Answer:
Each monthly payment is $ 49.05, and in total Tom paid $ 648.60.
Step-by-step explanation:
Given that Tom buys a DVD player on 12 monthly payments, whose cash price is $ 600, and he pays a 10% deposit and the store charges 9% interest, to determine how much is each payment and the total amount Tom pays for the DVD player the following calculations must be performed:
600 - 600 x 0.1 = 540
540 x 1.09 = 588.6
588.6 / 12 = 49.05
Thus, each monthly payment is $ 49.05, and in total Tom paid $ 648.60.
Answer:
Proportion states that the two fractions or ratios are equal
As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96
Let the tank size now be x
Since, the gas tank expanded by 10 gallons = x + 10
by definition of proportion ;
![\frac{x}{42.56}=\frac{x+10}{72.96}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B42.56%7D%3D%5Cfrac%7Bx%2B10%7D%7B72.96%7D)
by cross multiply we get;
![72.96x = 42.56(x+10)](https://tex.z-dn.net/?f=72.96x%20%3D%2042.56%28x%2B10%29)
using distributive property;![a\cdot (b+c) =a\cdot b + a\cdot c](https://tex.z-dn.net/?f=a%5Ccdot%20%28b%2Bc%29%20%3Da%5Ccdot%20b%20%2B%20a%5Ccdot%20c)
![72.96x = 42.56x+425.6](https://tex.z-dn.net/?f=72.96x%20%3D%2042.56x%2B425.6)
Subtract 42.56x from both sides we get;
![30.4x =425.6](https://tex.z-dn.net/?f=30.4x%20%3D425.6)
Divide both sides by 30.4 we get;
x = 14
Therefore, the tank is her now is, 14 gallons
Answer:
y+9=3/4(x-8)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-9)=3/4(x-8)
y+9=3/4(x-8)
Answer:x=8
Step-by-step explanation:
3×4 = 12 so 2×4 = 8
The length of one of the legs of an isosceles right triangle and has a hypotenuse length of seven times the square root of two is 7 units.
<h3>What is an Isosceles triangle?</h3>
Isosceles triangles are triangles that has two of it sides equal to each other. The base angles of an isosceles triangle are equal.
The isosceles triangle is also a right angle triangle. The hypotenuse is the longest side of a right angle triangle.
Therefore,
hypotenuse = 7(√2)
let the length of the other legs = x
Therefore, using Pythagoras theorem
c² = a² + b²
(7(√2))² = x² + x²
49 × 2 = 2x²
98 = 2x²
x² = 98 / 2
x = √49
x = 7 units
learn more on isosceles triangle here: brainly.com/question/10412877