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nydimaria [60]
3 years ago
14

Waring Bank offers a 5% interest rate on a $4500 loan for a 3-year term. South Bank offers a 5% interest rate on a $4500 loan fo

r a 4-year term. How much more interest will South Bank earn on the $4500 loan with the longer term?
Mathematics
1 answer:
Mariana [72]3 years ago
5 0
4500 times 5% per year for 3 years = (4500*.05)*3 = answer 1

4500 times 5% per year for 4 years = (4500*.05)*4 = answer 2

Answer 2 minus answer 1 = jackpot
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Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X. Show all work
aleksandr82 [10.1K]

Answer:

Equation of line is y=(12/5)x+2

Step-by-step explanation:

The slope of line AB is -5/12. The line passing X is perpendicular to line AB and hence have a slope of 12/5. The slope intercept form is given by y=mx+c.

Now, point X satisfies the equation. Plugging in the slope of the line we end up with

y=(12/5)*x+c, now to find c

-10=(12/5)*(-5)+c, c=2

Equation of line is y=(12/5)x+2

7 0
3 years ago
Arrange the steps in the correct order to express cos3x in terms of cosx cos(2x)cos(x)-sin(2x)(x) [1-sin^2(x)]cos(x)-[2sin(x)cos
noname [10]

cos(3x) = cos(2x+x)

= cos(2x) cos (x) -sin(2x)sin(x)

=(1-2sin^2(x)) cos(x)-(2 sin(x) cos(x)) sin(x)

= cos x -2sin^2(x) cos(x) -2sin^2(x) cos(x)

= cos(x) - 4 sin^2(x) cos(x)

cos(x)(1-4sin^2(x))

=cos(x(1-4(1-cos^2(x))

=cos(x)(1-4+4cos^2(x))

= cos(x)-4cos(x)+4cos^3(x)

=-3cos(x)+4cos^3(x)

4 0
3 years ago
1. Find the derivative of f(x), at x = 10<br> f(x) = - 5x² + 13x
Serhud [2]

Answer:

-10x+13

Step-by-step explanation:

Im not 100% sure but i tried!

6 0
2 years ago
A ball is thrown from an initial height of 1 meter with an initial upward velocity of 15m/s. The ball's height h (in meters) aft
lakkis [162]

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\bf t=\cfrac{-(-15)\pm\sqrt{(-15)^2-4(5)(5)}}{2(5)}\implies t=\cfrac{15\pm\sqrt{225-100}}{10} \\\\\\ t=\cfrac{15\pm\sqrt{125}}{10}\implies t=\cfrac{15\pm\sqrt{5^2 \cdot 5}}{10}\implies t=\cfrac{\stackrel{3}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\pm ~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\sqrt{5}}{\underset{2}{~~\begin{matrix} 10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}

\bf t=\cfrac{3\pm \sqrt{5}}{2}\implies t= \begin{cases} \frac{3+ \sqrt{5}}{2} \approx 2.618\\\\ \frac{3- \sqrt{5}}{2}\approx 0.382 \end{cases}

8 0
3 years ago
Solve the following compound inequality: 4 less-than-or-equal-to x + 4 less-than-or-equal-to 12. a. 0 less-than-or-equal-to x le
Readme [11.4K]

Answer:

A. 0 <= x <= 8

Step-by-step explanation:

4 <= x + 4 <= 12

Remove 4 from all sides

4 - 4 <= x + 4 -4 <= 12 - 4

0 <= x <= 8

7 0
2 years ago
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