The chart below shows the number of cakes Jenny bakes each month.What is the mean number of cakes Jenny bakes in a month?

Answers

Answer 1
Answer: Since you didn't put any chart above, then I'll just give an idea on how to find the mean. You simply compute for the sum of the cakes Jenny bakes each month. Then, you proceed to dividing the number of cakes by the number of months indicated in the chart. You should have the mean by now.
Answer 2
Answer:

Answer: 480

Step-by-step explanation:

460 was in August

320 was in September

440 was in October

560was in November

620 was in December

Add all together: 460+320+440+560+620=2400

2400:5(five months)=480


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Marc is looking at the plans for his new garage. the length of the garage is 8 metres. the scale on the drawing is 1:50. what will the length of the garage be on the drawing?

Answers

The answer is 16 cm (or 0.16 m).

The scale is the ratio of the model to the real thing.
So, in the scale 1:50, the model is 1, while the real thing is 50.
Now, just make a proportion:
the model : the real thing = the model dimension : the real thing dimension
        1         :          50         =                   x                 :                    8m

From here:
x = 8m * 1 / 50 = 0.16 m = 0.16 * 100 cm = 16 cm.

Given the equations y = x2 - 4x - 5 and y + x = -1, one point that satisfies both equations is

Answers

\left \{ {{y=x^2-4x-5} \atop {y+x=-1}} \right. \n \n \left \{ {{y=x^2-4x-5} \atop {y=-1-x}} \right. \n\n \n x^2-4x-5=-1-x\n \n x^2-3x-4=0\n \n \Delta=(-3)^2-4.1.(-4)=9+15=25\n \n x=(3 \pm5)/(2)\n \n x_1=-1 \rightarrow y=-1+1=0\n \n x_2=4 \rightarrow y=-1-4=-5

We found 2 points that satisfies both equations  (4,-5) and (-1,0)

Find the balance in the account.$2,400 principal earning 2%, compounded annually, after 7 years

$307,200.00
$2,736.00
$2,756.85
$17,136.00

Answers

This can be solved using the formula for interest, which is the following:

Let:
F = Future value
P = Principal value
i = interest rate
n = interest period (n = 7)

F = P(1 + i)^n

Using the given values:

F = 2400(1 + 0.02)^7
F = 2756.8456

Therefore, the balance in the account would be $2756.85

If a goat is reduced by 19% in a sale to £25.92, find the original price

Answers

Answer:

32 dollars

Step-by-step explanation:

Given that selling price of a goat after reduced by 19% is 25.92.

We have to find the original price of the goat.

Let original price = 100

Reduced %          =  19

Selling price         = 81

81 dollars is equivalent to selling price of 25.92 $

100 dollars is equivalent to selling price of 100(25.92)/81 = 32 $

Maximum or Minimum. Domain and range of
y=x^2-4x+4

Answers

y=x^2-4x+4\n\na=1;\ b=-4;\ c=4\n\na > 0\ then\ minimum:\n\n(-b)/(2a)=(-(-4))/(2\cdot1)=(4)/(2)=2\n\ny_(min)=2^2-4\cdot2+4=4-8+4=0\n\n\ndomain:x\in\mathbb{R}\n\n\nrange:y\in\left<0;\ \infty\right)

Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

Answers

f(x)= -99.4x + 198.8

f(1) = -99.4*1 + 198.8 = 99.4

f(2) = -99.4*2 + 198.8 = 0

f(3) = -99.4*3 + 198.8 = -99.4

f(4) = -99.4*4 + 198.8 = -198.8

Answer: B

f(n+1)=f(n)-99.4, n   1

Step-by-step explanation:

The recursive formula can be written using the common difference.