Lacey opened a savings account and deposited $100.00. The
account earns 6% interest, compounded monthly. If she wants
to use the money to buy a new bicycle in 2 years, how much
will she be able to spend on the bike?
Round your answer to the nearest cent.

Answer:

7.6 ounces of silver

Step-by-step explanation:

Hope this helps :)

There ae 3.6 ounces of Gold in the metal bar.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

A metal bar weighs 24 ounces.

And, 15% of the bar is gold.

Now, We can formulate as;

Amount of gold in the bar is,

⇒ 15% of 24

⇒ 15/100 × 24

⇒ 3.6 ounces

Hence, There ae 3.6 ounces of Gold in the bar.

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Answer:

b) 3w² = 243

Step-by-step explanation:

area = L x w

L = 3w

substitute for L:

243 = 3w x w = 3w²

3w² = 243

Answer:

Step-by-step explanation:

Two boys want to balance a seesaw perfectly. One boy weighs 240 pounds and is sitting four feet from the fulcrum. The other boy weighs 160 pounds. Where should the lighter boy sit to balance the seesaw?

We solve using the formula

Distance on the fulcrum × Weight of the boy

= 4 × 240 = x × 160

4 × 240 = 160x

x = 4 × 240/169

Answer:

400

1.05

Step-by-step explanation:

The athlete should take the second offer.

It is given by the formula,

A = P(1+r)ⁿ

where A is the value after n period of time, P is the initial amount, and,

r is the rate of increment or decrement.

Now, Total amount = $400,000(1+5%)⁷

                    = $400,000(1+0.05)⁷

                    = $400,000(1.4071)

                    = $562840.17

Now, the total amount that the pro-athlete will get in 8 years is,

Total amount = $425,000(1+4%)⁷

                    = $425,000(1+0.04)⁷

                    = $425,000(1.3159)

                    = $559,271

Since the total amount that the athlete will get in the next 8 years is more for the second offer, the athlete should take the second offer.

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Answer:

Step-by-step explanation:

g(x)=[x-4]                     h(x)= [x] -5

                                     h= -5

g=[x-4]

x     x

g=4                      

Answer:

5

Step-by-step explanation:

Experimental probability = number of tunes an event occurred / total number of trials

Experimental probability of getting head :

10 /12 = 0.833333

Expected number of heads from next 6 flips :

Experimental probability = expected number of heads / number of trials

0.833333 = x / 6

0.83333 * 6 = 5

5 times

Answer:

27.5ft

Step-by-step explanation:

a² + b² = c²

Plug in what you have:

a² + 12² = 30²

Get a by itself:

a² = 30² - 12²

Simplify:

a² = 900 - 144

Simplify:

a² = 756

Simplify:

√a = √756

Then you get 27.49 and when you round you get 27.5

Answer:

x=6 and x=-2

Step-by-step explanation:

so

x(x-4)=12

first distribute

then move the terms

and the u get

x=6 and x=-2

hope this helped

Answer:

x=6, x=-2

Step-by-step explanation:

x(x-4)=12

distributive property, x^2-4x=12

x^2-4x-12=0

(x-6)(x+2)

therefore, x=6, x=-2

Answer:

Her results changed because the power increased due to the fact that she reduced variability in her data as a result of using a sample that had lesser variability.

Step-by-step explanation:

She is trying to find if there is difference between people who consumed 1 versus 2 beverages.

Now initially she surveyed 40 people between ages 18 to 38 years and of huge weights and found out there was no difference. However, she decided to run the survey again on only women aged 18 to 22 years with normal body weight.

Since she used a lesser sample size and surveyed only women, it means there will be lesser variability in the result as the sample is smaller and streamlined to only women.

Thus, her result changed because the power increased due to the fact that she reduced variability in her data as a result of using a sample that had lesser variability.

Answer:

how many brain cells do you have compared to the average person?

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

3*12=36

Answer:

x^3+3x^2-46

Step-by-step explanation:

Answer:

∠ H = 59°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

121° is an exterior angle of the triangle, then

6x - 1 + 5x + 12 = 121 , that is

11x + 11 = 121 ( subtract 11 from both sides )

11x = 110 ( divide both sides by 11 )

x = 10

Then

∠ H = 6x - 1 = 6(10) - 1 = 60 - 1 = 59°

Answer:

15°, 16°, 46°, 59°

Step-by-step explanation:

1.) so the entire angle is 89°, then you take off the 44° and the 30°

89° - 44° - 30° = 15°

So the answer to 1 is x = 15°

2.) 90° - 74° = 16°

3.) 180° - 134° = 46°

4.) the angles are vertical, so they're equal:

x = 59°

hope this helps:)

Answer:

9 sec.

Step-by-step explanation:

I think you wrote the equations incorrectly.  It probably is

[tex]h = -16t^{2} + 144t + 100[/tex]

If that is true, then [tex]100 = -16t^{2} + 144t + 100[/tex]

                                    0 = -16[tex]t^{2}[/tex] + 144t

                                       -16t(t - 9) = 0

                                            t = 0 or t = 9

Answer:

Part A: 8 meters

Part B: B, D

Step-by-step explanation:

Answer:

(1,1) (2,2) (1,2) (1,5) (4,4) (4,5)

there are a lot more but those are some.

