If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?

Answer:

Step-by-Step explanation:

Given:

Volume of Rectangular Prism is 15,000cm³.

We know that,

★ Volume of Rectangular Prism = whl ★

Let "h" be the height.

➛ 25 × h × 20 = 15,000

➛ h × 20 × 25 = 15,000

➛ h × 500 = 15,000

➛ h = 15,000 ÷ 500

➛ h = 30

Thus, height of the box is 30 cm.

Answer: Each person gets £978

Step-by-step explanation: £6846 divided by 7 is £978

The first term is 3 and the common difference is negative 3. Then the sum of the first 20 terms will be negative 510.

A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.

The first term (a₁) = 3 and the common difference (d) = -3. Then the sum of the first 20 terms will be

Sₓ = (x/2) [2a₁ + (x - 1)d]

Then we have

S₂₀ = (20/2) [2 × 3 + (20 - 1)-3]

S₂₀ = 10 [6 + (19)(-3)]

S₂₀ = 10 [6 - 57]

S₂₀ = 10 [51]

S₂₀ = -510

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Answer:

12 students

Step-by-step explanation:

Because the total is 4 sticks, and each student needs 1/3 of a stick, we would have to see how many 1/3 sticks fit into 4 sticks. Because 3 of the 1/3 sticks fit into 1 stick, then 4 sticks would be 4*3=12 of the 1/3 sticks, which means 12 students can do it.

We could also just do: 4/(1/3)= 4*(3/1)=12

This is fractional division. The second value of the division process, we switch the numerator and denominator's, and the expression turns to a multiplication expression, where we can just multiply.

Answer:

If the number on the other side of the inequality sign is negative

Step-by-step explanation:

I just know okay

Answer:

D

Step-by-step explanation:

Exterior means outside which means it has to be one of the angles outside the triangle.

Options A, B, and C have angles inside the triangle.

Option D is the only angle outside the triangle

Answer:

y= -x-5

Step-by-step explanation:

m=1-(-5)/-4-2

m=-1

-1= -x

y=-x-5

Answer:

37.7 ft

Step-by-step explanation:

This is Pythagorean Theorem aka A^2+B^2=C^2

20^2+32^2=C^2

400+1024=C^2

1424=C^2 (now square root both sides)

37.7359…

Closest answer is 37.7 ft

Answer: [tex]37.7ft[/tex]

Step-by-step explanation:

[tex]a=32, b=20[/tex]

[tex]look[/tex] [tex]for~ the ~hypotenuse~ c[/tex]

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

[tex]\sqrt{32^2+20^2} =37.7ft[/tex]

Answer:

A≈113.1km²

Step-by-step explanation:

Answer:

slope= x2- x1/y2 -y1

= 5-(-3)/6-4

8/2= 4

Answer:

expected loss of 4/30 ≈ 0.13 dollars

Step-by-step explanation:

profit  = revenue - expenses

expected profit= expected revenue - expected expenses

how i solve this is by multiplying each revenue and expense by its probability and solving from there

revenue of gold = 5

revenue of silver = 2

revenue of black = 0

this exhausts all of our revenue options

total marbles = 2+8+20 = 30

# of gold marbles = 2

probability of gold = 2/30

# of silver marbles = 8

probability of silver = 8/30

# of black marbles = 20

probability of black = 20/30

expected revenue = sum of possible revenues multiplied by their probability

= 5 * 2/30 + 2 * 8/30 + 0 * 20/30 = 10/30 + 16/30 = 26/30

cost = 1 no matter what

expected profit = expected revenue - expected expenses

= 26/30 - 1

= -4/30

= an expected loss of 4/30

4/30 ≈ 0.13

Answer:

5 lbs cereal squares.

25 Ibs nuts.

Step-by-step explanation:

Let x be the weight of nuts in pounds and y be the weight of cereal squares in pounds.

Total weight of the party mix is 30 pounds.

[tex]x+y=30[/tex]              ..... (1)

It is given that,

Cost of nuts = $7 per pound

Cost of cereal = $4 per pound

The cost of mix = $6.50 per pound.

[tex]7x+4y=6.50*30[/tex]    

[tex]7x+4y=195[/tex]           ..... (2)

Substitute the value of x in equation (2) from equation (1).

[tex]7(30-y)+4y=195[/tex]

[tex]210-7y+4y=195[/tex]

[tex]-3y=195-210[/tex]

[tex]-3y=-15[/tex]

Divide both sides by -3.

[tex]y=5[/tex]

Substitute y=5 in equation (1).

[tex]x+5=30[/tex]

Subtract both sides by 5.

[tex]x=30-5[/tex]

[tex]x=25[/tex]

Therefore, he use 25 lbs of nuts and 5 lbs cereal squares for party mix.

Answer: 27

Step-by-step explanation:

By the same-side interior angles theorem, [tex]x+72+3x=180 \longrightarrow x=\boxed{27}[/tex]

Step-by-step explanation:

You can just divide 10 by 2/5 and you get 25 or try this

Set up proportions and cross multiply 2/5 / 1  =  10/x which you can read as : if 2/5 can be done in 1 hour then 10 tons can be done in x hours cross multiplying, you get 2x/5 = 10  and x = 25

[tex]1 \: 3 \: 3 \: 6 \: 6 \: 5 \: 4 \: 3 \: 1 \: 1 \: 2[/tex]

the mode and median of the given numbers set.

the most frequently occurred number.

