PLEASE HELP ME i need help asap !!!

A city determines that a planned community must have at least 4 acres of developed and open space, and the difference between th

Bezzdna [24]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ----> the number of open acres

y ----> the number of developed acres

we know that

$x+y \geq 4$ -----> inequality A

The solution of the inequality A is the shaded area above the solid line $x+y=4$

$y-x\leq 1$ -----> inequality B

The solution of the inequality B is the shaded area below the solid line $y-x=1$

so

The graph in the attached figure

3 0

3 years ago

Read 2 more answers

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

3 years ago

Read 2 more answers

I am not sure about this problem?

uranmaximum [27]

The answer for your question is 4x^2-15x+6+ 2/3x+5

3 0

3 years ago

For } (x) = 4x+1 and g(x) = x2 -5, find (f/g)(x)

matrenka [14]

Answer:

Step-by-step explanation:

4x + 1

The quotient (f/g)(x) is (f/g)(x) = ---------------

x^2 - 5

Note that x^2 means "square of x," whereas "x2" is ambiguous.

7 0

3 years ago

Natalie paid $20.7 for 3 small pizzas and a salad which was $3.

zysi [14]

20.70=3p+3
17.70=3p
$5.90=p
So if you only needed the equation to describe the word problem it is
$20.70=3p+3

If you want to know how much each pizza was it is $5.90; salad $3.00

6 0

3 years ago