Find the interest on $4,500 at 5.2% for 2 and a half years. Which of the following equations would be used to solve this problem?
Please help!

A: 4500 = P(0.052)(2.5)

B: I = (4500)(5.2)(2.5)

C: I = (4500)(0.052)(2.5)

D: I = (4500)(0.52)(2.5)

Answer:

4/7

Step-by-step explanation:

class total = 21

chance of picking one of 12 boys out of 21.

12/21 which can be simpilfied to 4/7

Step-by-step explanation:

If we count for both numbers up to 36, we start seeing a pattern...

Candy: 6 12 18 24 30 36

Danny: 4 8 12 16 20 24 28 32 36

Every other number in Candy's counting is also counted by Danny. So here's what we'll do:

600/6 = 100

This is how many numbers Candy counted overall.

100/2 = 50

This is how many numbers Danny counted that were also numbers Candy counted.

Answer:

50 of the numbers that candy counted were also counted by Danny.

Answer:

50

Step-by-step explanation:

Answer:

She is wrong because each our, she earns 8$. 3 hours would give her $24 and another half-hour would give her 4 more dollars which would bring her to $28

Step-by-step explanation:

Answer:

it should be -4.9 so B :D

hope that helped! <3

Answer:

It is 12boys:13girls

Step-by-step explanation:

The total is 250 out of which 130 are girls. So it is 250-130 which is 120boys. Now to find the ratio it is 120:130 which in its simplest form is 12 boys:13 girls.

Answer:

her current average is 96 points

Step-by-step explanation:

20% of 80 is 16

80 + 16 =96

Answer:

\(y - 100 = \boxed{\:-\dfrac{25}{2} \:} \;\;\left(x -\boxed{\:4\:}\:\right)\)

Step-by-step explanation:

The first thing to observe is that the balance declines at a linear rate with respect to time in weeks

The given equation which you have to fill in is in the point-slope form of a straight line

The point slope equation of a straight line is
y - y1 = m(x - x1)

where (x1, y1) is a point on the line
m is the slope = (x2 - x1)/(y2 - y1) with (x1, y1) and (x2, y2) being two points on the line

To find the slope,

Let's take two points say 4, 100) and (8,50) where the first entry is the weeks and second is the current balance

Slope m = (50 - 100)/(8 - 4) = - 50/4 = -25/2

The negative value simply indicates that the balance is declining by 25/2 every two weeks

Having got the slope we can rewrite the equation as

y - y1 = -25/2(x - x1)

Again take (x1, y1) as (4, 100) to get

\(y - 100 = \boxed{-\dfrac{25}{2}} (x -\boxed{ 4})\)

And this is the answer

Answer:

angle G= 135°

angle E = 45°

angle D = 64°

angle B= 45°

angle C = 71°

Step-by-step explanation: Since ∆ABC~∆DEF

therefore angle A~angle D

angle B~angle E and angle C ~angle F

angle G = 180°- angle

i.e. 180° - 45° = 135°

reason :sum of angles on a straight line is 180°

Answer: B: 24 feet.

Step-by-step explanation:

Let's assume that the length of the rectangular patio is "L" feet. Then, the width of the patio would be 3/4 L.

The area of a rectangle is given by the formula A = L x W, where A is the area, L is the length, and W is the width. We know that the area of the patio is 432 square feet. Substituting the values of L and W, we get:

432 = L x (3/4 L)

Multiplying both sides by 4/3, we get:

(4/3) x 432 = L^2

Simplifying, we get:

576 = L^2

Taking the square root of both sides, we get:

L = ±24

Since the length cannot be negative, the length of the patio is 24 feet.

Therefore, the correct answer is option B: 24 feet.

The domain is all of the x-values a function can have. The range is all of the y-values a function can have.

#50.

Domain: [-5, 10]

---The function starts at the x-value -5 and stops at the x-value 10.

Range: [-3, 5]

---The smallest y-value is -3 and the largest y-value is 5.

#51.

Domain: [-2, infinity)

---The function starts at the x-value -2 and has an arrow to indicate that it goes on forever.

Range: [0, infinity)

---The smallest y-value is 0 and an arrow indicates that the functions goes up and on forever.

Hope this helps!

Answer:

there is no list options so we cannot answer this for you

Step-by-step explanation:

Answer:

3.75 cups of sugar

Step-by-step explanation:

if he needs 2.5 times as much sugar as 1.5 cups of sugar, he needs

2.5x1.5= 3.75 cups of sugar

Answer:

Hey There!

Let's solve....

Isolate for x first which is

\(x = \frac{3 + 3y}{4} \\ \)

\(substitute \: x = \frac{3 + 3y}{4} \\ \\ \brack \: 5 \times \frac{3 + 3y}{4} - 4y = 3 \\ \\ \)

Now simplify...

