jacob received $500 for christmas from his parents, he wants to put it into an account that will pay him 7.75% interest each year. if he wants to withdraw all his funds at the end of the year. how much will he withdraw

Answer:

See below.

Step-by-step explanation:

In each case, you are looking for time. We know speed is distance divided by time. Lets start with the speed formula.

speed = distance/time

Now we solve it for time. Multiply both sides  by time and divide both sides by speed.

speed * time = distance

time = distance/speed

Time is distance divided by speed. In each problem, you have a speed and a distance. Divide the distance by the speed to to find the time.

1) speed = 44.1 km/h; distance = 150 km

time = distance/speed = 150 km/(44.1 km/h) =

= 3.401 hours = 3 hours + 0.401 hour * 60 min/hour = 3 hours 24 minutes

2) speed = 120 km/h; distance = 90 km

time = distance/speed = 90 km/(120 km/h) =

= 0.75 hours = 0.75 hour * 60 min/hour = 45 minutes

3) speed = 125 m/s; distance = 500 m

time = distance/speed = 500 m/(125 m/s) =

= 4 seconds

Answer:

The answer is

Step-by-step explanation:

To simplify , factorize

x² - 4x + 4 and x² - 4

For x² - 4x + 4

Write - 4x as a difference

x² - 2x - 2x + 4

x( x - 2) - 2(x - 2)

(x - 2)(x - 2)

For x² - 4

use the formula

a² - b² = ( a+b)( a - b)

That's

x² - 4 = (x + 2)(x - 2)

So now we have

Change the division sign to multiplication sign and reverse the second fraction

That's

Simplify

We have

Reduce the expression with x + 2

That's

Multiply the fractions

We have the final answer as

Hope this helps you

Answer:

Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.

Step-by-step explanation:

The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.

Also, according to the inscribed angle theorem, an inscribed angle is ½ of the measure of the arc it intercepts.

Therefore, m<CBD is half of m<CAD, or half of the measure of the arc CD that they both intercept together.

Thus, m<CBD = 55°, which is ½ of m<arc CD.

m<arc CD = 110° = m<CAD.

m<CBD = ½ of m<CAD = 55°.

The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."

Hey there! I'm happy to help!

The unit rate is how much stuff there is per 1 unit. All ratios can be rewritten as fractions, this one could be 0.2/0.5. The word per means divide, and fractions are basically dividing. So, we want the denominator to be 1.

To get 0.5 to 1, we multiply by 2. So, we will multiply the fraction by 2/2.

0.2/0.5(2/2)=0.4/1

Therefore, the unit rate is 0.4/1 or 0.4:1 or 0.4 per 1.

Have a wonderful day! :D

Answer: 0

Work Shown:

Factors of 48 = {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}

Erase the odd numbers of that list to get {2, 4, 6, 8, 12, 16, 24, 48}

Then highlight stuff that is greater than 24, and less than 48 at the same time.

No factors fit this description since 24 cannot be larger than itself, and 48 cannot be smaller than itself.

Answer: 0

Step-by-step explanation:

There is no number greater than 24 and less than 48.

Answer: 1/4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

=(-5)+(-10)+(-9)/2*(-3)

=-5-10-9/-6

=-24/-6

=4 ans.....

Answer:

C

Step-by-step explanation:

A segment joining the midpoints of two sides of a triangle is half the length of the third side.

SP is a midline segment, thus

SP = [tex]\frac{1}{2}[/tex] LN , that is

2x + 3 = [tex]\frac{1}{2}[/tex] (5x - 14) ← multiply both sides by 2

4x + 6 = 5x - 14 ( subtract 4x from both sides )

6 = x - 14 ( add 14 to both sides )

20 = x

Thus

SP = 2x + 3 = 2(20) + 3 = 40 + 3 = 43 → C

Answer:

x=6

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-(24)=0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  4x - 24  =   4 • (x - 6)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true

2.1      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    x-6 = 0

Add  6  to both sides of the equation :

                     x = 6

One solution was found :

x = 6

Answer:

x= 24/ 4

Step-by-step explanation:

You can simplify it

x= 6/1 which is x= 6

Answer:

x = 60/83

Step-by-step explanation:

Solve for x:

