Can someone help me with this?

You have invested $5000 in stocks and bonds. The interest you earned on the stocks was 7%. The interest you earned on the bonds

Sphinxa [80]

Money invested S + B = $5000 - - - - (a)
Money earned can be represented in S & B as follows:
0.07*S + 0.14*B =$500 - - - - (b)

Equations a & b are two equations with two unknowns.

From equation a:
S = 5000 - B
Replace S in equation b
0.07*(5000 - B) + 0.14*B =$500
0.07B = 500 - 350 = $150
B = 150/0.07 = $2142.86
S = 5000 - 2142.86 = $2857.14

Good luck

8 0

2 years ago

F(x)

mina [271]

a) Since both limits are distinct and do not exist, we conclude that x = - 1 is not part of the domain of the rational function.

b) The function $f(x) = \frac{x}{x^{2}+ x}$ is equivalent to the function $g(x) = \frac{1}{x + 1}$ .

<h3>How to determine whether a limit exists or not</h3>

According to theory of limits, a function f(x) exists for x = a if and only if $\lim_{x\to a^{-}} f(x) = \lim_{x \to a^{+}} f(x)$ . This criterion is commonly used to prove continuity of functions.

Rational functions are not continuous for all value of x, as there are x-values that make denominator equal to 0. Based on the figure given below, we have the following lateral limits:

$\lim_{x \to -1^{-}} \frac{x}{x^{2}+x} = - \infty$

$\lim_{x \to -1^{+}} \frac{x}{x^{2}+x} = + \infty$

Since both limits are distinct and do not exist, we conclude that x = - 1 is not part of the domain of the rational function.

In addition, we can simplify the function by algebra properties:

$\frac{x}{x^{2}+ x} = \frac{x}{x\cdot (x + 1)} = \frac{1}{x + 1}$

$g(x) = \frac{1}{x + 1}$

The function $f(x) = \frac{x}{x^{2}+ x}$ is equivalent to the function $g(x) = \frac{1}{x + 1}$ .

To learn more on lateral limits: brainly.com/question/21783151

#SPJ1

7 0

1 year ago

IF YOU GET THIS RIGHT (First )YOU GET BRAINLIEST AND FIVE STAR RATING AND THANKS

SpyIntel [72]

Answer:

The name of the horse is Friday.

Step-by-step explanation:

Cowboy and his Horse !

7 0

2 years ago

Problema propuesto Pablo tiene un terreno con forma Su lado desigual mide 8 m y el perímetro mide 28 m. Él quiere colocar césped

jarptica [38.1K]

Responder:

74,67

Explicación paso a paso:

El monto a pagar será:

Multiplicando el perímetro por la longitud del lado desigual

Perímetro = 28 m

Lado desigual = 8

Perímetro * longitud del lado desigual

28 * 8 = 224m²

Longitud por metro cuadrado = $ 3

El monto a pagar :

224m² / 3

= 74,67

6 0

2 years ago

P varies jointly with t and inversely with s. If p = 4 when t = 3 and s = 6, find p when t = -6 and s = 2.

WINSTONCH [101]

Answer:

32

Step-by-step explanation:

4 0

2 years ago