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1 year ago

Some banks charge a fee on savings accounts that are left inactive for an extended period of time.

Mathematics

1 answer:

iris [78.8K]1 year ago

8 0

Since the value 0.98 is less than 1, we can therefore say that balance in this account is decreasing.

<h3>How to recognize Exponential Function.</h3>

Exponential Function can be used for increase rate and also for decay rate. The difference between the two are the plus and minus signs. To put it in another perspective, If Y = P(M)³

If M is less than one, that means it is decaying or decreasing. And if M is greater than one, that means it is increasing.

Given that Some banks charge a fee on savings accounts that are left inactive for an extended period of time. And the equation

y = 5000(0.98)^x represents the value, y, of one account that was left inactive for a period of x years.

According to the equation, to know if the balance in this account is increasing or decreasing, we will analyze the value 0.98.

Since the value 0.98 is less than 1, we can therefore say that balance in this account is decreasing.

Learn more about Exponential Function here: brainly.com/question/2456547

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You might be interested in

Suppose a researcher is conducting a hypothesis test for a mean and finds a test statistic of z=2.3z=2.3 . Which of the choices

Galina-37 [17]

Answer:

Option c. The result is significant at the 0.020.02 level.

Step-by-step explanation:

We are given the following in the question:

We are conducting a one tailed hypothesis test with alternate hypothesis

$H_A: \mu > \mu_0$

The z test calculated for the same is

z=2.3

We calculate the p-value from the standard normal table.

p value = 0.010724 at 0.05 significance level.

The result is significant

p value = 0.010724 at 0.01 significance level.

The result is not significant

p value = 0.010724 at 0.02 significance level.

The result is significant at 0.02 significance level.

Thus, the correct answer is

Option c. The result is significant at the 0.020.02 level.

3 0

3 years ago

!!!!!! URGENT PLS HELP ME ANSWER !!!!

laila [671]

Answer:

1) A = 547.1136, C = 82.896

2) A = 678.5226, C = 92.316

3) A = 844.5344, C = 102.992

4) A = 1554.49625, C = 139.73

5) A = 1561.4906, C = 140.044

6) A = 994.8776, C = 111.784

Step-by-step explanation:

$A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{26.4}{2})^2 = 3.14 * 13.2^2 = 547.1136$

$C = \Pi D = 3.14 * 26.4 = 82.896$

$A = \Pi r^2 = 3.14*(14.7)^2 = 678.5226$

$C = 2\Pi r = 14.7*2 * 3.14 = 92.316$

$A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{32.8}{2})^2 = 3.14 * 16.4^2 = 844.5344$

$C = \Pi D = 3.14 * 32.8 = 102.992$

$A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{44.5}{2})^2 = 3.14 * 22.25^2 = 1554.49625$

$C = \Pi D = 44.5*3.14 = 139.73$

$A = \Pi r^2 = 3.14*22.3^2 = 1561.4906$

$C = 2\Pi r = 2 * 3.14 * 22.3 = 140.044$

$A = \Pi r^2 = 3.14 * 17.8^2 = 994.8776$

$C = 2\Pi r = 2 * 3.14 * 17.8 = 111.784$

8 0

3 years ago

Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 1

belka [17]

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

$F(x) = \int\limits^a_b {f(x)} \, dx$

By using integration formula

$\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c$

Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

$\int\limits^6_^-6} (x^{5} + 8 x^{4} + 2 x^{2} + 5 x + 15) )dx$

<em>On integration , we get</em>

= $(\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}$

$F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)$

= $(\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))$

After simplification and cancellation we get

= $\frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6$

on calculation , we get

= $\frac{124,416}{5} + \frac{864}{3} + 180$

On L.C.M 15

= $\frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}$

= 25 351.2 units²

<u><em>Conclusion</em></u>:-

<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>

6 0

3 years ago

A 35% sodium hydroxide solution is to be mixed with a 60% sodium hydroxide solution to obtain 20 liters of 40% sodium hydroxide

nydimaria [60]

0.35x + 0.60y = 0.40(x + y) where x = vol. of 35% and y = vol. of 60%

x + y = 20

solve this system of equations

x + y = 20
-0.05x +0.20y = 0

this gives x = 16 and y = 4

so you need 16 L of 35% and 4 L of 60% solution.

3 0

3 years ago

If 0.5x-3=2-0.75x then 2x =?

Anvisha [2.4K]

Answer:

Step-by-step explanation:

Step 1:

0.5x - 3 = 2 - 0.75x Equation

Step 2:

1.25x - 3 = 2 Add 0.75x on both sides

Step 3:

1.25x = 5 Add 3 on both sides

Step 4:

5 ÷ 1.25 Divide

Step 5:

x = 4 Solution to x

Step 6:

2 × 4 Multiply to find answer of 2x

Answer:

2x = 8

Hope This Helps :)

5 0

3 years ago