[tex]mode = 1 \: and \: 3[/tex]

first arrange all the numbers in either decending or ascending order, then find the number in the middle.

[tex]1 \: 1 \: 1 \: 2 \: 3 \: 3 \: 3 \: 4 \: 5 \: 6 \: 6[/tex]

[tex]median = 3[/tex]

hence, the median of the following data set is 3 and the mode is 1 and 3

[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=14 \end{cases}\implies 14~~ = ~~ab^0\implies 14=a(1)\implies 14=a~\hfill \underline{y=14b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=3\\ y=4802 \end{cases}\implies 4802~~ = ~~14b^3\implies \cfrac{4802}{14}=b^3 \\\\\\ 343=b^3\implies \sqrt[3]{343}=b\implies 7=b~\hfill \underline{y=14(7)^x}[/tex]

Step-by-step explanation:

Explaination:  So first of all um what I am going to do is I need to find the area of this semicircle. So the area of the semicircle, I'm going to use pi times the radius squared and then divided by two. So I'm using the formula of the area of a circle and then I'm dividing it by two because it's half of a circle. And then I'm going to add that to the area of a triangle which is base times height divided by two. 

Hope it helps you

Answer:

100 points ??? I see 5 points :]

Answer:

234

Step-by-step explanation:

Answer:

23.80$

Step-by-step explanation:

[tex]\frac{20}{x} =\frac{100percent}{19percent}[/tex]

X = (20 × 19) ÷ 100

X =380 ÷ 100

X = 3.8$

20.00+ 3.8=

23.80

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{4\sqrt{2}}\\ a=\stackrel{adjacent}{s}\\ b=\stackrel{opposite}{s}\\ \end{cases}\implies (4\sqrt{2})^2~~ = ~~s^2~~ + ~~s^2 \\\\\\ 4^2\sqrt{2^2}~~ = ~~2s^2\implies 16(2)=2s^2\implies 32=2s^2\implies \cfrac{32}{2}=s^2 \\\\\\ 16=s^2\implies \sqrt{16}=s\implies \boxed{4=s}[/tex]

Answer:

1

Step-by-step explanation:

The 2 equations have different slopes, so they have 1 solution.

Answer:432 whats the other option 4300

Step-by-step explanation:

The volume of a standard NBA basketball is 7,329 cm³.

The volume of a sphere is given by the formula,

V = 4/3×π×r³

Given the diameter of the ball is 24.1 cm, therefore, the radius of the ball will be 12.05cm (half the diameter of the ball). Thus, the volume of the NBA basketball will be,

V = 4/3 × π × (12.05)³

V = 7,329.084 cm³ ≈ 7,329 cm³

Hence, the volume of a standard NBA basketball is 7,329 cm³.

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Answer:

2/3

Explanation:

total people: 4 + 2 = 6 people

carpenters: 4 carpenters

probability = 4/6 ≈ 2/3

Answer:

P (carpenter) = 2/3 or 0.67

Step-by-step explanation:

Probabilty of seeing a Carpenter first

⇒ P (carpenter) = 4/6

⇒ P (carpenter) = 2/3 = 0.67

Answer:

its C or 22.5

Step-by-step explanation:

Im doing the test right now

Answer:

22.5

Step-by-step explanation:

Answer:

aedi on

Step-by-step explanation:

II and III only

We split up the integration interval [1, 4] into 3 equally-spaced subintervals of length (4 - 1)/3 = 1 :

[1, 2], [2, 3], [3, 4]

The area over each subinterval [L, R] is either approximated by a trapezoid, whose area will be

1 • (f(L) + f(R))/2

or by a rectangle with height f((L + R)/2) and hence area

1 • f((L + R)/2)

For f(x) = x², the area under f(x) over [1, 4] is approximated by

• using trapezoids (T) :

[tex]\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}{2\times3} (1^2 + 2\times2^2 + 2\times3^2 + 4^2) = \frac{43}2 = \frac{86}4[/tex]

• using midpoints (M) :

[tex]\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}3 \left(\left(\frac32\right)^2 + \left(\frac52\right)^2 + \left(\frac72\right)^2\right) = \frac{83}4[/tex]

so T > M. (This eliminates "I only" and "all of the functions".)

For f(x) = √x, the area is approximated by

• T :

[tex]\displaystyle \int_1^4 \sqrt x \, dx \approx \frac{4-1}{2\times3} (\sqrt1 + 2\sqrt2 + 2\sqrt3 + \sqrt4) \approx 4.646[/tex]

• M :

[tex]\displaystyle \int_1^4 \sqrt x\, dx \approx \frac{4-1}3 \left(\sqrt{\frac32} + \sqrt{\frac52} + \sqrt{\frac72}\right) \approx 4.677[/tex]

so T < M. (This eliminates "none of the functions".)

If point B (3, -1) has been translated from A by the Vector (4, 3). Then the coordinates of A will be (12, -3)

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

Point B (3, -1) has been translated from A by the Vector (4, 3).

Then the coordinates of A will be

Point B (3, -1) x  (4, 3)

Point B (3 x 4, -1 x 3)

Point B (12, -3)

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