Jordan is starting to save $150 to buy a new cell phone. In December, he saved $5. In January, he plans twice as much as he did in December, for a total savings of $15 ($5 + $10). If Jordan continues to save twice as much he saved from the previous month, in which month will his total savings will be enough to buy the phone.

Answers

Answer 1

9514 1404 393

Answer:

  April

Step-by-step explanation:

The sequence of amounts saved is a geometric sequence. The sum of those amounts is given by the formula ...

  Sn = a1·(r^n -1)/(r -1)

where a1 is the amount saved in month 1, r is the common ratio, and n is the number of months. We want to find n such that ...

  150 ≤ 5(2^n -1)/(2 -1)

  30 ≤ 2^n -1

  31 ≤ 2^n

We can solve this using logarithms, or we can make use of our knowledge of powers of 2: 2^5 = 32. That is, n = 5 will be the first month when Jordan's total savings exceeds $150.

The fifth month will be April. Jordan's total savings will be enough in April.

__

The attached shows a spreadsheet that computes Jordan's amount of savings each month, and his running total. Once the formulas are written, they can be copied down as far as required to see where the total savings is enough.

Jordan Is Starting To Save $150 To Buy A New Cell Phone. In December, He Saved $5. In January, He Plans

Related Questions

Find the selling price of a suit if a store
paid $140 for it, and it was marked up 80%
over the cost.

Answers

I think you multiply 140 and 80% and then add thst to the 140

Answer:

$252

Step-by-step explanation:

The store paid $140 for the suit. Let's first find the 80% of $140.

$140 x 80% = $112

So now we just need to add $112 to $140.

$140 + $112 = $252

n/15=21/35 Solve for the missing value in the proportion.

Answers

Answer:

n=9

Step-by-step explanation:

21/35 has a gcf of 7. so reduce to 3/5

move 3/5 to the left side to get

n/15=-3/5=0

solve as a linear equation.

n/15=-3/5=0 is equivalent to .67*n-0.6=0

which is equal to n=-9

What is the slope of the line that passes through (3, 14) and (7, 9)?

Answers

Answer:

[tex]m=\frac{-5}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 14)

Point (7, 9)

Step 2: Find slope m

Substitute [Slope Formula]:                    [tex]m=\frac{9-14}{7-3}[/tex]Subtract:                                                   [tex]m=\frac{-5}{4}[/tex]
m = -5/4 im pretty sure

HELP BEING TIMEDD


Enter the formula to find the surface area of a prism involving area of the Base and Perimeter of the base

Answers

Answer:

p=3+4+5=12

Step-by-step explanation:

Answer:

96  inches2 or 352  cm2

Step-by-step explanation:

-Okay so, we know that The lateral surface area of a prism is the sum of the areas of its lateral faces. And The total surface area of a prism is the sum of the areas of its lateral faces and its two bases. Then Usually, if "right" or "oblique" is not mentioned, you can assume the prism is a right prism. The general formula for the lateral surface area of a right prism is  L.S.A.=ph  where p represents the perimeter of the base and h represents the height of the prism.

determine the slope of a line that contains the points (6,7) and (5,1)​

Answers

Answer:

A) 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (6, 7)

Point (5, 1)

Step 2: Find slope m

Substitute:                  [tex]m=\frac{1-7}{5-6}[/tex]Subtract:                     [tex]m=\frac{-6}{-1}[/tex]Divide:                        [tex]m=6[/tex]
Here is the answer to ur question for determining the slope. Hope this helps!

Help with math question

Answers

Answer:

I believe because everything adds to 180

Maria jogged 3 miles in 3/5 hour. How many miles does Maria jog??

Answers

Answer:

5 miles

Step-by-step explanation:

YW

Determine whether each table had the same rate change shown in the graph .
Select Yes or No for each table.

Answers

Answer:

yes no yes yes mark brainiest please

Step-by-step explanation:

the width of a rectangle measures (8c-5)(8c−5) centimeters, and its length measures (2c 10)(2c 10) centimeters. which expression represents the perimeter, in centimeters, of the rectangle?

Answers

The expression that represents the perimeter of the rectangle is [tex]$\boxed{20c + 10}$[/tex] centimeters.

