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3 years ago

You invests $1,400 in an account that pays an interest rate of 5.5%,combounded continoulsy.

1 answer:

8 0

Formula for compounding continuously is:

A = Pe^(RT)

A = Amount, P = Principal, e = constant ≈ 2.71828..., R = Rate per year,

T = Time.

A = ?, P = $1400, R = 5.5% = 5.5/100 = 0.055, T = 6 years.

A = Pe^(RT)

A = 1400*(2.71828)^(0.055*6) use a calculator.

A ≈ 1947.35

Amount or balance is ≈ $1947.35

I hope this helps.

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Andreas93 [3]

Answer:

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3 years ago

What is f(5) if f(1)= 3.2 and f(x+1)=5/2(f(x))

Yanka [14]

F(2) = (5/2)f(1) = 8.0
f(3) = (5/2)f(2) = 20
f(4) = (5/2)f(3) = 50
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3 years ago

Read 2 more answers

What integer is 15 more than -35?

Anarel [89]

Answer:

The integer is -20

Step-by-step explanation:

Is means equals and more than means add

W = 15+-35

W = -20

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3 years ago

Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin4t,sin7t,9t⟩,r(0)=⟨9,8,3⟩

Makovka662 [10]

$\mathbf r'(t)=\langle\sin4t,\sin7t,9t\rangle$
$\implies\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt$
$\mathbf r(t)=\displaystyle\left\langle\int\sin4t\,\mathrm dt,\int\sin7t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle$
$\mathbf r(t)=\left\langle-\dfrac14\cos4t+C_1,-\dfrac17\cos7t+C_2,-\dfrac92t^2+C_3\right\rangle$

With $\mathbf r(0)=\langle9,8,3\rangle$ , we have

$\langle9,8,3\rangle=\left\langle-\dfrac14+C_1,-\dfrac17+C_2,C_3\right\rangle$
$\implies C_1=\dfrac{37}4,C_2=\dfrac{57}7,C_3=8$
$\implies\mathbf r(t)=\left\langle-\dfrac14\cos4t+\dfrac{37}4,-\dfrac17\cos7t+\dfrac{57}7,-\dfrac92t^2+8\right\rangle$

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3 years ago

Learn with an example

lana [24]

Based on the information provided, to feed the second cat it is necessary 1 1/2 extra cans or 1.5 cans.

<h3>How much extra food is needed to feed the second cat?</h3>

This difference can be found by substracting the total cans fed with only one cat to the total fed with two cats:

3 1/2 cans - 2 cans = 1 1/2 cans, which can also be expressed as 1.5 cans.

Based on this, to have a second cat implies 1.5 extra cans.

Learn more about feed in: brainly.com/question/15585750

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2 years ago