Mary has $65,000 to invest in two accounts. The first account is a private savings offering 6% annual interest and the second account is a government savings account offering 4% annual interest. How much money should Mary invest in each account to make $3520 in total annual interest.

Answer:

y=2

Step-by-step explanation:

that is it!!! I hope I'm correct..

Answer:

21

Step-by-step explanation:

Given

3y + 5(x - 8) ← substitute x = 11, y = 2 into the expression

= 3(2) + 5(11 - 8) ← evaluate parenthesis

= 6 + 5 × 3

= 6 + 15

= 21

Answer:

34

Step-by-step explanation:

You can solve this problem by finding the volume of the candle first. The formula for rectangular prism is multiplying all three of its dimension. In this case, you would multiply 3, 10, and 4 together to get 120 cm^3. Assuming the question meant "the company used 4080 cm^3 of wax", divide 4080 by 120 to see the number of candles the company made, which is 34.

Hi, your question appears to be unclear. However, I inferred this to be a linear programming problem.

Answer:

$500

Step-by-step explanation:

To begin we need to state the system of inequalities for this situation (constraints):

From the question, we note we are required to find the maximum revenue that the craftsman can take in. In other words, the optimization equation is [tex]5b+7.5n[/tex] = maximum revenue (taking note that a bracelet costs $5 and a necklace costs $7.50)

Next, we are to plot the inequalities on a graph to determine the feasible region: Doing so should give us these main vertices: (0,0) (0,40) (40,30 (100,0).

By substituting the vertices into the optimization equation (replacing b, and n) we can determine which quantity gives the maximum revenue:

For (0,40) ⇒ 5(0) + 7.5(0) = $0

For (0,40) ⇒ 5(0) + 7.5 (40) = $300

For (40, 30) ⇒ 5(40) + 7.5 (30) = $425

For (100, 0) ⇒ 5(100)+7.50(0) = $500

We notice that at point  (100, 0) we have a maximum revenue of $500.

Answer:

5.2seconds

Step-by-step explanation:

Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function

The modeled function is given as

h(t) = –16t^2 +64t + 100,

We can see this is a quadratic equation, we can solve using quadratic formula, Below

= -b±(√b^2 -4ac)/2a

Where

a=-16, b=64, c=100

FROM THE ATTACHMENT

We have too answers t= -1.20s and t=5.20s

Therefore,it take 5.20s for the ball to reach the ground (h=0). Because "t" cannot be negative here

CHECK THE ATTACHMENT FOR THE QUADRATIC SOLUTION

Answer: B.) both the conditional statement and its converse .

Explanation: In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.

The required solution is both the conditional statement and its converse.

It is required to choose the correct statement.

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.

Given:

In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.

Biconditional Statement Examples:

The polygon has only four sides if and only if the polygon is a quadrilateral.

Therefore, the required solution is both the conditional statement and its converse .

Learn more details about conditional statement here:

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Answer:

25 cesar 4.5 karina 12.5 sebastian

Step by step explanation:

42.

25

12.5

4.5

Step-by-step explanation:

Answer:

LCM is 36

Step-by-step explanation:

9 x 4 = 36

12 x 3 = 36

Answer:

x<3 or x>5

Step-by-step explanation:

doesn't equal when there are open dots and x must be greater than 5

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Suppose :

a = ( 5 , 1 ) and b = ( 2 , - 5 )

______________________________________

We have following equation to find the slope of the line using two points :

[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]

Now just need to put the coordinates in the above equation ;

[tex]slope = \frac{ - 5 - 1}{2 - 5} \\ [/tex]

[tex]slope = \frac{ - 6}{ - 3} \\ [/tex]

Negatives simpliflies

[tex]slope = \frac{6}{3} \\ [/tex]

[tex]slope = \frac{3 \times 2}{3} \\ [/tex]

[tex]slope = \frac{2}{1} \\ [/tex]

[tex]slope = 2[/tex]

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It would be 1 by 3

Since [4 -1 0] and [2 1 0] are both 1 by 3, the result should be the same since they match up.

also im learning the same thing right now lol

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[tex]percent \: \: of \: \: boys = \frac{42 - girls}{42} \times 100 \\ [/tex]

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Answer:

i need points

Step-by-step explanation:

The required sum of the measures of angles D and F is 260 degrees.

Let's represent the measures of angles D, E, and F as D, E, and F, respectively.

From the given information, we have the following equations:

D + E = 110 (The sum of the measures of angles D and E is 110)

E + F = 150 (The sum of the measures of angles E and F is 150)

Now, we want to find the sum of the measures of angles D and F, which is D + F.

To find D + F, we need to eliminate E from the equations. We can do this by adding equations (1) and (2):

(D + E) + (E + F) = 110 + 150

Now, the E terms cancel out:

D + F = 260

So, the sum of the measures of angles D and F is 260 degrees.

