How much simple interest is due on a loan of $120
for two years if the annual rate of interest is 5.5%
?*

Answer:

6 feet

Step-by-step explanation:

Answer:

72in is 6 feet

Step-by-step explanation:

Answer:

[tex]{ \tt{yes \: it \: describes \: a \: functional \: equation \: of \: a \: line}}[/tex]

9514 1404 393

Answer:

  45. (8√2)∠π/4

  46. (7√2)∠3π/4

Step-by-step explanation:

The polar form of a+bi is ...

  a +bi ⇔ (√(a²+b²))∠arctan(b/a)

__

45. 8 +8i = (√(8² +8²))∠arctan(8/8) = (8√2)∠π/4

__

46. -7 +7i = (√((-7)² +7²))∠arctan(7/-7) = (7√2)∠3π/4

_____

Additional comment

The arctan function usually returns a value in the range -π/2 to π/2. The quadrant of the desired result can be determined by the signs of the components of the vector. For negative real parts, π needs to be added to the value that is usually returned by the arctan function.

Answer: I think the answer is 120

Step-by-step explanation:

I'm not sure tho

Answer:

This probability that the sample proportion is between 0.35 and 0.45 is the p-value of [tex]Z = \frac{0.45 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex] subtracted by the p-value of [tex]Z = \frac{0.35 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex]. These p-values are found looking at the z-table.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Estimate of the proportion:

This is p, and thus, we use [tex]\mu = p[/tex].

Sample of 160

This means that:

[tex]n = 160, s = \sqrt{\frac{p(1-p)}{160}}[/tex]

What is the probability that the sample proportion is between 0.35 and 0.45?

This probability that the sample proportion is between 0.35 and 0.45 is the p-value of [tex]Z = \frac{0.45 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex] subtracted by the p-value of [tex]Z = \frac{0.35 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex]. These p-values are found looking at the z-table.

Answer:

-240

Step-by-step explanation:

n = 5

a₅ = 30* (-2)(5 - 1)

   = 30 * (-2)*4

  = 30 * (-8)

  = - 240

Answer:

MULTIPLICATIVE INVERSE OF X WILL BE 1/X

Step-by-step explanation:

Answer:

angles:r=m

s=m

t=p

sides:rs=mn

rt=mp

st=pn

Answer:

ans : it is order wise

a) 6/125 cm³

b) 8/125 cm³

c) 1/125 cm³

d) 36/125 cm³

Step-by-step explanation:

a)

for rectangular prism = length × width × height

= (1/5) × (2/5) × (3/5)

= 6/125 cm³

b)

for cube = length³

= (2/5)³

= 8/125 cm³

c)

for cube = (1/5)³

= 1/125 cm³

d)

for rectangular prism = (3/5) × (4/5) × (3/5)

= 36/125 cm³

"The box plot tells us about the lower limit, first quartile, median, third quartile, and upper limit.

Step-by-step explanation:

Box plot:

It displays the five-number summary of a set of data. The five-number summary is the lower limit, first quartile, median, third quartile, and upper limit. We draw a box in a box plot from the first quartile to the third quartile. A vertical line goes through the box which represents the median. Anything that lies beyond the upper limit or the lower limit is know as an outlier.

From the information given, we can say that:

The left-most point on the plot is 20 and the right-most point is 95 which means 20 and 95 are the lower and upper limit respectively. The box is labeled 35 on the left edge and 60 on the right edge which means 35 is the first quartile and 60 is the the third quartile. A vertical line is drawn inside the rectangle at the point 55 which means 55 is the median of given data. We cannot know about the mean of data with the given information."

(this is kind of an answer, I hope it's helpful)

The other prson is right, give them brainliest!

Answer:

????????????????????

Answer:

Javon spent $18 and Laila bought $36

Step-by-step explanation:

Ahm. I don't really know what $y is so i guess it's $6 so

6 x 3

= $18

Laila

6 x 4

= 24 + 3 + 3 + 3 + 3

= 36

$36

THank you ^^

Answer:

x=-5

Step-by-step explanation:

A vertical line is a line that goes up and down.  It has a constant x value

Since the x value is -5

x=-5

Answer:

a. angle 4 is congruent to angles 1, 2, 3, 5

b angle 5 is congruent to angles 1, 2, 3, 4

c. the sum of angles 1, 4, and 5 is 180°

d. The sum of angles 1, 2, and 3 is 180 °

Step-by-step explanation:

a. all angles are the same measurement

b. all angles are the same measurement, you know this by measuring

c. they are on a striaght 180 degree line

d. the sum of a triangles angles are always 180 degrees

Answer:

