Answer: Yes he will be
Step-by-step explanation:
To find out if Ted can afford the car, find the future value of $4,300 in three years.
First convert the number of years and rates to quarterly values as this is the compounding period:
Term = 3 * 4 quarters = 12 quarters
Rate = 5.5% / 4 = 1.375% per quarter
Future value = Amount * ( 1 + rate) ^ term
= 4,300 * ( 1 + 1.375%)¹²
= $5,065.69
<em>Considering that Ted makes $5,065.69 in 3 years, he will be able to buy a car that costs $4,700.</em>
Answer:
40 mL of vinegar,
280 mL of dressing
Step-by-step explanation:
Let v = the milliliters ( mL ) of 100% vinegar,
Then it should be that 320 - v = mL of dressing.
v + .12( 320 - v ) = .23( 320 ) - So in this case the mL of vinegar is associated with the percent of vinegar composed. 100 percent is, in other words, 1, and is multiplied by " v " the mL of 100% vinegar. 1 
v is also v, and so is written as such in our equation. 0.12 is the decimal form of the 12% vinegar, associated with the mL of dressing - as the italian dressing is composed of 12% vinegar. 23% is 0.23 in decimal form, multiplied by the mL of of vinegar in the mixture, 320 mL.
Let's solve for the mL of 100% vinegar, subtracting from 320 to receive the mL of dressing,
v + .12( 320 - v ) = .23( 320 ) - Distribute " .12 "
v + 38.4 - 0.12v = .23( 320 ) - Multiply " 0.32 " by " 320 "
v + 38.4 - 0.12v = 73.6 - Combine like terms and add / subtract
0.88v = 35.2 - Divide 0.88 on either side
v = 40 mL of vinegar,
320 - v = 320 - 40 = 280 mL of dressing
Just simplify the 5/20 and keep the negative
Answer:
D
Step-by-step explanation:
Calculating the volumes of both solids
Volume of a cube = s³ ( where s is the side length )
here s = 10, hence
V = 10³ = 10 × 10 × 10 = 1000 in³
Volume of a cylinder = area of base × height
Area of circular base = πr²
here r = 10 and h = 12, hence
V = π × 10² × 12 = 1200π ≈ 3769 .9 in³
The volume of the cylinder is greater than the volume of the cube → D
ƒ(x ) = 3x + 1
Switch x and y to find inverse
x = 3y + 1
3y = x - 1
y = 1/3 x - 1/3
ƒ -1 = 1/3 x - 1/3
ƒ(x ) = 3x + 1
ƒ(3) = 3(3) + 1 = 10
Answer: (3, 10)
