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MArishka [77]
2 years ago
7

Henry lives in Mississippi, which has a sales tax of 7%. He just bought a bed whose full price was $1600, but he got 30% off, be

cause the store was having a sale. What was the total amount that Henry paid?
A.) $1120.00
B.) $1198.40
C.) $1934.40
D.) $1712.00
Mathematics
2 answers:
JulsSmile [24]2 years ago
6 0
First find price after sale by 0.7(1600)= 1120 and you find the price with tax by 1120(1.07)= $1198.40 so the answer is B
belka [17]2 years ago
4 0

Answer:

B.) $1198.40

Step-by-step explanation:

Given,

The original price of the bed = $ 1600,

Since, in sale, he got 30 % off,

The price of bed in sale = The original price of the bed - 30 % of the original price of the bed

= 1600 - 30\% \text{ of } 1600

=1600-\frac{30\times 1600}{100}

=1600-\frac{48000}{100}

=1600-480=\$ 1120

Also, there is a sales tax of 7 % ,

Thus, the final price of the bed = The price of bed in sale  + 7 % of the price of bed in sale

=1120+\frac{7\times 1120}{100}

=1120+\frac{7840}{100}

=1120+78.40=\$1198.40

Hence, he paid $ 1198.40.

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Monday    0.3

Tuesday   15% = 0.15

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Clearly, I spent the least amount of time on Friday using IT and the time is 0.125 or 1/8.


7 0
2 years ago
In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014,
DochEvi [55]

Answer:

The mean of C is 170 households

The standard deviation of C, is approximately 5 households

Step-by-step explanation:

The given parameters are;

The percentage of households in the United States that had a computer in 2014 = 85%

The size of the randomly selected sample in 2014, n = 200

The random variable representing the number of households that had a computer = C

Therefore, we have;

The probability of a household having a computer P = 85/100 = 0.85

Let

Therefore;

The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;

μₓ = 200 × 0.85 = 170

The mean of C = μₓ = 170

The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5

Therefore;

The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05

The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)

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Susan and Mark are standing at different places on a beach and watching a bird. The angles of elevation they make are 20º and 50
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A rectangular pool 18 meters by 12 meters is surrounded by a walkway of width x
vesna_86 [32]

Answer:

x=3 meters

Step-by-step explanation:

step 1

Find the area of the rectangular pool

A=LW

we have

L=18\ m\\W=12\ m

substitute

A=18(12)=216\ m^2

step 2

Find the area of rectangular pool including the area of the walkway

Let

x ----> the width of the walkway

we have

L=(18+2x)\ m\\W=(12+2x)\ m

substitute

A=(18+2x)(12+2x)

step 3

Find the area of the walkway

To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway

so

A=(18+2x)(12+2x)-216

step 4

Find the value of x if the area of the walkway equal the area of the pool

so

(18+2x)(12+2x)-216=216

Solve for x

(18+2x)(12+2x)=432\\216+36x+24x+4x^{2}=432\\4x^{2} +60x-216=0

Solve the quadratic equation by graphing

The solution is x=3 meters

see the attached figure

8 0
2 years ago
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