Monica deposits ​$300 into a savings account that pays a simple interest rate of ​%3.3. Paul deposits ​$400 into a savings account that pays a simple interest rate of ​%2.8. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she​ correct? Justify your response.

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Work Shown:

sin(angle) = opposite/hypotenuse

sin(6) = a/5440

5440*sin(6) = a

a = 5440*sin(6)

a = 568.634840176034

a = 569 feet, which shows why choice B is the answer.

This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5

side note: 569 feet is roughly equal to 0.1078 miles.

The driver's increase in altitude is 569 feet.

Given that,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

We have to determine,

The driver's increase in altitude?

According to the question,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

The inclination is determined by using the sin angle.

Therefore,

The driver's increase in altitude is,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.

Substitute all the values in the formula,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]

Hence, The driver's increase in altitude is 569 feet.

For more details refer to the link given below.

https://brainly.com/question/11280532

Answer:

I think it would be 17 because 34 ÷ 2 = 17

Answer:

11.1

Step-by-step explanation:

x=4

2x+3.1

You need to plug in the 4 into the x in the equation above

2(4)+3.1

8+3.1=11.1

Answer:

11.1

Step-by-step explanation:

here's your solution

=> the value of x = 4

=> the given expression is = (2x + 3.1)

=> putting the value of x in expression

=> 2*4 + 3.1

=> 8 + 3.1

=> 11.1

hope it helps

Answer:

A. Similar; congruent angles

Step-by-step explanation:

Answer:

The first statement is true because they have congruent angles.

The side length does not matter here because it's useless unless you're trying to find the perimiter of a triangle, which has a completely different algorithm. It is called the Pythagorem Theorum. I just learned the Pythagorem Theorum last class, and it isn't too difficult once you get the hang of it. Wow I went off course. Anyways I hope this helps!

Step-by-step explanation:

Answer: It's a B answer.

Show your work here:

In an ordered pair the first coordinate is x the coordinate, and the second coordinate corresponds to the y coordinate.

Then we must substitute the given value of x in the equation and verify that we get in return the defined value for y.

the options are (-2,4)

in this one x=-2, and y=4, so let's confirm:

y=-3x-4

y=-3(-2)-4

y=-6-4

y=2

this is not a solution since the y values are not the same.

in this one x=-3 and y=5, let's also confirm:

y=-3(-3)-4

y=9-4

y=5

in this one the values for y are equal, this is a solution for the equation.

so give me a brainlest!

Answer:

I'm pretty sure the answer is 64

Step-by-step explanation:

I'm assuming the triangles are transformations of each other, and looking at the side lengths, angles S and P should be congruent, which means they're both 70. Same thing for angles U and R, which are both 46.

46+70=116.

The unknown angles are Q and T, which are congruent. The angles in triangles always add up to 180 degrees, so this means that 180-116=64. Both angles T and Q are 64 degrees.

Q=64

Answer:

a . 50

Step-by-step explanation:

L + 40 + 90 = 180

L + 130 = 180

L = 180 - 130

L=50

Answer:

A = 750

Step-by-step explanation:

Start with what we know:

A = LW

L = 50

W = 15

Then we fill in the values we know into the equation to get our answer.

A = L, or 50, times W, or 15.

Our new equation is A = 50 × 15

And we solve to find our answer

A = 50 × 15 or A = 750

Answer:

3/10,3/8,27%,0.34

Step-by-step explanation:

Answer:

27%, 3/10, 0.34, 3/8

Step-by-step explanation:

I just made them all decimals (same as percent)

3/10=0.30

3/8= 0.375

hope this helps pls mark brainleist

Given:

The expression is

[tex](-8)^3\cdot (-8)^4[/tex]

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

[tex](-8)^3\cdot (-8)^4[/tex]

The repeated multiplication form of this expression is

[tex]=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)][/tex]

[tex]=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex]

Clearly, (-8) is multiplied seven times by itself. So,

[tex]=(-8)^7[/tex]

Therefore, the repeated multiplication form of the given expression is [tex](-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex] and the expression as single power is [tex](-8)^7[/tex].

