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3 years ago

When Melissa was born,

Mathematics

1 answer:

lesya [120]3 years ago

3 0

Answer:

$20,960

Step-by-step explanation:

Use the formula for amount after simple interest A = P(1 + rt)

"A" is the final amount

"P" is principal, or starting amount

"r" is the interest rate as a decimal

"t" is the time in years

We finding "A".

P = 8000

r = 9%/100 = 0.09

t = 18

Substitute the values into the formula, then solve to get the final answer.

A = P(1 + rt)

A = 8,000(1 + (0.09)(18))

Remember to follow BEDMAS order when solving. Solve brackets first.

A = 8,000(1 + (0.09)(18)) Multiply in brackets.

A = 8,000(1 + 1.62) Add in brackets.

A = 8,000(2.62) Multiply

A = 20,960 Answer

Therefore Melissa's college fund account will have a total amount of $20,960.

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rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t

ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

$y=h+ut+\frac{1}{2}at^2$

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

$a=g=-9.8 m/s^2$ is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

$11=23+27t-4.9t^2\\4.9t^2-27t-12=0$

This is a second-order equation, which has solutions:

$t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}$

$t_1 = -0.41 s$

$t_2=5.92 s$

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

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3 years ago

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erastova [34]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Given f(x)=14(5−x)2 what is the value of f(11)?

dlinn [17]

Answer:

I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2

Step-by-step explanation:

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2 years ago

Select all points that are on the line through 0,5

Rus_ich [418]

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = $\frac{8-5}{2-0}$ = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

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Answer:

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Step-by-step explanation:

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