Learn more about angles here:

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Answer:

A

Step-by-step explanation:

The x-intercept is the point at which the graph crosses the x-axis, find where y=0, then find the x for that point, so it’s A.

Answer:

the options are missing, so I looked for a similar question and found these options:

the answer is: an equal number of students chosen at random from each grade level

Step-by-step explanation:

A good sample must be random and representative of all the population. In this case, the population is all the kids that go to middle school. A good sample would need to be taken at random and all the students should have equal opportunity to be chosen, and the three grades must be included in the same proportion.

Answer:

one student chosen at random from each grade level

(A)

Step-by-step explanation:

Answer: THE ANSWER IS C

Step-by-step explanation:

Answer: what do u need help in ?

Step-by-step explanation:

Answer:

A) Distance time graph

B) d(t) = 25t

C) The expression shows the distance more clearly.

Step-by-step explanation:

A) A distance time graph as seen in the attachment provides a representation of the distance travelled.

We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.

B) And expression for the distance is;

d = vt

Where;

d is distance in metres

v is speed in m/s and t is time

We are told that the car travels at a constant speed of 100 meters per 4 seconds.

Thus, v = 100/4 = 25 m/s

Distance travelled over time is;

d(t) = 25t

C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.

Answer:

f^-1(x) = (-1/5)x - 11/5

Step-by-step explanation:

f^-1(x) is the inverse so it must be

f^-1(x) = (-1/5)x - 11/5

Answer:

i do not got the full answer but i think you start from here

f(x)=-5x-11

y=-5x-11

x=-5y-11

x+11=-5y

answer is r+11

                 -5 or  (-1/5)x - 11/5

Step-by-step explanation:

brainlest

Answer:

Step-by-step explanation:

As we know that a polynomial with three terms is said to be a trinomial.

Considering the trinomial of a form

[tex]ax^2+bx+c[/tex]

As

a = 1

so

[tex]x^2+bx+c[/tex]

For example,

[tex]x^2+7x+10[/tex]

[tex]=\left(x^2+2x\right)+\left(5x+10\right)[/tex]

[tex]=x\left(x+2\right)+5\left(x+2\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x+2[/tex]

[tex]=\left(x+2\right)\left(x+5\right)[/tex]

Therefore, Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.

Answer:

Every positive number has 2 square roots, one positive and another one is negative. Square root of 49 is ±7, because you can obtain 49 by multiplying two 7's or two (-7)'s.

Step-by-step explanation:

Answer:

49 has 2 possible square roots +7 and -7

Step-by-step explanation:

49 has 2 possible square roots because 7x7=49

And -7 x -7 = 49

A negative times a negative equals a positive, so when you take the square root of 49, it is impossible to tell if 49 was the result of -7 x -7 or +7 x +7. Therefore, the square root of 49 has two possible answers.

Answer:

3.4 nearest tenth

Step-by-step explanation:

Standard Deviation, σ: 3.4399612400917

Count, N: 12

Sum, Σx: 144

Mean, μ: 12

Variance, σ2:  11.833333333333

Steps

σ2 =  Σ(xi - μ)2

N

=  

(14 - 12)2 + ... + (10 - 12)2

12

=  

142

12

=  11.833333333333

σ =  √11.833333333333

=  3.4399612400917

Hope this helps ya!

Sorry this didn't have the symbols I needed so that's why it's a little confusing.

Answer:

387.5 grams

Step-by-step explanation:

0.04 ounces = 1 grams

15.5 ounces = x grams

Cross Multiply

0.04 ounces × x grams = 15.5 ounces × 1 grams

x = 15.5 /0.04

x = 387.5 grams

The weight, in grams, of a box of Fruit Rings is 387.5 grams

Answer:the graph should look like this

Step-by-step explanation:

Answer:

Hope this helps can I get brainliest I need to rank up :))))

Step-by-step explanation:

32° ... If he is standing 15 feet from the base of the pole, about how tall is the.

Answer:

58

Step-by-step explanation:

Answer:

Thats what i got too :)

Step-by-step explanation:

You have the correct answer. It is 80.3 square yards.

Work Shown:

Area of parallelogram = length*width = 21.5*33.6 = 722.4 sq ft

1 yard = 3 ft

1 sq yd = 9 sq ft ... square both sides

To convert from square feet to square yards, we'll divide by 9

This is the same as multiplying by 1/9

722.4 sq ft = (722.4 sq ft)*(1 sq yd/9 sq ft)

722.4 sq ft = (722.4)*(1/9) sq yards

722.4 sq ft = 80.2667 sq yards

722.4 sq ft = 80.3 sq yards