aitlyn has $2500 in a saving account.
She collects 3% annual simple interest.
How many years will it take to collect
$150 in interest?

[tex] \frac{3z}{2} - 5 = 28 \\ [/tex]

[tex] \frac{2}{3} . \frac{3z}{2} = 33. \frac{2}{3} \\ [/tex]

[tex]z = 22[/tex]

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-6 - (-4)]^2 + [8 - (-1)]^2}\implies d=\sqrt{(-6+4)^2+(8+1)^2} \\\\\\ d=\sqrt{(-2)^2 + 9^2}\implies d=\sqrt{85}[/tex]

Answer: 82:18 or 4.55:1

Expl:

The ratio of something describes how many x per y.

Here, we have 82 Board Games sold VS 18 Card Games.

The exact Ratio of BG to CG is 82:18 and when simplified you may find 4.55:1, by dividing 82/18, and checking with 4.55x18=82.

Hope this Helped!

Answer:Click on the file below

Step-by-step explanation:

Answer:

[B] 12°

Step-by-step explanation:

Given:

Triangle ABC is a right triangle, and m∠ C is 78°.

Solution:

Knowing that Triangle = 180 degree

Square in a right angle = 90° angle.

Thus,

78+90 =168

180-168 is 12

Hence, the answer is [B] 12 degree

Kavinsky

Answer:

the answer is

Step-by-step explanation:

B

Answer:

Answer:

what do u need help in?

The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the water balloon after t minutes, hence:

h(t) = -16t² + vt + h₀

Where h₀ is the initial height = 12 feet and v is the initial velocity, hence:

h(t) = -16t² + vt + 12

The height of 37 feet after 1.25 seconds, hence:

37 = -16(1.25)² + v(1.25) + 12

v = 40 m/s

h(t) = -16t² + 40t + 12

After 2 seconds:

h(t) = -16(2)² + 40(2) + 12

h(2) = 28 feet

The height of the balloon at 2 seconds is 28 feet

Find out more on equation at: https://brainly.com/question/1214333

a line through the origin with a slope of -2 (for every 1 unit to the right, move 2 units down)

when plotting, plug in values for x, i would recommend starting with 0, 1, and -1, then find y for each of these x values, then connect the points

The expression [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is an illustration of an algebraic expression

The simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4

The expression is given as:

[tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex]

Rewrite the expressions as exponents

x^1/6 * y^3/4

Multiply the expresions

x^1/6y^3/4

Hence, the simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4

Read more about expressions at:

https://brainly.com/question/723406

Answer:

Step-by-step explanation:

edge

Answer:

angles 4 and 2 are congruent

Step-by-step explanation:

the same

3827

hope it helps...!!!

Answer:

2 hours and 37 mins

Step-by-step explanation:

you want to get to a full hour so 5:45 closes hour would be 15 minutes later which would be 6:00 and then you add 2 hours which would be 8:00 and you have 22 minutes to get 822 p.m. so you add the minutes together 15 + 22 which you'll get 37 and you'll have the 2 hours on the side so it would be 2 hours and 37 minutes

Answer:

6 yard

Step-by-step explanation:

Since, it given that:

Carlos ran 3 1/2 miles on Saturday and 2 1/2 miles on Sunday.

And asking for how many yards carlos run in all

in all = add

3 1/2 + 2 1/2

Add the whole number

3 + 2 = 5

Since they have the same denominator we can just add them

1/2 + 1/2 = 1 whole

Since it a whole we can add to the whole number

5 + 1 = 6

Thus, Carlos run  6 yards.

Lenvy

Answer:

6 yards

Step-by-step explanation:

To Find:

How many yards did Carlos run in all?

Solution:

In all means addition in this question

Thus,

3 1/2 and 2 1/2

3 1/2 + 2 1/2

we can turn them into improper fraction and then find the answer
3 1/2 = 7/2 and 2 1/2 = 5/2

7/2 + 5/2 = 12/2

12/2 = 6

Hence, Carlos run 6 yards in all

[RevyBreeze]

Answer:

[tex]48x^{13}\ ft^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

To find the area of the rectangle we just need to do Length * Width which will give us the area in square feet (it really depends on the units that they are giving the L and W in).

[tex](8x^6) * (6x^7)[/tex]

[tex]((8*6)(x^6*x^7))[/tex]

[tex](48*x^{6+7})[/tex]

[tex]48x^{13}[/tex]

Answer:  [tex]48x^{13}\ ft^2[/tex]

Answer:

34,050 grams

Step-by-step explanation:

To convert pounds to grams, you must multiply the mass (75) by 454.

454 * 75 = 34,050

34,050 grams is equal to 75 pounds.

Hope this helps:)

Answer:

nancy: $800, beverly: $1200, todd: $1600

Step-by-step explanation:

finding the portion of one part of the ratio:

3600 ÷ 9 = 400 (9 came from 2 + 3 + 4 in the ratio)

Nancy: 2 x 400 = $800

Beverly: 3 x 400 = $1200

Todd: 4 x 400 = $1600

checking the answer:

1600 + 1200 + 800 = 3600

Answer:

-2

Step-by-step explanation:

(-3x/2) - 3 = 3

add 3 to both sides

(-3x/2) = 3

multiply both sides by 2

-3x = 6

divide both sides by -3

x= -2

Answer:

4028054 is the last number when we operate it....

Answer:

a.

Step-by-step explanation:

Probability that is a AB type blood given is a Male

P(AB/M)  = 42/500 = 21/250

Probability that they are Male with an AB type blood out of all AB type blood people = Probability that is a Male out of all students

P(M∩AB) = P(M)  

 (42/105) = (500/1,250)

            .4 = .4 ✅

The events "the student is male" and "the student has blood type AB" are independent events.

Answer:

Please see explanation

Step-by-step explanation:

base= -3

the exponent is 5

in expanded form -3×-3×-3×-3×-3

evaluation = -3×-3×-3×-3×-3= -243

Answer:

Yes

Step-by-step explanation:

Answer: 120 cm²

Step-by-step explanation:

Let's start by finding the area of one triangle

The formula for finding the area of a triangle is [tex]A=\frac{hb}{2}[/tex]

Where

A is the area

h is the height (5 for this)

and b is the base (4 for this)

Let's sub in our values and solve.

[tex]A=\frac{(5)(4)}{2}\\A=\frac{20}{2}\\A=10[/tex]

Since there are 12 triangles in the shape we must multiply our area for one triangle by 12 to find the total area of the shape

12×10=120

Answer:

1

Step-by-step explanation:

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

=1

Hey!

Heres how i got the answer

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

Hope this helps!

Answer: A

Step-by-step explanation: You're Welcome

Answer:

dependent

Step-by-step explanation:

the probability of drawing the blue marble was changed when you drew the red marble and did not put it back

Step-by-step explanation:

-1 and 8 Below we prove the -1 and 8 multiple to -8 and add up to this -1 × 8= -8

Answer:

2 gallons

Step-by-step explanation:

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