If you borrow $200 for 12 years at
an annual interest rate of 2%, how
much will you pay altogether

Answer:

Water Stats

The average family can waste 180 gallons per week, or 9,400 gallons of water annually, from household leaks. That's equivalent to the amount of water needed to wash more than 300 loads of laundry. Household leaks can waste approximately nearly 900 billion gallons of water annually nationwide.

Step-by-step explanation:

THATS FOR NUMBER 2

Answer:

19.3 Gallons

Step-by-step explanation:

83066/1000 to get back to liters

83.066 Liters/4.54=19.3 Gallons

Answer:

99.85%

Step-by-step explanation:

The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years.

Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living less than 16.1 years.

Solution:

The empirical rule states that for a normal distribution most of the data fall within three standard deviations (σ) of the mean (µ). That is  68% of the data falls within the first standard deviation (µ ± σ), 95% falls within the first two standard deviations (µ ± 2σ), and 99.7%  falls within the first three standard deviations (µ ± 3σ).

Therefore:

68% falls within (10.4 ± 1.9). 68% falls within 8.5 years to 12.3 years

95% falls within (10.4 ± 2*1.9). 95% falls within 6.6 years to 14.2 years

99.7% falls within (10.4 ± 3*1.9). 68% falls within 4.7 years to 16.1 years

Probability of a meerkat living less than 16.1 years = 100% - (100% - 99.7%)/2 = 100% - 0.15% = 99.85%

Answer:

13.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \csc(a) = \frac{1}{ \sin(a) } \\ \sin(a) = \frac{15}{25} \\ \\ \csc(a) = \frac{1}{ \frac{15}{25} } \\ \\ \csc(a) = \frac{25}{15} [/tex]

So no one of the above

Answer: The data set is missing therefore I will give you a more general answer

answer : The mean value will shift ( to the right ) by 20

Step-by-step explanation:

when a  number is added to each data value in a data set the mean value will shift ( to the right ) likewise the mode, and Median by the same amount that was added to the data set . but the range and IQR will remain unchanged

Answer:

The answer is C

Step-by-step explanation:

Answer: 9 km/hr

Step-by-step explanation:

270/30 or 270 ÷ 30

km/hr

Answer: 9

Step-by-step explanation:

Answer:

The answer is 9x-68 :)

Step-by-step explanation:

Answer:

7.5 feet

Step-by-step explanation:

Hope it helps(:

Answer:

c=81

Step-by-step explanation:

Take half of b: 18/2=9

Square the result: 9²=81

This is your value of c that will result in a perfect square trinomial, which is c=81. If you were to keep going, you would do the following:

x²+18x+81=25+81

x²+18x+81=106

(x+9)^2=106 <-- Final simplification

(x+9

Answer:

c=81

Step-by-step explanation:

pls give me banliest

Answer:

The time of fall is 9 seconds

Step-by-step explanation:

We are asked to find the time between when the penny was dropped and when it landed.

To do this, we have to start with what we are given and see how we can relate it to find what we are looking for.

From the problem, we are given the equation which represents the height which the penny travels as it falls. It is given by

[tex]h(t) = 16t^2 - 144.[/tex] ----------- equation 1

in addition to that, we are also given that h = 144ft at the end of the fall; that is, where t = t max, and h = hmax

Hence, it is safe to say that at the end of the fall, that the heigh is no more changing. This means that dh/dt = 0

We can now differentiate equation 1 above to get

h max  = 16t - 0 ------------- equation 2

recall that h max = 144

plugging the value of h max into equation 2, we have

144 = 16t

t = 9 seconds

Therefore the time of fall is 9 seconds

Answer:

t= 3 seconds

Step-by-step explanation:

I took the quiz and this is the answer

Answer:

66cm²

Step-by-step explanation:

The figure shown is actually a parallelogram

The area of a parallelogram can easily be calculated by multiplying the base length by the height

For this parallelogram the height given is 6 cm and the base length given is 11cm

so area = 6 * 11

6 * 11 = 66

hence the area of the parallelogram is 66cm²

A. square root property

[tex]3x^2-192=0\\x^2-66=0\\x^2=66\\x= -\sqrt{66} or \sqrt{66}[/tex]

it has one value with x which is x^2 and it cn be easily solved without having to factorise, quadratic formula cant be used as it need ax^2+bx+c=0 format

B. factorising

[tex]x^2-x-6=0\\x^2+2x-3x-6=0\\(x+2)(x-3)=0\\x+2=0 and x-3=0\\x= -2 \\x= 3[/tex]

i just felt like this was easier to factorise than the other 2 options left

C. Completing the square

[tex]x^2-6x-7=0\\(x-3)^2=0\\x= -1\\x= 7[/tex]

same reason personal preference

D- Quadratic

[tex]x^2-17x-7=0\\x=\frac{-(-17)+\sqrt{(-17)^2-4(1)(-7)} }{2(1)} \\x=\frac{-(-17)-\sqrt{(-17)^2-4(1)(-7)} }{2(1)}\\x=17.4\\x=-0.402[/tex]

the 17 kinda threw me off and i didnt wanna get on factorising or doing completing the square so quadratic formal

It looks like a "V" going straight up from 0, and hits both 4 and -4 y while going up perfectly

