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lana [24]
3 years ago
5

If $25,000 is invested in a saving account at a rate of 7% compounded continuously, then the amount in the account after 5 years

is approximately....
A ) 35,063.79

B ) 35,476.69

C ) 35,369.45

D ) 35,475.50

E ) None of the above
Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0

Answer: 35,476.69


Step-by-step explanation:

the formula is

A=p×e^(rt)

A future value?

P present value 25000

R interest rate 0.07

T time 5years

A=25,000×e^(0.07×5)

A=35,476.69


Hope it helps!

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A log-level model relating the natural logarithm of house price, y, to square footage was fit. The fitted model is stack ln (p r
Musya8 [376]

Answer:

$255,331

Step-by-step explanation:

Calculation for the estimated price

ln (price) =11.65 +0.000473*square foot

Square feet =1,692

First step is to find the ln (price)

ln (price) =11.65 +0.000473*1,692

ln (price)=12.450316

Last step is to calculate the Estimated price by using calculator to find the exponential of 12.450316

Estimated price=e^(12.450316)

Estimated price=$255,330.99

Estimated price=$255,331 Approximately

Therefore the estimated price of a house that is 1,692 square feet will be $255,331

7 0
3 years ago
What is the resulting equation when the expression for y in the second equation is substituted into the first equation-3x+2y=-3
Alex

Answer:

x=-5/11, y=-9/11. (-5/11, -9/11).

Step-by-step explanation:

3x+2y=-3

y=4x+1

---------------

3x+2(4x+1)=-3

3x+8x+2=-3

11x=-3-2

11x=-5

x=-5/11

y=4(-5/11)+1

y=-20/11+11/11

y=-9/11

5 0
3 years ago
Make a number line and mark the points that represent the following values of x. 10∙x=0
djyliett [7]

The point on a number line is the location of the point.

<h3>How to draw the number line</h3>

The points are given as:

x = 10 and x = 0

This means that we mark a point at the point 10 on the number line, and another point at the point 0 on the same number line

However, the point 0 would come before point 10 because 0 is less than 10

See attachment for the number line

Read more about number lines at:

brainly.com/question/10851163

6 0
2 years ago
Find the nth taylor polynomial for the function, centered at c. f(x) = ln(x), n = 4, c = 5
masha68 [24]

The nth taylor polynomial for the given function is

P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴

Given:

f(x) = ln(x)

n = 4

c = 3

nth Taylor polynomial for the function, centered at c

The Taylor series for f(x) = ln x centered at 5 is:

P_{n}(x)=f(c)+\frac{f^{'} (c)}{1!}(x-c)+  \frac{f^{''} (c)}{2!}(x-c)^{2} +\frac{f^{'''} (c)}{3!}(x-c)^{3}+.....+\frac{f^{n} (c)}{n!}(x-c)^{n}

Since, c = 5 so,

P_{4}(x)=f(5)+\frac{f^{'} (5)}{1!}(x-5)+  \frac{f^{''} (5)}{2!}(x-5)^{2} +\frac{f^{'''} (5)}{3!}(x-5)^{3}+.....+\frac{f^{n} (5)}{n!}(x-5)^{n}

Now

f(5) = ln 5

f'(x) = 1/x ⇒ f'(5) = 1/5

f''(x) = -1/x² ⇒ f''(5) = -1/5² = -1/25

f'''(x) = 2/x³  ⇒ f'''(5) = 2/5³ = 2/125

f''''(x) = -6/x⁴ ⇒ f (5) = -6/5⁴ = -6/625

So Taylor polynomial for n = 4 is:

P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴

Hence,

The nth taylor polynomial for the given function is

P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴

Find out more information about nth taylor polynomial here

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#SPJ4

3 0
2 years ago
mr.jackson plans to cover his entire kitchen floor with 1 square foot tile. There will be no gaps between the tiles and they wil
Andrei [34K]

Answer:

72 ft

Step-by-step explanation:

8 x 9 = 72.

7 0
3 years ago
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