Compute the amount of interest earned in the following simple interest problem. A deposit of $4,500 at 5% for 3 years:

$67.50
$6.75
$675.00
$6,750.00

Answer:

Step-by-step explanation:

(a) 3 of the 6 numbers on the die are even, so the probability that one of them will show is 3/6 = 1/2.

__

(b) 2 of the 6 numbers on the die are less than 3, so the probability that one of them will show is 2/6 = 1/3.

Answer: 657,720

Step-by-step explanation:

If each person can have only one role, we have that:

For the Editor selection we have 30 possible options

for the pothograper we have 29 options, because we already selected one

for the designer we have 28 options

for the advisor we have 27 options

the total number of combinations is the product of the options for each selection;

C = 30*29*28*27 = 657,720

YuAnswer:

Step-by-step explanation:

I really don't know the answer sorry

Answer:

B.

Step-by-step explanation:

First angle 1 and 2 add up to 180 and then angle 2 and 3 also add up to 180. So angle 2 is common hence both are congruent to each other.

Answer:

A"(-3, 1)

B"(-3, 3)

C"(-6, 3)

D"(-6, 1)

Step-by-step explanation:

first, find the coordinate after you move it to the left by simply adding 2 to the X coordinate because left and right is in the X plane.

you will get these;

A"(-3, -1)

B"(-3, -3)

C"(-6, -3)

D"(-6, -1)

Then, to find the new coordinate after getting the rectangle reflected across the x-axis, simply change all Y coordinate into positives.

HOPE THIS HELPS :))

Answer:

a) Attached.

b) Probabiltiy of survival = 0.35

Step-by-step explanation:

a) The probability tree is attached as a picture.

This is constructed with the two events (landing and survival), with their associated probabilities.

The events are dependant, as the probability of survival depends on the outcome of the first event (the soil where the seed landed).

b) The probability of survival can be calculated as the sum of the probabilities that include the event "survives":

[tex]P(s)=P(H\&s)+P(M\&s)+P(L\&s)\\\\P(s)=P(H)P(s|H)+P(M)P(s|M)+P(L)P(s|L)\\\\P(s)=0.3*0.8+0.2*0.3+0.5*0.1\\\\P(s)=0.24+0.06+0.05\\\\P(s)=0.35[/tex]

The first line adds the three joint events that end with survival (land on high quality soil H and survive S, for example).

The second line splits the probability but the survival is conditioned to the soil where the seed has landed. That is why it is a conditional probability.

Answer:

CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

Answer: 12

Step-by-step explanation: 35 - 23

Answer:

4600 tenths as a Fraction

Since 4600 tenths is 4600 over ten, 4600 tenths as a Fraction is 4600/10.

4600 tenths as a Decimal

If you divide 4600 by ten you get 4600 tenths as a decimal which is 460.00.

4600 tenths as a Percent

To get 4600 tenths as a Percent, you multiply the decimal with 100 to get the answer of 46000 percent.

4600 tenths of a dollar

First we divide a dollar into ten parts where each part is 10 cents. Then we multiply 10 cents with 4600 and get 46000 cents or 460 dollars and 0 cents.

Step-by-step explanation:

Hope this helped!

Stay safe!!!

Answer:

Step-by-step explanation:

To answer this, multiply 4600 by 10:  46000.  There are 46000 tenths in 4600.

Answer:

$9

Step-by-step explanation:

So say the cost of 1 new release DVD movie is x.

The equation is 52 + 3x = 79

3x = 27

x = 9

Answer: 6

Step-by-step explanation:

Answer:

The answer is 6, 6 is the GCF

Step-by-step explanation:

6 is the the Greatest Common Factor (GCF) because 6 can go into both numbers 18 and 30 evenly, 6 can multiply with 3 for the product to be 18 and 6 can multiply with 6 for the product to be 30. I hope this help.    :  )

Answer:

a) [tex] E = \frac{49.2-17.6}{2}= 15.8[/tex]

b) For this case we have 95% of confidence that the true mean would be between [tex]\pm 15.8[/tex] units respect the true mean.

c) [tex]n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112[/tex]

So the answer for this case would be n=112

d) [tex]36.5-2.58\frac{45}{\sqrt{112}}=25.53[/tex]    

[tex]36.5+2.58\frac{45}{\sqrt{112}}=47.47[/tex]

Step-by-step explanation:

Part a

For this case we know that the cinfidence interval for the true mean is given by:

[tex] \bar X \pm E[/tex]

Where E represent the margin of error. For this case we have the confidence interval at 95% of confidence and we can estimate the margin of error like this:

[tex] E = \frac{49.2-17.6}{2}= 15.8[/tex]

Part b

For this case we have 95% of confidence that the true mean would be between [tex]\pm 15.8[/tex] units respect the true mean.