The graph opens upward, and it has a vertex of (0,0)

The vertex of an equation is the minimum or the maximum point on the graph of the equation

The equation of the graph is given as:

[tex]f(x) = 4|x|[/tex]

The above equation represents an absolute value function

An absolute value function is represented as:

[tex]f(x) = a|x -h| + k[/tex]

So, by comparison, we have:

[tex]a = 4[/tex]

[tex]h = 0[/tex]

[tex]k = 0[/tex]

This means that the graph opens upward, and it has a vertex of (0,0)

See attachment for the graph of [tex]f(x) = 4|x|[/tex]

Read more about absolute value functions at:

https://brainly.com/question/3381225

Answer:

1/3 :)

Step-by-step explanation:

Answer:

Mrs. Delgado purchased 6 notebooks and 2 packages of pens.

Step-by-step explanation:

Given that Mrs. Delgado purchased notebooks at 2 for $ 5 and pens at $ 2 per package, and she spent $ 19 for a total of 8 items, to determine how many notebooks and pens did she buy the following calculation must be performed:

5/2 = 2.5

8 x 2.5 + 0 x 2 = 20

6 x 2.5 + 2 x 2 = 19

Therefore, Mrs. Delgado purchased 6 notebooks and 2 packages of pens.

Answer:

[tex]z^{11}[/tex]

Step-by-step explanation:

add 5 and 6 because they have the same base z

she needs 10 feet because 6 2/3 yard converted into feet is 20 and 30-20=10

Answer:

Step-by-step explanation:

first, i'm pretty sure that there's only one box of chocolates as stated in the problem, but if there's more i'm sorry.

you can use this equation:

6.49x + 8.32=27.79

remember not to use dollar signs in the equation! only use dollar signs in your answer - so don't use dollar signs now, unless specified by your teacher or guider ;)

hope this helped!!!

Answer:

3) x=11

4) x=65 degrees

I can explain more if you need but since you need it quick basically theyre just the same as the other side since its a 90 degree angle and the line is going through the center

Answer: x is 11 and 65 like they said

Step-by-step explanation:

Answer:

You will have $17,336,862 by the end of the ten years

Step-by-step explanation:

The equation for compound interest is the amount(1+rate)^time

fill out the equation for 2,800,000(1.2)^10

2,800,000(6.19173642)

17336862

You will have $17,336,862 by the end of the ten years

Answer:

Step-by-step explanation:

S and T are supplementary angles

Answer:

t = 10

Step-by-step explanation:

(10+10)+10 = 10+20

30 = 30

t = 10

Answer:l 3t + 30

Step-by-step explanation: eliminate redundant parathrse

Answer:

94.5%

Step-by-step explanation

Answer:

\sqrt[9]{(78)} {}^{4}

9

(78)

4

Answer:

[tex]\frac{45}{c}[/tex]

Step-by-step explanation:

Playoff games played = 45

Number of days taken for the playoff games = c days

Number of playoff games played in one day = [tex]\frac{\text{Number of games played}}{\text{Total number of days}}[/tex]

= [tex]\frac{45}{c}[/tex]

Therefore, expression for the number of playoff games played in a day = [tex]\frac{45}{c}[/tex]

Answer:

d= 2√a/π

To calculate the diameter, rewrite the formula to isolate D

Because a negative diameter doesn’t make sense, eliminate the negative answer from the solution

Simplify further to get the solution

The formula to calculate the diameter of the circle is d = 2 √( A/π )

where d = diameter of the circle

A = area of the circle

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the radius of the circle be = r

So , the diameter of the circle = 2r

Now , the area of the circle = πr²

Substituting the value for r , we get

Area of the circle = ( 1/4 ) πd²

So , A = ( 1/4 ) πd²

Now , solving the equation for diameter of circle d , we get

Multiply by 4 on both sides of the equation , we get

πd² = 4A

Divide by π on both sides of the equation , we get

d² = 4A/π

Taking square roots on both sides of the equation , we get

d = 2 √A/π

Therefore , the value of d is 2 √A/π

Hence ,

The formula to calculate the diameter of the circle is d = 2 √( A/π )

where d = diameter of the circle

A = area of the circle

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ2

There are different combinations you can do.... for example

10 tables of 4 and 20 tables of 6

or

25 tables of 4 and 10 tables of 6

so Im not sure which :/ but the equation would be:

10x+20y=160

or

25x+10y=160

there are different combinations of the two so im  not sure T_T

Answer:

n=53

Step-by-step explanation:

(3n-4)2

distribute the 2

you get 6n-8

plug in 53 into n 5(53)-8 and then you times 6 and 53 and get 318 subtract 8 from that and you get 310

Answer:

8 units

Step-by-step explanation:

Step-by-step explanation:

[tex]C = ( - 6,5) \: and \:A = (3, - 1) \\ length \: AC = \sqrt{ {(x _{2} - x _{1}) }^{2} + {(y _{2} - y _{1})}^{2} } \\ AC = \sqrt{ {(3 - ( - 6))}^{2} + {( - 1 - 6)}^{2} } \\ AC = \sqrt{(81 + 49)} \\ AC = \sqrt{130} \\ AC = 11.4[/tex]