The surface area of the balloon is [tex]S(t) = \frac{100}{49} \pi t^8[/tex]

Step-by-step explanation:

Given;

S(r) = 4πr²

where;

S is the surface area of the balloon

r is the radius of the surface

The radius of the balloon at time "t" is given as;

[tex]r(t)= \frac{5}{7} t^4 \ \ \ t\geq 0[/tex]

The surface area of the balloon as a function of time "t" is calculated as;

[tex]S(t) = 4\pi (\frac{5}{7} t^4)^2\\\\S(t) = 4\pi (\frac{25}{49} t^8)\\\\S(t) = \frac{100}{49} \pi t^8[/tex]

Answer:

15a + b = b + 15a

lol is this right?

Step-by-step explanation:

but am not pretty sure

the volume of cone is =1/3 pie r² h

I think this is the formula to calculate it

For initial 100 milligrams of a radioactive substance was if decreased by 2% in 8 hours, then half-life of the radioactive substance is 108.3 hours.

Rate of change is the change in one variable due to change in other.

Given the following:

Amount of a radioactive substance initially present=100mg

After 8 hours, mass decreased by 2%

Mass after 8 hours= 100-(2% of 100)

=100-(2*100/100)

=100-2

=98

The rate of decay is proportional to the amount of the substance present at time t.

Mathematically,

Let the amount of radioactive substance is A and at time t,

[tex]\dfrac d{dt}A\ \alpha\ A\\\\[/tex]

[tex]\dfrac d{dt}A= kA\\\\\\dA=kAdt[/tex]

On integrating both sides,

[tex]\int \frac {1}{kA}dA=\int dt\\\\[/tex]

[tex]\dfrac {ln A}{k}=t +ln \ c_1\\ln A =kt+k\ ln \ c_1\\[/tex]

On taking antilogarithm both sides,

[tex]e^{ln A} =e^{kt+k\ ln \ c_1\\A=e^{kt}e^{k\ ln \ c_1}\\A=e^{kt}e^{\ ln \ c_1^k}\\A=e^{kt}c_1^k \\[/tex]

Let, [tex]c_1^k=c[/tex]

[tex]A =e^{kt}c[/tex].................................1

At t=0, A=100

Substituting values in 1

[tex]100= e^0c\\c=100[/tex]

At t= 8, A=98

[tex]98=e^{k8}100\\0.98=e^{8k}\\8k=ln0.98[/tex]

k=-0.0064.

To determine the half time of the decay.

At half time A became A/2=50 mg

Substituting in 1.

[tex]50=e^{-0.0064t}100\\ln 0.5=-0.0064t\\t=\frac{ln 0.5}{-0.0064}\\t=108.3042\\t=108.3[/tex]....................................rounded to one decimal place.

Thus, The half-life of the radioactive substance is 108.3 hr.

Learn more about rate of change, here:

https://brainly.com/question/29044610

#SPJ12

Answer:

Center = (-3,  7)

radius = 5

Step-by-step explanation:

x² + y² + 6x – 14y + 33 = 0

Put the equation in standard form:

(x - h)² + (y - k)² = r²

(h, k) is the center

r is the radius

---------------------------

Regroup

x² + 6x + y² - 14y = -33

Complete the square for x

(x + 3)² + (y - 7)² = -33 + 3² + (-7)²

(x + 3)² + (y - 7)² = 25

Center = (h, k) = (-3,  7)

radius = √25 = 5

Answer:

480 times

Step-by-step explanation:

Given

[tex]n = 50[/tex] ---- total number of rolls

See attachment for complete question

Required

Times OO will appear in a roll of 2000 times

From the attached bar graph,

[tex]n(OO) = 12[/tex]

So, the occurrence of OO in 2000 rolls is:

[tex]OO = \frac{n(OO)}{n} * 2000[/tex]

[tex]OO = \frac{12}{50} * 2000[/tex]

[tex]OO = 0.24 * 2000[/tex]

[tex]OO = 480[/tex]

Step-by-step explanation:

get a coin and toss it 40 times.....then input your answers....

dont forget to make a prediction about the outcome first

Answer:

41, 34, 105

Step-by-step explanation:

Given that :

Measure of angles :

