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3 years ago

you put $6,000 in an account the account of $1050 simple interest in 5 years was the annual interest rate

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

5 0

Ending Balance with Simple Interest Formula

This can be determined by multiplying the $1000 original balance times [1+(10%)(3)], or times 1.30. Instead of using this alternative formula, the amount earned could be simply added to the original balance to find the ending balance.Answer:

Step-by-step explanation:

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If cosx=1/12 and sinx>0 find tan2x

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$cosx=\frac{1}{12}\\\\sin^2x+cos^2x=1\\\\sin^2x+\left(\frac{1}{12}\right)^2=1\\\\sin^2x+\frac{1}{144}=1\\\\sin^2x=1-\frac{1}{144}\\\\sin^2x=\frac{144}{144}-\frac{1}{144}\\\\sin^2x=\frac{143}{144}\\\\sinx=\sqrt\frac{143}{144}\\\\sinx=\frac{\sqrt{143}}{12}$

$tan2x=\frac{sin2x}{cos2x}\\\\sin2x=2sinxcosx;\ cos2x=cos^2x-sin^2x\\\\sin2x=2\cdot\frac{\sqrt{143}}{12}\cdot\frac{1}{12}=\frac{2\sqrt{143}}{144}\\\\cos2x=\left(\frac{1}{12}\right)^2-\left(\frac{\sqrt{143}}{12}\right)^2=\frac{1}{144}-\frac{143}{144}=-\frac{142}{144}\\\\tan2x=\frac{2\sqrt{143}}{144}:\left(-\frac{142}{144}\right)=-\frac{2\sqrt{143}}{144}\cdot\frac{144}{142}=-\frac{\sqrt{143}}{71}$

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3 years ago

The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

Kryger [21]

Answer:

a) $P= $56,972.5$

b) $A=$1,26,792.3$

Step-by-step explanation:

Given Data:

Interest rate= $r= 0.08$ per year

No. of years= $t=10$

Rate of continuous money flow is given by the function

$f(t)=2000$

a) to find the present value of money

$P=\int\limits^n_0 {f(t)e^{-rt} } \, dt$

Put f(t)=2000 and n=10 years and r=0.08

$P=\int\limits^n_0 {2000e^{-0.08t} } \, dt$

Now integrate

$P= {2000(\frac{e^{-0.08t}}{-0.08} )$

$P= -\frac{2000}{0.08} (e^{-0.08*10}-e^{-0.08*0})$

$P= -\frac{2000}{0.08} (e^{-0.8}-e^{0})$

$P= -\frac{2000}{0.08} (0.4493-2.7282)$

$P= -\frac{2000}{0.08} (-2.2789)$

$P= -25000(-2.2789)$

$P= $56972.5$

(b) to find the accumulated amount of money at t=10

$A=P(e^{rt} )$

Where P is the present worth already calculated in part a

$A=56972.5(e^{0.08*10} )$

$A=56972.5(e^{0.8} )$

$A=56972.5(2.2255 )$

$A=$1,26,792.3$

5 0

3 years ago

SOMEONE please just explain this to me I need to pass

Anika [276]

Ok so slope is y2-y1/x2-x1. the question is asking you to find the value of x1 that will make the slope 7. plug in your coordinates to get (7-(-7))/(4-s)=7, then you simplify to get 14/(4-s)=7, multiply both sides by (4-s) to get 14=7(4-s), divide both sides by 7 to get 2=4-s, and then solve to get that s=2. hope this helps!

3 0

3 years ago

you put $6,000 in an account the account of $1050 simple interest in 5 years was the annual interest rate​

you put $6,000 in an account the account of $1050 simple interest in 5 years was the annual interest rate