All categories

2 years ago

calculate the weekly repayment on a $30,000 loan that is charged at a simple interest rate of 10.14% for 3 years

Mathematics

1 answer:

Sveta_85 [38]2 years ago

7 0

Using the formula for interest substitute the values

You might be interested in

Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

5 0

3 years ago

The cost to play the game is $2. The winner gets $6 for making green. Suppose 36 people play the game. How much money will the s

IRINA_888 [86]

Answer:

$72

Step-by-step explanation:

I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.

5 0

3 years ago

Read 2 more answers

Madeline estimated the product of 3.56 and 8.3

ycow [4]

Answer:29.548

Step-by-step explanation:What i know is when they ask you for the product of something there asking you to multiply. So 3.56 x 8.3

4 0

4 years ago

Read 2 more answers

Solve for the given variable (see pic)

4vir4ik [10]

27+a=32
a=32-27
a=5

Hope this helped you :)

7 0

3 years ago

Read 2 more answers

Recall the equation for a circle with center ( h , k ) (h,k) and radius r r. At what point in the first quadrant does the line w

garri49 [273]

Equation of this circle is
x^2 + (y - 2)^2 = 36
y = 2.5x + 2

Substitute for y in the equation of the circle:-

x^2 + (2.5x + 2 - 2)^2 = 36

x^2 + 6.25x^2 = 36

x^2 = 36 / 7.25

x = +/- 6 / 2.693 = +/- 2.228

when x = 2.228 y = 2.5(2.228) + 2 = 7.57 to nearest hundredth

when x = -2.228 y = 2.5(-2.228) + 2 = -3.57

So they intersect at 2 points but the intersect in the first quadrant is at (2.23, 7,57) to nearest hundredth.

7 0

3 years ago