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4 years ago

8

The beginning balance in a person's savings account was 3600 dollars. After making a withdrawal of 400 dollars but earning inter

est of 16 dollars, what was the new balance in the account?

1 answer:

serious [3.7K]4 years ago

7 0

Answer:

The answer would be 3216.

Step-by-step explanation:

You subtract 400 from 3600 to get 3200. You add 16+ to the answer. Then you get 3216. Voila.

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Researchers at a lake have determined that the percentage of fish in the lake that are intolerant to pollution can be estimated

dusya [7]

Answer:

a. 23.02 %

b. 49%

c. W

Step-by-step explanation:

Solution:-

- A multi-variable function for the percentage of fish in the lake that are intolerant to the pollution is given as:

$P ( W , R , A ) = 49 - 1.61W - 1.41R - 1.38A$

Where,

W: percentage of wetland

R: percentage of residential area

A: percentage of agriculture

- We are to evaluate the percentage of fish intolerant to pollution in the case where W = 3 , R = 15 , A = 0. We will plug in the values in the modeled function P ( W , R , A ) as follows:

$P ( 3 , 15 , 0 ) = 49 - 1.61*3 - 1.41*15 -1.38*0\\\\P ( 3 , 15 , 0 ) = 23.02\\$

- To determine the maximum percentage of fish that will be intolerant to pollution we will employ the use of critical points. The critical point that is defined by the linear relationship between P and all other parameters ( W, R , A ). The maximum value occurs when W = R = A = 0.

$P ( 0 , 0 , 0 ) = 49 - 1.61*0 -1.41*0 - 1.38*0 = 49$

- Hence, the maximum value of the function is 49%.

- The linear relationship between each induvidual parameter ( R, W , A ) and the function ( P ) is proportional in influence. The extent of influence can be quantized by the constant multiplied by each parameter.

- We see that that ( 1.61*W ) > ( 1.41R ) > ( 1.38A ). The greatest influence is by parameter ( W ) i.e the influence of percentage of wetlands .

6 0

3 years ago

Help- ASAP please (25 points)

Alina [70]

Answer:

(t^2 -4) (t^2 +4)

(t-2)(t+2)(t^2+4)

Step-by-step explanation:

t^4 - 16

We can write this as the difference of squares

We know the dfference of squares is

(a^2 - b^2) = (a-b) (a+b)

( t^2 ^2 - 4^2) = (t^2 -4) (t^2 +4)

We can write t^2 -4 as the difference of squares

t^2 -4 = t^2 -2^2 = (t-2)(t+2)

Replacing this in

( t^2 ^2 - 4^2) = (t^2 -4) (t^2 +4) = (t-2)(t+2)(t^2+4)

8 0

4 years ago

Read 2 more answers

What is the product of (2x - 1) (x + 4)

nikdorinn [45]

Answer: 2 $x^{2}$ +7x-4

Step-by-step explanation:

Product implies multiplication so just multiply it out.

(2x-1) (x+4)

2x^2+8x-1x-4 (Combine like terms)

2x^2+7x-4

8 0

2 years ago

Ten percent of 140,000 = ?

Ostrovityanka [42]

Answer:

14000

Step-by-step explanation:

Of means multiply

10% * 140000

Change to decimal form

.10 * 140000

14000

4 0

3 years ago

Read 2 more answers

The length of the guy why supporting a cell tower is 120 m the guy wire is anchored to the ground at a distance of 80 m from the

Katarina [22]

Complete Question

The length of the guy wire supporting a cell tower is 120 m. The guy wire is anchored to the ground at a distance of 80 m from the base of the tower to the nearest hundredth of a meter how tall is the tower?

Answer:

89.44m

Step-by-step explanation:

We solve this question using the Pythagoras Theorem

This is given as:

Hypotenuse² = Opposite ² + Adjacent ²

Hypotenuse = Length of the guy wire = 120m

Adjacent = Distance from the base of the tower = 80m

Opposite = Height of the building = x

Hence:

120² = x² + 80²

Collect like terms

x² = 120² - 80²

x = √120² - 80²

x = √(8000)

x = 89.4427191 m

Approximately the height of the tower is = 89.44m

6 0

4 years ago