Answer:

-9x - 10

Step-by-step explanation:

Answer:

x=9/2

Step-by-step explanation:

So in this equation we have to solve using PEMDAS, or parentheses, exponents, multiplication, division, addition, then subtraction, going from left to right. So first, i deal with whats in the parentheses, but since it cannot be subtracted, I next go on to the next step. Since there are no exponents, our next step is to multiply or distribute 2 into (-3-6x). In other words, i multiply 2 by -3 and 2 by -6x. This is going to be -6 -12x. After that, i add and subtract common factors, so 3x-12x is -9x, and -4-6 is -10. This leaves us with -9x-10=0. I  add 10 to each side according to addition property of equality. Thus, the equation is -9x=-10. Divide both sides by -9, by the division property of equality, and u get 10/9. If you want a decimal answer, type it into a calculator.

Answer:

tenths place

Step-by-step explanation:

The 6 is in the tenths place, according to this chart.

Answer:

x=6

Step-by-step explanation:

Answer:

Bdksfdmwfdbdvenwksgzbb2i38ryened

Answer:

18

Step-by-step explanation:

properties of a triangle: all the angles add up to 180 degrees

so

180 - 90 - 72 = 18

answer is 18 degrees

Answer:

B

Step-by-step explanation:

Answer:Only 1 term because the others are coefficients because they have a variable by them.

Answer:

[tex]y = \frac{-3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{y}{2} + \frac{1}{4} = \frac{y}{6}[/tex]

Lets take all the variable terms in L.H.S & all the constant terms in R.H.S.

(While taking a term from one side to another side , it's sign changes )

⇒ [tex]\frac{y}{2} - \frac{y}{6} = -\frac{1}{4}[/tex]

Now in L.H.S. , lets solve the fractions and reduce its numerator and denominator .

⇒  [tex]\frac{3y - y}{6} = -\frac{1}{4}[/tex]

⇒  [tex]\frac{2y}{6} = -\frac{1}{4}[/tex]

⇒  [tex]\frac{y}{3} = -\frac{1}{4}[/tex]

Lets multiplying 3 on both the sides .

⇒  [tex]\frac{y}{3} \times 3 = -\frac{1}{4} \times 3[/tex]

⇒  [tex]y = \frac{-3}{4}[/tex]

Answer:

48 cents

Step-by-step explanation:

divsion sorry im not a math lord

Answer:

t=6d / ?=42

Step-by-step explanation:

the answer is the first option!

Answer:

B

Step-by-step explanation:

Answer:

Angles opposite one another that share a vertex are called vertical angles.

When one of these angles undergo a rigid transformation so that it fits exactly over the other, we know that the two angles are congruent

When two parallel lines are crossed by another line called the transversal the angles created inside the parallel lines but on opposite sides of the crossing lines are called alternate interior angles. Angles of this type have the same measurement as one another. Two figures are similar if one can fit exactly over the other after rigid transformations and dilations

Step-by-step explanation:

Vertically opposite angles are always equal (congruent)

The transversal line is the line that crosses two or more parallel lines

Alternate interior angles formed by two parallel lines crossed by a common transversal, are congruent

Two plane geometric figures are similar if they their corresponding interior angles are congruent

Answer:

y=3 x=8

Step-by-step explanation:

I THINK BUT HOPE THIS MAYBE HELPS :)

Answer:

x=2 or x=5

Step-by-step explanation:

Answer:

the answer is 66°

Step-by-step explanation:

As it is given that triangle ABC is similar to triangle DEF so

< A = < D ( being corresponding angles of similar triangles)

3x + 18° = 4x + 2°

4x - 3x = 18° - 2°

x = 16°

So now

< A = 3 * 16° + 18° = 66°

Answer:

The third option

Step-by-step explanation:

Answer:

The answer is A. x= -13

Step-by-step explanation:

The way that you solve it is change the positive 3 to negative and adding the negative 3 to negative 10.

Answer:

x = 3.33

y = -2

Step-by-step explanation:

x(4) + 7 = 20

4x +7-7 = 20-7

4x = 13

x = 3.33

(y+7)(4) = 20

y+7 = 20/4

y+7 = 5

y = -2