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3 years ago

11

] You are scheduled to receive $20,000 in two years. When you receive it, you will invest it for six more years at 8.4 percent p

er year. How much will you have in eight years?

1 answer:

Alex Ar [27]3 years ago

6 0

Answer:

32449.3

Step-by-step explanation:

use the formula A = P(1+r / 100)^t

20000 × (1+ (8.4 / 100))^6

=32449.3

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F the graph of y=ax+b/x+c has a horizontal asymptote y=2 and a vertical asymptote x=-3 then a+c=?

Pachacha [2.7K]

Correct answer is E.

$y= \frac{ax+b}{x+c}
\\
\\ \lim_{x \to \infty} \frac{ax+b}{x+c}=2
\\
\\ \lim_{x \to \infty} \frac{ \frac{ax}{x} + \frac{b}{x} }{ \frac{x}{x} + \frac{c}{x} }=2
\\
\\ \lim_{x \to \infty} \frac{a + \frac{b}{x} }{ 1 + \frac{c}{x} }=2
\\ \frac{a + 0}{ 1 + 0 }=2
\\
\\ \frac{a}{1} =2
\\a=2
\\
\\x+c=0
\\-3+c=0
\\c=3
\\
\\a+c=2+3=5


$

3 0

3 years ago

Suppose you plan to go out for a picnic during spring break. You plan to bring sandwiches, fruits, and drinks. But you only have

Andreyy89

Answer:

e) z (max) = 24

x₁ = x₂ = 0 x₃ = 4

Step-by-step explanation:

a) The problem requires maximizing the total value from sandwich fruits and drink, therefore the objective function is associated to the sum of the values of each value.

We have three variables xi ( x₁, x₂, x₃ ) the values of sandwich, fruits and drink, and we have to maximize such quantities subject to the constraint of size (the capacity of the basket)

b) z = 6*x₁ + 4*x₂ + 6*x₃ Objective Function

Constraint :

basket capacity 17

9*x₁ + 3*x₂ + 4*x₃ ≤ 17

General constraints:

x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers

e) z (max) = 24

x₁ = x₂ = 0 x₃ = 4

NOTE: Without the information about fractional or decimal feasible solution we decided to use integers solution

3 0

2 years ago

Which number line correctly shows –0.8 + 0.6? A number line going from negative 1.6 to positive 1.6. An arrow goes from negative

Phoenix [80]

Answer:

Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line

Step-by-step explanation:

which number line shows correctly -0.8 + 0.6?

well lets write it in words minus eight tenths plus six tenths\

so minus:

you go 0.8 units to the left from 0,

then plus:

you go 0.6 units right from -0.8, getting to -0.2

since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:

we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2

4 0

3 years ago

Read 2 more answers

Which three lengths could be the lengths

Fed [463]

Given:

The three lengths in the options.

To find:

Which three lengths could be the lengths of the sides of a triangle?

Solution:

If the sum of two smaller sides is greater than the largest side, then the three sides can form a triangle otherwise the triangle is not possible.

In option A, the three sides are 4 cm, 8 cm, 13 cm. Here, the largest side is 13 cm.

Sum of two smaller sides is:

$4+8=12$

$4+8$

So, the triangle is not possible.

In option B, the three sides are 13 cm, 11 cm, 23 cm. Here, the largest side is 23 cm.

Sum of two smaller sides is:

$13+11=24$

$13+11>23$

So, the triangle is possible.

In option C, the three sides are 5 cm, 18 cm, 12 cm. Here, the largest side is 18 cm.

Sum of two smaller sides is:

$5+12=17$

$5+12$

So, the triangle is not possible.

In option D, the three sides are 25 cm, 8 cm, 16 cm. Here, the largest side is 25 cm.

Sum of two smaller sides is:

$8+16=24$

$8+16$

So, the triangle is not possible.

Therefore, the correct option is B. The three lengths 13 cm, 11 cm, 23 cm could be the lengths of the sides of a triangle.

6 0

3 years ago

What is 1/12 divided by 36

lord [1]

Answer:

link to answer

https://visualfractions.com/calculator/divide-fractions/what-is-1-12-divided-by-36-36/

7 0

2 years ago

Read 2 more answers