An account with an initial balance of $5000 earns 5% interest for 3.5 years.

What is the ending balance?

Enter your answer in the box.

20 POINTS

Answer: 34%

Step-by-step explanation:

Given

Price is marked down by 60% with an additional discount of 15% on the marked down price

Suppose x is the original price of the item

After marking down, it is

[tex]\Rightarrow x-x\times 0.6=0.4x[/tex]

after additional discount it is

[tex]\Rightarrow 0.4x(1-0.15)=0.4x\times 0.85=0.34x[/tex]

Effective discount on the item is

[tex]\Rightarrow \dfrac{x-0.34x}{x}\times 100=66\%[/tex]

Thus, a person is paying [tex]100-66=34\%[/tex] of the original price

Answer:

$2500

Step-by-step explanation:

Given data

Percent commission from sale= 2%

We are told that an associate earned $50 from sales

Let the amount of the sales be x

so

2/100*x= 50

0.02x=50

Divide both sides by 0.02

x=50/0.02

x=2500

Hence the sales made was $2500

Answer:

A

Step-by-step explanation:

You people my pl

Answer:

B

Step-by-step explanation:

95% of the time, population data will fall between 149.61 and 150.39.

A confidence level of 95% means 95% of the time, population data will fall between 149.61 and 150.39. The correct answer would be an option (B).

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

The second statement, "95% of the time, population data will fall between 149.61 and 150.39," is more accurate in terms of what a 95% confidence level implies.

When you conduct a sample survey, you can calculate a confidence interval, which is an estimate of the range of values that the population parameter is likely to fall within.

If the confidence level is 95%, it means that if you were to repeatedly sample the population and construct a confidence interval each time, 95% of those intervals would contain the true population parameter.

Thus, the correct answer would be option (B).

Learn more about the sample here:

https://brainly.com/question/11045407

#SPJ6

Answer:

its B

hope it helps

byeeeee

Answer:

Corresponding angles

Step-by-step explanation:

A corresponding angles is, and I quote, "the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal." (See image below)

So, looking at our words and graph, 5 and 1 are corresponding angles!

Hope this helped!

Source(s) used: G*ogle

Answer:

The answer is c, 250.

Step-by-step explanation:

Smaller number = n - 100

Bigger number = n

n + n - 100 = 400

2n = 500

n = 250

Check that this is true:

250 + 250 - 100 = 400

Answer:

-18v + 9w +15

Step-by-step explanation:

-3(6v-3w-5)

You can use a table or multiply each term

-3(6v)  + -3(-3w) + -3(-5)

= -18v + (9w) + (15)

= -18v + 9w + 15

Answer:

The Answer is odd hope this helps :)

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

y = 1.5x and x = 2

y = 1.5(2)

y = 3

Answer:

Step-by-step explanation:

1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.

2.) 1.07*$450 = $481.50, including sales tax (final price)

3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)

4.) 100-35-45 = 20%

250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.

Answer:

Step-by-step explanation:

A straight line has 180 degrees.

43 + b + 50 = 180       Collect like terms

b + 93 = 180                Subtract 93

b = 180 - 93

b = 87

a + b + 75 = 180      All triangles have 180 degrees.

a + 87 + 75 = 180    Combine like terms

a + 162 = 180           Subtract 162 from both sides

a = 180 - 162

a = 18

Answer:

[6.26,6.29]U[6.31,6.34

Step-by-step explanation:

6.26

6.27

6.28

6.29

6.31

6.32

6.33

6.34

So in interval form [6.26,6.29]U[6.31,6.34]

Answer:

see explanation

Step-by-step explanation:

(a)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (P(16, 9) and (x₂, y₂ ) = Q(22, 24)

[tex]m_{PQ}[/tex] = [tex]\frac{24-9}{22-16}[/tex] = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{2} }[/tex] = - [tex]\frac{2}{5}[/tex] , then

y = - [tex]\frac{2}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, 1) into the partial equation

1 = - 2 + c ⇒ c = 1 + 2 = 3

y = - [tex]\frac{2}{5}[/tex] x + 3 ← equation of perpendicular line

(b)

Given PN = 2NQ , then N sections PQ in the ratio 2 : 1

Using the Section formula to find coordinates of N

N = ( [tex]\frac{16(1)+22(2)}{1+2}[/tex] , [tex]\frac{9(1)+24(2)}{1+2}[/tex] )

   = ( [tex]\frac{16+44}{3}[/tex], [tex]\frac{9+48}{3}[/tex] )

    = ( [tex]\frac{60}{3}[/tex], [tex]\frac{57}{3}[/tex] )

    = (20, 19 )

m<3=60°

Answer:

m<4+m<3=90° each angle of rectangle is 90°

m<3=90-30=60°

Answer:

Find x

Find y

Find x

Find y

Correct choice is A

Step-by-step explanation:

[tex]44 \times 2 = 88[/tex]

Answer:

B, 88 cm

Step-by-step explanation:

Remember, the radius is half the diameter, so if you know the radius, all you have to do is multiply it by 2 to get the diameter.

44*2=88

Diameter=88 cm

Answer:

D (Isosceles Obtuse)

Step-by-step explanation:

Since 2 of the sides are the same length, that would make the triangle an isosceles.

Since 1 of the angles are over 90 degrees, that would make the triangle obtuse.

This makes the triangle an isosceles obtuse triangle.

hope this helps

Answer:

20 π unit ^3 is your answer mate. . .

Answer:

V = 62.8

Step-by-step explanation:

To get the answer. The equation is pi(r)^2. You square the radius (2 x 2) which equals 4 and then you times it by the height, which is 5. This gives you 20, and then you multiply pi to it (3.14) to get an exact answer of 62.8.

Answer:

42 square units

Step-by-step explanation:

imagine the rectangle around the original shape, it would be LxW which wold be 9 x 6 = 54. Then if you find the area of the two triangles cut out of the left and right sides, each triangle area is 1/2 base x height, which is 1/2(6x2)=1/2(12)=6 and x2 for 2 triangles and that = 12.

Now subtract 54-12=42 sq. units shaded.

Answer:

I believe it's either between a or d

Step-by-step explanation:

I am not really sure but hope it helps

Hope you also have a great day!

Answer:

d. 3.1 miles

Step-by-step explanation:

tan 24= x/6.9

x= 6tan24

x=3.072077929

x=3.1 miles

Answer:

35%

Step-by-step explanation:

If you see 2/3 as it is, each piece could be 35 pieces, leaving you with the profit, 35%

Plain explanation but I hope this helped!

Answer:

-179, since it is negative then there are no real roots

Step-by-step explanation:

b²-4ac is the discriminant formula

9v² + v + 5 = 0  ∴  a = 9, b = 1, c = 5

1² - 4(9)(5) = -179

Answer:

41

Step-by-step explanation:

Answer:

464 feet

Step-by-step explanation:

The Sine of the angle of inclination gives the increase in altitude.

This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e

Sin Ф = Opposite  ÷ Hypotenuse

Sin 5° = O ÷ 5328

0·08716 = O ÷ 5328

Make O the subject and multiply every fraction by 5328

(0·08716/1 × 5328)= (O/5328 × 5328)

464·388 = O

∴ The increase in altitude is 464·388 feet

This is supposed to be to the nearest foot so we round off

464·388 becomes 464 feet

Answer: 3x^2 − 7x − 6