Translate this sentence into an equation: 162 is the product of 9 and Gall's age. Use the variable g to represent Gall's age.
1 answer:
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Answer:
1. ¹⁰/₁₂ and ⅚;
2. ⁸/₁₂ and ⁴/₆;
3. ⁶/₁₂ and ³/₆
Step-by-step explanation:
The question is asking what fractions of 12 are equivalent to fractions of some smaller number.
Derek cut his pizza into 12 slices. Let's say that Ryan cut his into 6 slices.
Scheme 1
Derek eats 10 slices, and Ryan eats 5 (Fig A )
Then Derek has eaten ¹⁰/₁₂ = ⅚ of a pizza and Ryan has eaten ⅚ of a pizza.
They each have ⅙ of a pizza left over.
The fractions here are ¹⁰/₁₂ and ⅚.
Scheme 2
Derek eats 8 slices, and Ryan eats 4 (Fig. B)
Then Derek has eaten ⁸/₁₂ = ⅔ of a pizza and Ryan has eaten ⁴/₆ = ⅔ of a pizza.
They each have ⅓ of a pizza left over.
The fractions here are ⁸/₁₂ and ⁴/₆.
Scheme 3
Derek eats 6 slices, and Ryan eats 3 (Fig. C)
Then Derek has eaten ⁶/₁₂ = ½ of a pizza and Ryan has eaten ³/₆ = ½ of a pizza.
They each have ½ of a pizza left over.
The fractions here are ⁶/₁₂ and ³/₆.
Answer:
Yolanda will have a balance of $34,043.10 in 14 years.
Step-by-step explanation:
This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.
To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA =
PMT= recurring payment = $300
r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.
t = total duration ; 14 *12 = 168 months
Next, plug in the numbers into the FVA formula;
FVA =
FVA = 60,000 * 0.5673849
FVA = 34,043.0969
Therefore, Yolanda will have a balance of $34,043.10 in 14 years