\( \brack \: \frac{15 - y}{4} = 3 \\ \\ = y = \frac{15 - 3}{4} \\ \\ = \frac{12}{4} \\ simplify \\ \\ \frac{ \cancel{12} ^{3} }{ \cancel{4}^{1} } \\ x = 3\)

Y=3

We need to find value of y first... now x

\(x = \frac{3 + 3 \times 3}{4} \\ \\ =x = \frac{3 + 9}{4} \\ \\ = x = \frac{12}{4} \\ simplify \: \frac{ \cancel{12}^{3} }{ \cancel{4} ^{1} } \\ \\ value \: of \: x = 3 \)

Answer:

x = -1.3

I hope this is right, and I am sorry if this is wrong if it is! I rlly hope this helps you out and you can understand my method and the way I typed this!!

Step-by-step explanation:

We are going to use one of my fav methods! The substitution method!

Set this aside for now: 4x - 3y = 3     We gonna use this one: 5x - 4y = 3

5x - 4y = 3

= 5x - 3 = 4y

( also, the subtraction is with the 4y as a negative, so 4y would be positive if you moved it!)

Divide all of the equation by 4!

y = \(y = \frac{5x - 3}{4}\)

Now, you take take the other equation and substitute the y with what you have above!

\(4x - 3 times \frac{5x - 3}{4} = 3\)

you cross multiply 4( the denominator) with the other side that has only a three!

4x - 3 \(times 5x - 3\) = 12

4x - 15x - 3 = 12

-11x - 3= 12

Move the three to the other side become positive!

-11x = 15

divide both sides by -11

x = -1.3

I think the answer is the product is -14.9.

Answer:

aaaaaaaaaaaaaaaa

Step-by-step explanation:

Answer:

9.57%

Step-by-step explanation:

7-6.33/7 = 0.00957

0.00957×100% = 9.57%

Answer:

Step-by-step explanation:

If you are rounding to nearest tenth

2.6  1.9

Nearest hundredth

2.6   1.87

If the number to the right of the one you want to round is 5 or above, you go up a number. If it's below, you go down 1.

Hope this helps.

Answer:

Step-by-step explanation:

Volume = l³

l = ∛A

l = ∛216

i = 6

-----------------------

check

V = l³

V = 6³

V = 216 cubic inches

Answer:

Step-by-step explanation:

Answer:

k = 4

Step-by-step explanation:

Distribute First: 2 ( k- 5)

2k - 10

So now it is:

2k - 10 + 3k = k + 6

Combine Like Terms (CLT):

2k - 10 + 3k = k + 6

5k - 10= k + 6

Inverse operation:

(K = 1k)

5k = k + 16

-k     -k

4k = 16

________

4         4

k = 4

B (4, 2) is the solution to both lines A and B.

Just count to find the coordinate points. 4 = x and 2 = y.

They both hit the coordinate points (4, 2) which means it should be B.

Side Note - You shouldn't bunch the answers in the same paragraph because it'll look like a bunch of mess. I was a bit confused when reading it for the first time.

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer: ETU

Step-by-step explanation:

When you are writing a similarity statement, you must put the letters of both triangles in the same order. In other words, you must make the first letter of the first triangle match with the first letter of the second triangle, and so on.

In this figure, \(\angle K\cong\angle E\), \(\angle L\cong\angle T\), and \(\angle KUL\cong\angle EUT\). Hence,

\(\triangle KLU \sim \triangle ETU\)

Since K is first, E is also first, as ∠K matches to ∠E. Since L is second, T is also second, as ∠L matches to angle ∠T.

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Answer:

$-108.44

Step-by-step explanation:

Hey! Let's help you out with this question!

We always want to begin with what we know. We know that Jason has $284.31 on his lunch account and that during the year he mowed 13 lawns and earned $30 for each lawn. By the end, he spent $782.75 and now we need to figure out what his balance was at the end of the year. This can be split into 2 parts:

Part 1:

Let's start by how much money he has in total. We can take the current balance in his account of $284.31 and add the amount of money he made mowing lawns. We know that he mowed 13 lawns and earned $30 for each lawn. So, we can just chalk that total to be:

\(13*30=390\)

Based on our calculation, we know that he has earned $390 in total from mowing 13 lawns for $30 each lawn. Now that we have that, let's add that earning into his current balance and that'll give us:

\(284.31+390=674.31\)

Therefore, in total Jason has $674.31. including how much he earned from mowing lawns.

Part 2:

Now, we need to figure out Jason's account balance at the end of the school year. From here, we take the new total of Jason's account balance and subtract it from how much he spent on lunches throughout the school year. So, it would look like this:

\(674.31-782.75=-108.44\)

Unfortunately, Jason has spent too much on his lunches and his account balance at the end of the school year is $-108.44

Answer:

$-108.44

Step-by-step explanation: