$100 is borrowed at 9% interest per year. How much is owed after one year if interest is compounded :
a. annually?
b. monthly?
c. continuously?

Answer:

The price of a burger is $4 and that of cone is $1.

Step-by-step explanation:

Let the cost of burger is x and that of cone is y.

ATQ,

3x+5y = 17 ....(1)

And

6x + 9y = 33 ...(2)

Multiply equation (1) by 2.

6x + 10 y = 34 ...(3)

Subtract equation (2) from (3)

6x + 10 y-(6x + 9y) = 34 - 33

6x + 10 y-6x- 9y = 1

y = 1

Put the value of y in equation (1)

3x+5 = 17

3x = 12

x = 4

So, the price of a burger is $4 and that of the cone is $1.

Answer:

B

Step-by-step explanation:

Answer:

A-1/P=n

Step-by-step explanation:

step 1. look at the parentheses and use inverse operations on both sides

A=P(1+n)

-1       -1

step 2. divide both sides by P

A-1=P(n)

/P    /P

n= A-1/P

The value of n on solving the equation A = P (1 + n) is A / P - 1.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

A = P (1 + n),

Here we can solve the parentheses by using the distributive property as shown below,

A = P × 1 + P × n

A = P + nP

Transform as shown below,

nP = A - P

n = (A - P) / P

n = A / P - 1

Thus, the value of n is A / P - 1.

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Answer:

uhhh 21

Step-by-step explanation:

19

Answer:

148 i thk i did 16x-12

Step-by-step explanation:

Answer:

8075.

Step-by-step explanation:

Volume of the prism

= 12 1/2 * 8 1/2 * 9  1/2

= 25/2 * 17 / 2 * 19/2

= 8075/8 cm^3

The volume of the small cubes = (1/2)^3 = 1/8 cm^3

So the number required = 8075 / 8   /  1/8

= 8075*8 / 8

= 8075.

Answer: x =3; y = -2

[tex]\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.[/tex]

Step-by-step explanation:

Answer:

x = 3, y = -2.

Step-by-step explanation:

5x + 6y = 3

2x - 3y = 12           Multiply this by 2:

4x - 6y = 24           Now add this to the first equation:

9x = 27

x = 3.

Substitute x = 3 in the second equation:

2(3) - 3y = 12

-3y = 12 - 6 = 6

y = 6 / -3

y = -2.

Answer:

[tex]Probability = 0.0470[/tex]

Step-by-step explanation:

This question has missing detail. (See attachment for the data)

Required

Determine the probability that a selected individual who has the disease test negative.

This type of probability is referred to as conditional probability.

First, we need to get the number of individuals who have the disease.

[tex]Disease =142 + 7[/tex]

[tex]Disease =149[/tex]

Next, we list out the number of individual who have the disease but is negative.

[tex]Negative = 7[/tex]

The probability is then calculated as:

[tex]Probability = \frac{Negative}{Disease}[/tex]

[tex]Probability = \frac{7}{149}[/tex]

[tex]Probability = 0.04697986577[/tex]

[tex]Probability = 0.0470[/tex] (approximated)

Answer:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Step-by-step explanation:

Transition because it mirrored but not exactly

Answer:

B

Step-by-step explanation:

Statistical inference is the process of making use of analytics to determine the characteristics of a population using its sample.

The two types of statistical inference are:

Answer:

[tex]\huge\boxed{\sf Reduces}[/tex]

Step-by-step explanation:

Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.

Thus the scale factor of 0.75 reduces the dilated image.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

-it reduces-

Step-by-step explanation:

good luck:)

Answer:

X=21

Step-by-step explanation:

3x+5+6x-14=180

9x-9=180

9x=180+9

9x=189

x=21

Answer:

Jordan, Its been 5 hours, whats the answer?

Step-by-step explanation:

There can be only 1 triangle formed by the given information.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

Given that, ABC can be formed if C=60∘, c=17√3 and a=34

Using the sine law for triangle,

A/sina = B/sinb = C/sinc

34/sina = 17√3/sin60°

⇒ sina = 90°

Since, The triangle ABC is a right triangle,

Hence, There can be only 1 triangle formed by the given information.

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Answer:

The probability of not picking a pink jelly bean: 11/15    

Step-by-step explanation:

As we know that the maximum value of the probability of an event would always be 1.

Given that the probability of picking a pink jelly bean out of a bag is 4/15.

Thus, the probability of not picking a pink jelly bean can be calculated by subtracting 4/15 from the maximum probability '1'.

i.e.

Probability of not picking a pink jelly bean = max probability - 4/15

                                                                       = 1 - 4/15

                                                                      = 11/15

Therefore, the probability of not picking a pink jelly bean: 11/15                                                                    

D. 7 miles

Step-by-step explanation:

26.5/4 =6.62

So the best estimate is 7 miles

Answer: x2−6x−119

Step-by-step explanation:

provided in the screenshot below

Answer:

[tex]y \geqslant 2[/tex]

Step-by-step explanation:

1. Add 14 to both sides.

[tex]14y \geqslant 28[/tex]

2. Divide both sides by 14.

[tex]y \geqslant 2[/tex]

Answer:

June 26th

Step-by-step explanation:

Answer:

MP=18

Perimeter of ∆LMP=42

Answer:

MP= 18

Perimeter is 42

Step-by-step explanation:

The midsegment is always half of the third side

LP=LO/2

LP=15

18+15+9=42

Answer:

2

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

its just 50 minus 18 and dont forget to borrow

Answer:

32mph

Step-by-step explanation:

So I think all you have to do is subtract 18 from 50 so 50 - 18 = 32mph

So in conclusion the giraffe can run 32mph if a lion is running at 50mph

Answer:

2.85 x 2 is equal to 5.7 so that should be the answer

Step-by-step explanation:

Did it on calculator sorry if wrong lol

Answer:

$5.70

Step-by-step explanation:

6 muffins is half a dozen, so double $2.85 and you get $5.70.

Answer:

8000

Step-by-step explanation:

10000 x 20% = 2000

10000-2000= 8000

Answer:

1 hour sorry if wrong

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

(6000-4000)/4000= 2000/4000

=2/4=1/2

(1/2)100=50

Answer:

25/82

Step-by-step explanation:

Answer:

liar

Step-by-step explanation: