All categories

2 years ago

PLEASE HELPPP!! I need help with both questions

Mathematics

1 answer:

navik [9.2K]2 years ago

3 0

9514 1404 393

Answer:

borrow: $21,056.60
interest: $1,983.40

Step-by-step explanation:

The relation between the monthly payment (A) and the principal borrowed (P) is ...

A = P(r/12)/(1 -(1 +r/12)^-n)

where the annual interest rate is r and n is the number of monthly payments.

Then the principal P can be found as ...

P = $384(12/0.036)(1 -(1 +0.036/12)^-60) ≈ $21,056.60 . . . loan amount

The sum of payments is ...

$384 × 60 = $23,040.

The difference between the payments made and the loan principal amount is the interest paid:

$23,040.00 -21,056.60 = $1,983.40 . . . total interest

You might be interested in

Is 18/54 equivalent to 3/9?

viva [34]

Yessssssssssssssssssssssss

4 0

2 years ago

Help #23 pleaseeeeeeeee

GuDViN [60]

A bus holds 40 people and a van holds 10

7 0

2 years ago

What is (6,2) rotation 270

nignag [31]

Given:

The point is (6,2).

To find:

The image of given point after rotation of 270 degrees.

Solution:

Let the given point be P(6,2).

Rotation of 270 degrees means the figure is rotated 270 degrees counterclockwise about the origin. So, the rule of rotation is

$(x,y)\to (y,-x)$

Using this rule, we get

$P(6,2)\to P'(2,-6)$

Therefore, the image of given point is (2,-6).

3 0

2 years ago

X+y+z=1<br> X-2y+3z=2<br> X+z-5=0

serious [3.7K]

x+y+z=1

x=1/(y+z)

1/(y+z)-2y+3z=2

1-2y²-2yz+3yz+3z²=2(y+z)

(1-2y²+yz+3z²)/2=y+z

z=(1-2y²+yz+3z²)/2 -y/1

z=(1-2y²+yz+3z²-2y)/2

8 0

3 years ago

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible

3241004551 [841]

Answer:

Option 2 - 3.2 inches.

Step-by-step explanation:

Given : The lengths of two sides of a right triangle are 5 inches and 8 inches.

To find : What is the difference between the two possible lengths of the third side of the triangle?

Solution :

According to question, it is a right angle triangle

Applying Pythagoras theorem,

$H^2=P^2+B^2$

Where, H is the hypotenuse the longer side of the triangle

P is the perpendicular

B is the base

Assume that H=8 inches and B = 5 inches

Substitute the value in the formula,

$8^2=P^2+5^2$

$64=P^2+25$

$P^2=64-25$

$P^2=39$

$P=\sqrt{39}$

$P=6.24$

Assume that P=8 inches and B = 5 inches

Substitute the value in the formula,

$H^2=8^2+5^2$

$H^2=64+25$

$H^2=89$

$H=\sqrt{89}$

$H=9.43$

Therefore, The possible length of the third side of the triangle is

$L=H-P$

$L=9.43-6.24$

$L=3.19$

Therefore, The difference between the two possible lengths of the third side of the triangle is 3.2 inches.

So, Option 2 is correct.

3 0

3 years ago

Read 2 more answers