10 - (83 x)/6 = 0

Put each term in 10 - (83 x)/6 over the common denominator 6: 10 - (83 x)/6 = 60/6 - (83 x)/6:

60/6 - (83 x)/6 = 0

60/6 - (83 x)/6 = (60 - 83 x)/6:

(60 - 83 x)/6 = 0

Multiply both sides of (60 - 83 x)/6 = 0 by 6:

(6 (60 - 83 x))/6 = 6×0

(6 (60 - 83 x))/6 = 6/6×(60 - 83 x) = 60 - 83 x:

60 - 83 x = 6×0

0×6 = 0:

60 - 83 x = 0

Subtract 60 from both sides:

(60 - 60) - 83 x = -60

60 - 60 = 0:

-83 x = -60

Divide both sides of -83 x = -60 by -83:

(-83 x)/(-83) = (-60)/(-83)

(-83)/(-83) = 1:

x = (-60)/(-83)

Multiply numerator and denominator of (-60)/(-83) by -1:

Answer: x = 60/83

Answer:

1 meter = 3.28 feet

Step-by-step explanation:

The unit of conversion from meters to feet is given as follows;

By convention

1 yard = 09144 meters

1 yard = 3 feet

Therefore, we have;

1 foot = 0.9144/3 = 0.3048 m

Alternatively we can get;

1 inch = 0.0254 meters

1 foot = 12 inches

Therefore, we have;

1 foot = 12 × 0.0254 = 0.3048 meter

Which gives;

1 foot = 0.3048 meter

Given that 0.3048 meter = 1 foot, to find the measure of 1 meter, we proceed by dividing both sides of the equation by 0.3048 to get

0.3048/0.3048 meter = 1/0.3048 foot = 3.28084 feet

1 meter = 3.28084 feet. ≈ 3.28 feet to the nearest hundredth

Answer:

Step-by-step explanation:

Let n and r represent the output in liters per hour of the Nguyen and Reed family sprinklers, respectively. Then we have ...

  15n +25r = 1175 . . . . total sprinkler output

  n + r = 55 . . . . . . . . . sum of two output rates

The second equation tells us we can substitute n = 55 -r into the first equation:

  15(55 -r) +25r = 1175

  10r = 1175 -825 . . . . . . subtract 825

  r = 350/10 = 35 . . . . . . divide by 10

  n - 55 -35 = 20 . . . . . . find n from r

Nguyen family's sprinkler: 20 L per hour

Reed family's sprinkler: 35 L per hour

Answer:

130

Step-by-step explanation:

Probability of green:

Number of attempts:  

Expected number of landing on green:

Answer: 130 times

Answer:

Step-by-step explanation:

slope intercept form: y=mx+b

m= slope

b= y-intercept

y= 7x - 9

slope= 7

y-int.= -9

y= 3x - 1

slope 3

y-int.= -1

7x-9 = 3x-1

Add 9 to both sides: 7x = 3x +8

Subtract 3 from both sides: 4x = 8

Divide by 4 on both sides: x =2

Substitute 8 into the equation: y = 3(2) -1

y = 5

Solution: (2,5)

Answer: 104,805

Step-by-step explanation:

just add

Answer:

104,805

Step-by-step explanation:

add it in each placement form

Answer:

if an angle measures more than 90 degrees, then the angle is obtuse

Answer:

D. 4x+5x=180

Step-by-step explanation:

Answer:

D. 4x + 5x = 180

Step-by-step explanation:

The two angles form a straight line and a straight line equals 180°. So, the sum of the two angles has to equal 180°.

4x + 5x = 180

9x = 180

x = 20°

Hope that helps.

Answer:

Option B.

Step-by-step explanation:

Consider the correct question is "Which statement correctly compares

1. -201  and  151

-201 = 151

-201 < 51

-201 > 151"

The given numbers are -201 and 151. We need to compare these numbers.

We know that all negative numbers are less than positive numbers.

So,

-201 < 151

If both numbers are negative, then the larger negative number is the smaller number.

Therefore, the correct option is B.

Answer:

7 divided by 4 is 1 ¾ as a fraction, or 1.75 as a decimal.

