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Tatiana [17]
2 years ago
9

7. Ella and her family normally pay $165 per

Mathematics
1 answer:
Anna [14]2 years ago
4 0

Answer:

$99

Step-by-step explanation:

Cost of electricity per year= $165

Tax per month= 5%

Amount of tax paid per month= 5% of $165

= 0.05 × 165

= $8.25

Ella's family pays $8.25 tax per month

There are 12 months in 1 year

Ella's family will pay Ina year = $8.25 × 12

= $99

Ella's family will pay $99 tax for an entire year

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A baby wriggled so much that weighing him at the clinic was a problem. So the doctor held the baby and stood on a scale. Then th
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X = <span>weight of the baby.
y = </span>weight of the doctor.
z = weight of the nurse.

x + y = 78 so y = 78 - x
x + z = 69 so z = 69 - x
x + y + z = 142

substitute y = 78 - x and z = 69 - x into x + y + z = 142

x + y + z = 142
x +78 - x + 69 - x = 142
-x + 147 = 142
-x = - 5
 x = 5

answer

<span>the weight of the baby was 5 kg</span>
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2 years ago
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Let $f(x) = x^{10}-8x^8-8x^3+12x^2-5x-5$. Without using long division (which would be horribly nasty!), find the remainder when
valentina_108 [34]

Solution:

f(x) = x^{10}-8x^8-8x^3+12x^2-5x-5

We have to find the remainder when f(x) is divided by x^2-1.

x²-1=0

x=\pm1

f(1)=1^{10}-8(1)^8-8(1)^3+12(1)^2-5(1)-5=1-8-8+12-5-5=1-16+12-10=13-26=-13\\\\f(-1)=(-1)^{10}-8(-1)^8-8(-1)^3+12(-1)^2-5(-1)-5=1-8+8+12+5-5=1+12=13

So, remainder is 13 and -13.

5 0
2 years ago
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A fish tank is three-quarters (3/4) full. two-thirds (2/3) of the water leaks out, leaving 10 gallons of water in the tank. what
Naily [24]

To solve this problem, all we have to do is to thoroughly analyze the situation step by step.

First let us work on the remaining 10 gallons of water in the tank. We are given that 2 / 3 of the water initially in the tank leaked out. Therefore this means that we are left with 1 / 3 the original amount of water which is 10 gallons, hence:

(1 / 3) Vi = 10 gallons

where Vi is the initial volume of water inside the tank, calculating for Vi:

Vi = 3 (10 gallons)

Vi = 30 gallons

 

We are also given that this initial volume of water is just 3 / 4 of the total capacity of the tank, therefore:

(3 / 4) Vc = Vi

where Vc is the volume capacity of the tank, calculating for Vc:

Vc = 4 Vi / 3

Vc = 4 (30 gallons) / 3

Vc = 40 gallons

 

Answer:

<span>Capacity of the fish tank is 40 gallons</span>

3 0
2 years ago
Kim's business earns $10,000 per month. Kim's non-employee expenses are $3,000 per month. If Kim wants $2,000 in profit per mont
MA_775_DIABLO [31]

Answer:

Kim's business earns $10,000 per month.

Kim's non-employee expenses are $3,000 per month.

If Kim wants $2,000 in profit per month, then the maximum amount Kim can spend for employee:

10000 - 3000 - 2000 =5000

If each employee costs $1,000 per month, Kim can recruit 5000/1000 = 5 as the maximum number of employees.

Hope this helps

:)

8 0
2 years ago
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Raymond works in an electronics store and gets a 12 percent employee discount. The original cost of a video game system is $175.
gogolik [260]

Answer:

$154.00 i think its this

Step-by-step explanation:

8 0
2 years ago
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