Answer:
A
Step-by-step explanation:
We have to determine the future value of the annuity to determine which account has a greater value
Future value = Amount x annuity factor
annuity factor = Annuity factor = {[(1+r)^n] - 1} / r
Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14
Account B = 250 x[ (1.051)^15 - 1 ] / 0.051 = $5435,42
Account A will be greater
Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 inches. What is the probability this year that it will snow between 71.4 and 80.7 inches in Anchorage? 67.75% 54.71% 38.14% 23.22%
Answer:
67.75%
Step-by-step explanation:
Given:
Given that:
µ = 76 ; σ = 4.7
P(x < 80.7) - P(x < 71.4)
Obtain the standardized score, Z ; x = 71. 4
Zscore = (x - μ) / σ
P(x < 71.4) = (71.4 - 76) / 4.7
P(x < 71.4) = - 4.6 / 4.7
P(x < 71.4) = - 0.9787
P(z < 0.9787) = 0.16386
x = 80.7
P(x < 80.7) = (80.7 - 76) / 4.7
P(x < 80.7) = 4.7 / 4.7
P(x < 80.7) = 1
P(z < 1) = 0.84134
0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%
Jane has 3 ¾ cups of yogurt that she wants to split into smaller containers. Each container can hold ¾ cup of yogurt.
Answer:
5 containers
Step-by-step explanation:
Converting to a decimal can make questions like this easier to solve.
3 3/4 = 3.75
3/4= .75
3.75 cups divided by .75 cup containers results in 5 containers needed.
are these numbers linear or non-linear
x- 0, 1, 2, and 3
y- 1, 3, 6, and 10
a number is the square root of 16 and also the square root of 2. what is the number?
Answer:
there is nothing like that
Step-by-step explanation:
there is no squre root of2
At the end of a snow storm, Gavin saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 0.5 inches per hour
Answer: 20 hr
Step-by-step explanation:
Given
The depth of accumulated snow is [tex]d=10\ in.[/tex]
Snow is melting at the rate of [tex]r=0.5\ \text{in. per hour}[/tex]
Time taken for complete melting of snow is
[tex]\Rightarrow t=\frac{d}{r}\\\\\Rightarrow t=\frac{10}{0.5}=20\ hr[/tex]
What’s is 3+4+8+9+2+5+6+7=
Answer:
44
Step-by-step explanation:
I just used mental math soooo.......
have a great day luvs <3
Answer:
44
Step-by-step explanation:
3+4+8+9+2+5+6+7=
7+8+9+2+5+6+7=
15+9+2+5+6+7=
24+2+5+6+7=
26+5+6+7=
31+6+7=
37+7= 44
44 = 44
A string requires 186n of force to break a 1.5 kg mass is tied to the string
Can someone solve for x and y
Answer
Calculator.net
i hope you use this it will help a lot
Can someone explain what the GFC is to me pls. Step by step explanation.
Answer:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Step-by-step explanation:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Answer:
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Step-by-step explanation:
Example: 6,8,20
6-1,2,3,6
8-1,2,4,8
20-1,2,4,5,20
GCF is 2
A clothing store sells all of their jeans for one price and all of their t-shirts for another price. Marisol purchased 2 pairs of jeans and 6 t-shirts for $60. Ernestine purchased 4 pairs of jeans and 3 t-shirts for $75. What is the cost of one pair of jeans and one t-shirt?
Answer:
j = $15
t = $5
Step-by-step explanation:
This question can be solved using simultaneous equation
let the price of t-shirt be represented with t
let the price of jeans be represented with j
From the question, these two equations can be derived
2j + 6t = 60 eqn 1
4j + 3t = 75 eqn 2
multiply eqn 1 by 2
4j + 12t = 120 eqn 3
Subtract eqn 2 from 3
9t = 45
divide both sides by 5
t = 5
Substitute for t in eqn 1
2j + 6(5) = 60
2j = 30
j = 15
Find the value of x. Show your work on a piece of paper. 1) 3 12 Х 20
Answer:
x=5
Step-by-step explanation:
3 = 12/4
x = 20/4
x = 5
Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals
Answer:
52(9/7)^t/1.5
Step-by-step explanation:
The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;
Initial number of branches = 52
Increment every 1.5 years = 2/7
N(t) = Initial * (1 + r)^t
t expressed per year = t/1.5
Hence,
N(t) = 52(1 + 2/7)^t/1.5
N(t) = 52(9/7)^t/1.5
A car uses 25 litres of fuel when travelling 355 kilometers. How far can it travel with 42 liters of fuel
Answer:
[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]
Step-by-step explanation:
Let's create a proportion using this setup.
[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]
We know that 25 liters are used for 355 kilometers.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]
We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]
[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]
Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.
[tex]25*x=42*355[/tex]
[tex]25x=14910[/tex]
Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.
[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]
[tex]x=596.4[/tex]
The car can travel 596.4 kilometers with 42 liters of fuel.
select the correct answer. one of the factors of the polynomial x^3+5x^2+6x is (x^2+3x). what is the other factor?
Answer:
x(x+2)(x+3)
Step-by-step explanation:
Answer:
x+2
Step-by-step explanation:
In the figure below, mZPSQ = 70° and m_SRQ = 27°.
What is m<PST?
A. 133° B. 40° C. 97° D. 47°
Answer:
273984828kdjsssdjdjdjdjddddeejddfj
Answer:
47
Step-by-step explanation:
First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.
