Mathematics, 11.07.2019 03:00 mybeats12341234

Two brothers, mark and charles, each inherit $30000. mark invests his inheritance in a savings account with an annual return of 3.1%. while charles invests his inheritance in a cd paying 5.8% annual. how much more that mark does charles have after 1 year

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Answer from: belen1266

Solution: Mark's initial amount =30000

Mark invest's his inheritance amount in savings account with an annual interest of 3.1%. Therefore, the Mark's interest amount after 1 year is:

$Interest = Principal-amount \times rate\times time$

$Interest= 30000 \times 0.031 \times 1$

=930

Therefore, total amount Mark will have after 1 year 30000+930 =$30930

Now Charles also has $30000 from his inheritance.

Charles invests his inheritance in a CD paying 5.8% annual.

Therefore, interest amount for Charles after 1 year is:

$Interest = Principal-amount \times rate\times time$

$Interest= 30000 \times 0.058 \times 1$

=1740

Therefore, total amount Charles will have after 1 year 30000+1740 =$31740

Therefore, Charles will have $31740 - $30930 = $810 more than Mark

Answer from: Quest

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

$y\propto x$

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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Two brothers, mark and charles, each inherit $30000. mark invests his inheritance in a savings accou...

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