Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into
the account and earns 2% interest on the new balance, compounded annually. Which recursive formula represents
the total amount of money in Victoria's account at the end of the nth year?
O 2-1.02( 29–1 +15): 2, - 215
O an - 15+1.02a-; 24 - 215
O2,- 1.02(2-1 +15); 24 - 200
an= 15+1.02an-1; - 200
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The green object below, is best defined as a Ray named AC.

In geometry, a ray is a part of a line that consists of a single initial point called the endpoint and extends infinitely in one direction. It can be thought of as a half-line, with one end point and the other end extending infinitely.

Rays are named using two points, with the endpoint being mentioned first.

Here, in the figure the green line has one point A and the next C and it is further extending.

Thus, the Green line is a Ray name as ray AC.

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Latasha needs to run 0.23 minutes more minutes to complete the mile.

What is the speed of a runner?

The speed of a runner is the ratio of the distance covered in a specific time.

Given,

Latasha ran a mile in 7.03 minutes and Erik ran a mile in 6.8 minutes.

Therefore, difference in time = (7.03 - 6.8) minutes = 0.23 minutes.

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Answer:

Step-by-step explanation:

Answer:

I believe it's C I had this on my test and I got it right

Answer:

Data set doesn't go to 17

Step-by-step explanation:

None of the numbers go to 17

Answer:

1st option. the data set doesn't GO to seventeen

Step-by-step explanation:

look at the number line. I always had trouble with this so I get where your coming from first, look at where the line is touching don't pay attention to the box yet because it's confusing the entire point of this line is to show you that there MAY have been 1 or two people who where at 0 for this data and 1 or two people who were at 15

the point here is that the bulk of the data was 11-14, but because there were less people down lower, the mean of the data is at 13, and the data is bigger (skewed) to the left.

making everything lekse true except for the first option.

If Fiona deposited $900 in the bank over 2 years. She earned $60 in

simple interest at the end of the 2 years then 3.33% is the annual

interest rate.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Fiona deposited $900 in the bank over 2 years.

She earned $60 in simple interest at the end of the 2 years.

We have to find the annual interest rate

I=PRT

60=900×2×T

60=1800T

Divide both sides by 1800

T=3.33%

Hence,  the annual interest rate is 3.33%

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Answer:

523.598776

Step-by-step explanation:

round to 524

Answer:

The diagonal length is the square root of 128 so 11.31 inches

Answer:

a) Slope is -4/3 y-intercept is 2

b) Slope is 2 y-intercept is -1

Step-by-step explanation:

y=mx+c

m=gradient (or in this case slope)

c=y-intercept

Answer:

1st:  Equal to

2nd:  Greater than

3rd:  Less than

Answer:

Step-by-step explanation:

So the second problem 325 x 1 2/3 is greater then 325

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

b/c 2x·2x-7·7

=4x²-49

Answer:

a) The volume of the box is represented by [tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex].

b) A side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.

Step-by-step explanation:

a) The volume of the box ([tex]V[/tex]), in cubic inches, is modelled by the equation for the cuboid:

[tex]V = (3-2\cdot x) \cdot (7-2\cdot x) \cdot x[/tex] (1)

Where [tex]x[/tex] is the side length of the cutted square corners, in inches.

[tex]V = (21 - 20\cdot x + 4\cdot x^{2})\cdot x[/tex]

[tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex]

The volume of the box is represented by [tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex].

b) The method consist in graphing the polynomial and looking for a relative maximum. We graph the equation found in a) by means of a graphic tool. We present the outcome in the image attached below. According to this, a side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.

Answer:

121 π

Step-by-step explanation:

A= π * r^2

r^2 = 121 * π

Answer:

this is easy. we know that he spent $19 total, 1 coffee that costed $5, and that each cookie costs $2. all you have to do is subtract 5 from 19 and divide the remaining amount of money (14) by 2. this makes 7 the amount of cookies Bill bought.

Answer:

2 kilograms of sweet potato

Step-by-step explanation:

1 kilogram = 1000 grams.

So, to find how many kilograms there are divide by 1,000

2,000 ÷ 1,000 = 2

So, there are 2 kilograms needed.

Have a great day!

Answer:

63.784

Step-by-step explanation:

(9.52)(6.7)

=63.784

wym explain just use your calculator and multiply

mrk brainliest plz

Answer:

348.4 (if that is the number of the question then 52 times 6.7)

63.78 (if 9.52 times 6.7)

Answer:

a.) Total pages Lamar have to read the first day to meet his  goal = 300

     Total pages left to read after 3 days = 75

b.) Total pages he need to read on day 8 = 4.6875

Step-by-step explanation:

The exact question is as follows :

Given - Lamar has a list of 600 pages to read to finish his book for his upcoming book report. He sets a goal to read half of the pages left in his book each day.

To find -

a)  How many pages will Lamar have to read the first day to meet his  goal?  

    How many will he have left to read after 3 days?

b)  How many pages will he need to read on day 8?

