Carter invested $540 in an account paying an interest rate of 4. 875 % compounded monthly. Jack invested $540 in an account paying an interest rate of 5. 5% compounded continuously. To the nearest hundredth of a year, how much longer would it take for Carter's money to triple than for Jack's money to triple?

Answer:

36 in²

Step-by-step explanation:

Area of the figure

Answer:

The answer is 36 ft²

Step-by-step explanation:

Let us divide this whole figure into 2 rectangle, a big and a small.

Rectangle 1: (Small)

(Area 1) = l × b

A = 2 × 3 = 6 square ft

Rectangle 2: (Big)

(Area 2) = l × b

A = 6 × 5 = 30 square ft

Now,

Total Area of figure = Area of Rectangle 1 + Area of Rectangle 2.

Total Area = 6 + 30 = 36 square ft.

Thus, The area of the figure is 36 ft².

Answer: Price of 400 yd of fabric from Manufacturer A is = $7.50 X 400= $3,000. From given graph, we can observe that the charge for 800 yards of fabric is = $6,000

Answer:

slope = 3x

Step-by-step explanation:

Equation is y = 3x - 6
3x is slope

The expression for the total surface area of rectangle was used, with all values rightly plugged in, the total surface area is 306 in^2

Given Data

We know that the expression used in finding the surface area is given as

Surface area of rectangular prism =2(wl+hl+hw)

Substituting our given data into the formula we have

=2(6*4.5+12*4.5+12*6)

=2(27+54+72)

=2(153)

= 306 in^2

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Answer:

306

Step-by-step explanation:

I didn't know till I saw the other persons answer. Please give them branliest.

the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45

A circle is a 2-dimensional shape with no edges.

The standard equation of a circle with centre (a, b) and radius "r" is given as:

(x-a)^2 + (y-b)^2 = r^2

Given the diameter of circle with coordinate  (2,2) and (8,14), the diameter is expressed as:

D = √12² + 6²

D = √144+36
D = √180

For the radius

r = √180/2

r² = 180/4

r² = 45

Determine the centre (a, b)
(a, b) = (2+8/2 2+14/2)
(a, b) = (5, 8)

Substitute

(x-5)^2 + (y - 8)^2 = 45

Hence the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45

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Using it's concept, it is found that there is a 0.625 = 62.5% probability that an individual owns a stock.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of 200 graduates, 35 + 90 = 125 of them own stocks, hence:

p = 125/200 = 0.625.

There is a 0.625 = 62.5% probability that an individual owns a stock.

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Answer:

389

Step-by-step explanation:

20 - 11 = 9

29 - 20 = 9

This is a geometric sequence with a common difference of 9.

a_1 = 11

a_2 = 11 + 9

a_3 = 11 + 2 × 9

...

a_n = 11 + (n - 1) × 9

a_43 = 11 + (43 - 1) × 9

a_43 = 11 + 42 × 9

a_43 = 389

Hence, the [tex]43[/tex]rd term is [tex]389[/tex].

What is the sequence?

A  sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is [tex]11, 20, 29, ...[/tex]

Here,

[tex]a=11\\\\d=a_2-a_1\\d=20-11\\d=9[/tex]

The general formula is

[tex]a_n=a+(n-1)d[/tex]

where,

[tex]a_n[/tex] is the [tex]n[/tex]th term

[tex]a[/tex] is the first term

[tex]n[/tex] is the number of terms

[tex]d[/tex] is the common difference

Substituting the values in the general formula

[tex]a_n=a+(n-1)d\\\\a_{43}=11+(43-1)9\\\\a_{43}=11+(42)9\\\\a_{43}=11+378\\\\a_{43}=389[/tex]

Hence, the [tex]43[/tex]rd term is [tex]389[/tex].

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Answer:

It would be sold at 190$

Step-by-step explanation:

200x5/100 or 200 x 0.05

Answer:

1/2

Step-by-step explanation:

It appears to be 1/2 because the areas labeled "parrots" and "sparrows" takes up half of the pie chart. hope this helped!

Answer: the answer is 1 over 2 as a fraction

Step-by-step explanation:

Answer:

Socratic app

Step-by-step explanation:

it will help you

The possible number of cupcakes is less than or equal to 23

let

The inequality:

2k ≤ 46

divide both sides by 2

k ≤ 46 / 2

k ≤ 23

Therefore, the possible number of cupcakes is less than or equal to 23

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The force needed to keep the cart at rest is 149.022 pounds

Given Data

The force needed to keep the cart at rest is the vertical component of the resultant force, hence we have

Fy = Mg sin θ

Substituting our given data we have

Fy = 200 sin 40

Fy = 200 *0.74511

Fy = 149.022 pounds

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Answer:

128.558

Step-by-step explanation:

We can find the sum of the interior angles of a regular polygon using the formula : (n-2) x 180, where n is the number of sides.

We replaced in : (24-2) x 180 = 3960

So, all the interior angles in this polygon add up to 3960.
-> Each interior angle is equal to 3960 : 24 = 165.

Answer:

triangle D and F

Step-by-step explanation:

triangle D and F are the same as A, just angled differently.

God bless! hope i helped someone, somehow.

