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3 years ago

. A jacket costs $50. The sales tax is 7%. How much tax will you pay? i neeed this fast pls

Mathematics

1 answer:

Dahasolnce [82]3 years ago

8 0

Answer:

You will pay $3.50 tax

Step-by-step explanation:

$50 * 7% =

$50 *0.07 =

$3.50

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What are the solutions to the equation 3(x – 4)(x + 5) = 0?

iris [78.8K]

Answer:

x=4 and x= - 5

Step-by-step explanation:

In order to solve this we should re-arrange the equation:

$(x-4)(x+5)=\frac{0}{3}$

This is equal to:

$(x-4)(x+5)=0$

Then we can seperate this into:

$(x-4)=0\\(x+5)=0$

So solving for x in both cases we get

$x-4=0 \\x=4\\And\\x+5=0\\x=-5\\$

4 0

3 years ago

Find an explicit form f(n) for each of the following arithmetic sequences (assume a is some real number and x is

Xelga [282]

Answer:

The explicit form f(n) is $a_{n} = a +(n-1)(a+1)$

Step-by-step explanation:

A sequence is arithmetic if the difference between each consecutive terms is a constant.

The explicit formula of an arithmetic sequence is:

$a_{n}=a_{1}+(n-1)d$

Where d is the common difference, a1 is the first term of the sequence and an is the nth term.

In order to obtain the common difference, you have to subtract two consecutive terms:

For the first and second terms:

2a+1 - a = a+1

For the second and third terms:

3a+2 - (2a+1)=

Applying the distributive property:

3a+2-2a-1= a+1

Notice that the difference of any two consecutive terms is the same. Therefore:

d=a+1

Also, a1=a (The first term)

Replacing in the explicit formula:

$a_{n} = a +(n-1)(a+1)$

4 0

4 years ago

An airline experiences a no-show rate of 6%. What is the maximum number of reservations that it could accept for a flight with a

sasho [114]

Answer:

Step-by-step explanation:

Use the normal approximation to the binomial distribution

mean µ = np

standard deviation σ = √npq

Where,

n is sample size

p is probability of success.

q is probability of failure

Given that

q = 6% =0.06

Then, p = 1-q = 1-0.06 = 0.94

Therefore:

µ = pn

µ = 0.94n

Also

σ = √npq

σ = √(n)(0.94)(0.06)

σ = √(.0564n)

Using z-scores:

z = (x — µ )/σ

Using the data above

1.645 = (160 — 0.94n)/√(0.0564n)

Cross multiply

1.645√0.0564n = 160—0.94n

Square both sides

1.645²× 0.0564n = (160-0.94n)

0.153n=25600— 300.8n + 0.8836n²

0.8836n²-300.8n-0.153n +25600=0

0.8836n² — 300.953n + 25600 = 0

Using quadratic formula method.

a = 0.8836 b = -300.953 c = 25600

n = [-b±√(b²-4ac)]/2a

n = [--300.953±√((-300.953)²-4×0.8836×25600)] / (2 × 0.8836)

n = [300.953±√(92.07)]/1.7672

n = (300.953±9.6)/1.762

n = (300.953-9.6)/1.762

n = 168.22

n = (300953+9.6)/1.762

n = 176.25

The maximum number of reservation is approximately 168.

6 0

4 years ago

What is 2/3+x=-5/2-5/6

yuradex [85]

First get common denominators 2/3+x=-15/6-5/6
second simplify 2/3+x=-20/6
third get x alone x=-20/6-4/6
fourth simplify and reduce x=-24/6 x=-4

6 0

3 years ago

Read 2 more answers

-2 < 3x -5 ≤ 4 pls help

tia_tia [17]

Answer:

$1$

Step-by-step explanation:

$-2$

$-21$

$3x-5\leq 4 : x\leq 3$

$x>1\quad \mathrm{and}\quad \:x\le \:3$

$1$

Hope this helps!

All the love, Ya boi Fraser

6 0

3 years ago

Read 2 more answers