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4 years ago

PLZ HELP ASAP PLZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Serhud [2]4 years ago

7 0

Answer:

180 degree rotation about the origin.

Step-by-step explanation:

Note that each coordinate ( x and y) have their sign changed form positive to negative. This is a rotation about the origin of 180 degrees.

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Five brothers wanted to share a parcel of land inherited for their late father. The first born received ¼ of the parcel. The sec

Dmitry [639]

Step-by-step explanation:

Let the size of their father's land be x.

The first born received x/4

The second, third and fourth born each received 1/6 * (x - x/4) = 3x/24 = x/8

The portion received by the last born = x - (x/4 + 3*x/8) = x - (x/4 + 3x/8) = x - (5x/8) = 3x/8

3x/8 = 3hectares

3x = 24

x = 8.

. : The initial size of the parcel land was 8 hectares.

6 0

3 years ago

5(3x + 5)<br><br> ( Please Help )

BARSIC [14]

A(b+c) = ab + ac

5(3x + 5) = 15x + 25

7 0

3 years ago

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,637 miles, with a variance

Brut [27]

Answer:

$P(x < -778) = 0$

Step-by-step explanation:

Given

$\bar x = 48673$

$\sigma^2 = 11282880$

$n = 143$

Required

$P(x$

First, we calculate the z score

$z = \frac{x}{\sqrt{\sigma^2}/n}$

So, we have:

$z = \frac{-778}{\sqrt{11282880}/143}$

$z = \frac{-778}{3359.0/143}$

$z = \frac{-778}{23.49}$

$z = -33.12$

So:

$P(x < -778) = P(z < -33.12)$

From z score probability, we have:

$P(x < -778) = 0$

4 0

3 years ago

George is considering two different investment options. The first offers 7.4% per year simple interest on the initial deposit. T

pentagon [3]

Answer:

Part A) $\$12,220.00$

Part B) $\$12,134.08$

Part C) The simple interest investment is better than the compounded interest investment at the end of three years.

Part D) see the explanation

Step-by-step explanation:

Part A) Determine the value of the simple-interest investment at the end of three years

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=3\ years\\ P=\$10,000\\r=7.4\%=7.4/100=0.074$

substitute in the formula above

$A=10,000(1+0.074*3)$

$A=10,000(1.222)$

$A=\$12,220.00$

Part B) Determine the value of the compound-interest investment at the end of three years

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=3\ years\\ P=\$10,000\\r=6.5\%=6.5/100=0.065\\n=4$

substitute in the formula above

$A=10,000(1+\frac{0.065}{4})^{4*3}$

$A=10,000(1.01625)^{12}$

$A=\$12,134.08$

Part C) Which investment is better over the first three years?

Compare the two investment

$\$12,134.08 < \$12,220.00$

The compounded interest investment is less than the simple interest investment

therefore

The simple interest investment is better than the compounded interest investment at the end of three years

Part D) How would you advise George to invest his money if he is unsure how long he’ll keep the money in the account?

we have

$A=10,000(1+0.074t)$ ----> simple interest formula as a function of the time t

$A=10,000(1.01625)^{4t}$ ----> compound interest formula as function of the time t

Look to the attached graph below

The red line represents the simple interest investment

The blue curve represents the compounded interest investment

After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest

After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest

therefore

I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

4 0

3 years ago

Write the ratio as a fraction in lowest terms. <br> 21 to 7one half

Nookie1986 [14]

21/7.5 = 2.8

2.8 in fraction is 2 8/10

2 8/10 in lowest terms is 2 4/5

hope this helps

6 0

3 years ago

Read 2 more answers