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3 years ago

For the function f(t)+Pe^rt, if P = 8 and r = 0.08, then what is the value of f(8) to the nearest tenth?

Mathematics

2 answers:

Gelneren [198K]3 years ago

5 0

Answer:

The answer would be 15.2

Step-by-step explanation:

I just took the Quiz on APEX

Bogdan [553]3 years ago

4 0

F(t) = P.e^(r.t) [ and not as you wrote it f(t)+Pe^rt]
plug in:

f(t) = 8.e^(0.08t) (where e = 2.718 and t=8 given, f(8))
f(8) = 8.(2.718)^(0.08*8) = 21.74^(0.64)

f(8) = 7.17

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What is 7√27+5√48 in simplified radical form?

Andreyy89

7√27 + 5√48

7 × 3√3 + 5√48

7 × 3√3 + 5 × 4√3

21√3 + 5 × 4√3

21√3 + 20√3

41√3 or 71.014

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3 0

3 years ago

Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) 3 217

Soloha48 [4]

Answer:

$f(216) \approx 6.0093$

Step-by-step explanation:

Given

$\sqrt[3]{217}$

Required

Solve

Linear approximated as:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

Take:

$x = 216; \triangle x= 1$

So:

$f(x) = \sqrt[3]{x}$

Substitute 216 for x

$f(x) = \sqrt[3]{216}$

$f(x) = 6$

So, we have:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

$f(215 + 1) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot f'(x)$

To calculate f'(x);

We have:

$f(x) = \sqrt[3]{x}$

Rewrite as:

$f(x) = x^\frac{1}{3}$

Differentiate

$f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}$

Split

$f'(x) = \frac{1}{3} \cdot \frac{x^\frac{1}{3}}{x}$

$f'(x) = \frac{x^\frac{1}{3}}{3x}$

Substitute 216 for x

$f'(216) = \frac{216^\frac{1}{3}}{3*216}$

$f'(216) = \frac{6}{648}$

$f'(216) = \frac{3}{324}$

So:

$f(216) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot \frac{3}{324}$

$f(216) \approx 6 + \frac{3}{324}$

$f(216) \approx 6 + 0.0093$

$f(216) \approx 6.0093$

6 0

3 years ago

CORRECT ANSWER PLEASE!!!!! 150 points

juin [17]

Answer: -7

Step-by-step explanation:

First, lets use the functions to find the answer to f(-8) and g(4)

f(-8) is the same as asking for the value of y when x is -8

Therefore, f(-8) = -5 (according to the graph)

Using the same rule, g(4) would be the value of y when x = 4 which,

according to the graph, g(4) = 3

Plug these values back into the original equation to get:

$-1*f(-8)-4*g(4)=?\\=-1*-5-4*3\\$

using the order of operations, we will multiply the values first

$(-1*-5)+(-4*3)\\=5+(-12)\\=5-12\\=-7$

<h2>Therefore, our final answer is -7</h2>

4 0

1 year ago

A surveyor wants to know how many shoppers at a mall like to read books. He surveys 100 people coming out of a bookstore at the

Alisiya [41]

D. People who shop in bookstores are likely to read more books than those who do not.

8 0

3 years ago

9. What is the degree of the polynomial (x - 1)(x + 2)(2x - 3)?

Mrrafil [7]

Answer:

coefficient of the term of degree 4 in this polynomial is 3

Step-by-step explanation:

3 0

3 years ago

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