Sam thinks of a 4 digit number. The digit in the one’s place is 3 less than the digit in the ten’s place and digit in thousand’s place is 5 less than the digit in hundred’s place. The value of the hundred’s place is 800. The digit in ten’s place is the greatest even number. What is the number Sam is thinking of?

Answer:

annualy=$3689.62

semiannually=$3695.27

monthly=$3700.06

weekly=$3700.81

daily=$3701.00

Continuously=$3701.03

Step-by-step explanation:

Given:

P=3000

r=3%

t=7 years

Formula used:

Where,

A represents Accumulated amount

P represents (or) invested amount

r represents interest rate

t represents time in years

n represents accumulated or compounded number of times per year

Solution:

(i)annually

n=1 time per year

[tex]A=3000[1+\frac{0.03}{1} ]^1^(^7^)\\ =3000(1.03)^7\\ =3689.621596\\[/tex]

On approximating the values,

A=$3689.62

(ii)semiannually

n=2 times per year

[tex]A=3000[1+\frac{0.03}{2}^{2(4)} ]\\ =3000[1+0.815]^14\\ =3695.267192[/tex]

On approximating the values,

A=$3695.27

(iii)monthly

n=12 times per year

[tex]A=3000[1+\frac{0.03}{12}^{12(7)} \\ =3000[1+0.0025]^84\\ =3700.0644[/tex]

On approximating,

A=$3700.06

(iv) weekly

n=52 times per year

[tex]A=3000[1+\frac{0.03}{52}]^3^6 \\ =3000(1.23360336)\\ =3700.81003[/tex]

On approximating,

A=$3700.81

(v) daily

n=365 time per year

[tex]A=3000[1+\frac{0.03}{365}]^{365(7)} \\ =3000[1.000082192]^{2555}\\ =3701.002234[/tex]

On approximating the values,

A=$3701.00

(vi) Continuously

[tex]A=Pe^r^t\\ =3000e^{\frac{0.03}{1}(7) }\\ =3000e^{0.21} \\ =3000(1.23367806)\\ =3701.03418\\[/tex]

On approximating the value,

A=$3701.03

Answer:

The 14-ounce bottle is the better deal

Step-by-step explanation:

I know this beause inorder to figure out which one is better you have to make them the same price and then see which bottle has more ounces. So I made each price 1$ so there is 1.58-ounces per dollar in the 5-ounce bottle and 1.17 -ounces per dollar in the 14-ounce bottle.

Answer: x>1

Step-by-step explanation:

To solve for x, we want to isolate x.

3x+7>10       [subtract both sides by 7]

3x>3             [divide both sides by 3]

x>1

Therefore, we know that x>1.

Answer:

Step-by-step explanation:

3x + 7 > 10

3x > 10 - 7

3x > 3

x > 1

x ∈ ( 1, ∞ )

Answer:

P(X < 3) = 0.14254

Step-by-step explanation:

We have only the mean, which means that the Poisson distribution is used to solve this question.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour.

This means that [tex]\mu = 4.8[/tex]

What is the probability P(X < 3)?

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-4.8}*4.8^{0}}{(0)!} = 0.00823[/tex]

[tex]P(X = 1) = \frac{e^{-4.8}*4.8^{1}}{(1)!} = 0.03950[/tex]

[tex]P(X = 2) = \frac{e^{-4.8}*4.8^{2}}{(2)!} = 0.09481[/tex]

So

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00823 + 0.03950 + 0.09481 = 0.14254[/tex]

P(X < 3) = 0.14254

Answer:

10

Step-by-step explanation:

the sum of 8,5,15,12,10 is 50 and there are 5 numbers so 50 divided by 5 is 10 and it's mean is also 10

hope this helps !

Answer:

Yes

Step-by-step explanation:

Yesterday would be Thursday and the day after next would be Sunday

Answer:

[tex]3.5[/tex]

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, [tex]c^2=a^2+b^2-ab\cos \gamma[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are the three sides of the triangle and [tex]\gamma[/tex] is the angle opposite to [tex]c[/tex].

Let [tex]c[/tex] be the side opposite to the 20 degree angle.

Assign variables:

Substituting these variables, we get:

[tex]c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}[/tex]

Therefore, the shortest side of this triangle is 3.5.