We are given that;

Width= (8c-5)(8c−5) centimeters

Length= (2c 10)(2c 10) centimeters

Now,

The perimeter of a rectangle is given by the formula:

P = 2l + 2w

where l is the length and w is the width.

[tex]$w = (8c-5)\ cm$[/tex]

and

[tex]$l = (2c+10)\ cm$[/tex]

Substituting these values into the formula for the perimeter, we get:

[tex]$P = 2l + 2w = 2(2c+10) + 2(8c-5) = 4c + 20 + 16c - 10 = \boxed{20c + 10}\ cm$[/tex]

Therefore, by rectangle the answer will be [tex]$\boxed{20c + 10}$[/tex].

Learn more about rectangles here;

https://brainly.com/question/15019502

#SPJ12

What is the simple formula for the nth term of the following arithmetic
sequence?
10, 14, 18, 22, 26, ...
OA. 4n+2
OB. 4n+8
OC. 4n+ 6
OD. 4n + 10

Answers

Answer:

4n + 10

Step-by-step explanation:

pls help :( i’ll give brainliest

Answers

Answer:

x=12; Converse of conrresponding angles postulate

Step-by-step explanation:

On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:

8x-17=5x+19

Solve

X=12

The converse used was the Converse of Corresponding Angles Postulate

16 and what other number is the geometric mean of 32

Answers

Answer:

16 and 64

Step-by-step explanation:

The geometric mean n of two numbers a and b can be given as;

√ab = n

In this question;

a = 16

b = ?

n = 32

So we have

16 * b = 32^2

b = 32^2/16

b = (32 * 32)/16

b = 2 * 32

b = 64

the coordinates of 3 points are a(-1, -6), b(3, -12) and c(k, 6). Find the value of k if a, b and c are collinear.

Plz answer quickly and step by step.

Answers

Answer:

The value of [tex]k[/tex] is -9.

Step-by-step explanation:

If [tex]A(x,y) = (-1,-6)[/tex], [tex]B(x,y) =(3, -12)[/tex] and [tex]C(x,y) = (k,6)[/tex], then [tex]\overrightarrow{BC} = \alpha\cdot \overrightarrow{BA}[/tex]. By vectors sum, we find each vector below:

[tex]\overrightarrow{BA} = A(x,y)-B(x,y)[/tex] (1)

[tex]\overrightarrow{BA} = (-1,-6)-(3,-12)[/tex]

[tex]\overrightarrow{BA} = (-4, 6)[/tex]

[tex]\overrightarrow{BC} = C(x,y)-B(x,y)[/tex] (2)

[tex]\overrightarrow{BC} = (k,6)-(3,-12)[/tex]

[tex]\overrightarrow{BC} = (k-3, 18)[/tex]

By substituting in the equation defined at the begining of this answer:

[tex](k-3, 18) =\alpha\cdot (-4, 6)[/tex]

[tex](k-3, 18) = (-4\cdot \alpha, 6\cdot \alpha)[/tex] (3)

The value of [tex]\alpha[/tex] is:

[tex]6\cdot \alpha = 18[/tex] (3a)

[tex]\alpha = 3[/tex]

If we know that [tex]\alpha = 3[/tex], then the value of [tex]k[/tex] is:

[tex]k-3 = -4\cdot \alpha[/tex]

[tex]k = 3-4\cdot \alpha[/tex]

[tex]k = 3-4\cdot (3)[/tex]

[tex]k = 3-12[/tex]

[tex]k = -9[/tex]

Then, the value of [tex]k[/tex] is -9.

A consistent and dependent system of linear equations has how many solutions?​

Answers

Answer/Step-by-step explanation:

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

Can someone tell me the answer to this?

Answers

Answer:

c is the answer i hope this helps

$14.45=1.
8.) Your mother has a $1200 budget to buy you and your brother
Christmas presents. The average cost of a present for you is $30. Your
mother decides to spend $870 on your brother's Christmas presents.
How many presents will she be able to buy you?

Answers

$1200 - $870 = $330 left to spend on you

330/30 = 11 presents for you.

Answer:the answer is 330 with that makes 11 presents

Step-by-step explanation:

because she spent 1200-870 on your brother subtract the 1200-870 it makes 330 so you can subtract 330-30 each will give 11 presents

y=-0.72x + 7.7
Find y when x = 3.5.

