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nignag [31]
1 year ago
10

you hope to borrow $450,000 at 7% interest per annum compounded quarterly. You will repay the loan in one payment at the end of

3 years. calculate the amount of this loan payment.
Mathematics
1 answer:
Gnesinka [82]1 year ago
7 0

Answer: 94500

Step-by-step explanation:

450,000 x 0.07 x 3 (pXrXt)

You might be interested in
Use these similar triangles on the coordinate plane to determine the equation of a straight line with a slope of 5/3 that passes
Zina [86]

Answer:

y=5/3x

Step-by-step explanation:

5 0
3 years ago
Find , , and if and terminates in quadrant .
ioda

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

STEP - BY - STEP EXPLANATION

What to find?

• sin2x

,

• cos2x

,

• tan2x

Given:

tanx = 2/3 = opposite / adjacent

We need to first make a sketch of the given problem.

Let h be the hypotenuse.

We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.

Using the Pythagoras theorem;

hypotenuse² = opposite² + adjacent²

h² = 2² + 3²

h² = 4 + 9

h² =13

Take the square root of both-side of the equation.

h =√13

This implies that hypotenuse = √13

We can now proceed to find the values of ainx and cosx.

Using the trigonometric ratio;

\sin x=\frac{opposite}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}}\cos x=\frac{adjacent}{\text{hypotenuse}}=\frac{3}{\sqrt[]{13}}

And we know that tanx =2/3

From the trigonometric identity;

sin 2x = 2sinxcosx

Substitute the value of sinx , cosx and then simplify.

\sin 2x=2(\frac{2}{\sqrt[]{13}})(\frac{3}{\sqrt[]{13}})=\frac{12}{13}

Hence, sin2x = 12/13

cos2x = cos²x - sin²x

Substitute the value of cosx, sinx and simplify.

\begin{gathered} \cos 2x=(\frac{3}{\sqrt[]{13}})^2-(\frac{2}{\sqrt[]{13}})^2 \\  \\ =\frac{9}{13}-\frac{4}{13} \\ =\frac{5}{13} \end{gathered}

Hence, cos2x = 5/13

tan2x = 2tanx / 1- tan²x

\tan 2x=\frac{2\tan x}{1-\tan ^2x}=\frac{2(\frac{2}{3})}{1-(\frac{2}{3})^2}=\frac{\frac{4}{3}}{1-\frac{4}{9}}=\frac{\frac{4}{3}}{\frac{9-4}{9}}=\frac{\frac{4}{3}}{\frac{5}{9}}=\frac{4}{3}\times\frac{9}{5}=\frac{4}{1}\times\frac{3}{5}=\frac{12}{5}

OR

\tan 2x=\frac{\sin 2x}{\cos 2x}=\frac{\frac{12}{13}}{\frac{5}{13}}=\frac{12}{5}

Hence, tan2x = 12/5

Therefore,

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

3 0
1 year ago
What is the general form of the equation of the line shown?<br> Ox+y=0<br> Ox-y=0<br> Ox-y=0
mixer [17]

Answer:

x-y=0

Step-by-step explanation:

7 0
3 years ago
Leslie determined that the system of equations below has infinitely many solutions. Is she correct?
Nookie1986 [14]

Answer:

Leslie determined that the system of equations below has infinitely many solutions. Is she correct?  

x=4y-4

2x-8y=-24

A.Yes, Leslie is correct.

B. No, the solution is (-8,-24)

C. No, the solution is (0,-16)

<u>D. No, the system of equations has no solution. </u>

Step-by-step explanation:

you have to solve they as a pair of simultaneous equations and their is no solutions

if you need a more detailed explanation post the question again and i will write a detailed explanation

plz mark as brainliest


6 0
3 years ago
Read 2 more answers
Solve----------------------------------------------------
kifflom [539]
Surface area = 6 x 10^2
6 x 10^2
6 x 100
600m^2
6 0
3 years ago
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