Answer:

the probability that we hit the bullseye at least 100 times is 0.0113

Step-by-step explanation:

Given the data in the question;

Binomial distribution

We find the probability of hitting the dart on the disk

⇒ Area of small disk / Area of bigger disk

⇒ πR₁² / πR₂²

given that; disk-shaped board of radius R² = 5, disk-shaped bullseye with radius R₁ = 1

so we substitute

⇒ π(1)² / π(5)² = π/π25 = 1/25 = 0.04

Since we have to hit the disk 2000 times, we represent the number of times the smaller disk ( BULLSEYE ) will be hit by X.

so

X ~ Bin( 2000, 0.04 )

n = 2000

p = 0.04

np = 2000 × 0.04 = 80

Using central limit theorem;

X ~ N( np, np( 1 - p ) )

we substitute

X ~ N( 80, 80( 1 - 0.04 ) )

X ~ N( 80, 80( 0.96 ) )

X ~ N( 80, 76.8 )

So, the probability that we hit the bullseye at least 100 times, P( X ≥ 100 ) will be;

we covert to standard normal variable

⇒ P( X ≥  [tex]\frac{100-80}{\sqrt{76.8} }[/tex] )

⇒ P( X ≥ 2.28217 )

From standard normal distribution table

P( X ≥ 2.28217 ) = 0.0113

Therefore, the probability that we hit the bullseye at least 100 times is 0.0113

Answer:

8/81

Step-by-step explanation:

It's most efficient to simplify the quotient algebraically before inserting the values of the variables x and y.  

The given expression reduces to x³ / y^4.

Substituting 2 for x and 3 for y, we get:

 (2)³           8

--------- = ---------- (Agrees with first given possible answer)

 (3)^4         81

Answer:

C. 17 units

Step-by-step explanation:

Surface area of rectangular prism is given as:

A = 2lw + 2lh + 2wh

A = 930 square units

l = 12 units

h = 9 units

w = ? (We're to find the width)

Plug in the value into the formula

930 = 2*12*w + 2*12*9 + 2*w*9

930 = 24w + 216 + 18w

Add like terms

930 - 216 = 42w

714 = 42w

Divide both sides by 42

714/42 = 42w/42

17 = w

w = 17 units

Answer:

$40,000

Step-by-step explanation:

If 5 breads cost $100, then 1 bread will cost 100/5=20.

So if 1 bread cost $20, then 2000 breads will cost 2000*20=$40,000.

Answer:

$40000

Step-by-step explanation:

5 breads=$100

1 bread=$100/5=$20

2000 breads= $20 x 2000 = $40000

Answer:

56.5 degrees

Step-by-step explanation:

Because complementary angles are when their sum is 90, you get the equation:

P + Q = 90

Since Q is 33.5,

P + 33.5 = 90

Subtracting 33.5 from both sides,

P = 56.5

Answer: hello your question is poorly written below is the complete question

Find the angle between and if ⋅=3√2‖‖⋅‖‖.

(Use symbolic notation and fractions where needed. Give your answer in terms of . )

answer :

∅ = π / 6

Step-by-step explanation:

V .W = [tex]\frac{\sqrt{3} }{2} || V ||. ||W||[/tex]

Hence

∅ = cos^-1 ( [tex]\frac{\frac{\sqrt{3} }{2} || V ||. ||W||}{||V||.||W||}[/tex]

∅ = cos^-1 ( [tex]\frac{\sqrt{3} }{2}[/tex] )

∴ ∅ = π / 6

Answer:

A. TRUE

Step-by-step explanation:

To determine if two triangles are congruent, we need to establish the facts that the three angles and three side lengths of one is congruent to corresponding angles and side lengths of the other triangle.

The diagram given only tells us the angle measure of the two triangles which are congruent to each other. The side length wasn't given. Therefore, the triangles may not be congruent.

Answer:

6%

Step-by-step explanation:

Answer:

you need to divide 120 by 5

Step-by-step explanation:

the percentage is 16.6 and it goes on that is for 1 year

9514 1404 393

Answer:

  D: [0, 24]

  R: [0, 72]

Step-by-step explanation:

The function only makes sense for non-negative values of time or water volume. The intercepts of the function are ...

  y-intercept: 72

  x-intercept: 72/3 = 24

so the reasonable domain is 0 ≤ s ≤ 24,

and the corresponding range is 0 ≤ O(x) ≤ 72.

Answer:

yes

Step-by-step explanation:

but I can't see them here

a) B

b) D

Hope this helps you

Answer:

0 is the answer assuming the whole thing is a fraction where the numerator is f(a+h)-f(a) and the denominator is h.

Step-by-step explanation:

If the expression for f is really a constant, then the difference quotient will lead to an answer of 0.

If the extra for f is linear (including constant expressions), the difference quotient will be the slope of the expression.

However, let's go about it long way for fun.

If f(x)=5, then f(a)=5.

If f(x)=5, then f(a+h)=5.

If f(a)=5 and f(a+h)=5, then f(a+h)-f(a)=0.

If f(a+h)-f(a)=0, then [f(a+h)-f(a)]/h=0/h=0.

Answer:

35 miles

Step-by-step explanation:

1/5 = 7

so each part is 7, which means that 5 parts would be 7*5.

