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3 years ago

6

Lamar deposits $800 into an account that pays simple interest at a rate of 4% per year. How much interest will he be paid in the

first 4 years? Please answer with an explanation.

2 answers:

Aleks [24]3 years ago

6 0

The equation is total interest= principal*interest rate*time,,i=prt,,I=800*0.04*4=128

notka56 [123]3 years ago

4 0

Maybe try dividing the equations

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An object of mass 2020 kg is released from rest 30003000 m above the ground and allowed to fall under the influence of gravity.

Liono4ka [1.6K]

Answer:

Equation of motion

x(t) = -9.81*t + 3000

The object will strike the ground in 305.81 sec

Step-by-step explanation:

a) Determine the equation of motion of the object

If x(t) repsent the distance the object has fallen in t seconds, then we have x'(t) and x''(t) represent the speed and acceleration respectively.

Since the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 50 N-sec/m, we have

<em>F(t) = 50x'(t) </em>(1)

Due to Newton's 2nd law of motion (assuming the mass remains constant )

<em>F(t) = mx''(t) = 50x''(t) </em>

As the mass was released from rest, <em>the acceleration is the gravity</em>, and

<em>F(t) = 50*(-9.81) = -490.5 N/m </em>

The negative sign is due to the fact that the mass is falling downwards.

Replacing in (1) we get

<em>-490.5 = 50x'(t) ===> x'(t) = -9.81 m/sec </em>

and

<em>x'(t) = -9.81 m/sec </em>

This is a simple differential equation which can be solved directly by integration

<em>x(t) = -9.81*t + C </em>

where C is a constant, but we know that x(0) = 3000 m, so

<em>C = 3000 </em>

We then have our final equation of motion which is

x(t) = -9.81*t + 3000

b) When will the object strike the ground?

The object will strike the ground for the instant t for which x(t) = 0

<em>x(t) = 0 ===> 9.81*t = 3000 ===> t = 3000/9.81 ===> </em><em>t = 305.81 sec </em>

3 0

3 years ago

3x+5(2+x)=4x-7 help me out here?

Oksi-84 [34.3K]

Answer:

x = -17/4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

3x + 5(2 + x) = 4x - 7

<u>Step 2: Solve for </u><em><u>x</u></em>

[Distributive Property] Distribute 5: 3x + 10 + 5x = 4x - 7
[Addition] Combine like terms: 8x + 10 = 4x - 7
[Subtraction Property of Equality] Subtract 4x on both sides: 4x + 10 = -7
[Subtraction Property of Equality] Subtract 10 on both sides: 4x = -17
[Division Property of Equality] Divide 4 on both sides: x = -17/4

6 0

3 years ago

Read 2 more answers

Identify the shape (Be specific)

olchik [2.2K]

I think the shape is an right angel. And for the answer to h is 90° and i think for b it is 45°. I hope this helps :)

8 0

3 years ago

Find the indicated probability. Round to three decimal places. The participants in a television quiz show are picked from a larg

Arturiano [62]

Answer:

0.033

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, p = 0.5, q = 0.5, and n = 11.

We need to find P when r is 0, 1, and 2, then add up the results to get the total probability.

r = 0:

P = ₁₁C₀ (0.5)⁰ (0.5)¹¹⁻⁰

P ≈ 0.0005

r = 1:

P = ₁₁C₁ (0.5)¹ (0.5)¹¹⁻¹

P ≈ 0.0054

r = 2:

P = ₁₁C₂ (0.5)² (0.5)¹¹⁻²

P ≈ 0.0269

Therefore, the total probability is:

P = 0.0005 + 0.0054 + 0.0269

P = 0.0328

Round to the thousandths place, the probability is 0.033.

3 0

3 years ago

Given ΔABC with A(–4, –2), B(4, 4), and C(18, –8), write the equation for the line containing median segment The term is line se

Monica [59]

Here we want to find the equation of the line containing the median CP.

P, being the midpoint of AB can be found using the midpoint formula as:

$\displaystyle{ P=( \frac{-4+4}{2} , \frac{-2+4}{2} )=(0, 1)$ .

The slope m of the line through CP can be found by the slope formula using points C(18, -8) and P(0, 1):

$\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{-8-1}{18-0}= \frac{-9}{18}= \frac{-1}{2}$ .

Now, we can write the equation of the line with slope -1/2, passing through
P(0, 1):

$y-1= \frac{-1}{2}(x-0)\\\\y= -\frac{1}{2}x+1$ .

Answer: $y=-\frac{1}{2}x+1$

5 0

3 years ago