Find the height of the triangle in which A=192 cm^2

The value of Maggie’s car decreased by 20% since last year when she bought it if the car is not worth 21,000 how much was the ca

leonid [27]

Answer:

Step-by-step explanation:

You would do 21,000×0.20, which equals 4,200. Since 4,200 equals 20% of 21,000, then you would do 21,000-4,200, which equals 16,800. So the car is worth $16,800 dollars this year.

6 0

2 years ago

Exponential growth can anyone give the answers to me? I’m completely lost!

PilotLPTM [1.2K]

Answer:

Q1

The exponential growth model for frogs:

F(x) = 100(1.22)ˣ,

F- number of frogs, x- number of years, 1.22 - growth factor

Calculations:

F(5) = 100(1.22)⁵ = 270
a) F(10) = 100(1.22)¹⁰ = 730
b) F(20) = 100(1.22)²⁰ = 5335

All numbers rounded

Q2

The exponential growth model for bacteria:

B(x) = 10(1.8)ˣ

B- number of bacteria, x- number of hours, 1.8 - growth factor

Calculations:

a) B(5) = 10(1.8)⁵ = 189
b) B(24) = 10(1.8)²⁴ = 13382588
c) B(168) = 10(1.8)¹⁶⁸ = 7.68 * 10⁴³

All numbers rounded

Q3.

The exponential growth model for fish:

F(x) = 821(1.02)ˣ,

F- number of fish, x- number of months, 1.02 - growth factor

Calculations:

a) F(12) = 821(1.02)¹² = 1041
b) F(120) = 821(1.02)¹²⁰ = 8838

All numbers rounded

3 0

2 years ago

Read 2 more answers

Plz help me with 52 a and b

8090 [49]

A equals 54
im thinking b equals 12 but i could be wrong
a is right though

4 0

3 years ago

Read 2 more answers

Which of the numbers listed below are solutions to the equation? Check all that apply. x2 = 81 A. 18 B. 40.5 C. -9 D. 162 E. 9 F

Murljashka [212]

X^2 = 81...take the square root of both sides, eliminating the ^2
x = (+-) sqrt 81
x = (+-) 9

answers are : -9 and 9

3 0

3 years ago

Read 2 more answers

Last year, Keiko had $20,000 to invest. She invested some of it in an account that paid %7 simple interest per year, and she inv

erma4kov [3.2K]

Answer:

$P_2 = \$6,000\\P_1 = \$14,000$

Step-by-step explanation:

The formula of simple interest is:

$I = P_0rt$

Where I is the interest earned after t years

r is the interest rate

$P_0$ is the initial amount

We know that the investment was $20,000 in two accounts

_______________________________________________

For the first account r = 0.07 per year.

Then the formula is:

$I_1 = P_1r_1t$

Where

$P_1$ is the initial amount in account 1 at a rate $r_1$ during t = 1 year

$I_1 = P_1(0.07)(1)\\\\I_1 = 0.07P_1$

For the second account r = 0.05 per year.

Then the formula is:

$I_2 = P_2r_2t$

Where

$P_2$ is the initial amount in account 2 at a rate $r_2$ during t = 1 year

Then

$I_2 = P_2(0.05)(1)\\\\I_2 = 0.05P_2$

We know that the final profit was I $1,280.

So

$I = I_1 + I_2=1,280$

Substituting the values $I_1$ , $I_2$ and I we have:

$1,280 = 0.07P_1 + 0.05P_2$

As the total amount that was invested was $20,000 then

$P_0 = P_1 + P_2 = 20,000$

Then we multiply the second equation by -0.07 and add it to the first equation:

$0.07P_1 + 0.05P_2 = 1.280\\.\ \ \ \ \ \ \ \ +\\-0.07P_1 -0.07P_2 = -1400\\-------------$

$-0.02P_2 = -120\\\\P_2 = 6,000$

Then $P_1 = 14,000$

4 0

3 years ago