Two brothers, Mark and Steven, each inherit $45000. Mark invests his inheritance in a savings account with an annual return of 3.2 %, while Steven invests his inheritance in a CD paying 4.5 % annually. How much more money than Mark does Steven have after

1 year?

Steven ears $565 more in one year.

Step-by-step explanation:

Giving the following information:

Mark:

PV= $45,000

n= 1

i= 0.032

Steven:

PV= $45,000

n= 1

i= 0.045

To calculate the Future Value of each investment, we need to use the following formula:

FV= PV*(1+i)^n

Mark:

FV= 45,000*1.032= $46,440

Steven:

FV= 45,000*1.045= $47,025

Difference= 47,025 - 46,440= $565

Steven ears $565 more in one year.

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°

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1