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3 years ago

11

Sam opened a money-market account that pays 3% simple interest. He started the account with $7,000 and made no further deposits.

When he closed the account, he had earned $1,050 in interest. How long did he keep his account open?

1 answer:

Verizon [17]3 years ago

6 0

He hold account for 5 years or 5 months. Depending on 3% per year or 3% per month

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Consider the functions f and g defined by \[f(x) = \sqrt{\dfrac{x+1}{x-1}}\qquad\qquad\text{and}\qquad\qquad g(x) = \dfrac{\sqrt

tino4ka555 [31]

Answer:

The given functions are not same because the domain of both functions are different.

Step-by-step explanation:

The given functions are

$f(x)= \sqrt{\dfrac{x+1}{x-1}}$

$g(x) = \dfrac{\sqrt{x+1}}{\sqrt{x-1}}$

First find the domain of both functions. Radicand can not be negative.

Domain of f(x):

$\dfrac{x+1}{x-1}>0$

This is possible if both numerator or denominator are either positive or negative.

Case 1: Both numerator or denominator are positive.

$x+1\geq 0\Rightarrow x\geq -1$

$x-1\geq 0\Rightarrow x\geq 1$

So, the function is defined for x≥1.

Case 2: Both numerator or denominator are negative.

$x+1\leq 0\Rightarrow x\leq -1$

$x-1\leq 0\Rightarrow x\leq 1$

So, the function is defined for x≤-1.

From case 1 and 2 the domain of the function f(x) is (-∞,-1]∪[1,∞).

Domain of g(x):

$x+1\geq 0\Rightarrow x\geq -1$

$x-1\geq 0\Rightarrow x\geq 1$

So, the function is defined for x≥1.

So, domain of g(x) is [1,∞).

Therefore, the given functions are not same because the domain of both functions are different.

4 0

4 years ago

Need help with this please

Sav [38]

Your going to have to use the distance formula for these questions which is the square root of (x sub 2 - x sub 1) + (y sub 2 - y sub 1). For number 1 your coordinates are (-5,5) and (1,-2). Substituting these values into the formula your answer for number 1 is 9.2.

4 0

3 years ago

Of the last 60 people who went to the cash register at a department store, 13 had blond hair, 18 had black hair, 22 had brown ha

Taya2010 [7]

Yes. 18/60 = 9/30 = 3/10.

5 0

3 years ago

How much money will there be in an account at the end of 10 years if $3000 is deposited at 3% interest compounded

BaLLatris [955]

Answer:

$4040.57

Step-by-step explanation:

A=P(1+(r/n))^nt

P = Principal = 3000

r = rate = 0.03

n = no. times payed each year = 2

t = years = 10

A = 3000(1 + (0.03/2))^(2x10)

A = 3000(1.015)^20

A = 4040.57 (2.d.p)

Hope this helped!

6 0

3 years ago

(y x 1) + 2 and y + 2, is it equivalent or non equivalent?

enot [183]

Given:

The two expressions are

$(y\times 1)+2$

$y+2$

To find:

Whether the given expression are equivalent or non-equivalent.

Solution:

If two expressions are looking different but they are equal after simplification, then they are called equivalent expressions.

The first expression is

$(y\times 1)+2=y+2$

The first expression is equal to the second expression after the simplification.

Therefore, the given expressions are equivalent.

5 0

3 years ago