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3 years ago

OFFERING BRAINLIEST !! Using the formula, compute the true annual interest rate to the nearest tenth.

Mathematics

2 answers:

garik1379 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

5x12=60

(227.5x5x120)=13650

13650-9500=4150

apply formula

(2x12x4150)/((13650(60+1))=0.1196

0.1196x100=11.96% 0r 12%

Drupady [299]3 years ago

6 0

Answer:

17.2%

Step-by-step explanation:

given that:

y = 12 months

m = $9,500

n = 60 (because five years is 60 months)

c = (n * $227.50) - m

= (60 * $227.50) - $9,500

c = 4,150

and now, to substitute the following to the equation:

$\frac{2(12)(4,150)}{9,500(61)} *100$ = 17.2%

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Dafna11 [192]

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Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

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Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder= $2\pi rh$

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$C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07$

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Differentiate w.r.t r

$C'(r)=-\frac{8}{r^2}+0.28\pi r$

$C'(r)=0$

$-\frac{8}{r^2}+0.28\pi r=0$

$0.28\pi r=\frac{8}{r^2}$

$r^3=\frac{8}{0.28\pi}=9.095$

$r=(9.095)^{\frac{1}{3}}=2.09$

Again, differentiate w.r.t r

$C''(r)=\frac{16}{r^3}+0.28\pi$

Substitute the value of r

$C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0$

Therefore,the product cost is minimum at r=2.09

h= $\frac{200}{\pi (2.09)^2}=14.57$

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

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