A triangle has side lengths of (10x + 7y) centimeters, (3x + 3z) centimeters, and (8z +10y) centimeters. Which expression represents the perimeter, in centimeter of the triangle?
a:20yz+21xz
b:13x+10y+18z
c:6xz+18yz+17xy
d:13x+17y+11z​

Answer:

$2,800

Step-by-step explanation:

The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.

I = (2000)(0.05)(8)

I = $800

Then we add that to the principal to get $2,800

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Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?

I = PRT

400 = P(0.06)(3)

400 = 0.18P

P = $2,222. 22

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Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?

I = PRT

I = (275)(0.08)(12)

I = $264

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Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???

I = PRT

I = (6000)(0.05)(T)

Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.

Answer:

not a function

Step-by-step explanation:

using vertical line test

Answer:

The point is [tex]\mu - 98[/tex], in which [tex]\mu[/tex] is the average per month.

Step-by-step explanation:

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.

Normal distribution with an average of per month and a standard deviation of​ $50 per month.

Average of [tex]\mu[/tex], standard deviation [tex]\sigma = 50[/tex]

Find the point in the distribution below which​ 2.5% of the​ PCE's fell.

This is below the 2.5th percentile, which is the X when Z has a pvalue of 0.025, so X when Z = -1.96.

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

[tex]-1.96 = \frac{X - \mu}{50}[/tex]

[tex]X - \mu = -1.96*50[/tex]

[tex]X = \mu - 98[/tex]

The point is [tex]\mu - 98[/tex], in which [tex]\mu[/tex] is the average per month.

Answer:

[tex] m\overset{\Large\frown}{ABC} \: = \: 196° [/tex]

Answer/Step-by-step explanation:

The triangle given is a right triangle

Reference angle = angle E

Thus:

The side that is opposite to angle E is side DF = e

The side that is adjacent to angle E is side EF = d

The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f

Answer:

II

Step-by-step explanation:

According to the graph,,,,they soent atleast abit over $100 so it can be choice a,secondly there bill had only manage to decrease about three times but only increased once so the answer is II only

Answer:

See attachment for image

Step-by-step explanation:

Given

[tex]Width = 9[/tex]

[tex]Perimeter = 40[/tex]

Required

The image that illustrates the patio

The question is incomplete as the possible images are not given. So, I will attach an image that illustrates the scenario.

But first, the length of the patio must be calculated using perimeter formula

[tex]Perimeter = 2 *(Length + Width)[/tex]

[tex]40 = 2 *(Length + 9)[/tex]

Divide both sides by 2

[tex]20 = Length + 9[/tex]

Solve for Length

[tex]Length = 20 - 9[/tex]

[tex]Length = 11[/tex]

This implies that the dimension of the patio is 11 units by 9 units (See attachment)

Answer:

Step-by-step explanation:

If we let the points in the first graph define the position and slope of a line through the points, this line would have a negative slope and a negative trend line.  As x increases, y decreases.

Answer: it’s A. I took the test.

Step-by-step explanation:

the Beatles are better than the stones and that is a fact

Answer:

3) not equivalent

4) equivalent multiply by 2

5) equivalent multiply by 2

Answer:

x=-3

Step-by-step explanation:

-15x=45

x=-45/15

x=-3

Answer:

okay x=-3

Step-by-step explanation:

-15x=45

-15/-15=45/15

x=-3

Answer:

use the app photomath its free. and shows you all the steps

Step-by-step explanation:

Answer: C. Step 3

Step-by-step explanation:

Since we are informed that Ty tried to evaluate the expression step by step. The expression given is:

8x2x3

Step 1: =8x(2x3)

Step 2: =8x6

Step 3: =42

From the above, we can see that both step 1 and step 2 are correct but step 3 is wrong because 8 × 6 isn't equal to 42 but rather 48.

8 × 6 = 48 and not 42.

Therefore Ty's mistake is step 3.

Answer:

30 foot by 20 foot

Step-by-step explanation:

1 inch = 10 inch

2 foot = d foot

Cross products: 1xd=2x10

d=20foot

1 inch = 15 inch

2 foot = d foot

Cross products: 1xd=2x15

d=30foot

Answer:

choice 1: m = 6 1/2

Step-by-step explanation:

m - 2 1/2 = 4

add 2 1/2 to each side of the equation:

m - 2 1/2 + 2 1/2 = 4 + 2 1/2

m = 6 1/2

Answer:

C- are moving close together very quickly and then very far apart suddenly

Answer:

C. 4 square centimeters

Answer:

Maybe B?

Step-by-step explanation:

Answer:

1,390x

Step-by-step explanation:

Y = 475x + 250 = 725x

Y = 565x + 100 = 665x

If your look for the sum, its 1,390x

Answer:

54 miles

Step-by-step explanation:

divide 162/3.

Answer:

18, 6, 108

Step-by-step explanation:

The figure below is a right rectangular prism with rectangle ABCD as its base.

A rectangular prism is shown. Rectangles A B C D and W X Z Y are the bases. The length of A D is 9 centimeters and the length of C D is 2 centimeters. The height of A W is 6 centimeters.

What is the area of the base of the rectangular prism?

✔ 18

square centimeters

What is the height of the rectangular prism?

✔ 6

centimeters

What is the volume of the rectangular prism?

✔ 108

cubic centimeters

Answer:

18, 6, 108

Good Luck!

Given:

Mike gets an 8% commission on the sporting goods that he sells.

One day he sold sporting goods worth 1,384.

To find:

The commission for that day.

Solution:

According to the given information,

Commission = 8% of total sales of sporting goods

One day he sold sporting goods worth 1,384. Then, the commission for that day is

[tex]\text{Commission}=\dfrac{8}{100}\times 1384[/tex]

[tex]\text{Commission}=\dfrac{11072}{100}[/tex]

[tex]\text{Commission}=110.72[/tex]

Therefore, the commission for that day is 110.72.

Answer:

191.159619167

Step-by-step explanation:

Answer:

a= $54764.26

Step-by-step explanation:

r=R/100

r=4.5/100

r=0.045 rate per year

A = P(1 + r/n)nt

A = 10,000.00(1 + 0.045/4)(4)(38)

A = 10,000.00(1 + 0.01125)(152)

A = $54,764.26

Answer:

r = 100 km/hr is the average speed of the car.

Step-by-step explanation:

The formula which relates distance d, time t, and speed or rate of travel r is:

d = rt.

We're given that the distance traveled d = 50 km and the time t traveled = 30 minutes = 1/2 hr. Substituting this given information into the distance-rate-time formula for d and t to find r, we get:

50 km = r(1/2 hr)

Now, dividing both sides by 1/2 hr, we have:

50 km/(1/2 hr) = [r(1/2 hr)]/(1/2 hr)

50 km/(1/2 hr) = r[(1/2 hr)/(1/2 hr)]

[50 km/(1/2)] km/hr = r[(1/2 hr)/(1/2 hr)]

50(2/1) km/hr = r[1]

100 km/hr = r[1]

r = 100 km/hr is the average speed of the car.

Answer:

V = 20.64573mm^3

Step-by-step explanation:

a = 15/5 = 3

h = 4

V = (5/12) tan(54) h a^2

V = (5/12) tan(54) (4) (3)^2

V = 20.64573