Xander is starting his own small business. He borrows $10,000 from the bank at a 4% rate for 5 years. Find the interest he will pay on this loan.

Answer:

11

Step-by-step explanation:

55/5=11

hope it helps!

Answer:

Michael starts a website for people in his town to share news and photos.  Before launching the website, he has his friends and family sign up.  Then, he uses the equation shown below to estimate the number of user, y, who will have signed up x weeks after he officially launches the website.

y = 82(1.045)x

What is the rate of growth Michael expects each week after launching the website?

The answer will be %0.045

Step-by-step explanation:

The rate of growth Michael expects each week after launching the website is 4.5%.

Given that,

Based on the above information, the calculation is as follows:

Since 1.045 is given so this means 4.5% is the growth rate.

Therefore we can conclude that the rate of growth Michael expects each week after launching the website is 4.5%.

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Answer:

20

Step-by-step explanation:

the hypotenuse is double the length of the shortest leg

Answer: You would need 3 years till the total value is less than the 2,000.

Step-by-step explanation:

Year 1.) 1,500

Year 2.) 1,125

Year 3.) 843.75

Answer:

9

Step-by-step explanation:

if the equation is what i think it is, its

4 x (3+2) - 11 = 9

3+2=5

4x5=20

20-11=9

Answer: 6 cubic feet

hope this helps :}

Answer:

y = 1/2x + 4

Step-by-step explanation:

If it's parallel, then the slope will remain the same.

To find the y-intercept, you have to plug the coordinates into the equation.

y = 1/2x + b

6 = 1/2 (4) + b

6 = 2 + b

4 = b

Answer:

rational

Step-by-step explanation:

if it does not terminate nor become periotic it is irrational other wise it is rational

Answer:

Total=600+70(x)

The average cost of the phone is C(x) = (600 + 70x)/x.

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

Given that,

The fixed price of the cellphone is $600.

And, the monthly plan is $70.

Now, the cost of the phone increases with the number of months and the average cost is the total cost divided by the number of months.

As per the question the average cost can be written as,

C(x) = (600 + 70x)/x

Where x is the number of months.

Hence, the average cost of the given phone can be written in terms of the function of month as C(x) = (600 + 70x)/x.

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Answer:

Yes

Step-by-step explanation:

The idea is to use the formula for perpendicular gradients,

meaning m1 * m2 = -1

Since L2 passes through 2 points and to find gradient we just need 2 points,

we can use the 2 given points given

L2 gradient is (9 - (-7)) / (7 - (-1)) = 16/8 = 2

x + 2y = 4 rewrite as  y = -(0.5)x + 2

so our m1 is -0.5 and m2 is 2

-0.5 * 2 = -1  which was what we wanted to show.

L1 and L2 are perpendicular

Yes, Michael is correct.

Thew lines L1 and L2 are perpendicular.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

The straight line L1 has equation x + 2y = 4.

y = -x/2 + 2.

The straight line L2 passes through the points (-1, -7) and (7, 9).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = 16/8

m = 2

Slope of L1 = -1/2 and slope of L2 = 2.

The slope of the lines are negative reciprocal of each other.

That means, the lines are perpendicular.

Therefore, lines are perpendicular.

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Answer:

x = 5

Step-by-step explanation:

Use the slope formula and slope-intercept form  y =  m x  +  b  to find the equation.

Hope this helps:)

Answer:

11.8 ;

0.1036360

Step-by-step explanation:

Mean births per day, μ = number of births per year / number of days in a year ;

4310 / 365 = 11. 8 births per day

From poisson distribution :

P(x) = (μ^x * e^-μ) ÷ x!

P(x = 13) = (11.8^13 * e^-11.8) ÷ 13!

P(x = 13) = 6.453438E8 / 13!

P(x = 13) = 0.1036360

Answer:

132 square units

Step-by-step explanation:

We are to find the surface area of a square pyramid.

From the diagram above, we are given:

Slant height = 6 units

Base = 8 units

The formula is given as:

= 2bs + b²

= 2 × 8 × 6 + 6²

= 96 + 36

= 132 square units

Answer:

8(3j-2) and 4(6j−4)

there you go!!

Answer:

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

Hey There!

So the rule about interior angles of a trapezoid

is that the angles that lie on the segments that are not parallel are supplements

so essentially what I'm saying is that angle R and angle U are supplementary angles so to find x we do

180=15x+8+7x-4

step 1 combine like terms

15+7=22

8-4=4

now we have

180=22x+4

step 2 subtract 4 from each side

180-4=176

now we have

176=22x

step 3 divide each side by 22

176/22=8

so x=8

now we plug in 8 to 15x+8

8x15=120

120+8=128

so we can conclude that angle R = 128

Answer:

R ≥-4

Step-by-step explanation:

Substitute

2r-1>-3r-21

+3r

5r-1>-21

5r>-20

Divide 5

R>-4

Answer:

[tex]EF=4\sqrt{3}[/tex]

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

[tex]A_{\text{rect}}=8(6)=48\text{ cm}^2[/tex]

The area of the triangle is 1/4 of this. Therefore:

[tex]\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2[/tex]

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

[tex]\displaystyle 12=\frac{1}{2}(DE)(DF)[/tex]

Since DE = DF:

[tex]24=DF^2[/tex]

Thus:

[tex]DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE[/tex]

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

[tex](DE)^2+(DF)^2=(EF)^2[/tex]

Therefore:

[tex](2\sqrt6)^2+(2\sqrt6)^2=EF^2[/tex]

Square:

[tex]24+24=EF^2[/tex]

Add:

[tex]EF^2=48[/tex]

And finally, we can take the square root of both sides:

[tex]EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}[/tex]

Answer:

4\sqrt3

Step-by-step explanation:

we know that the area is 6 * 8 = 48 cm^2. because triangle DEF is one fourth of that, triangle DEF's area would be 12.

to find the hypotenuse of triangle DEF, we would first need to find the bases (which have equal lengths). 1/2 * b * b = 12, so b^2 = 24. using the pythagorean theorem, we have \sqrt24 + \sqrt24 = h^2 which means h is the sqrt of 48. simplified, we have 4\sqrt3.

Answer:

92.5

Step-by-step explanation:

Answer:

1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent

Step-by-step explanation:

congruent is are the same size and shape, similar have different sizes.

Answer:

Hanno moves faster than Simone.

Step-by-step explanation:

Simone: 25x100=2500m or 2.5km in 25x12=300 seconds or 5 minutes

Hanno- 2.5 km in 4minutes

So, Hanno moves 1 minute faster.

Please mark as brainliest.

Answer:

True based on the conveniently provided picture

Step-by-step explanation:

Step-by-step explanation:

step 1. since we have a right triangle we can use trigonometry

step 2. <A: 5 is the opposite and 8 is the hypotenuse so we use sine

step 3. sinA = opp/hyp = 5/8

step 4. A = 38.68° using inverse sine on your calculator.