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.
Find the selling price of a suit if a store
paid $140 for it, and it was marked up 80%
over the cost.
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
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
A consistent and dependent system of linear equations has how many solutions?
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.
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?
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!!
Determine whether each table had the same rate change shown in the graph .
Select Yes or No for each table.
Answer:
yes no yes yes mark brainiest please
Step-by-step explanation:
HELP BEING TIMEDD
Enter the formula to find the surface area of a prism involving area of the Base and Perimeter of the base
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.
$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 $870 on your brother's Christmas presents.
How many presents will she be able to buy you?
Answer:the answer is 330 with that makes 11 presents
Step-by-step explanation:
because she spent 1200-870 on your brother subtract the 1200-870 it makes 330 so you can subtract 330-30 each will give 11 presents
determine the slope of a line that contains the points (6,7) and (5,1)
Answer:
A) 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, 7)
Point (5, 1)
Step 2: Find slope m
Substitute: [tex]m=\frac{1-7}{5-6}[/tex]Subtract: [tex]m=\frac{-6}{-1}[/tex]Divide: [tex]m=6[/tex]The number positioned at point E is...
Answer:4 and a half
Step-by-step explanation:
4 and a half
What is the slope of the line that passes through (3, 14) and (7, 9)?
Answer:
[tex]m=\frac{-5}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 14)
Point (7, 9)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{9-14}{7-3}[/tex]Subtract: [tex]m=\frac{-5}{4}[/tex]9+4x-3x+9 pls help me with this
Answer:
I hope this helps:)
Step-by-step explanation:
the width of a rectangle measures (8c-5)(8c−5) centimeters, and its length measures (2c 10)(2c 10) centimeters. which expression represents the perimeter, in centimeters, of the rectangle?
The expression that represents the perimeter of the rectangle is [tex]$\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
Easy math problems!!!!!!!!
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
pls help :( i’ll give brainliest
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
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.
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.
Helppppppppppppppppppppppppppppppppppp
Answer:
the answer its 7^2 +7^3x5 its d hope helps you
Step-by-step explanation:
Help with math question
Answer:
I believe because everything adds to 180
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
Can someone help me please
16 and what other number is the geometric mean of 32
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
y=-0.72x + 7.7
Find y when x = 3.5.
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:
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
Answer:
4n + 10
Step-by-step explanation:
Maria jogged 3 miles in 3/5 hour. How many miles does Maria jog??
Answer:
5 miles
Step-by-step explanation:
YW
n/15=21/35 Solve for the missing value in the proportion.
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
Does anyone know the answer?
Answer:
cos57° = x/51
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] sin∅ = opposite over hypotenuse [Right Triangles Only] cos∅ = adjacent over hypotenuseStep-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 tell me the answer to this?
Answer:
c is the answer i hope this helps
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
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
Answer:
What…
Step-by-step explanation:
Question 2 of 5
Which of the following numbers is closest to 7?
A. 51
B. 47
C. 46
D. 50
Answer:
c
Step-by-step explanation:
this is the closer to the number 7 on a number line
The endpoints of a diameter of a circle are (7,-4) and (-3,2).
What is the equation of the circle in standard form?
Answer:
Step-by-step explanation:
-21x - 8y = 0