If lucas puts $1500 in a saving account that pays 3% interest compounded annually, how much money will he have in the account after 5 years?

Answer:

0.28$

Step-by-step explanation:

divide

Answer:

The first one is the answer

Answer:

Step-by-step explanation:

example

we are given: slope = 5, y-intercept = 9

y=mx+b

we just plug it in

y=5x+9

Answer:

10x=50+6x more than 10

Step-by-step explanation:

Answer:

314,880

Step-by-step explanation:

If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.

Answer:

314880

Step-by-step explanation:

Answer:

y=75° (opposite angle of parallelogramare equal)

x+8=16(opposite sides are equal)

x=16-8

x=8

Answer:

y=75

x=8

Step-by-step explanation:

Hope this helped!

Answer:

p=-9

Step-by-step explanation:

11= p-7-3p

you can slove p-3p now which is -2p, then add -7 to both sides.

18=-2p

then divide by -2

p=-9

9514 1404 393

Answer:

  5/12

Step-by-step explanation:

Since Pedro had 1/3 of the book remaining at the end of the day, he had read a total of 2/3 of the book. If n represents the amount read at night, you have ...

  1/4 + n = 2/3

  3 +12n = 8 . . . . . multiply by 12

  12n = 5 . . . . . . . .subtract 3

  n = 5/12 . . . . . .  divide by 12

Pedro read 5/12 of the book at night.

_____

Since Pedro reads only a fraction of the book, it is not a "mixed number."

__

The solution is equivalent to finding the difference ...

  2/3 - 1/4

  = 8/12 - 3/12 = 5/12

Answer:

option 2

angles B and D are the alternate interior angles

lines DE and AB being parallel lines and and line BC being the transversal

Answer:

The answer is B and D

Step-by-step explanation:

Confirmed

Answer:

One possible solution be -

Mrs. Cho is brings type A cans = 10

Mrs. Cho is brings type B cans =  3

Step-by-step explanation:

Let us assume

Mrs. Cho is brings type A cans = x

Mrs. Cho is brings type B cans = y

As given,

For a type A can, she gets 5 cents and For type B can, she gets 10 cents

As we have x Type A cans and y Type B cans

And she has redeemed  no more than 95 cents

⇒5x + 10y ≤ 95           .......(1)

Also given,

She has redeemed at least 11 cans

⇒ x + y ≥ 11           ........(2)

∴ we get

x + y ≥ 11  

5x + 10y ≤ 95

By applying graphical method , we get

The equations become

5x + 10y = 95       .......(1)

x + y = 11              ........(2)

Table for equation (1) -

x                   y

0                    9.5

19                    0

Table for equation (2) -

x               y

0              11

11              0

The two lines intersect at point (3, 8)

So the possible combinations are in the shaded portion which is covered by both the lines.

One possible combination is ( 10, 3) which lies in the shaded region.

So,

Mrs. Cho is brings type A cans = x = 10

Mrs. Cho is brings type B cans = y = 3

Answer:

[tex]\displaystyle y' = -2x^3 + 9x^2 - 2[/tex]

General Formulas and Concepts:    

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus  

Derivatives    

Derivative Notation    

Derivative of a constant is 0    

Basic Power Rule:    

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = -\frac{x^4}{2} + 3x^3 - 2x - 12[/tex]

Step 2: Differentiate

Answer:

C is right

Step-by-step explanation:

:))

Answer:

I think is 15.39 kilometers

Step-by-step explanation:

1 hour=60 minutes +.5 hours =90 minutes = 9 x 1.71 = 15.39

answer : linear

source: trust me people

Answer:

Counting my money

Step-by-step explanation:

Answer: You use it in gardening if you need to plant or sow new seeds or seedlings you need to make a row or count them out or even make holes. So even without thinking you are doing math. Measuring skills is always needed, and calculations of the essence when doing something new in the garden. You also use in it the kitchen Every ingredient has to be measured and sometimes you need to multiply or divide to get the exact amount you need.

Answer:

45

Step-by-step explanation:

Answer:

30 + 70 + 2x-10=180

90+2x=180

2x=180-90

x=90/2

x=45

X=45

Hope it helps

Answer:

734622-8x

Step-by-step explanation:

Answer:

2v^9

I think this is the answer, I'm sorry if it's wrong :(

Answer:

Step-by-step explanation:

=-9+7i+5+i

=-4+8i

Answer:

It's indeterminate; because a negative number can't have an rational root when goes under an even radical.

