Help me out thanks u !!!

Based on the amount deposited by Nancy into the account and the interest it paid, the ending balance after 1 year is $1,220.40

The ending balance of the amount that Nancy deposited which was $1,200 is based on the interest compounded on the amount over the investment year.

The ending balance can be found as:
= Amount deposited x ( 1 + rate) ^ number of years

Solving for the ending balance gives:
= 1,200 x (1 + 1.7%) ^ 1

= 1,200 x 1.017

= $1,220.40

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Answer:

(1, -6)

Step-by-step explanation:

the layout of your question is kind of confusing, but i'm guessing this is the system of equations

x = -y - 5

-3x + 7y = -45

plug in x to the second equation

-3(-y - 5) + 7y = -45

distribute

3y + 15 + 7y = -45

combine like terms

10y = - 60

divide by 10

y = -6

plug y into first equation

x = -(-6) - 5

x = 6 - 5

x = 1

Recursive Sequences

A recursive sequence is defined by performing operations on one or more previous terms.

We have the sequence:

-5 , 3 , -2 , 1 , -1 , 0

We can observe each term is the sum of the two previous terms:

-5 + 3 = -2

3 - 2 = 1

-2 + 1 = -1

1 - 1 = 0

Next term is the sum of -1 + 0 = -1

Next terms are:

-1 , -1, -2, -3, -5,...

Answer:

60

step-by-step explanation:

Answer: 60

Step-by-step explanation: Basically just multiply the whole number by 2 :)

Whenever you see something times 0.5, just know that its going to be that number times 2 (like another half of that number if you understand)

Why? Because 0.5 is basically like a one half (1/2) and you flip the stuff. since 0.5 is a half, here's a tip. Whenever you're dividing with decimals, use the formula KCF (keep, change, flip) (what my teacher taught me before)          

Here's a drawing to better explain:

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

2700 bc in everminutes he would run 920

Answer:

6

Step-by-step explanation:

Answer:

CD

Step-by-step explanation:

The graph is increasing ( going up from left to right ) in the interval AC,  then levels off , horizontal, that is constant in the interval CD, then decreasing ( going down from left to right ) in the interval DE

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Answer:-39

Step-by-step explanation:

The first thing is to open the bracket.

By doing that, the question becomes -37-2.

note that plus×minus=minus.

Hence,-39 as the final answer

An equation of line with slope m = 5 and which goes through the point (8, -9) is y = 5x - 49

In this question, we have been given a slope of the line and a point (8, -9)

We need to find an equation of the line with slope m = 5 and which goes through the point (8, -9)

Let (x1, y1) = (8, -9)

Using the slope-point form of the line,

y - y1 = m(x - x1)

y - (-9) = 5(x - 8)

y + 9= 5x - 40

y = 5x - 40 - 9

y = 5x - 49

Therefore, an equation of line with slope m = 5 and which goes through the point (8, -9) is y = 5x - 49

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a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.

In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.

Counting these numbers, we find that there are 17 students who obtained more than 45 marks.

b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.

In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.

Counting these numbers, we find that there are 15 students who obtained less than 45 marks.

c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.

In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.

Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.

d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.

Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45

           = 1912

Total number of students = 40

Average marks = Total marks / Total number of students

                 = 1912 / 40

                 = 47.8

Therefore, the average marks obtained by the students in the class is 47.8.

e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.

In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,

49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.

Counting these numbers, we find that there are 40 students who obtained more than the average marks.

Answer:

x = 20  

Step-by-step explanation:

x - 8 = 12                          Add 8 to both sides

x -8 + 8 = 12 + 8               Add -8 and 8; add 12 and 8

x = 20                      

Answer: x=20

Step-by-step explanation: Just do 12 + 8, addition is the opposite of subtraction so if you need to find the answer just do it backwards, 12 + 8 = 20. Hope this helps

Answer: x < -6

Step-by-step explanation:

Answer:

Step-by-step explanation:

SOH - CAH - TOA

Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

\(tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84\)

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.

