How much money is 15% of $14.90
SHOW YOUR WORK

Answer:

4.5%

Step-by-step explanation:

compound interest formula:

[tex]PV(1+\frac{i}{n})^{t*n}[/tex]

[tex]220=160(1+\frac{x}{365})^{365*7}\\\\1.375=(1+\frac{x}{365})^{2555}\\1.0001246=1+\frac{x}{365}\\x=.0454962254126[/tex]

this rounds to

x=4.5%

Aubrey would need an interest rate of 6.3%.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

A = P [tex](1 + r/n)^{nt}[/tex]

A = the final amount (in this case, $220)

P = the initial investment (in this case, $160)

r = the interest rate (what we are trying to find)

n = the number of times the interest is compounded per year (since it's compounded daily, n = 365)

t = the time period (in years, in this case, 7)

Substituting in the given values and solving for r:

220 = 160(1 + r/365)^(3657)

220/160 = (1 + r/365)^(3657)

1.375 = (1 + r/365)^2555

ln(1.375) = 2555 ln(1 + r/365)

ln(1 + r/365) = ln(1.375)/2555

1 + r/365 = e^(ln(1.375)/2555)

r/365 = e^(ln(1.375)/2555) - 1

r = 365(e^(ln(1.375)/2555) - 1)

r ≈ 6.3%

Therefore,

Aubrey would need an interest rate of 6.3%.

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Answer:

9.6

Step-by-step explanation:

I think!

Answer:

D. 100 cubic units

Step-by-step explanation:

There are 10 cubes in each layer (count at the top) and 10 layers (from top to bottom) in total. Multiply these to get volume.

10 x 10 =100

Answer:

B. 60 cubic units

Step-by-step explanation:

Formulas for a cube:

The volume of a cube:

V = a3

The surface area of a cube:

the area of each face (a x a) times 6 faces

S = 6a2

Face diagonal of a cube:

By the Pythagorean theorem, we know that

f2 = a2 + a2

Then f2 = 2a2

solving for f we get

f = a√2

Diagonal of the solid cube:

Again, by the Pythagorean theorem, we know that

d2 = a2 + f2

substituting f into this equation we get

d2 = a2 + (a√2)2 = a2 + 2a2 = 3a2

solving for d we get

d = a√3

Answer:

x ≤ –6 and x ≥ 1

Step-by-step explanation:

Answer:

[tex]x + y \ge 10[/tex]

[tex]x + 2y \le 20[/tex]

Step-by-step explanation:

The question is incomplete as the graphs are not shown. So, I will derive the inequalities and plot the graph.

Given

[tex]Banana = \$1[/tex]

[tex]Orange = \$ 2[/tex]

[tex]Purchase = 10lb[/tex] --- At least

[tex]Spedings = \$20[/tex] --- Not more than

And we have:

[tex]x = Banana; y = Orange[/tex]

The number of purchase will be represented as:

[tex]x + y \ge Purchase[/tex] ---- (at least)

[tex]x + y \ge 10[/tex]

The amount spent will be represented as;

[tex]1 * x + 2 * y \le 20[/tex] --- (not more than)

[tex]x + 2y \le 20[/tex]

So, the inequalities are:

[tex]x + y \ge 10[/tex]

[tex]x + 2y \le 20[/tex]

See attachment for graph

Answer:

y =-10

Step-by-step explanation:

because there is no value of x so the slope of y is-10

Answer:

25km/h

Step-by-step explanation:

It would be helpful to understand the 24 hour clock in this case so you don't get confused by the AM and PM. For reference, 5 AM is technically 17AM, since 5 + 12 = 17.

The ship departed at 9pm, subtract that from 17 and you'll get 8 hours.

17 - 9 = 8

We know that there are 8 hours total, and since the ship traveled 200km, we set up a fraction, which is 8hr/200km. Since we want the average speed, we'll go by km/hr. To do this, we need to set the hrs to 1.

8/x = 1

x = 8

200/8 = 25

Your answer is 25km/hr

Answer:

remainder = 6

Step-by-step explanation:

Hope it helps.....

Answer:

Hey!! I found this online for you :)

Step-by-step explanation:

Saturn revolves or orbits around the Sun once every 29.4 Earth years, or once every 10,755.7 Earth days. Saturn travels at an average speed of 21,637 miles per hour or 34,821 kilometers per hour in its orbit around the Sun.

Hope this helps!

Have a nice day <3

Answer:

B. 36π in²

Step-by-step explanation:

Given:

Volume = 54π in³

height (h) = 6 in.

Required:

Curved surface area of the can (area for the label needed to wrap around the can without overlapping)

Solution:

First, we need to find the radius (r) of the can.

Volume = πr²h

Plug in the given values and solve for r

54π = π*r²*6

54π = 6π*r²

54π/6π = r²

9 = r²

r = √9

r = 3 in

✔️Find the curved surface area:

Curved surface area = 2πrh

r = 3 in

h = 6 in

Plug in the values

C.S.A = 2*π*3*6

C.S.A = 36π in²

Answer:

Is there supposed to be a picture???

Step-by-step explanation:

Step-by-step explanation:

use pythagoras theorem

a squared +b squared =c squared

4.12 squared +8 squared =x squared

16.9744+64=x squared

take the square root of 80.9744

x=9

Answer:

The answer is 11.8

Step-by-step explanation:

The value of x and y is 12.2 and 11.8 respectively.

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

According to the given question.

We have a right angled triangle.

In which one angle is 44 degrees and hypotenuse is 17 units.