7*5 = 35

cross check:

35/5 = 7

hope this helps :)

9514 1404 393

Answer:

  a-b

Step-by-step explanation:

Add the two equations together:

  (ax +by) +(bx +ay) = (a² -b²) +(0)

  x(a +b) +y(a +b) = (a +b)(a -b)

  x + y = a - b . . . . . divide by (a+b), assuming a+b ≠ 0

9514 1404 393

Answer:

  graph Y

Step-by-step explanation:

The inverse function can be found by solving ...

  x = f(y)

  x = -3y +3

  x -3 = -3y . . . . . subtract 3; next, divide by -3

  y = -1/3x +1 . . . . . matches graph Y

_____

Additional comment

Writing the original equation in standard form can help you see its intercepts.

  3x +y = 3

  3x = 3   ⇒   x = 1 . . . . x-intercept (at y=0)

  y = 3   . . . . y-intercept (at x=0)

The inverse function has the x- and y-intercepts swapped, so you're looking for a line through (0, 1) and (3, 0). The lower left graph (Y) is that graph.

Answer:

hello dude

x - 9 = - 12

x = 9 -12

x = -3

HAVE A NİCE NİGHT

Step-by-step explanation:

Greetings from Turkey

We have to,

find the required value of x.

Let's start,

→ x - 9 = -12

→ x = -12 + 9

→ x = -3

Thus, -3 is the value of x.

[tex] cos(A) = \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc} [/tex]

The cos A will be b/c

Cosine function in a triangle is the ratio of the adjacent side to that of the hypotenuse

The steps are as follow:

AB = c

BC = a

AC = b

Cos A = Adjacent side to A / Hypoteneous

Cos A = AC / AB

Cos A = b / c

Therefore the value of Cos A in given figure will be b / c

Learn more about Cosine function here:

https://brainly.com/question/8120556

#SPJ2

-1 is less than 0, so you use the first equation:

3(-1) +2 = -3+2 = -1

f(-1) = -1

For 0 use the 2nd equation:

3(0) + 4 = 0+4 = 4

f(0) = 4

For 2 use the 2nd equation:

3(2) + 4 = 6+4 = 10

f(2) = 10

Answer:its blurry

Step-by-step explanation:

cant see it

Answer:

x = 34.6

Step-by-step explanation:

[tex]x\:=\:\frac{\left(20\cdot \:sin\left(60\right)\right)}{sin\left(30\right)}[/tex]

Answer:

x- cost of mango, y- cost of pear, 4x+4y=24 and 2x+3y=16

Step-by-step explanation:

For this, you first must assign variables. In this case, let's say x is the cost of a mango and y is the cost of a pear.

Therefore the total cost for the first part can be given by 4x+4y=24.(or 4 × the cost of a mango + 4 × the cost of a pear = $24).

Following this method, the second equation can be given by 2x+3y=16.

** building upon this knowledge (extension)**

To solve simultaneous equations, we need like terms. To make like terms, we can multiply the entire second equation by 2. This gives 2 equations of 4x+4y=24 and 4x+6y=32.

We solve this by subtracting one equation from another, giving (4x-4x)+(6y-4y)=(32-24), or 2y=8.

We can divide by 2 to get y=4, meaning a pear costs $4.

By substituting y with 4, we can work out x. 4x+4×4=24, also known as 4x+16=24.

We can subtract 16 to get 4x=8, and divide by 4, giving x=2, or a mango costs $2.

**This content involves writing simultaneous equations, which you may wish to revise. I'm always happy to help!

Answer:

x = 2

Step-by-step explanation:

4x-3 + 3 =  5 + 3

4x = 8

4x ÷ 4 = 8 ÷ 4

x = 2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

"When solving 4x-3=5 the property used in the first step is the addition property of equality."

[tex]\boxed{x = 2}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'....}}\\\\4x-3=5\\----------\\\text{\textbf{Addition Property of Equality:} Add three on both sides.}}\\\\\rightarrow 4x - 3 = 5 \\\rightarrow 4x -3 + 3 = 5 + 3\\\\\rightarrow \boxed{4x = 8}\\\\\text{\textbf{Division Property of Equality:} Divide both sides by 4.}}\\\\\rightarrow {4x=8}\\\rightarrow \frac{4x=8}{4}\\\\\rightarrow \boxed{x = 2}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Step-by-step explanation:

the item angle on the left line is also 130 degrees, as these 2 equally long lines create a triangle with 2 equal sides.

the two internal angles are the complement from 130 to 180 degrees, as every straight line stands for 180 degrees.

so, 180-130 = 50 degrees.

=> both internal angles are 50 degrees.

that makes the angle at the bottom tip of the triangle the complement of both 50 degree angle to 180, because the sum of all angles in a triangle is always 180 degrees.

so, 180 - 50 - 50 = 80 degrees.

and the outside angles of that triangle tip angle are each half of the complement of these 80 degrees to 180 (resistive to the bottom horizontal line).

180 - 80 = 100

100/2 = 50

so, both outside bottom angles are again 50 degrees.