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3 years ago

Has anyone done this already??

Mathematics

1 answer:

andrey2020 [161]3 years ago

4 0

Answer:

log(4x3y)

Step-by-step explanation:

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c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e

castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

$A=Pe^{rt}$ , where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A= $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

$257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428$

Taking natural log on both the sides , we get

$15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%$

Hence, the annual interest rate = 13.29%

6 0

3 years ago

kennedy has 12 apples. together, she and Ariana have 42 apples. which diagram best represents the situation where A is the amoun

Katarina [22]

There is no diagram to chose from

3 0

3 years ago

Write equation of the line below

vodka [1.7K]

Hi there!

We are given two ordered pairs which are:

(0,0)
(5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

Since we have two given points, we can substitute them in the formula.

$\large{m = \frac{4 - 0}{5 - 0} } \\ \large \boxed{m = \frac{4}{5} }$

2. Form an equation.

Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

$\large \boxed{y = mx + b}$

Where m = slope and b = y-intercept. We substitute m = 4/5.

$\large{y = \frac{4}{5} x + b}$

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

$\large \boxed{y = \frac{4}{5} x}$

3. Answer

Therefore the equation of the line is y = 4x/5.

6 0

3 years ago

Which congruence theorem can be used to prove △ABC ≅ △DBC?

Tema [17]

Answer:

SAS

Step-by-step explanation:

Hope this helps :)

7 0

3 years ago

Graph the line 2x – 3y = 12.

babunello [35]

Decided by 12 is 2 your welcome

8 0

2 years ago