Solution -

Given that,

Total number of pages = 600

Now,

In Day 1 ,

He will finish half of the pages

So, he finished pages = [tex]\frac{1}{2} (600)[/tex] = 300

i.e.

In Day 1 , he Finished 300 pages.

So,

At the end of Day 1, total pages left = 600 - 300 = 300

so,

Total pages Lamar have to read the first day to meet his  goal = 300

Now,

For day 2 ,

Total pages = 300

He will finish half of the pages

So, he finished pages = [tex]\frac{1}{2} (300)[/tex] = 150

i.e.

In Day 2 , he Finished 150 pages.

So,

At the end of Day 2, total pages left = 300 - 150 = 150

Now,

For day 3 ,

Total pages = 150

He will finish half of the pages

So, he finished pages = [tex]\frac{1}{2} (150)[/tex] = 75

i.e.

In Day 3 , he Finished 75 pages.

So,

At the end of Day 3, total pages left = 150 - 75 = 75

So,

Total pages left to read after 3 days = 75

Now,

For day 4 ,

Total pages = 75

He will finish half of the pages

So, he finished pages = [tex]\frac{1}{2} (75)[/tex] = 37.5

i.e.

In Day 4 , he Finished 37.5 pages.

So,

At the end of Day 4, total pages left = 75 - 37.5 = 37.5

Now,

For day 5 ,

Total pages = 37.5

He will finish half of the pages

So, he finished pages = [tex]\frac{1}{2} (37.5)[/tex] = 18.75

i.e.

In Day 5 , he Finished 18.75 pages.

So,

At the end of Day 5, total pages left = 37.5 - 18.75 = 18.75

Now,

For day 6 ,

Total pages = 18.75

He will finish half of the pages

So, he finished pages = [tex]\frac{1}{2} (18.75)[/tex] = 9.375

i.e.

In Day 6 , he Finished 9.375 pages.

So,

At the end of Day 6, total pages left = 18.75 - 9.375 = 9.375

Now,

For day 7 ,

Total pages = 9.375

He will finish half of the pages

So, he finished pages = [tex]\frac{1}{2} (9.375)[/tex] = 4.6875

i.e.

In Day 7 , he Finished 4.6875 pages.

So,

At the end of Day 7, total pages left = 9.375 - 4.6875 = 4.6875

So,

At the starting of Day 8,

Total pages = 4.6875

So,

Total pages he need to read on day 8 = 4.6875

Answer: B

The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent. This means that 48° should equal (7x+13)°, because they're vertical angles. The equation should appear as 48=7x+13. Subtract 13 on both sides to get. 35=7x. Divide 7 on both sides to result with x=5.

Answer:

A. A trapezoid

Hope this helps!!

Answer:

y-axis

Step-by-step explanation:

It lies on the vertical y-axis

Answer:

from the police department -_-

Step-by-step explanation: sike they subtracted 48 from 60 they put the -48 on the wrong side

We can infer here that the inverse tangent is used to find a missing angle measure when we are given the opposite side and the adjacent side.

An inverse tangent is known to be the formula that is used to find an angle of a right-angled triangle when certain sides are given. This is true when opposite and adjacent sides are given.

Thus, to find an angle using inverse tangent, we will have: θ = tan-1[ (opposite side) / (adjacent side) ].

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Step-by-step explanation:

d=100° <------opposite angle of a parallelogram are equal

then c=96°

Answer: -58.5

Step-by-step explanation:

Answer:Sara hina and Arslan Have RS79.4,RS 72.4 and RS238.2 respectively.

Step-by-step explanation:

Step 1

Let the amount that hina has be x

the amount that sara has be represented as  7+x

and the amount that Arslan have be represented as 3(7+x)

such that the total amount in their wallet which is 390 can be expressed as

x+7+x + 3(7+x)=390

Step 2

Solving

x+7+x +21+3x=390

5x+28=390

5x==390-28

x=362/5=72.4

Hina has RS 72.4

Sara =7+x==72.4+77= RS 79.4

Arslan =3(7+x)=3 x 79.4=RS 238.2

Answer: 0.025

Step-by-step explanation:

Answer:

1 yard by 9 yards

2 yards by 8 yards

3 yards by 7 yards

4 yards by 6 yards

Step-by-step explanation:

the perimeter of the rectangular yard needs to be 20 yards

Perimeter of a rectangle = 2 x ( length + width)

20 = 2 x ( length + width)

( length + width) = 20 /2

( length + width) = 10

The sum of the length and width should equal 10

Possible dimensions that would equal 10 are :

1 yard by 9 yards

2 yards by 8 yards

3 yards by 7 yards

4 yards by 6 yards

Answer:

222 cm

Step-by-step explanation:

To find the area of the square we multiply length and height.

15x12 = 180

For the triangular part of the trapezoid we multiply height by width and divide by 2.

12x7 = 84 / 2 = 42

Add the two sums and we get 222 cm.

180 + 42 = 222