Step-by-step explanation:

Answer:

Angle K is 55 degrees

Step-by-step explanation:

Angle K corresponds to Angle R

Answer:

752.884 cubic feet

Step-by-step explanation:

Brainliest?

Applying the formula, it is found that the flow rate is of 753 cubic feet per second.

The flow rate is modeled by:

[tex]Q = 3.367lh^{\frac{3}{2}}[/tex]

[tex]Q = 3.367l\sqrt{h^3}[/tex]

In which the parameters are:

In this problem:

Then:

[tex]Q = 3.367l\sqrt{h^3}[/tex]

[tex]Q = 3.367(20)\sqrt{5^3}[/tex]

[tex]Q = 753[/etx]

The rate is of 753 cubic feet per second.

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The density of the soda is 3.6 g/cm³

Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.

Given that, a cylindrical glass of soda has a mass of 700g. The glass itself has a mass of 80g, the glass has a radius of 4 cm and a height of 8 cm,

We are asked to find the density of the soda,

Density = mass / volume

Volume = 2π×radius×height

Therefore,

Density = 700/2π×4×8 [we will not add the mass of glass because we need to find the density of soda only]

Density = 700/194.68

= 3.59

= 3.6

Hence, the density of the soda is 3.6 g/cm³

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Answer:

D) 8

Step-by-step explanation:

We're looking for [tex]x[/tex], which means the 7x and 5x will have the SAME x.

7(8) = 56

For the C corner, it is cornered as a 90 degree angle, so that means the (7x) + 34 degrees NEEDS to equal 90.

7(8) = 56 + 34 = 90!!

Now we have to see if 5(8) is correct

5(8) = 40 + 50 [The degree mark] = WHICH EQUALS 90 TOO..

Therefore, the answer is D) 8

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

I believe

D. Pyramid

Is the answer I did it in 6th or 7th grade

Step-by-step explanation:

Square is flat so no height.  

Line segment is a flat line so no height  

point is a literal dot  

pyramid is a 3d figure so it would have all of the attributes

We both helped right?

Answer:

Pyramid

Step-by-step explanation:

Square is flat so no height.

Line segment is a flat line so no height

point is a literal dot

pyramid is a 3d figure so it would ahve all of the attributes

Answer:

The standard method for solving an equation like 3x + 5 = 26 is to use the Subtraction Property of Equality and then the Division Property of Equality.

Step-by-step explanation:

To solve, you subtract both sides by 5 first. Then you divide both sides by 3 to isolate the x.

Answer:

a, d, e

Step-by-step explanation:

on usatestprep

The features of the function are given as follows:

Horizontal asymptote: y = 5.

Vertical asymptote: x = 2.

x-intercept: No x-intercept.

y-intercept: (0,-5).

Hole: No holes.

The horizontal asymptote is the limit of f(x) as x goes to infinity. To obtain this limit, we consider only the terms with the highest exponent of the numerator and of the denominator, hence:

here, we have,

g(x) = -5x/x -> y = 5 is the horizontal asymptote.

The vertical asymptote is the value of x for which the function is not defined, hence it is the zero of the denominator, thus:

x - 2 = 0 -> x = 2.

The x-intercept is the point (x,0), in which x is found when y = 0, hence:

-5x + 10 = 0

-5x = -10

5x = 10

x = 2.

However, the function is not defined at x = 2, meaning that it has no x-intercept.

The y-intercept is the value of y when x = 0, hence:

y = 10/-2 = -5.

The coordinates are (0,-5).

The entire function can be simplified as follows:

(-5x + 10)/(x - 2) = [-5(x - 2)]/(x - 2) = -5.

Meaning that the function has no holes.

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complete question:

Determine each feature of the graph of the given function.

f(x) = -5+10

2

Horizontal Asymptote: y =

Vertical Asymptote: x =

x-Intercept:

y-Intercept: (0,

Hole: (

,0)

No horizontal asymptote

No vertical asymptote

No x-intercept

No y-intercept

No hole

Answer:

A. x² +10x +25

B. x² - 25

C. 5x² -5x + 25

D. x²- 10x + 25

Step-by-step explanation:

A. (x+5)(x+5)

x² + 5x + 5x + 25

x² +10x + 25

B. (x-5)(x+5)

x² + 5x - 5x - 25

x² -25

C. 5(x² -x +5)

5x² -5x + 25

D. (x-5)(x-5)

x² - 5x -5x + 25

x²- 10x + 25

Answer:

1) y = -7/10x + 21

Step-by-step explanation:

1)

Points (5, 7) and (15, 0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0-7)/(15-5)

m=(-7)/10

m= -7/10

Slope-intercept:

y - y1 = m(x - x1)

y - 7 = -7/10(x - 5)

y - 7 = -7/10x + 14

y = -7/10x + 21