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2 years ago

Here are six numbers-4, -2, -1, 5, 6, 8Arrange the card into three pairs with the same total

Mathematics

2 answers:

Usimov [2.4K]2 years ago

7 0

ANSWER 8-4 5-1 6-2

Step-by-step explanation:

Murljashka [212]2 years ago

6 0

Answer:

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Question: How long does it take an investment to quadruple in value if it earns 4% simple interest per year?

Assoli18 [71]

Answer:

It takes 75 years for the investment to quadruple in value

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

In this question:

4% simple interest per year, so I = 0.04.

Quadruple:

t when T = 4P.

The interest earned is:

$T = E + P$

$4P = E + P$

$E = 3P$

Now we find the time.

$E = P*0.04*t$

$3P = P*0.04*t$

$0.04t = 3$

$t = \frac{3}{0.04}$

$t = 75$

It takes 75 years for the investment to quadruple in value

7 0

2 years ago

Solve x²-x-30=0 using the factorisation method.

Furkat [3]

Answer:

Step-by-step explanation:

x²-x-30=0

x² - 6x + 5x - 30 = 0

(x² - 6x) + (5x - 30) = 0

x(x - 6) + 5(x - 6) = 0

(x + 5)(x - 6) = 0

x + 5 = 0 or x - 6 = 0

x = -5 or x = 6

8 0

3 years ago

8x^2-x^3<br> Help me I need the answer

mario62 [17]

Answer:

-x^2(x-8)

Step-by-step explanation

7 0

2 years ago

Use n for " a number " three increased by the quotient of a number and two

Naily [24]

Answer:

$3+\dfrac{n}{2}$

Step-by-step explanation:

Let the number is n.

ATQ,

The quotient of a number and two means n/2

Something is increased means plus.

It means,

The required expression is : $3+\dfrac{n}{2}$ . Hence, this is the required solution.

7 0

2 years ago

In this exercise, we estimate the rate at which the total personal income is rising in the Richmond-Petersburg, Virginia, metrop

babymother [125]

Answer:

The rate at which the total income is increasing is$1627415600

Step-by-step explanation:

From the given data

Population in the area=P=961400

The rate of increase in population=dP/dt=9200

The Average Income=I=$30593

The rate of increase in Average Income=dI/dt=$1400

Now the total income is given as

Total Income=TI=PI

So the rate of increase of total personal income is given as $\frac{d}{dt}(PI)$

From the product rule of derivatives

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}$

Here

I is the Average Income which is given as $30593

dI/dt is the rate of increase of income which is given as $1400.

P is the population of the area which is given as 961400

dP/dt=9200 is the rate of increase of population which is given as 9200

By substituting the values,

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}\\\frac{d}{dt}(P*I)=30593*9200+961400*1400\\\frac{d}{dt}(P*I)=\$1627415600$

So the rate at which the total income is increasing is$1627415600

8 0

3 years ago