Answer:

Step-by-step explanation:

Arcs in the circle sum to 360°

Answer:

a.The diagonals are congruent.

d. Opposite angles are congruent.

Step-by-step explanation:

From the above question, we are told that:

All the sides of a quadrilateral measure 5 cm.

This means this quadrilateral is a square.

The properties of a square states that:

1) Opposite sides of a square are equal each other or congruent.

2) Opposite angles are equal each other or congruent

3) Consecutive angles of a square are supplementary angles which means that they add up to 180.

4) A square has two diagonals and they are congruent or equal to one another.

Therefore, the correct options are options a and d

Answer:

P=−0.001x+3−1800/x

Step-by-step explanation:

Write the problem as a mathematical expression.

P(x)=−0.001x²+3x−1800/x

Divide each term in Px=−0.001x²+3x−1800 by x.

Px/x=−0.001x²/x + 3x/x + −1800/x

Cancel the common factor of x.

P=−0.001x²/x+3x/x + −1800/x

Simplify each term.

P=−0.001x+3−1800/x

Answer:

about 32.71 feet

Step-by-step explanation:

see attached picture

The height of the building is 32.7 ft.

Given that, a window washer on a ladder looks at a nearby building 102 ft away, noting that the angle of elevation to the top of the building is 13.7° and the angle of depression to the bottom of the building is 4.4°.

We need to find the height of the building.

So if we know the height of the object and the linear distance, we can easily find out the angle by trigonometric formula. It is given by tan = Height / distance.

Now, tan 4.4°=x/102

⇒x=7.84 ft

tan 13.7°=y/102

⇒y=24.86 ft

Height of the building=x+y=7.84+24.86=32.7 ft

Therefore, the height of the building is 32.7 ft.

To learn more about trigonometric ratios visit:

https://brainly.com/question/23130410.

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Answer:

the range of this answer is 5.6

Answer:

437.3 ft

Step-by-step explanation:

By sine rule:

[tex] \frac{x}{ \sin(90 - 29) \degree} = \frac{500}{ \sin \: 90 \degree} \\ \\ \frac{x}{ \sin 61 \degree} = \frac{500}{1} \\ \\ x = 500\sin 61 \degree \\ \\ x = 500 \times 0.8746197071 \\ \\ x = 437.309854 \\ \\ x = 437.3 \: ft[/tex]

Answer:

Step-by-step explanation:

ΔA = 90° - 29°

= 61°

sin A = perpendicular ÷ hypotenuse

sin 61° = x ÷ 500 ft

0.8746 = x ÷ 500 ft

x = 500 × 0.8746

x = 437.3 ft

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Answer:

1: b. YZ, see "geometric mean theorem" in Wikipedia

2: a. sin Y = 7.4/10.9 ≈ 0.68,  sine = opposite/hypotenuse

3: c. tan P = 8.5/16 ≈ 0.53, tangent=opposite/adjacent

4: a. AC = 11.7, sine = opposite/hypotenuse, sin(43) = 8/AC

5. KM = 10.68 use Pythagorean Theorem

measure of angle M = 35 degrees, use definition of tangent

measure of angle K = 55 degrees,  M and K are complementary angle

Step-by-step explanation:

i hope this help

The term that completes the equation is YZ.

Option D is the correct answer.

We have,

From the figure,

∆WXY and ∆XYZ

∠WXY = ∠XZY = 90

∠ZYX = ∠XYW (common angle)

∆WXY ≅ ∆XYZ

And,

∆WXY and ∆WXZ

∠WXY = ∠WZX = 90

∠YWX = ∠XWZ (common angle)

∆WXY ≅ ∆WXZ

Now,

From (1) and (2),

∆XYZ ≅ ∆WXZ

This means,

The corresponding sides are proportional.

We can write as,

YZ/XZ = XZ/ZW

XZ² = WZ x YZ

Thus,

The term that completes the equation is YZ.

Learn more about triangle congruency here:

https://brainly.com/question/12413243

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Answer:

Y intercept : ( 0 , 25 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need to convert function to slope-intrcept form y=mx+b, where:

-0.4x + 0.05y - 1.25 = 0         {multiply both sides by 20}

-8x + y - 25 = 0                    {add (8x+25) to both sides}

y = 8x + 25     ⇒   b = 25

Therefore y-intercept of the line is (0, 25)

Answer:

25% of 3030 is 757.5, so basically she is saving 757.5 dollars