P. ⇒ $\frac{a(r^n - 1)}{r-1}$ .

<em>[NOTE :- </em> $\frac{a(1-r^n)}{1-r}$ can also be the<em> formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator & denominator from which the negative sign will get cancelled from the numerator & denominator. </em><em>YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.</em><em>]</em>

<u>SOLUTION :-</u>

Let the first term of the G.P. given in the question be 'a' and the common ratio between successive terms be 'r'.

⇒ a = 6

It's given that <u>forth term</u> is 384. So from "General form of G.P." , it can be stated that :-

$=> ar^3 = 384$

$=> 6r^3 = 384$

Divide both the sides by 6.

$=> \frac{6r^3}{6} = \frac{384}{6}$

$=> r^3 = 64$

$=> r = \sqrt[3]{64} = 4$

Sum of first 10 terms $= \frac{6(4^{10}-1)}{4 - 1}$

$= \frac{6(1048576 - 1)}{3}$

$= 2 \times 1048575$

$= 2097150$

6 0

2 years ago