Joey is planning to invest his savings in a fixed income fund. He manages to deposit $700 at the end of the first year, $500 at

Answer:

Step-by-step explanation:

Denote the rectangular prism's volume as VR and the volume of the right triangular prism as VT. Given that the rectangular prism's volume exceeds that of the triangular prism by 32 cubic feet, we establish that VR = 32 + VT.

Calculating VR: VR = length * width * height = 6*x*3.

This simplifies to VR = 18x ft³.

For the triangular prism, VT can be calculated as Length * width * Height / 2, yielding VT = (7 * x * 4) / 2.

Thus, VT = 28x / 2, which simplifies to VT = 14x ft³.

Equating VR to 32 + VT allows the substitution: 18x = 32 + (14x).

Now, simplify the equation:

Combine like terms: 18x - 14x = 32.

This results in 4x = 32.

Dividing both sides by 4:

x = 8.

The volume for the rectangular prism comes to 18x, which equals 18*8.

The volume of the rectangular prism calculates to 144 ft³.

The volume for the right triangular prism calculates to 14x, which equals 14*8.

The volume of the right triangular prism calculates to 112 ft³.

2.8y + 6 + 0.2y = 5y – 14

Start by simplifying the left side:

3y + 6 = 5y - 14

Next, deduct 3y from both sides:

6 = 2y - 14

Add 14 to both sides:

2y = 20

Now, divide by 2:

y = 20 / 2

y = 10

Answer:

1%

Step-by-step explanation:

The selling price for each radio is $2288.

Total selling price is $4576.

Profit is 10%.

Loss is also 10%.

Cost price=

Cost price=

Utilizing the formula,

Cost price of the first radio is $2080.

Cost price of the second radio is =$2542.2.

The combined cost price for both radios totals 2080+2542.2=$4622.2.

Total cost price exceeds total selling price.

Loss equals selling price minus cost price.

Loss is calculated as 4622.2-4576=$46.2.

Loss%=

Loss percentage is 1%.

Thus, the loss is 1%.