Answer:

**Answer:**

**Step-by-step explanation:**

What would be the dimensions of a rectangle with a perimeter of 14

There are twelve signs of the zodiac. How many people must be present for there to be at least a 50% chance that two or more of them were born under the same sign

Need answer to. Add 3x-3and4x^2-6x

Which system of equations has infinitely many solutions? 4 x + 2 y = 5. Negative 4 x minus 2 y = 1. Negative 10 x + y = 4. 10 x minus y = negative 4. Negative 8 x + y = 2. 8 x minus y = 0. Negative x + 2 y = 6. 7 x minus 2 y = 12.

Suppose that salaries for recent graduates of one university have a mean of $26,400$ 26,400 with a standard deviation of $1200$ 1200. Using Chebyshev's Theorem, what is the minimum percentage of recent graduates who have salaries between $22,800$ 22,800 and $30,000$ 30,000? Round your answer to one decimal place.

There are twelve signs of the zodiac. How many people must be present for there to be at least a 50% chance that two or more of them were born under the same sign

Need answer to. Add 3x-3and4x^2-6x

Which system of equations has infinitely many solutions? 4 x + 2 y = 5. Negative 4 x minus 2 y = 1. Negative 10 x + y = 4. 10 x minus y = negative 4. Negative 8 x + y = 2. 8 x minus y = 0. Negative x + 2 y = 6. 7 x minus 2 y = 12.

Suppose that salaries for recent graduates of one university have a mean of $26,400$ 26,400 with a standard deviation of $1200$ 1200. Using Chebyshev's Theorem, what is the minimum percentage of recent graduates who have salaries between $22,800$ 22,800 and $30,000$ 30,000? Round your answer to one decimal place.

**Answer:**

1 whole and 5/8 as a decimal is 1.625

Answer: 1.265

Steps: Convert 1 5/8 to a improper fraction-> 13/5 and dived the numerator by the denominator. 13/5= 1.265

Steps: Convert 1 5/8 to a improper fraction-> 13/5 and dived the numerator by the denominator. 13/5= 1.265

Joshua deposited

(a).** $12.85 in coins **

(b).** $77.14 in checks**

The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

Joshua deposited checks worth** six times **the value of the coins he deposited.

Let Joshua deposit the value of coins be **x**. Then the value of x will be** 6x**

There is **total deposit** of** $90**.

⇒ x + 6x = 90

⇒ 7x = 90

⇒ **=$12.85**

Therefore,

= **$77.14**

Hence, he deposit total** $12.85 in coins **and **$77.14 in checks.**

Learn more about **linear equation** here:

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B. f(x)=2x-4

C. f(x)=-3x+4

D f(x)= 3(2^x)-4

**Answer:**

A. f(x)= 2(3^x)+4

**Step-by-step explanation:**

The linear equations of answer choices B and C will not have a horizontal asymptote. The exponential equation of choice D will have a horizontal asymptote at y=-4.

The appropriate choice is the exponential equation with 4 added:

f(x) = 2(3^x)+4

back in 1 year? Round your answer to the nearest dollar. Do not round at any other point in the solving process; only round

your final answer.

Answer:

$615.72

Step-by-step explanation:

Use the compound interest formula and substitute the given value: A=$500(1+0.21/12)^12(1)

Simplify using order of operations: A=$500(1.0175)^12=$500(1.231439315)

=$615.72

**Answer:**

$558.68

**Step-by-step explanation:**

The amount of each monthly payment is given by the amortization formula:

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

where P is the principal borrowed, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.

We want to find nA where we have n=12, r=0.21, t=1, P=500. Filling in these values, we get ...

nA = Pr/(1 -(1 +r/n)^-n) = $500(0.21)/(1 -1.0175^-12) = **$558.68**

**The total amount needed to repay the loan in 1 year is $558.68**.

The annual growth rates for each factor are:

1. the land required to grow a unit of food, -1% (due to greater productivity per unit of land)

2. the amount of food grown per calorie of food eaten by a human, +0.5%

3. per capita calorie consumption, +0.1%

4. the size of the population, +1.5%.

Required:

At these rates, how long would it take to double the amount of cultivated land needed? At that time, how much less land would be required to grow a unit of food?

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following annual growth rates:

land/food = - 1%

food/kcal = 0.5%

kcal/person = 0.1%

population = 1.5%

Σ annual growth rates = (-1 + 0.5 + 0.1 + 1.5)% = 1.1% = 0.011

Exponential growth in Land :

L = Lo * e^(rt)

Where Lo = Initial ; L = increase after t years ; r = growth rate

Time for amount of cultivated land to double

L = 2 * initial

L = 2Lo

2Lo = Lo * e^(rt)

2 = e^(0.011t)

Take the In of both sides

In(2) = 0.011t

0.6931471 = 0.011t

t = 0.6931471 / 0.011

t = 63.01 years

Land per unit of food at t = 63.01 years

L = Fo * e^(rt)

r = growth rate of land required to grow a unit of food = 1% = 0.01

L/Fo = e^(-0.01* 63.01)

L/Fo = e^(−0.6301)

= 0.5325385 = 0.53253 * 100% = 53.25%

Land per unit now takes (100% - 53.25%) = 46.75%

70

60

50

48

**Answer:**

The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60

**Step-by-step explanation:**

**Given expression;**

52 - 4 of (17 - 12) + 4 × 7

**Find:**

The value of given expression 52 - 4 of (17 - 12) + 4 × 7

**Computation:**

52 - 4 of (17 - 12) + 4 × 7

Using BODMAS rule;

52 - 4 of (17 - 12) + 4 × 7

52 - 4(17 - 12) + 4 × 7

52 - 4(5) + 28

52 - 20 + 28

80 - 20

60

So,

**The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60**