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Jobisdone [24]
3 years ago
9

What is the present value of $6,000 to be received at the end of each of eight periods, assuming the first payment occurs at the

end of the fourth year and an interest rate of 10%?
Mathematics
1 answer:
Kipish [7]3 years ago
6 0

Answer: Present value = $7200

Step-by-step explanation: Given Principal that is the original amount is $6000

Rate is 10% every fourth year

But the total period is eight.

So the interest would be paid 8/4 = 2 times.

Therefore,

Simple interest

= {principal * rate * no of times}/100

= {$6000*10*2}/100

Simple interest = $1200

Present value

= principal + Simple interest

= $6000 + $1200

= $7200.

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Write an equation of the line passing through the point (2,8) that is perpendicular to the line 2x-3y=7
labwork [276]

Answer:

y = (-3/2x) + (35/4)

Step-by-step explanation:

So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:

2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)

So, the slope of the perpendicular line will be (-3/2x)

Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):

8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)

So, y = (-3/2x) + (35/4)

Hope that helps! :D

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3 years ago
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Step-by-step explanation:

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A line passes through (-1, 5) and (1, 3)
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Answer:

y=-x+4

Step-by-step explanation:

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3 years ago
In parallelogram ABCD, m∠B = 105°.
MrMuchimi

Answer:

x=52.5

Step-by-step explanation:

Since ABCD is a parallelogram, B= ADC. So angle ADC is 105. Next since ED=AD, angle EAD=angle AED=x and ADE=75. So 2x+75=180, 2x=105, x=105/2

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