Complete the equation to show how to find the sum of 7/10 and 20/100. Write your answers in the boxes. HALP MEH PLS
Answer:
9/10
Step-by-step explanation:
To solve this you need a common denominator, here we'll make it 10, leaving 7/10 and simplifying 20/100 by dividing both the 20 and 100 by 10 to get our common denominator of 10. Now we have 7/10 + 2/10 which is 9/10.
Martina owns 32 shares of a certain stock. Yesterday the value of each share went up by 8
dollars. What was the total change in value of her shares?
Answer:
wef
Step-by-step explanation:
wef
Sea p(x) = 2x + 4, calcular p(5) + p(2
Answer:
the answer is 7p
Step-by-step explanation:
p(5)+p(2)=7p
Richard sells cupcakes at a school bake sale for $1.25 each. The amount of money, m, that he makes and the number of cupcakes he sells, c, are related. Which variable is the Independent Variable and which variable is the Dependent Variable? Independent Variable: Dependent Variable:
Answer:
Independent: Number of cups he sells
Dependent: Amount of money he makes
Step-by-step explanation:
Pls pray for me of this is the last one-
Explain how you can use proportional reasoning to determine the whole if you
know that 40 is 60% of the whole.
solve for x. please help asap we have a test on these tomorrow and i have no idea what’s going on.
Answer:
x = 20°
Step-by-step explanation:
You know the horizontal line is 180°. If the left side of the horizontal line is 90° (right angle), then the right side of the horizontal line should be 90° too. (180° - 90° = 90°)
Thus, 90° = 43° + 2x + 7°
2x = 90° - 43° - 7°
= 40°
x = 40° ÷ 2
x = 20°
Answer:
X = 2
Step-by-step explanation:
As the lines are perpendicular...
90 = 43 + 2x + 7
Solve for x by making x the subject.
90 - 43 - 7 = 2x
40 = 2x
40/2 = x
20 = x
therefore, x = 2
Find the area of the kite
Given:
A figure of a kite.
To find:
The area of the given kite.
Solution:
The area of a kite is the half of the product of its diagonals.
[tex]A=\dfrac{d_1d_2}{2}[/tex] ...(i)
Where, [tex]d_1,d_2[/tex] are two diagonals of the kite.
From the given figure it is clear that the length of one diagonal is the sum of 12 and 8.
[tex]d_1=12+8[/tex]
[tex]d_1=20[/tex]
Let the second diagonal be 2x. The first diagonals bisect the second diagonal. So, the length of one parts of the diagonal is x.
Diagonals of a kite are perpendicular to each other. Using Pythagoras theorem, we get
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]13^2=x^2+12^2[/tex]
[tex]169-144=x^2[/tex]
[tex]25=x^2[/tex]
[tex]5=x[/tex]
The length of second diagonal is:
[tex]d_2=2x[/tex]
[tex]d_2=2(5)[/tex]
[tex]d_2=10[/tex]
Substituting [tex]d_1=20,d_2=10[/tex] in (i), we get
[tex]A=\dfrac{20\times 10}{2}[/tex]
[tex]A=\dfrac{200}{2}[/tex]
[tex]A=100[/tex]
Therefore, the area of the kite is 100 square units.
1.
Solve 17 - x = 1 + 3x
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
1) Add x to both sides.
[tex]17 = 1 + 3x + x[/tex]
2) Simplify 1 + 3x + x to 1 + 4x.
[tex]17 = 1 + 4x[/tex]
3) Subtract 1 from both sides.
[tex]17 - 1 = 4x[/tex]
4) Simplify 17 - 1 to 16.
[tex]16 = 4x[/tex]
5) Divide both sides by 4.
[tex] \frac{16}{4} = x[/tex]
6) Simplify 16/4 to 4.
[tex]4 = x[/tex]
7) Switch sides.
[tex]x = 4[/tex]
Therefor, the answer is x = 4.
Please help me figure this out
5.) Solve the proportion. *
2
m - 6
7.
m - 8
What is the greatest common factor of 45x^3, 24x^2, and 16x?
Answer:
[tex]\huge\boxed{\sf GCF = x}[/tex]
Step-by-step explanation:
Firstly we'll factorize the terms:
45x³ = 3 * 3 * 5 * x * x * x
24x² = 2 * 2 * 2 * 3 * x * x
16x = 2 * 2 * 2 * 2 * x
The factor which is common in all three terms is:
= x
Hence GCF = x
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18071.
Solve 17 - X = 1 + 3X
Answer:
X = 4
Step-by-step explanation:
17 -X = 1 +3X
NOTE: PUT X IN ONE SIDE AND THE NUMBER IN OTHER
so 17 -X = 1 +3X so it will be 3x + x = 4x
then 17 - 1 = 16
4 divide by 16 = 4
so X = 4
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Does 3 (x-1) = 2x + 9 have one solution, no solution, or infinite solutions?
Answer:
one solution
x = 12
Step-by-step explanation:
3 (x-1) = 2x + 9
3x - 3 = 2x + 9
subtract 2x from each side of the equation:
x - 3 = 9
add 3 to each side:
x = 12
Step-by-step explanation:
3x-3=2x+9
3x-2x=9+3
x=12
only one solution
how do you find the circumference of a circle
Answer:
circumference = pi (3.14 or 22/7, whatever your teacher wants or whatever the problem asks) x the diameter
Step-by-step explanation:
Answer:
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).
Step-by-step explanation:
I hope the images help!!