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Ipatiy [6.2K]
2 years ago
9

Hs and Equations: Practice

Mathematics
2 answers:
dexar [7]2 years ago
4 0

Answer:

Retype your question. That question made me nauseous

artcher [175]2 years ago
3 0
Hence, this question is out of my expiurtise ask again
You might be interested in
WhAt is the answer to -12 - 3=-51
svet-max [94.6K]
Greetings!

Simplify both sides of the equation.
-12 - 3=-51
-15 \neq -51

Both sides of the equation are not equal.

Hope this helps.
-Benjamin
7 0
3 years ago
The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your answers to the nearest million.)
BaLLatris [955]

Answer:

A.) 1508 ; 1870

B.) 2083

C.) 3972

Step-by-step explanation:

General form of an exponential model :

A = A0e^rt

A0 = initial population

A = final population

r = growth rate ; t = time

1)

Using the year 1750 and 1800

Time, t = 1800 - 1750 = 50 years

Initial population = 790

Final population = 980

Let's obtain the growth rate :

980 = 790e^50r

980/790 = e^50r

Take the In of both sides

In(980/790) = 50r

0.2155196 = 50r

r = 0.2155196/50

r = 0.0043103

Using this rate, let predict the population in 1900

t = 1900 - 1750 = 150 years

A = 790e^150*0.0043103

A = 790e^0.6465588

A = 1508.0788 ; 1508 million people

In 1950;

t = 1950 - 1750 = 200

A = 790e^200*0.0043103

A = 790e^0.86206

A = 1870.7467 ; 1870 million people

2.)

Exponential model. For 1800 and 1850

Initial, 1800 = 980

Final, 1850 = 1260

t = 1850 - 1800 = 50

Using the exponential format ; we can obtain the rate :

1260 = 980e^50r

1260/980 = e^50r

Take the In of both sides

In(1260/980) = 50r

0.2513144 = 50r

r = 0.2513144/50

r = 0.0050262

Using the model ; The predicted population in 1950;

In 1950;

t = 1950 - 1800 = 150

A = 980e^150*0.0050262

A = 980e^0.7539432

A = 2082.8571 ; 2083 million people

3.)

1900 1650

1950 2560

t = 1900 - 1950 = 50

Using the exponential format ; we can obtain the rate :

2560 = 1650e^50r

2560/1650 = e^50r

Take the In of both sides

In(2560/1650) = 50r

0.4392319 = 50r

r = 0.4392319/50

r = 0.0087846

Using the model ; The predicted population in 2000;

In 2000;

t = 2000 - 1900 = 100

A = 1650e^100*0.0087846

A = 1650e^0.8784639

A = 3971.8787 ; 3972 million people

3 0
3 years ago
Paige made $1411.75 last year by investing a total of $15,250 in two accounts: one paying 8.5% annual interest and the other pay
Umnica [9.8K]
Lets x and y are 2 accounts Paige invested
x account invested with annual interest rate 8.5%
y account invested with annual interest rate 10%

x + y =<span>15,250 so x = 15,250 - y
0.085x + 0.1y = </span><span>1,411.75

substitute </span>x = 15,250 - y into 0.085x + 0.1y = 1,411.75

0.085x + 0.1y = 1411.75
0.085(15,250 - y) + 0.1y = 1,411.75
1,296.25 - 0.085y + 0.1y = 1,411.75
0.015y = 115.5
y = 7,700

x = 15,250 - y
x = x = 15,250 - 7,700
x = 7,550

answer

$7,550 invested on account with annual interest rate 8.5%
$7,700 invested on account with annual interest rate 10%
8 0
3 years ago
Parks department ordered a total of 100 bats and balls. The bats are $20 and balls are $4.50 each. The total invoice was $822.00
Scrat [10]

Answer:

it would be 33 bats and 36 balls !!

Step-by-step explanation:

6 0
2 years ago
Mrs. Abid rented a car for going out of city from a rent-a-car company. The company was charging Rs.1200 per hour. How much Mrs.
Alex_Xolod [135]

Answer:

$9600

Step-by-step explanation:

Given data

Charge per hour=  Rs.1200 per hour

Number of hours = 8 hours

Hence the cost of the rental for 8 hours is

=1200*8

=$9600

8 0
2 years ago
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