Answers

Answer:

y = 5.18

Step-by-step explanation:

replace x in the equation with 3.5

y = -0.72x + 7.7

y = -0.72(3.5) + 7.7

y = -2.52 + 7.7

y = 5.18

Answer:

5.18

Step-by-step explanation:

The number positioned at point E is...

Answers

Answer:4 and a half

Step-by-step explanation:

4 and a half

answer : 4 1/2

explanation - 4 and a half

Does anyone know the answer?

Answers

Answer:

cos57° = x/51

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] sin∅ = opposite over hypotenuse [Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to solve for the missing side length.

Step 2: Set up ratios

We can choose between the 2 angles and have multiple ratios to solve for x.

sin33° = x/51

cos57° = x/51

Hence, we see that the 1st option would be the correct answer.

Can someone help me please

Answers

I think it angle A is 40

vegetable ghee is stored in the cylindrical vessel of internal radius 1.4m height 1.5m. if it is transferred into the rectangular tin cans 33cm * 10cm*5cm how many cans are required to empty the vessel

Answers

Answer:

5,598 cans are required to empty the vessel

Step-by-step explanation:

The volume of a cylinder of radius r and height h is:

[tex]V = \pi r^2h[/tex]

The volume of a box of dimensions X, Y, and Z is:

V=X.Y.Z

A cylinder of r=1.4 m and height h=1.5 is used to store vegetable ghee. It contains a volume of:

[tex]V_1 = \pi 1.4^2*1.5[/tex]

[tex]V_1=9.236\ m^3[/tex]

Converting to cubic cm:

[tex]V_1=9.236*1,000,000\ cm^3[/tex]

[tex]V_1=9,236,282\ cm^3[/tex]

The volume of each rectangular tin can is:

[tex]V_2=33*10*5=1,650\ cm^3[/tex]

[tex]V_2=1,650\ cm^3[/tex]

The number of cans required to empty the vessel is:

[tex]V_1/V_2=9,236,282/1,650 = 5,598[/tex]

5,598 cans are required to empty the vessel


|14 | + l -3 l =
Pls help meereeeerrrrr

Answers

14 + -3 = 11 because 14 is the larger number meaning we keep it positive since the 14 was positive.

Answer:

What…

Step-by-step explanation:

2. Stephanie has a bag of candy with 2 snickers, 3 butterfingers, 2 Reese's, and 3 Milky Ways bars. What is the probability that she picks a Butterfinger, does not replace and then picks a milky way bar?​

Answers

I'm sorry to answer your question without an answer but I have no result but if I get one I will notify you

Step-by-step explanation:

I hope that help's SORRY!!

Helppppppppppppppppppppppppppppppppppp

Answers

Answer:

the answer its 7^2 +7^3x5 its d hope helps you

Step-by-step explanation:

Input Output
6 11
8 13
10 15
If the same rule is used, what is the output for the input of 20?
A. 12
B. 17
C. 25
D. 30

Answers

C.25 because 11-6 is five 13-8 is five and 15-10 is five so 25-20 is five

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.

1 European euro = 1.3687 US dollars

44.70 US dollars
73.06 US dollars
136.87 US dollars
140.41 US dollars

Answers

Your correct answer would be 136.87 dollars

The endpoints of a diameter of a circle are (7,-4) and (-3,2).
What is the equation of the circle in standard form?

Answers

Answer:

Step-by-step explanation:

-21x - 8y = 0

Question 2 of 5
Which of the following numbers is closest to 7?
A. 51
B. 47
C. 46
D. 50

Answers

B. 47


Hope this helps!!!

Answer:

c

Step-by-step explanation:

this is the closer to the number 7 on a number line

9+4x-3x+9 pls help me with this

Answers

Answer:

I hope this helps:)

Step-by-step explanation:

Easy math problems!!!!!!!!

Answers

Answer:

x = 56 degrees

Step-by-step explanation:

Why? they are interior opposites. Even if you would try to measure it with a protractor on your screen, it will sure to be ending up with the same angle! I hope this helps, mate. Good luck!

I don't know i'm super sorry

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