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irakobra [83]
2 years ago
15

Mark takes out a $238,000 mortgage for 30 years. Instead of paying his monthly payment of $1,220.09, he decides to pay $1,420.09

. This leads to Mark paying off the entire mortgage in 22 years and 5 months. Mark calculates the percent of the total loan he pays back in interest with and without the extra payments. What is the difference between Mark’s calculated percentages?
a) 8.1%
b) 13%
c) 37.7%
d) 45.87%
Mathematics
1 answer:
klasskru [66]2 years ago
8 0

Answer:

B

Step-by-step explanation:

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Patient A receives 3 times the amount of a certain medication as Patient B. The two doses add to 200 milligrams. What amount of
EastWind [94]

Answer:

Patient A - 150 mg

Patient B - 50 mg

Step-by-step explanation:

Since patient A gets three times more, 50 times 3 is 150. 150 plus 50 is 200, therefore, patient A gets 150 mg and patient B gets 50 mg. I hope this helps :)

5 0
2 years ago
Z to the power of 2 =1
stiv31 [10]

That would be written as:

z^{2} = 1


And the step-by-step equation would be:

z^{2} = 1 → we take the 2 to the right side of the equation and do the IO*

z = \sqrt{1} →we solve for \sqrt{1}

z = 1 → final answer


*Ps - IO is not an existing term and stands for inverse operation. In this case, because when we take to 2 to the right side of the equation (the 2 is a power) it'll have to turn into a square root (because exponents and roots are inverse operations)



Hope it helped,



BioTeacher101

3 0
2 years ago
Two planes, which are 3400 miles apart, fly toward each other. Their speeds differ by 80mph. If they pass each other in 5 hours,
Andreas93 [3]

Answer : The speed of both planes is 61.25 mph and 18.75 mph  respectively.

Explanation:

Let the speed of first plane be x mph

Let the speed of second plane be y mph

Since we have given that difference of speeds is 80 mph

i.e.  x - y= 80   (Eq^n   1)

Distance between two planes = 3400 miles

As they are flying towards each other i.e. they are in the opposite direction.

So, Relative speed  will  be the sum of their speeds i.e.

Relative speed = x + y

And we know speed = \frac{Distance}{Time}

Speed= \frac{3400}{80}

⇒ Speed = 42.5 mph

Hence, Relative speed becomes 42.5 mph

⇒ x+y=42.5  (Eq^n   2)

Now, by using the elimination method of solving the system of equation, we  have ,

x= 61.25 mph

and y = 18.75 mph



4 0
2 years ago
A relationship between x and y is defined by the equation y=3x +1/2 which statements are true of this relationship? Select all t
bezimeni [28]

Answer:

a.

b.

d.

Step-by-step explanation:

4 0
2 years ago
Find the general solution for differential equation<br><br> (D4 - 5D3 + 5D2 + 5D - 6)y = 0
slava [35]
Given differential equation, (D4 - 5D3 + 5D2 + 5D - 6)y = 0

=> For general solution of equation,

Solve D4 - 5D3 + 5D2 + 5D - 6 = 0

=> D4 - 5D3 + 6D2 - D2 + 5D - 6 = 0

=> D2 (D2 - 5D + 6) - (D2 - 5D + 6) = 0

=> (D2 - 5D + 6)(D2 - 1) = 0           ................................(1)

Now

D2  - 1 = (D - 1)(D + 1)  and

Factors of D2 - 5D + 6

D2 - 5D + 6 = D2 - 2D - 3D + 6

= D(D - 2) - 3(D - 2)

= (D - 3)(D - 2)

Therefore, equation (1) implies

(D2 - 5D + 6)(D2 - 1) = (D - 3)(D - 2)(D - 1)(D + 1) = 0

=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3

=> General solution of differential equation is,<span>

=><span> y = C1 e-x + C2 ex + C3 e2x + C4 e3x</span> .

Hope it helps
</span>
8 0
2 years ago
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