Step-by-step explanation:

Pls mark as brainliest answer

The calculated division of the numbers seven divided by 4 is 1 3/4

From the question, we have the following parameters that can be used in our computation:

seven divided by 4

When represented as an equation, we have

seven divided by 4 = 7/4

Divide 7 by 4

So, we have the following result

seven divided by 4 = 1 3/4

Using the above as a guide, we have the following:

the result is 1 3/4

Read more about quotient at

brainly.com/question/11418015

#SPJ6

Answer:

D

Step-by-step explanation:

When you graph the first equation y = (x + 4) it will have a x-intercept of -4 and a y-intercept of 4.  

When you replace x with (x-7) the equation will be converted into

y = ((x-7)+4)

y = x-3

When you graph this you see it has a x-intercept of 3 and a y-intercept of -3

To find the distance add the 2 x values together:

-4 + (-3) = ?

-4 -3 = ?

-7 = ?

Therefore the graph will shift units right

Answer:

20

Step-by-step explanation:

If point B is on line segment AC, then we know for sure AB + BC = AC.

To understand this better, draw a line segment, then put a point anywhere on the line segment. There are two line segment divided by that point. If you combine those two line segments then you have your original figure.

So 11 + 9 = 20.

Answer:

Yes

Step-by-step explanation:

we move the decimal point 4 times to the right

1st time

32.2

2nd time

322

3rd time

3220

4th time

32,200

Answer:

No

Step-by-step explanation:

3.22 x 10 = 32.2

32.3 to the fourth power = 107.50

107.50 < 32,200

Therefore it is not equal to 32,200

Answer:

Step-by-step explanation:

1) ΔCPD & ΔEPF

∠CPD = ∠EPF   { Vertically opposite angles}

∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}

ΔCPD ≈ΔEPF  {AA criteria for similarity }

[tex]\frac{DC}{EF} =\frac{PC}{EP}\\\\\\\frac{27}{EF}=\frac{15}{7.5}\\\\[/tex]

Cross multiply

EF * 15 = 27 * 7.5

[tex]EF =\frac{27*7.5}{15}\\\\[/tex]

EF = 27 * 0.5

EF = 13.5 cm

ii) EF // AB, so Triangles ACB & ECF are similar triangles

[tex]\frac{AB}{EF}=\frac{AC}{EC}\\\\\frac{22.5}{13.5}=\frac{AC}{22.5}[/tex]

[tex]AC= \frac{22.5*22.5}{13.5}\\\\AC=37.5 cm[/tex]

AC = 37.5 cm

Answer:

7.006*10⁻³ = 0.007006

Step-by-step explanation:

7.006*10⁻³ = 0.007006

Answer:

Hey there!

This is false, because if the sides of one triangle are congruent to the sides of another, then the triangles are actually congruent. The Side-Side-Side similarity theorem states that if all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar.

Hope this helps :)

Answer:

(2, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ) , [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus

midpoint = [ [tex]\frac{1}{2}[/tex] (5 - 1), [tex]\frac{1}{2}[/tex] (8 - 4 ) ] = (2, 2 )

Answer:

y=2x-5

Step-by-step explanation:

First simplify: y-1=2x-6

y-1=2(x-3)

First simplify and distribute everything.

y-1=2x-6

So, x equals 2 because it got distributed into the numbers inside the parenthesis.  Same with the 2 and -3.  They multiplied to become -6.

Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.

y - 1 (+ 1) = 2x -6 (+ 1)

-1(+1)=0 which leaves just the variable y on the left side.

-6(+1)=-5 which leaves 2x-5 on the right side.

This results in y=2x-5.  Hope this helped ;)

Answer:

y = 2x - 5

Step-by-step explanation:

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y - 1 + 1 = 2x -6 + 1

y = 2x - 5

Answer:

1:3

Step-by-step explanation:

[tex]3:9\\= 1: 3[/tex]

Answer:

1   : 3

Step-by-step explanation:

pears : apples

3           9

Divide each side by 3

3/3      9/3

1   : 3

Answer:

2/5 (because the chance winning the race is 3/5 and the remaining is 3/5 when we add 3/5 , 2/5 the answere is 5/5 when we subtract 3/5 from 5/5 the answere is 2/5

Answer:

33

Step-by-step explanation:

For every 5 squares, two are red and three are green.  So 3/5 of the squares are green.

3/5x55=33

Answer:

-(x + 3)^2 = -15

Step-by-step explanation:

:) got it right