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2 years ago

Jeremiah has $80,000 in a savings account. The interest rate is 14% per year and is not

Mathematics

1 answer:

kolezko [41]2 years ago

3 0

Answer:

11,200

Step-by-step explanation:

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Para ir a visitar a los abuelos Paula y Mario se ponen de acuerdo en que Paula vaya cada 5 días y Mario cada 6 días. Si coincidi

photoshop1234 [79]

Answer:

a) January 24(24 de Enero)

b) Paula will have made 5 visits(Paula habrá hecho 5 visitas). Mario will have made 4 visits(Mario habrá hecho 4 visitas).

Step-by-step explanation:

When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.

In this question:

Paula each 5 days

Mario each 6 days

Multiples of 5: {0, 5, 10, 15, 20,25,30, ...}

Multiples of 6: {0, 6, 12, 18, 24, 30, ...}

a) ¿Cuándo volvieron a coincidir?

lcm(5,6) = 30

30 days from December 24, which is January 24(24 de Enero).

b) ¿Cuántas visitas habrá hecho cada uno?

Paula visits each 5 days.

30 is 6th non-zero multiple of 5. This means that on January 24 will be her 6th visit. So she will have made 5 visits.

30 is the 5th non-zero multiple of 6. This means that on January 24 will be her 5th visit. So he will have made 4 visits.

4 0

3 years ago

9x-1 41-5x solve for x

antiseptic1488 [7]

Step-by-step explanation:

question is not understood can u write clearly plzzz

8 0

2 years ago

What is the solution to the system of equations?

kati45 [8]

Answer:

(-2, 5/3)

Step-by-step explanation:

Substitute x with -2 and solve

y = 2/3(-2) + 3

Multiply 2/3 and -2

y = -4/3 + 3

Add

-4/3 + 3 = 5/3

y = 5/3

Final answer:

(-2, 5/3)

6 0

2 years ago

Read 2 more answers

A shelf in the Metro Department Store contains 85 colored ink cartridges for a popular ink-jet printer. Six of the cartridges ar

kvasek [131]

(a) The probability that all 3 are defective in a sample of 3 is:
$P(3)=\frac{6C3}{85C3}=0.00020$

(b) The probability that none are defective is:
$P(0)=\frac{79C3}{85C3}=0.800$
Therefore the probability that at least one is defective is:
1 - 0.800 = 0.200

6 0

3 years ago

Select the correct answer Which table represents the increasing linear function with the greatest unit rate

GrogVix [38]

Step-by-step explanation:

A polynomial function of degree n in the standard form is expressed as

$f(x) \ = \ a_{n}x^n \ + \ a_{n-1}x^{n-1} \ + \ a_{n-2}x^{n-2} \ + \ a_{n-3}x^{n-3} \ + \ \cdots \ + \ \\ \\ \-\hspace{1.37cm} a_{3}x^{3} \ + \ a_{2}x^{2} \ + \ a_{1}x \ + \ a_{0}$ ,

where $a_{n}, \ a_{n-1}, \ a_{n-2}, \ \cdots, \ a_{2}, \ a_{1}, \ a_{0}$ are the coefficients of the polynomial.

* The degree of a polynomial function is the highest power of which the

variable is raised to.

A linear function is a polynomial function of degree 1 in the form

$f(x) \ = \ a_{1}x \ + \ a_{0}$ ,

and is defined geometrically as a straight line where $a_{1}$ is the slope of the line and $a_{0}$ is the y-intercept of the function.

The slope of a linear function, $f(x)$ , measures the constant rate of change of $f(x)$ per unit change in $x$ . In other words, the steepness of the line.

Suppose that the linear function $f(x)$ contains two distinct points $(x_{1}, \ f(x_{1}))$ and $(x_{2}, \ f(x_{2}))$ , then the slope of line defined by the function f is

$\text{slope} \ = \ \displaystyle\frac{f(x_{2}) \ - \ f(x_{1})}{x_{2} \ - \ x_{1}}$ .

A linear function can be defined as increasing, decreasing, or constant.

It is stated that a linear function is increasing if $f(x_{2}) \ > \ f(x_{1})$ for all points $x_{1}$ and $x_{2}$ in its domain such that $x_{2} \ > \ x_{1}$ . In other words, the slope of the function is positive.

A linear function is decreasing if $f(x_{2}) \ < \ f(x_{1})$ for all points $x_{1}$ and $x_{2}$ in its domain such that $x_{2} \ < \ x_{1}$ . In other words, the slope of the function is negative.

A linear function is decreasing if $f(x_{2}) \ < \ f(x_{1})$ for all points $x_{1}$ and $x_{2}$ in its domain such that $x_{2} \ < \ x_{1}$ . In other words, the slope of the function is negative.

A linear function is constant if

$f(x_{2}) \ = \ f(x_{1})$ for all points $x_{1}$ and $x_{2}$ in its domain such that $x_{2} \ > \ x_{1}$ . In other words, the slope of the function is zero and isdescribed geometrically as a horizontal line.
$f(x_{2}) \ > \ f(x_{1})$ for all points $x_{1}$ and $x_{2}$ in its domain such that $x_{2} \ = \ x_{1}$ . In other words, the slope of the function is undefined and is described geometrically as a vertical line.

Given that the linear function of interest is not only an increasing function but also with the greatest unit rate, specifically, the linear function has a positive slope. Furthermore, the magnitude of the slope must also be the greatest.

Now, consider every option to the description of an increasing linear function stated above.

For option A, as x increases, y decreases. Hence, we know that the function has a negative slope.

For option B, similar to option A, as x increases, y decreases. Hence, we know that the function also has a negative slope.

For option C, it is observed that y increases as x increases. Hence, the function has a positive slope. The magnitude of the slope is therefore

$\text{slope(option C)} \ = \ \displaystyle\frac{-15 \ - \ (-24)}{5 \ - \ 2} \\ \\ \-\hspace{2.5cm} = \ \displaystyle\frac{9}{3} \\ \\ \-\hspace{2.5cm} = 3$

This calculation can be stated descriptively as when x increases by 3 units (from 2 to 5), y increases by 9 units (from -24 to -15). Then, the unit rate is 3 units (y increases by 3 units for every 1 unit increase in x).

For option D, similar to option A and B, where y decreases as x increases. Thus, the slope of the function is negative.

For option E, as x increases, y also increases. This implies that the function has a positive slope. The magnitude of the slope is

$\text{slope(option E)} \ = \ \displaystyle\frac{-17 \ - \ (-19)}{6 \ - \ 2} \\ \\ \-\hspace{2.5cm} = \ \displaystyle\frac{2}{4} \\ \\ \-\hspace{2.5cm} = \ \displaystyle\frac{1}{2}$ ,

implying that y increases by 0.5 units for every 1 unit increase in x.

Therefore, the linear function of interest is of option C.

4 0

2 years ago