\(sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32\)

Answer:

Step-by-step explanation:

Purchase price (A) : $12,500

Down Payment (B): $3,000

Loan Taken (C = A - B):  $9500

D :  Interest calculation for $9,500 for 3 years P(1 + rt)

= 9500(1 + (14.5/100) * 3)

= 9500(1 + 0.145 * 3)

= 9500 * 1.435

= $13632.5

E : Interest calculation for $9,500 for 2 years P(1 + rt)

= 9500(1 + (14.5/100) * 2)

= 9500(1 + 0.145 * 2)

= 9500 * 1.29

= $12,255

Difference between D - E

= $13632.5 - $12,255

= $1377.5

Hence the answer is B i.e. $1377.5 less interest for same amount of load for 2 years vs 3 years

Answer:

-5

Step-by-step explanation:

Answer:

11. B 12. C 13. B

Step-by-step explanation:

11. Since segment MR bisects segment QO, side QP and side PO are equal. In the problem it states that angle MQP is congruent to angle ROP. The the angles QPM and OPR are vertical, so they are equal. That is enough evidence to conclude the answer.

12. ADC is bisected by BD, so that bisects AC too, which makes both sides equal. BD is perpendicular to AC, making right angles on both sides. The curves at angle A and angle C show that they are congruent. That should be enough evidence to show that it is congruent by ASA.

13. Triangle cannot be congruent by having the same angles, only similar since the lengths can be different. Congruent triangle means that the sides and angles are the same.

Good luck...hope this helped ;)

Answer:

we need an image in order to answer the question

Answer:

B

Step-by-step explanation:

I wonder (2,infinity)

The translation rule for the function is solved

Given data ,

Let the function be represented as J ( x )

where J ( x ) = f ( x + 1 ) + 17

Now , the parent function is given by f ( x )

And , the translation rule for the function J(x) = f(x+1) + 17 represents a translation of the function f(x) by 1 unit to the left and a vertical shift of 17 units upward

Hence , the translation is 1 unit to the left and a vertical shift of 17 units upward

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Answer:

4

Step-by-step explanation:

the factors are 1,2,4

Note that the parameters of the graph a and graph b are given below.

Graph A - y=2(x-1)²

See graph attached.

Graph B - y = 1/2x² + 3

Vertex: The vertex of the function is (0, 3).

Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.

Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).

Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.

Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.

0 = 1/2 x² + 3

Subtracting 3 from both sides, we get:

-3 = 1/2 x²

Multiplying both sides by -2, we get:

6 = -x²

Taking the square root of both sides, we get:

x = ±√(-6)

Since the square root of a negative number is not a real number, the function has no real roots.

Minimum or maximum value: The minimum value of the function is 3.

Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.

Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.

Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.

See graph attached.


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Answer:

\(\qquad\quad {:}\leadsto\sf 208+10x=36x \)

\(\qquad\quad {:}\leadsto\sf 208=36x-10x \)

\(\qquad\quad {:}\leadsto\sf 26x=208\)

\(\qquad\quad {:}\leadsto\sf x={\dfrac{208}{26}}\)

\(\qquad\quad {:}\leadsto\sf x=6 \)

Answer:

6

Step-by-step explanation:

i think

In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

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Step-by-step explanation:

\( \frac{2}{3} \div \frac{5}{6} \\ {doing \: reciprocal \:} \\ \frac{2}{3} \times \frac{6}{5} \\ \frac{4}{5} \)

Hope it will help :)

Answer:

4/5

Step-by-step explanation:

2/3÷5/6

2/3×6/5

2×6/3×5

12/3×5

12/15

4/5

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Answer:

83, 97, 111 i think that is what you are asking

Answer:

83, 97,111

Step-by-step explanation:

Answer: 60 ounces of flour

Step-by-step explanation:

8•7.5=60

The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

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