2 years ago

Can you help me please with this proof ? thank you!!

Mathematics

1 answer:

Alika [10]2 years ago

4 0

Answer:

what subject is this? or what

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You deposit $10,000 in an account that pays 4.5% interest compounded quarterly. Find the future value after one year.

Dominik [7]

Answer:

11800

Step-by-step explanation:

4.5%=0.045

0.045x10,000=450

450x4(quarterly)=1800

10,000+1800= 11800

5 0

2 years ago

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What is the value of k?

Molodets [167]

Answer:

$( {x}^{2} + 16x + 64) - (x + 8)(x - 4) = k(x + 8) \\ ( {x + 8)}^{2} - (x + 8)(x - 4) = k(x + 8) \\ (x + 8) - (x - 4) = k \\ k = (x - x) + (8 + 4) \\ k = 12$

4 0

2 years ago

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It takes 5 cups of flour to bake a loaf of bread. How many loaves can be made with 37 cups of flour?

AleksandrR [38]

Answer:

We can make around 7 loaves of bread with 37 cups of flour.

Step-by-step explanation:

Given that 5 cups of flour to bake a loaf of bread.

i.e.

5 cups of flour = 1 loaf of bread

Thus,

37 cups of flour can be determined by dividing 37 by 5.

37/5 = 7.4

= 7 loaves of bread (rounding to the whole number)

Therefore, we can make around 7 loaves of bread with 37 cups of flour.

4 0

2 years ago

Find quadratic polynomial which best fits the function f(x)=e^x and x=0, in the sense that g(0)= f(0), and g'(0) = f'(0), and g"

Dmitriy789 [7]

Let $g(x)=ax^2+bx+c$ . Then

$\begin{cases}g(0)=c\\g'(0)=b\\g''(0)=2a\end{cases}$

Meanwhile, since $f(x)=e^x$ , you have $f(0)=f'(0)=f''(0)=e^0=1$ .

It follows that $a=\dfrac12$ , $b=1$ , and $c=1$ , so that the quadratic fit for $f(x)=e^x$ that satisfies the given points is

$g(x)=\dfrac12x^2+x+1$

Note that this is just the second-order Taylor polynomial for $e^x$ about $x=0$ .

3 0

3 years ago

Maria invests $1200 at 6% compound interest.

amm1812

Answer:

a.$1,272

b.$1,348

c.$1,429

Step-by-step explanation:

6 0

2 years ago

Can you help me please with this proof ? thank you!!​

Can you help me please with this proof ? thank you!!