(5x+1)² = 7; expand: 25x² + 10x +1 = 7 or 25x² + 10x -6 = 0
Solve this quadratic for x:
x = [-b + √(b² - 4ac)]/2a and x = [-b - √(b² - 4ac)]/2a
Plug the values and you'll find :
x = (- √7 - 1)/5 (answer C)
x = (+√7 -1)/5 (answer E)
Answer: a. 13120
b. 4100
c. 1025
d. 3280
Step-by-step explanation:
(a) find the costs price of the fridge
Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:
= (100% - 20%) × 16400
= 80% × 16400
= 0.8 × 16400
= 13120
(b) calculate the deposit
Since 25% is paid as deposit, the deposit will be:
= 25% × 16400
= 0.25 × 16400
= 4100
(c) what is the monthly installments
Monthly installments will be:
= (16400 - 4100)/12
= 12300/12
= 1025
(d) what is the differences between the cash price and the hire purchase price.
This will be:
Hire purchase price = 16400
Cash price = 13120
= 16400 - 13120
= 3280
Answer:
The last option: 27 times the original volume.
Step-by-step explanation:
The dimensions are tripled so and we are talking volumes so:
The factor of enlargement is 3^3 = 27.
Answer:
.08cm or 0.08cm
Step-by-step explanation:
First of all, we can see that 20mm is in millimeters, not centimeters.
If we convert the ones in centimeters to millimeters, it will result in decimals, which I want to avoid, but you could also do it that way.
There are 10 mm in 1 cm, so I multiply all of the values in cm by 10.
So now, we have that the volume is 1760mm, the length is 110mm, and the width is 20mm.
The formula for the volume of a cuboid is: 
We have the width, length, and volume, so let's plug it in.
To solve for h:
1. Multiply 20 and 100
2. Divide both sides by 2200
3. Divide right side
h = 0.8
Keep in mind that this is in millimeters. In centimeters, it would be .08
Answer:
15/240 = 5/80= 1:16. helpful answer
