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NeX [460]
2 years ago
9

What is the final amount if 457 is decreased by 1% followed by a further 3% decrease? Give your answer rounded to 2 DP.

Mathematics
1 answer:
kaheart [24]2 years ago
4 0

Answer:

438.86

Step-by-step explanation:

1. 457 x 0.99 = 452.43 - Decreased by 1%

2. We need to decrease 452.43 again but this time by 3% - 452.43 x 0.97

3. This gives us an answer of 438.8571

4. Finally we need to round this to 2DP, the 7 (438.8571) rounds up so the number to the left increases. This leaves an answer of 438.86

Hope this helps :D

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Which shows the factored form of x2 – 12x – 45?
Oxana [17]
Hi!

(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45

x² = x²
xa+xb = (a+b)x = -12x ⇒ (a+b) = -12
ab = -45

When (a+b) = -12 and ab = -45?

+3-15 = -12 and (+3)(-15) = -45 
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45

Answer:

(x+3)(x-15) 



6 0
2 years ago
Read 2 more answers
The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?
PtichkaEL [24]

Answer:

\left(y-8\right)

Step-by-step explanation:

y^2-10y+16

=\left(y^2-2y\right)+\left(-8y+16\right)

y^2-2y

=yy-2y

=y\left(y-2\right)

-8y+16

=-8y+8\cdot \:2

=-8\left(y-2\right)

=y\left(y-2\right)-8\left(y-2\right)

=\left(y-2\right)\left(y-8\right)

The other factor is:

\left(y-8\right)

5 0
2 years ago
Read 2 more answers
The histogram below shows the number of properties in a town that sold within certain time periods.
Tomtit [17]

Answer:

Option c) The scale on the y-axis misrepresents the difference in the heights of the bars.

Step-by-step explanation:

Given is a histogram that shows the number of properties in a town that are sold within certain periods.

On x axis is given number of days to sell and on y axis the number of properties

X axis is given in interval form with interval width 30 and on y axis scales are marked as 0,1,2....12,13 etc

The mistake is on y axis after 0, 10 is marked with unit distance from 0 but from 10 to 11 also distance is shown as 1 unit.

Hence correct option is

Option c) The scale on the y-axis misrepresents the difference in the heights of the bars.

7 0
2 years ago
Read 2 more answers
Elliot collects miniature toy cars. He wants to fill 4 display cases.each display case holds 15 cars. He has 28 cars now, and he
baherus [9]

Answer:

Elliot has to wait 11 months before he has enough cars

Step-by-step explanation:

Elliot has 4 display cases with each case being able to hold 15 cars. Thus we know

total # of cars Elliot can place in his display case = 4 * 15 = 60 cars

From this, we can figure out how many more cars Elliot needs by subtracting the amount of cars he already has

# of cars Elliot needs = 60 - 28 = 32 cars

Now to find the number of months Elliot needs, we divide by how many he can buy each month

# of months Elliot needs to save up for = 32 / 3 = 10 2/3

Assuming Elliot does not get his allowance until the end of the month, we will have to round the number of months up to the nearest integer, 11

7 0
2 years ago
Johana works in the crime lab at the New York City Police Department. A woman’s shoe was found at a crime scene. Johana measures
madam [21]

Answer:

(7, 64.33)

Step-by-step explanation:

For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:

y=1.19x+56,$ where:\\x = woman's shoe size\\ y= the estimated likely height of the woman in inches.

(a)Let x=7

Then:  y =1.19(7)+56=64.33

An ordered pair that is a solution to the function is (7, 64.33)

(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.

7 0
2 years ago
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