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Masteriza [31]
4 years ago
10

Solve equation e^{2x} + 2e^{x} −3 = 0

Mathematics
1 answer:
sweet [91]4 years ago
3 0
e^{2x}+2e^x-3=0\\\\\underbrace{\left(e^x\right)^2+2e^x\cdot1+1^2}_{(*)}-1^2-3=0\\\\(e^x+1)^2-1-3=0\\\\(e^x+1)^2-4=0\\\\(e^x+1)^2=4\iff e^x+1=\sqrt4\to e^x+1=2\\\\e^x=2-1\\\\e^x=1\\\\e^x=e^0\iff x=0
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Suppose you invest $75 a month in an annuity that earns 48% APR compounded monthly. How much money will you have in this account
il63 [147K]

Answer:

The money after 3 years is $5819.8735

Step-by-step explanation:

We are given

monthly payment =$75

so, P=75

annuity that earns 48% APR

so, r=48%

Since, it is compounded monthly

so,

i=\frac{48}{12} =4%

i=0.04

n=12\times 3=36

now, we can use annuity formula

FV=P[\frac{(1+i)^n-1}{i} ]

where

FV is future value

now, we can plug values

FV=75[\frac{(1+0.04)^{36}-1}{0.04} ]

we get

FV=5819.8735

The money after 3 years is $5819.8735

4 0
3 years ago
Compute (11011011.101 + 101010.11) * 11.1
Digiron [165]

Answer:

the answer is 123,343,435.4421

5 0
4 years ago
At a salesperson nakia is paid $50 per week plus$3 per sale.This week makati hopes to earn at least $100. Write an inequality fo
Inessa [10]

Answer:

The Inequality representing the number of sales needed is 50+3x\geq 100.

Mali need to make at least <u>17 sales</u> for to earn $100.

Step-by-step explanation:

Given:

Amount paid per week = $50

Amount paid on per sale = 3

Total amount to be earned \geq $100

We need to write and solve the inequality to find the number of sales need to be make.

Solution:

Let the number of sales need to be make be 'x'.

Now we can say that;

Amount paid per week plus Amount paid on per sale multiplied by number of sales should be greater than or equal to Total amount to be earned.

framing in equation form we get;

50+3x\geq 100

Hence the Inequality representing the number of sales needed is 50+3x\geq 100.

On Solving above Inequality we get;

Subtracting both side by 50 using Subtraction property of Inequality we get;

50+3x-50\geq 100-50\\\\3x\geq 50

Now Dividing both side by 3 Using Division property of Inequality we get;

\frac{3x}{3}\geq \frac{50}{3}\\ \\x\geq 16.66

Hence Mali need to make at least <u>17 sales</u> for to earn $100.

4 0
3 years ago
Which of the following has a denominator of 6? <br>a. 6 2/3<br>b. 16/18 <br>c. 6/7 <br>d. 1/6
maw [93]

Answer:

D

Step-by-step explanation:

The denominator is the bottom number in a fraction, while the numerator is the top number.

numerator/denominator

Let's analyze the answer choices.

A. 6 2/3

The bottom number of the fraction is a 3, so this cannot be correct.

B. 16/18

The denominator here is 18, so this choice is also incorrect.

C. 6/7

In this fraction the numerator is a 6, but the denominator is a 7, so this choice is also wrong.

D. 1/6

This choice is the correct answer. The denominator, or bottom number is a 6.

The answer is D. 1/6.

8 0
3 years ago
Read 2 more answers
HEEELLLPP PLEASEE I GIVE BRAINLIST!!!
Mila [183]
Take any of the valid pairs of points, use the formula
rate of change = (y2-y1)/(x2-x1)

Say we use P1=(0,21.4), P2=(3,19)
x1=0, y1=21.4
x2=3, y2=19

Rate of change = (21.4-19)/(0-3)=2.4/(-3) = -0.8 sq. ft/in of liquid
4 0
3 years ago
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