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S_A_V [24]
3 years ago
13

The function

Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

Answer:

a) increase by 4%

b) $ 98.54

Step-by-step explanation:

The given function is

c(x) = 72 \times (1.04) ^{x}

We can rewrite this function as

c(x) = 72 \times (1 + 4\%) ^{x}

Therefore the cost of the chemical increase over time by 4%

b) We want to find how much an ounce of the chemical cost in 2018.

Since 2010 to 2018, 8 years have passed.

We substitute x=8 to get:

f(8) =72 {(1.04)}^{8}

f(8) =98.54

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Which expression simplifies to 4 √13<br><br><br> √208<br><br> √17<br><br> √29<br><br> √52
arsen [322]

Answer:

√208

Step-by-step explanation:

Step 1: Convert 4 to √

4² = 16

4 = √16

Step 2: Multiply radicals

√16(√13) = √208

7 0
3 years ago
Read 2 more answers
Convert 40 ounces into pounds. Round your answer to the nearest tenth.
alex41 [277]

Answer:

Step-by-step explanation:

7 0
2 years ago
Greg earns $14 per hour at his office job, along with a $25 weekly bonus. The following inequality represents his earnings on hi
Neporo4naja [7]

Answer:

Greg worked more than 20 hours.

Step-by-step explanation:

Let's solve the inequality for h so we know how many hours Greg worked:

Step 1. Subtract 25 from both sides of the inequality

14h+25>305

14h+25-25>305-25

14h>280

Step 2. Divide both sides by 14

\frac{14h}{14} >\frac{280}{14}

h>20

We can conclude that Greg worked more than 20 hours.

3 0
3 years ago
Solve for x. 2(2-x) + 12x =44
Nataly [62]

Answer:

2(2-x)+12x=44

4-2x+12x=44

-4             -4

-2x +12x = 40

10x=40

/10   /10

x=4

Step-by-step explanation:

first you multiply the (2-x) by 2, you then subtract the 4 from both sides of the equation, you end up with -2x +12x = 40. Then subtract the 2x from the 12x and you end up with 10x. so now 10x=40. You then divide both sides by 10 and end up with x=10

sorry im not to good at explaining haha

8 0
3 years ago
Maya runs a farm stand that sells raspberries and blueberries. Each pound of raspberries sells for $1 and each pound of blueberr
aniked [119]

30 pounds of raspberries and 50 pounds of blueberries are sold

<em><u>Solution:</u></em>

Let "a" be the pounds of raspberries sold

Let "b" be the pounds of blueberries sold

Cost per pound of raspberry = $ 1

Cost per pound of blue berry = $ 3.25

<em><u>Maya made $192.50 from selling a total of 80 pounds of raspberries and blueberries</u></em>

Therefore,

a + b = 80

a = 80 - b ------- eqn 1

<em><u>Maya made $192.50. Therefore, frame a equation as:</u></em>

pounds of raspberries sold x Cost per pound of raspberry + pounds of blueberries sold x Cost per pound of blue berry = 192.50

a \times 1 + b \times 3.25 = 192.50

a + 3.25b = 192.50 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

80 - b + 3.25b = 192.50

2.25b = 192.50 - 80

2.25b = 112.5

Divide both sides by 2.25

b = 50

<em><u>Substitute b = 50 in eqn 1</u></em>

a = 80 - 50

a = 30

Thus 30 pounds of raspberries and 50 pounds of blueberries are sold

3 0
3 years ago
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