Part c

The margin of error is given by this formula:

[tex] ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex]    (a)

And on this case we have that ME =11 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

[tex]n=(\frac{z_{\alpha/2} \sigma}{ME})^2[/tex]   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The critical value would be [tex]z_{\alpha/2}=2.58[/tex], replacing into formula (b) we got:

[tex]n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112[/tex]

So the answer for this case would be n=112

Part d

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex]   (1)

Replcaing the info given we got:

[tex]36.5-2.58\frac{45}{\sqrt{112}}=25.53[/tex]    

[tex]36.5+2.58\frac{45}{\sqrt{112}}=47.47[/tex]

Answer:

17.07m/s

Step-by-step explanation:

v=d/t

d=956km

t=56sec

v=956/56

v=17.07m/s

Answer:

  -5

Step-by-step explanation:

If the second equation is multiplied by 4, the coefficient of the x-variable will be 5·4 = 20. To eliminate the x-variable by addition, the first equation needs to be multiplied by a value that will result in an x-coefficient of -20. If that value is k, then we have ...

  4k = -20

  k = -20/4 = -5

The first equation should be multiplied by -5 to eliminate the x-variable by addition.

_____

Comment on general case

In general, if you have ...

  ax +by = c

  dx +ey = f

to eliminate the x-variable by addition, you can multiply the second equation by "a" and the first equation by "-d". In the problem above, those numbers are 4 and -5.

Answer:

-5

Step-by-step explanation:

Answer:

3/90

Step-by-step explanation:

1 slot  is 1/30

2 slot is 1/30

3 slot is 1/30

this gives you that 3/90 when you had them

Answer:

D)  1/(30×30×30) = 1/27000 = 0.00003 or 0.003%

Step-by-step explanation:

Answer: A. (0,a)

[tex]f(x) = a \cdot b^x[/tex]

[tex]f(0) = a \cdot b^0 = a \cdot 1 = a[/tex]

Answer:

I think it's B, but I don't really know how to explain it. Please rate this answer 5 stars if it is correct.

Step-by-step explanation:

Answer:

236

Step-by-step explanation:

Answer:

3x =  - 18

Step-by-step explanation:

1. Simplify this equation in terms of what is already provided:

3x + 4 = 5x - 4x - 8 ⇒ 3x + 4 = x - 8

2. Now subtract 3x from either side, at the same time adding 8 to either side:   3x + 4 = x - 8 ⇒ 4 = -2x - 8 ⇒ 12 = -2x

3. Divide -2 on either side to isolate the x, and recieve it's value:

12 = -2x ⇒ x = 12/-2 ⇒ x = -6

4. The question demads for the value of 3x, so simply multiply the known value of x by 3, as such: x = -6 ⇒ 3x = -6 * 3 = -18

Answer:

$10.00 per hour

Step-by-step explanation:

Overhead application rate which is also known as overhead absorption rate on the basis on labor hours is the total budgeted overhead  for 2019 which is $900,000 divided by the expected production of 90,000 labor hours for the year.

overhead application rate=$900,000/90,000=$10 per hour

This implies that for every one hour worked overhead cost of $10 would be added to the other costs incurred.

The correct option then is the third option of $10.00 per hour

Answer:

B.

Step-by-step explanation:

So, first off, the quadratic formula is -b plus or minus sqrt(b^2-4ac)/2a. Plug the equation given, and you get B.

