Arthur is 10 years old tuition for one year at a public to your college is $3125 in eight years tuition is expected to increase 32% Arthur’s family plans to stay for his college cost for five years if the family save $75 per month will there be enough money to pay for the expected cost of one year at the college when he’s 18

  yes

Step-by-step explanation:

In 8 years, when the tuition increases 32% over its present value, it will be ...

  $3125 × (1 +32%) = 1.32 × $3125 = $4125 . . . expected cost

If the family saves $75 per month for 60 months, they will have saved ...

  60 × $75 = $4500 . . . amount saved

The saved amount will exceed the expected cost of one year of college.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

care to share were the trapezoid shown is ?