Here,

With respect to angle 44 degrees the adjacent side is x and the opposite side is y.

Therefore,

Sine of 44 degrees is given by

[tex]sin44^{o} = \frac{opposite\ side }{Hypotenuse}[/tex]

[tex]\implies sin44^{o} = \frac{y }{17}[/tex]

[tex]\implies 0.6946 = \frac{y}{17}[/tex]

[tex]\implies 0.6946 \times 17 = y[/tex]

[tex]\implies y = 11.80[/tex]

[tex]\implies y = 11.8[/tex]

And, tangent of 44 degrees is give by

[tex]tan 44^{o} = \frac{opposite \ side }{adjacent \ side }[/tex]

[tex]\implies tan44^{o} = \frac{y}{x}[/tex]

[tex]\implies tan44^{o} = \frac{11.8}{x}[/tex]

[tex]\implies 0.9657 = \frac{11.8}{x}[/tex]

[tex]\implies x = \frac{11.8}{0.9657}[/tex]

[tex]\implies x = 12.22[/tex]

[tex]\implies x = 12.2[/tex]

Therefore, the value of x and y is 12.2 and 11.8 respectively.

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Answer:

y = 1x + 6

Step-by-step explanation:

y = mx + b is the formula we need to use. b is the y intercept which is clearly 6 on the graph. Then we need to use rise over run to find our m. We can see for every x value that increases by 1, y also increases at 1. This means our x is 1.

Answer:

(0,6) ,(4,10)

y=(10-6)/×=(4-0)

4/4= 1

Answer:

A

Step-by-step explanation:

The point Y is the center of the circle

the correct answer for point y is c

Answer:

A. 3x3x3x3 = 81 because you multiply 3 by itself 4 times

Answer:

it is 3×3×3×3=81 because it is said that

3 squared is 3×3 so I did the same tthing. hope it helps you good evening.

Answer:

Step-by-step explanation:

Answer:

18 because of its addition

Step-by-step explanation:

πr²=3+2+7+2+2+2

=5+9+4

=18

Answer:

The 2 rays the form ACB ARE AC and CB

Answer:

The colume of Ruslan's figure is 60 cubic centimeters.

Step-by-step explanation:

To find the volume of something, you have to multiply the length by the width, and then multiply that to the height. So you would multiply 5 and 3 to get 15, and then you would multiply 15 and 4 to which then you would get your answer of 60 cubic centimeters.

Answer:

60cm³ is your answer

Step-by-step explanation:

volume of cuboid =l×b×h=5×3×4=60cm³

Answer:79.5

Step-by-step explanation:32.8+8.75=41.55 41.55-3.6=37.95 37.95+41.55+32.8=79.5

111.94 kg is the total mass of the three boys.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. An equation with two ratios set equal to one another is called a percentage.

given, James has a mass of 32.8 kg. Ricardo's mass is 8 3/4 kg more than James's. Winthrop's mass is 3.6 kg less than Ricardo's.

Since Mass of James = 32.8 kg

thus Mass of Ricardo = [tex]8\frac{3}{4}[/tex] + 32.8 = 41.55kg

And Mass of Winthrop = 41.55 - 3.6 = 37.59kg

Sum of mass of all three boys  = 32.8 + 41.55+ 37.59

Sum of the mass of all three boys = 111.94 kg

Therefore, the Total mass of the three boys is 111.94 kg.

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Answer:

5(z-2)

Step-by-step explanation:

The question is incomplete. The complete question is :

The fuel efficiency for a new helicopter engine is given by the continuous function r(c) where r is measured in gallons per mile and c is measured in miles. What are the units of [tex]$\int_0^7 r(c) \ dc$[/tex]   ?

Solution :

The given continuous function is :

r(c), here c is measured in miles and the unit of r is measured in gallons per mile.

So the unit of  [tex]$\int_0^7 r(c) \ dc$[/tex] is given by :

= gallons per mile x mile

= gallons

So, the final unit is gallons.

Answer:

30 units²

Step-by-step explanation:

a=1/2 ×length × width

a=1/2 × 12 ×5

a=6×5

a=30units squared

It should be G, or the bottom left answer! I'm not sure about it but anyway I hope this helps!

Answer:option 2

Step-by-step explanation:

Answer:

1 bagel $3.5

1muffin $1.25

1ticket$9

1snack$2

Step-by-step explanation:

miffin(y)

bagel(x)

x+3y=7.25

x+2y=6

since x is similar in both equations you cancel it out

subtract this

3y=7.25

2y=6

question 8:ticket(x)

snack(y)

2x+3y=24×3

3x+4y=35×2

×3 and ×2 so we can eliminate the x

6x+9y=72

6x+8y=70

eliminate x

y=2

so snack is $2

2x+(3×2)=24

24-6=18

18÷2x=9

so a ticket is $9

Answer:

The length of the legs of the triangle is 8 units.

Step-by-step explanation:

45-45-90 triangle

A 45-45-90 triangle is a special case of a right triangle in which both legs l have the same value and the hypothenuse is h. By the Pythagorean Theorem:

[tex]2l^2 = h^2[/tex]

Hypothenuse of 8 V2

This means that [tex]h = 8\sqrt{2}[/tex]

So

[tex]2l^2 = h^2[/tex]

[tex]2l^2 = (8\sqrt{2})^2[/tex]

[tex]2l^2 = 64*2[/tex]

[tex]l^2 = 64[/tex]

[tex]l = \sqrt{64}[/tex]

[tex]l = 8[/tex]

The length of the legs of the triangle is 8 units.