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castortr0y [4]
3 years ago
8

today ryan burned 1002.9 calories while exercising, yesterday, he burned 399 calories. how many more calories did ryan today tha

n yesterday
Mathematics
1 answer:
iVinArrow [24]3 years ago
8 0
He burned 603.9 more calores today than yesterday
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For p = $3000, r = 3.5%,and t = 5 years, Find the balance in an account When interest is compounded (a) quarterly, (b) monthly,a
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Step-by-step explanation:

Data provided in the question:

p = $3000,

r = 3.5%,

t = 5 years

a) quarterly

number of periods in a year, n = 4

Interest rate per period = 3.5% ÷ 4 = 0.875%

Now,

A = p\times \left( 1 + \frac{r}{n} \right)^{\Large{n \cdot t}}

A = total amount

n = number of times compounded per year

on substituting the respective values, we get

A = 3000 × \left( 1 + \frac{ 0.035 }{ 4 } \right)^{\Large{ 4 \cdot 5 }}

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A = 3000 × 1.19034

A = $3,571.02

b) monthly

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Now,

A = p\times \left( 1 + \frac{r}{n} \right)^{\Large{n \cdot t}}

on substituting the respective values, we get

A = 3000 × \left( 1 + \frac{ 0.035 }{ 12 } \right)^{\Large{ 12 \cdot 5 }}

A = 3000 × [/tex]\cdot { 1.002917} ^ { 60 }[/tex]

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A = $3,572.9

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A = pe^{r\times t}

on substituting the respective values, we get

A = 3,000 × e^{0.035\times 5}

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A = 3,000 × e^{0.175}

or

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or

A = $3,573.74

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