Answer:

D,F

Step-by-step explanation:

Using the formula for volume and surface area of solids, we have the following:

1. 180 in.³; 258 in.²; $12.9

2. 144 in.³; 184 in.²; $9.2

3. 75 in.³; 228 in.²; $11.4

Volume of a rectangular prism = l × w × h

Surface area of a rectangular prism = 2(wl+hl+hw)

Volume of a square pyramid = 1/3 × a² × h

Surface area of a square pyramid = a² + 2al

Volume of a cylinder = πr²h

Surface area of a cylinder = 2πr( h + r)

1. Volume of the rectangular prism cereal box = 7.5 × 2 × 12 = 180 in.³

Surface area of the rectangular prism cereal box = 2(wl+hl+hw) = 2(2 × 7.5 + 12 × 7.5 + 12 × 2) = 258 in.²

Cost of material for the the rectangular prism cereal box = 258 × 0.05 = $12.9.

2. Volume of the square pyramid cereal box = 1/3 × a² × h = 1/3 × 6² × 12 = 144 in.³

Surface area of the square pyramid cereal box = a² + 2al = 6² + 2(6)(12.3) ≈ 184 in.²

Cost of material for the the square pyramid cereal box = 184 × 0.05 = $9.2.

3. Volume of the cylinder cereal box = πr²h = π(2.5²)(12) = 75 in.³

Surface area of the cylinder cereal box = 2π(2.5)(12 + 2.5) ≈ 228 in.²

Cost of material for the the cylinder cereal box = 228 × 0.05 = $11.4.

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Answer:

14.49

Step-by-step explanation:

thats all folks i don't know why though

Answer:

24 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets solve!!

7^2 + b^2 = 25^2

49 + b^2 = 625

Now we subtract!!

625 - 49 = b^2

576 = b^2

Now we neeed to find the square root!!

[tex]\sqrt{576}[/tex] = 24

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

h = 2

Step-by-step explanation:

8+h / 10 = 1

Multiply both sides by 10 to remove the denominator

10 * (8 + h / 10) = 1 * 10

8 + h = 10

Subtract 8 from both sides

8 - 8 + h = 10 - 8

h = 2

Answer:

its logx=logy

Answer:

its logx=logy

Answer:

156,000

Step-by-step explanation:

291 divided by 97 is 3. 52,000 x 3 = 156,000.

Population will be 6 times of present population in 291 years.

The number of people in the city at a particular time is called population of the city.

Present population of the city = 52000

According to the problem, Population doubles in size in every 97 years.

After 97 years, the population = Double of present population

                                                  = 2 × 52000 = 104000

Population in 97 years = 104000

Population in 1 year = [tex]\frac{104000}{97}[/tex]

So, population in 291 years =  [tex]\frac{104000}{97}[/tex]× 291 = 104000×3 = 312000

Population in 291 years from now = [tex]\frac{312000}{52000}[/tex] = 6 times

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Answer:

Step-by-step explanation:

Find the width as below

Substitute the values and solve for w

Now find the volume

Answer:

width = 3ft

volume = 144 ft³

Step-by-step explanation:

Pythagoras Theorem

[tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

The diagonal of the base of the aquarium, its height, and the length from the top corner to the opposite bottom corner forms a right triangle.  As we know two of the lengths, we can use Pythagoras Theorem to calculate the unknown length (diagonal of base).

Given:

[tex]\implies \sf 12^2+b^2=13^2[/tex]

[tex]\implies \sf b=\sqrt{13^2-12^2}[/tex]

[tex]\implies \sf b=5[/tex]

Now we know the length of the diagonal of the base, we can again use Pythagoras Theorem to find the width of the aquarium.

Given:

[tex]\sf \implies 4^2+b^2=5^2[/tex]

[tex]\sf \implies b=\sqrt{5^2-4^2}[/tex]

[tex]\sf \implies b=3[/tex]

Therefore, the width of the aquarium is 3 ft.

As the aquarium is modeled as a rectangular prism:

[tex]\begin{aligned}\textsf{Volume of a rectangular prism} & = \sf width \times length \times height\\ \implies \textsf{Volume of aquarium} & = \sf 3\:ft \times 4\:ft \times 12\:ft\\& = \sf 144 \:\:ft^3\end{aligned}[/tex]

Answer:

There both quadrilaterals

Step-by-step explanation:

103-7 = 96 then 96/2 = 48 so we can say that Sydney is 48 and devaughn is 48+7 = 55 years old.

Therefore, Sydney is 48 years of age.

Answer:

I think the answer is 16 to maximize the score

Answer:

y = -4(x +2)² + 7

formula for parabola: y = a(x-h)² + k

Where (h, k) denotes the vertex

First find a:

Thus equation:

Answer:

y = -4x^2 - 16x - 9.

Step-by-step explanation:

The vertex form is:

y = a(x - b)^2 + c     where a is a constant,  and (b, c) is the vertex

So we have

y = a(x + 2)^2 + 7

When x = -1,  y = 3 so:

3 = a(-1 + 2)^2 + 7

3 = a + 7

a = -4.

So the equation is

y = -4(x + 2)^2 + 7

y = -4x^2 - 16x -16 + 7

y = -4x^2 - 16x - 9.

Answer:

a is the answer

Step-by-step explanation:

Answer:

$12.80

Step-by-step explanation:

The cost to get 8 bottles of juice and 4 bags of chips will be:

= 8($.105) + 4($1.10)

= $8.40 + $4.40

= $12.80

The cost for x bottles of juice and y bags of chips will be:

= (1.05 × x) + (1.10 × y)

= 1.05x + 1.10y