6x -7; 3x +10; and 10x +25

Recall; sum of angles in a triangle is 180

(6x - 7) + (3x + 10) + (10x + 25) = 180

6x - 7 + 3x + 10 + 10x + 25 = 180

6x + 3x + 10x - 7 + 10 + 25 = 180

19x + 28 = 180

19x = 180 - 28

19x = 152

x = 8

Hence,

6x - 7 = 6(8) - 7 = 41

3x + 10 = 3(8) + 10 = 34

10x + 25 = 10(8) + 25 = 105

Answer:

The chance that both are statistics books is [tex]\frac{1}{21}[/tex]

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

[tex]P(A)=\frac{number of favorable cases}{total number of possible cases}[/tex]

Combination of n elements taken from k to k is called each of the ways of choosing k different elements from the n of the original set. That is, it is called combinations of m elements taken from k to k to all the possible groupings that can be made with the m elements. It is expressed as:

[tex]Cn,k=\frac{n!}{k!*(n-k)!}[/tex]

Remember that the factorial of a positive integer n is defined as the product of all the natural numbers before or equal to it.

A bookcase contains 2 statistics books and 5 biology books. The total number of book is 7.

2 books are chosen at random. The total outcomes can be obtained by selection of two books from seven books which is represented as follows:

[tex]C7,2=\frac{7!}{2!*(7-2)!}=\frac{7!}{2!*5!}=\frac{5040}{2*120} =\frac{5040}{240} =21[/tex]

The selection of two statistics book from two statistics book is represented as follows:

[tex]C2,2=\frac{2!}{2!*(2-2)!}=\frac{2!}{2!*0!}=\frac{2}{2*1} =\frac{2}{2} =1[/tex]

Then, the probability is:

[tex]P(A)=\frac{C2,2}{C7,2}[/tex]

[tex]P(A)=\frac{1}{21}[/tex]

The chance that both are statistics books is [tex]\frac{1}{21}[/tex]

Answer:

90 degrees

Step-by-step explanation:

Answer: the answer is 144 i kinda had the answer already

Step-by-step explanation:

Answer:

c. 144

Step-by-step explanation:

In a regular polygon, each interior angle has the same measure. There is a formula to find the angle given the number of sides. We are looking at a decagon, which has ten sides, so we would plug the value 10 into the following formula:

[tex]\frac{180(n-2)}{n}\\\frac{180(10-2)}{10} \\\frac{180*8}{10} \\18*8\\144[/tex]

This is option c.

Answer:

[tex]3w + 6 = 21 \\ 3w = 15 \\ w = 5[/tex]

Hey there!

[tex]\mathsf{3w + 6 = 21}[/tex]

[tex]\mathsf{3w + 6 - 6 = 21 - 6}[/tex]

[tex]\mathsf{21 - 6 = \boxed{\bf 15}}[/tex]

[tex]\mathsf{\dfrac{3w}{3}=\dfrac{15}{3}}[/tex]

[tex]\mathsf{\dfrac{15}{3}=\boxed{\bf 5}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your answer: \huge \bf w = 5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

the relative growth rate k = ln( 8 )

Step-by-step explanation:

Given the data in the question;

Initial population = 61 cells

which divides into two cells every 20 minutes;

Now.

dy/dt = ky

where y(t) = y(0) [tex]e^{kt[/tex]

y(t) is the population of bacteria

t is time in hours

y(0) is initial population

we know that, Initial population y(0) = 61

time t = 20 min = ( 20 / 60 )hr = 1/3 hr

so, y(1/3) = 2( 61 ) = 122

Now,

y(t) = y(0) [tex]e^{kt[/tex]

y(1/3) = 61 [tex]e^{k\frac{1}{3}[/tex]

122 = 61 [tex]e^{k\frac{1}{3}[/tex]

divide both sides by 122

2 = [tex]e^{k\frac{1}{3}[/tex]

ln(2) = k × 1/3

k = 3ln(2)

k = ln( 2³ )

k = ln( 8 )

Therefore, the relative growth rate k = ln( 8 )

Answer:

Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Examples: 60° and 30° are complementary angles.

Answer:

Step-by-step explanation:

those two angles which gives 90 degree when added are complementary angles.

9514 1404 393

Answer:

  A, E, F

Step-by-step explanation:

Every point on the graph has coordinates (x, f(x)). This means a point such as (-4, 0) or (5, 0) is a point on the x-axis where f(x) = 0. It is all of ...

These terms are used essentially interchangeably.