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3 years ago

How did the tempicher change if at first it increased by 5% and then increased by 20 percent

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

3 0

Answer:

Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.

Step-by-step explanation:

Take a number, x.

Now increase it by 5%.

1.05x

Now increase it by 20%.

1.2 * 1.05x = 1.26x

1.26x = 126% of x = 100% of x + 26% of x

100% of x is the same as x, so it is the same as the original x.

The increase is 26% of the original number.

Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.

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A principal of $1800 is invested at 8.5% interest, compounded annually. How much will the investment be worth after 11 years?

posledela

Calc= 1800 times (0.085 ^11)

3 0

3 years ago

The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. The price-demand function, in dolla

Trava [24]

Answer:

Step-by-step explanation:

Let x represent the number of tubs of ice cream that was produced.

The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. This means that the total cost of producing x tubs of ice cream would be

C(x) = 18x + 11610

The price-demand function, in dollars per tub, is p(x)=374-2x.

The revenue function is product of the output by the price function

R(x) = x × p(x) = xp(x)

R(x) = x(374 - 2x) = 374x - 2x²

The profit function P(x) = R(x) - C(x)

Therefore,

P(x) = 374x - 2x² - (18x + 11610)

P(x) = 374x - 2x² - 18x - 11610

P(x) = - 2x² + 374x - 18x - 11610

P(x) = - 2x² + 356x - 11610

At the break even point,

Revenue = total cost.

Therefore,

374x - 2x² = 18x + 11610

2x² + 18x - 374x + 11610 = 0

2x² - 356x + 11610 = 0

Dividing through by 2, it becomes

x² - 178x + 5805 = 0

Applying the general formula for quadratic equations,

x = [- b ±√(b² - 4ac)]/2a

x = [- - 178 ±√(-178² - 4 × 1 × 5805)]/2 × 1

x = [178 ±√(31684 - 23220)]/2

x = [178 ±92]/2

x = (178 + 92)/2 or (178 - 92)/2

x = 135 or x = 43

Therefore, the quantity for the smallest break-even point is 43.

4 0

3 years ago

3 (a - 1) + 31 - 11a = 4 ( 2a + 3)

nikitadnepr [17]

Answer:

-⅖

Step-by-step explanation:

We need to simplify the given equation and find out the value of a , as ,

=> 3(a-1)+31-11a = 4(2a+3)

=> 3a -3+31-11a = 8a + 12

=> -8a -28 = 8a + 12

=> 16a = -28-12

=> 16a = -40

=> a = -2/5

<h3>• Hence the value of a is -⅖ .</h3>

8 0

3 years ago

Read 2 more answers

15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 +5% sales tax what was the t

Artist 52 [7]

Answer:

$478.80

Step-by-step explanation:

We have been given that 15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 plus 5% sales tax.

First of all, we will find cost of each meal with tax as:

$\text{Cost of each meal with tax}=\$12+\$12\times \frac{5}{100}$

$\text{Cost of each meal with tax}=\$12+\$12\times 0.05$

$\text{Cost of each meal with tax}=\$12+\$0.6$

$\text{Cost of each meal with tax}=\$12.6$

Now, we will find total persons at the sport banquet as:

$\text{Total persons at banquet}=15+2+21$

$\text{Total persons at banquet}=38$

To find the total cost of food for the banquet, we will multiply cost of food for each person by 38.

$\text{Total cost of food for the banquet}=\$12.6\times 38$

$\text{Total cost of food for the banquet}=\$478.8$

Therefore, the total cost of food for the banquet is $478.80.

5 0

3 years ago

H-5.3=2.6 solve the equation

Alex

The answer should be H= 7.9

7 0

3 years ago