You receive an inheritance of $15,500, and you place the full amount into a bank account. The bank pays a simple interest rate of 7.5% per year. How much interest have you earned after three years? Give your answer in dollars to the nearest dollar.

Answer:

5 boxes of cookies and 5 tubs of popcorn = $75

Step-by-step explanation:

To find y divide what is sold by 4 boxes of cookies and x by 2 tubs of popcorn.

The solution is

The cost of box of cookies x = $ 5

The cost of tub of popcorn y = $ 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the cost of cookies be = x

Let the cost of popcorn be = y

And ,

On Monday, Anna made $40 selling 4 boxes of cookies and 2 tubs of popcorn

Substituting the values in the equation , we get

4x + 2y = 40   be equation (1)

And ,

On Tuesday, Anna made $35 selling 1 box of cookies and 3 tubs of popcorn

Substituting the values in the equation , we get

x + 3y = 35   be equation (2)

On simplifying both equations , we get

Multiply equation (2) by 4 , we get

4x + 12y = 140   be equation (3)

Subtracting equation (1) from equation (3) , we get

10y = 140 - 40

10y = 100

Divide by 10 on both sides of the equation , we get

y = $ 10

So , the cost of tub of popcorn is $ 10

Substituting the value of y in equation (2) , we get

x + 3y =  35

x + 30 = 35

Subtracting 30 on both sides of the equation , we get

x = $ 5

So , the cost of box of cookies is $ 5

Hence , the cost of cookies is $ 5 and cost of popcorn is $ 10

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Answer:

The answer is 80 :)

Step-by-step explanation:

Answer: There is a strong association between age and weight.

Step-by-step explanation:

The correlation coefficient (r) is used to describe the relationship between two variables.

[tex]-1\leq r\leq1[/tex]

If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.

Here,  Variables: Age and weight.

correlation coefficient = 0.512

That means, there is a strong association between age and weight.

Answer:

The value of x is approximately 13.58

Step-by-step explanation:

Answer:

20%

step-by-step way

Answer: A

Step-by-step explanation:

4.1

Answer:

0.18 ; 0.1875 ; No

Step-by-step explanation:

Let:

Person making the order = P

Other person = O

Gift wrapping = w

P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10

What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?

Using the relation :

P(W|O) = P(WnO) / P(O)

P(WnO) = P(W|O) * P(O)

P(WnO) = 0.60 * 0.3 = 0.18

b. What is the probability that a randomly selected order will be gift wrapped?

P(W) = P(W|O) * P(O) + P(W|P) * P(P)

P(W) = (0.60 * 0.3) + (0.1 * 0.7)

P(W) = 0.18 + 0.07

P(W) = 0.1875

c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically

No.

For independent events the occurrence of A does not impact the occurrence if the other.

Answer:

12

Step-by-step explanation:

2-cones

3-ice cream flavors

2-sprinkles

2 x 3 x 2 = 12

plz mark brainliest :)

Answer:

120

Step-by-step explanation:

180-35-25=120

or

35+25=60

180-60=120

Answer:

BC = 200/7 ≈ 28.57

Step-by-step explanation:

Set up a proportion to solve for the missing side length.

BC/CD = FE/EG

BC/25 = 16/14

BC = 16/14 · 25

BC = 200/7 ≈ 28.57

Answer: It is C

Step-by-step explanation:

Good luck on your test or homework

Answer:

x=2 and y=0.

Step-by-step explanation:

Answer:

[tex]x=-1,\\y=-1[/tex]

Step-by-step explanation:

We can write the following system of equations as given:

[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].

Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:

[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].

Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:

[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].

Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]

Answer:

2000 times

Step-by-step explanation:

Given

Sara:

[tex]Mercury = 3.302 * 10^{23[/tex]

[tex]Saturn = 5.685 * 10^{26[/tex]

Sam:

[tex]Mercury = 3.302 * 10^{29[/tex]

[tex]Saturn = 5.685 * 10^{32[/tex]

To determine the number of times, the mass of Saturn is greater than the mass of Mercury, we simply do the following:

[tex]Times = \frac{Saturn}{Mercury}[/tex]

Using Sara's measurement; this gives:

[tex]Times = \frac{5.685 * 10^{26}}{3.302 * 10^{23}}[/tex]

Apply law of indices

[tex]Times = \frac{5.685 * 10^{26-23}}{3.302}[/tex]

[tex]Times = \frac{5.685 * 10^3}{3.302}[/tex]

[tex]Times = 5.685/3.302 * 10^3[/tex]

[tex]Times = 1.72 * 10^3[/tex]

Approximate

[tex]Times = 2 * 10^3[/tex]

[tex]Times = 2000[/tex]

Answer:

the awnser is b hope this helps

Step-by-step explanation:

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

The given function is x/16 + y/320 - 29 = 0.

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

Now, the LCM of denominators 16 and 320 is 320.

So, 20x/320 + y/320 - 9,280/320 = 0

⇒20x+y-9280=0

⇒y=9280-20x

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

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Answer:

h

Step-by-step explanation:

Answer:

never

Step-by-step explanation:

:))

Answer:

i think answer is never

Step-by-step explanation:

never

Answer:

QS is 12.1

Step-by-step explanation:

9 / sin 48 = QS / sin 90

QS = 9 / sin 48 = 12.1

Answer:

Area =  201  1/4 yard^2

Or in decimal form: 201.25 yard^2

Step-by-step explanation:

First convert the mixed numbers into improper fractions or even decimal form  so it is easier to operate with them:

Base = 11  1/2 yards = 23/2 yards = 11.5 yards

Height = 17 1/2 yards =  35/2 yards = 17.5 yards

Use the formula for the area of a parallelogram:

Area = Base x Height

which in our case give:

Area = 23/2 x 35/2 = 805/4 yard^2 = 201  1/4 yard^2

Or in decimal form: 201.25 yard^2

Answer:

Step-by-step explanation:

a square is a special rectangle and a parallelogram , and a rhombus

Answer: B

Step-by-step explanation:

Answer:

probably 300

Step-by-step explanation:

I have no idea I'm in 6 grade sorry

Answer:

0

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

Answer:

[tex]a.\: \frac{1}{12}[/tex]

Step-by-step explanation:

The probability he will roll an odd number on the first roll is [tex]\frac{1}{2}[/tex] as there are three odd numbers and three even numbers on a fair six-sided dice.

The probability he will roll the number 4 on the second roll is [tex]\frac{1}{6}[/tex] as out of the six numbers, only one is the number 4.

Therefore the probability of both happening is [tex]\frac{1}{2}\cdot \frac{1}{6}=\fbox{$a.\: \frac{1}{12}$}[/tex].

Answer:

A

Step-by-step explanation:

- 8 × - 3 = 24 ÷4=6

this is the right answer

Answer:For the first one it would be x=35

And the 2nd one would just be x=-1

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

50% is basically half so divide 98 by 2

Answer:

80 gallons and a leaking problem.

Step-by-step explanation:

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Answer:

3/4

Step-by-step explanation:

any thing in the form of y=mx+x,

mx is the slope

Answer:

Step-by-step explanation:

let the number is x

3x+4=-8

3x=-8-4

3x=-12

x=-4