Answer:

First find the distance per hour by dividing

432/24=18

multiply the rate with 16 hours

18 km per hour x 16 hours = 288 km in 16 hours

Step-by-step explanation:

Answer:

288km

Step-by-step explanation:

if a boat travels 432km in 24 hours .

then

it will cover x km in 16 hours

Using Direct Proportion:

[tex] \mathsf{x = \frac{432 \times 16}{24} } [/tex]

[tex] \mathsf{x = \frac{432 \times 2}{3} }[/tex]

[tex] \mathsf{ x = 144 \times 2}[/tex]

[tex] \boxed{ \mathsf{ \implies \: 288km}}[/tex]

hence the boat is gonna travel 288km in 16 hours

Answer:

yes

Step-by-step explanation:

yes

Answer:

18x^2 + 9x - 5

Step-by-step explanation:

Combine like terms:

(9x^2-8) + (9x^2+9x+3)

= 9x^2 + 9x^2 + 9x - 8 + 3

= 18x^2 + 9x - 5

Answer:

?/????????

Step-by-step explanation:

Answer:

Question 1: 890dg

Question2: 659dg

Step-by-step explanation:

1kg=10000dg

Question 1:

0.089kg=0.089 x 10000=890

0.089kg=890dg

Question 2:

0.0659kg=0.0659 x 10000=659

0.0659kg=659dg

Answer:

the answer is d

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

B is correct

Step-by-step explanation:

Side ratio is 40/25 = 8/5

Answer:

B.

Step-by-step explanation:

Finding scale factor, we find the ratio between twp sides of the dilated triangle corresponding to each other.

Scale Factor = Side of the dilated Δ / Corresponding side of the old triangle

scale factor = 40/25

simplifying

Scale Factor = 8/5

Answer:

The total cost of painting the deck and add fencing is $1,386.79.

Step-by-step explanation:

Consider the diagram below.

The smaller circle represents Jeanine’s swimming pool with diameter,

d = 27 feet.

And the outer circle represents the deck.

The width of the deck is 5 feet.

Then the diameter of the bigger circle is:

D = 27 + 5 + 5 = 37 feet

It is provided that Jeanine wants to paint the deck and the paint costs $0.85 per square foot.

The cost of painting the deck can be computed using the formula:

Cost of painting = Area of Deck × Cost of paint/square foot

Compute the area of the deck as follows:

Area of Deck = Area of bigger circle - Area of smaller circle

                      [tex]=\pi R^{2}-\pi r^{2}\\\\=\pi(R^{2}-r^{2})\\\\=\frac{22}{7}\times [(\frac{37}{2})^{2}-(\frac{27}{2})^{2}]\\\\=502.86[/tex]

Then the cost of painting the deck is:

Cost of painting = Area of Deck × Cost of paint/square foot

                           [tex]=502.86\times \$0.85\\=\$427.431\\\approx \$427.43[/tex]

The cost of painting the deck is $427.43.

Now Jeanine also wants to put a fence around the deck.

The cost of fencing is, $8.25 per foot.

The cost of putting the fence can be computed using the formula:

Cost of putting the fence = Circumference of the big circle × Cost of fencing

Compute the cost of putting the fence as follows:

Cost of putting the fence = Circumference of the big circle × Cost of fencing

                                          [tex]=2\pi R\times \$8.25\\\\=2\times \frac{22}{7}\times \frac{37}{2}\times \$8.25\\\\=\$959.36[/tex]

The cost of putting the fence is $959.36.

The total cost of painting the deck and add fencing is:

Total Cost = Cost of painting the deck + Cost of putting the fence

                 = $427.43 + $959.36

                 = 1386.79

Thus, the total cost of painting the deck and add fencing is $1,386.79.

Answer:

[tex]A=2400ft[/tex]

Step-by-step explanation:

A rectangle is a closed planer quadrilateral with four  right angles and its opposite sides are the same length. The fence around it including the gates is 200 feet long, so basically they are providing the perimeter of the rectangle. The perimeter of a rectangle is equal to the sum of all its sides. Hence:

[tex]Perimeter=w+h+w+h=2w+2h\\\\Where:\\\\w=Width\\h=Height[/tex]

The ectangular playground is 40 feet wide, so:

[tex]w=40ft[/tex]

Therefore:

[tex]Perimeter=2w+2h\\\\200=2(40)+2h\\\\200=80+2h[/tex]

Solving for h:

[tex]2h=200-80\\\\2h=120\\\\h=\frac{120}{2} \\\\h=60ft[/tex]

The area of a rectangle is equal to the product of two of its contiguous sides, hence:

[tex]A=wh\\\\A=(40)(60)=2400ft[/tex]

I attached you a picture of the rectangle

Answer:

d 132

Step-by-step explanation:

Answer:

THE ANSWER IS D

Step-by-step explanation: