Rena used the steps below to evaluate the

19. The marked price of an oven is 30% above its cost. In a sale, it is

yaroslaw [1]

a) Marked price: $884, Cost: $680

b) 2.5 %

Step-by-step explanation:

a)

Let's call:

P = marked price of the oven

C = cost of the oven

We know that:

- The marked price of the oven is 30% above the cost, which means

$P=(1+\frac{30}{100})C=1.30C$ (1)

- In the sale, the oven is sold at a discount of 25% on its marked price; so the price of the sale is (we call it S)

$S=(1-\frac{25}{100})P=0.75P$ (2)

- We also know that the discount, which is the difference between the makerd price (P) and the discounted price (S) is

$P-S=\$221$ (3)

Substituting (2) into (3) we find marked price

$P-0.75P=\$221\\0.25P=\$221\\P=\frac{221}{0.25}=\$884$

Therefore, the cost of the oven is (from eq(1)):

$C=\frac{P}{1.30}=\frac{884}{1.30}=\$680$

b)

The percentage loss in this situation is given by the difference between cost of the oven and the final price at which the oven is sold.

In this case, we have:

C = $680 (cost of the oven)

The discounted prices is S, and can be f ound using eq(3):

$S=P-221=884-221=\$663$

Therefore, the oven costs 680$ but it is sold at 663$.

Therefore, we can calculate the percentage loss using the equation:

$Loss=\frac{C-S}{C}\cdot 100 = \frac{680-663}{680}\cdot 100 =0.025\cdot 100 = 2.5\%$

So, a percentage loss of 2.5%.

4 0

3 years ago

What is the equation, in point-slope form, for a line that goes through (2,-6) and has a slope of -3/4

ollegr [7]

Answer:

y+6=-3/4(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=-3/4(x-2)

y+6=-3/4(x-2)

7 0

4 years ago

My basketball team plays four games per week. During the first four weeks, we lost all 16 of our games. During week 5, we won th

riadik2000 [5.3K]

Answer:

You need 30 total weeks to win at least 65% games

Step-by-step explanation:

Team have played = 20 games

Number of winning games = 3

Let x represents the number of additional weeks.

You have won 3 games per week. Therefore you will win 3x additional games.

We know that 65% = 0.65

Therefore,

3+3x/20+4x = 0.65

By cross multiplication:

3+3x= 0.65(20+4x)

3+3x = 13+2.6x

Combine the like terms:

3x-2.6x = 13-3

0.4x=10

4x/10 =10

4x = 10*10

4x=100

Divide both sides by 4

4x/4 = 100/4

x = 25

since you have already played 5 weeks...you need to play 25+5 = 30 weeks.

Therefore you need 30 total weeks to win at least 65% games....

4 0

3 years ago

Find the common ratio for the following sequence. Type a numerical answer in the space provided. If necessary, use the

VashaNatasha [74]

Answer:

-1

Step-by-step explanation:

the common ratio in this geometric series is -1

6 0

4 years ago

28.5 g of iron shot is added to a graduated cylinder containing 45.50 mL of water. the water level rises to the 49.10 mL mark. F

Alika [10]

Density=mass/volume.
1) we have to calculate the iron volume in liters.
iron volume=second level - first level=49.10 ml-45.50 ml=3.6 ml
3.6 ml=3.6 ml(1 liter / 1000 ml)=0.0036 liters

2) we calculate the mass iron in kg.
28.5 g=28.5 g(1 kg /1000 g)=0.0285 kg.
2) we calculate the density of iron.
density=0.0285 kg / 0.0036 liters=7.92 kg/L

7.92 kg/l=7.92 kg/L(1000 g/1Kg)(1000 cm³/1 L)=7.92 g/cm³.

answer: From this information the Iron density is 7.92 Kg/L or 7.92 g/cm³.

5 0

4 years ago