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weeeeeb [17]
2 years ago
13

Money in a savings account is compounded continuously over time, t, and is modeled by the function

Mathematics
1 answer:
bezimeni [28]2 years ago
5 0

Answer:

  1.7% compounded continuously

Step-by-step explanation:

The model used for continuous compounding is ...

  f(t) = Pe^(rt)

where P is the principal amount, and r is the interest rate being compounded. Assuming a typo in your given equation, you have ...

  f(t) = 1000·e^(0.017t)

Matching the various parts of the equation, we see that P = 1000 and r = 0.017 = 1.7%.

The balance grows at a continuous rate of 1.7%.

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The common ratio of a geometric series is \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction and the sum of the first
myrzilka [38]

Answer:

The common ratio of a geometric series is \dfrac14

4

1 ​

start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170

The first term is 128

Step-by-step explanation:

The common ratio of the geometric series is given as:

r =  \frac{1}{4}

The sum of the first 4 term is 170.

The sum of first n terms of a geometric sequence is given b;

s_n=\frac{a_1(1-r^n)}{1-r}

common ratio, n=4 and equate to 170.

\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170

\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170\\\\ \frac{255}{256} a_1 = \frac{3}{4}  \times 170\\\\\frac{255}{256} a_1 = \frac{255}{2}  \\\\\frac{1}{256} a_1 = \frac{1}{2}  \\\\ a_1 = \frac{1}{2}   \times 256\\\\a_1 = \frac{1}{2}   \times 256 \\\\= 128

8 0
2 years ago
I will mark you brainiest if you can answer this
MrRissso [65]
B is the correct answer because the bottom should be 8^0 which equals 1
3 0
2 years ago
A line segment endpoints at (3, 2) and (2, -3). Which reflection will produce an image with endpoints at (3, -2) and (2, 3)
givi [52]

A reflection across the x-axis. Hope this helps!


4 0
3 years ago
If the circumference of a circle is 3/4pi cm what is the area of the circle in terms of pi
Vinil7 [7]

Answer:

Area = π×(3/8)²

Step-by-step explanation:

Let p represent the circumference and r the radius

then

p = 3/4π = 2×π×r ⇒ 3/4 = 2r

then r = (3/4)/2 = 3/8

Area = π×r² = π×(3/8)²

:)

5 0
2 years ago
Which statement is correct regarding g(x) = 35x + 6 - 8 and the parent function f(x) = x ?
Alekssandra [29.7K]

Answer:

The ranges of g(x) and f(x) are the same and their domains are also the same.

Step-by-step explanation:

The function g(x) is the function f(x) multiplied by 35 and later translated twice, first 6 units up and later 8 units down. Since, both expressions are linear functions, both are continuous and both have the same domains and range due to constant slope.

Hence, the ranges of g(x) and f(x) are the same and their domains are also the same.

4 0
2 years ago
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