Jennifer has been saving for college for 57 months. The first month, she saved $11. She was able to save more money each month than the month before. She ended up saving $19,779.00. How much more did she save each month?
(A) $11.00
(B) $11.50
(C) $12.00
(D) $12.50
Step-by-step explanation:
his is an arithmetic sequence with first term (a) = 11, number of terms (n) = 57, sum of nth term (Sn) = 19,779.
Let the amount of money she saved more each month be d, then
Sn = n/2(2a + (n - 1)d)
19,779 = 57/2(2(11) + (57 - 1)d)
19,779 = 28.5(22 + 56d)
19,779 = 627 + 1,596d
19,779 - 627 = 1,596d
d = 19,152/1,596 = 12
Therefore, she saved $12.00 more each month.
Answer:
c 12.00
Step-by-step explanation:
A satellite television company charges a one-time installation fee of $55 and a monthly service charge of $46. Elizabeth was installed this year and has spent a total of $285.00 on her satellite connection. The equation 55 + 46x = 285 can be used to represent her expenses so far. What does the variable x represent in this situation?
Answer:
The monthly service charge
Step-by-step explanation:.
Find the surface area of the rectangular prism. 5ft tall 5 feet long 2 feet wide
Answer:
46.25 feet squared
Step-by-step explanation:
base area = 5x2 = 10
you need to find how tall the faces of the prism are now. You can do this using the pythagorean theorem: a^2+b^2=c^2
5^2+2.5^2=c^2 and 5^2+1^2=c^2
(since it is a rectangular pyramid)
c= 5.60 and c= 5.01
now be can find the surface area of the 4 triangles
SA= 5.60x2 and SA= 5.01x5
SA=11.2 and SA= 25.05
add all the components (11.2, 25.05, 10) together to get the final surface area: 46.25
help me plz
does anyone know this
Answer:
I believe the x value is 5
Step-by-step explanation:
point A is plotted on point (5,3)
5 is x and y is 3, hope it helps
WILL GIVE BRAINLST
hAVE A GOOD DAY
Answer:
really!!?? thank you!!! need one! ;w;
Step-by-step explanation:
Answer:
put it at 4.5
Step-by-step explanation:
put it at 4.5 because 20's square root is 4.472 but it says approximately so you need to round 4.472 to 4.5
Is there anyone that can help me with this problem?
Answer:
A
Step-by-step explanation:
mnp=wxy
Answer:
1. MNP-WXY
Step-by-step explanation:
Line up each angle with the one that corresponds with it on the other triangle. (so M=W, N=X, P=Y)
Then, look at each equation and see it each one is in the right spot on each side. (So M and W should be in the same spot, N and X should be in the same spot, and P and Y should be in the same spot)
So the possible statements could be: MNP-WXY, NPM-XYW, PMN-YWX, PNM-YXW, MPN-WYX, and etc.
Sometimes, the triangles aren't lined up with each correct angle in the corresponding spot and to fix that, just flip the triangle.
(hope this helps...and makes sense :P)
The diameter, D, of a sphere is 6.4 mm. Calculate the sphere's volume, V.
Use the value 3.14 for pi and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answer:
Volume of sphere = 1.3 * 10^-7 cubic meters.
Step-by-step explanation:
Given the following data;
Diameter, D = 6.4 mm to meters = 6.4/1000 = 0.0064 meters.
But, Radius = diameter/2
Radius = 0.0064/2 = 0.0032 meters.
π = 3.14
To determine the volume of sphere, we would use the formula;
[tex] Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3} [/tex]
Substituting into the equation, we have;
[tex] V = \frac {4}{3} * 3.14 * 0.0032^{3} [/tex]
[tex] V = 4.186666667 * 3.2768 * 10^{-8} [/tex]
Volume of sphere = 1.371886933 * 10^-7 cubic meters.
To the nearest tenth;
Volume of sphere = 1.3 * 10^-7 cubic meters.
Carla has already written 10 pages of a novel. She plans to write 15 additional pages per month until she is finished. Write an equation to find the total number of pages P written after any number of months m and find the total number of pages written after 5 months
Answer:
equation: p=15m+10
p=pages
m=months
amount of pages after 5 months: 85
Step-by-step explanation:
You know Clara already has 10 pages, and that 15 will be written per month. Therefore, the equation is p=15m+10
To find the answer for 5 months simply substitute m
15(5) + 10
75+10
85=total pages
Answer:
Equation: P=15m+10
After 5 months: 85 pages.
Step-by-step explanation:
10 pages is the starting point of Carla's book so it will be a constant, which means that 10 will be by itself with no variables next to it. The addition 15 per month will put next to the m since this is how much she is adding each month. So the equation will look like this:
P=15m+10
To find how many pages after 5 months, simply plug 5 into m and solve for P.
P=15(5)+10
P=75+10
P= 85
85 Pages.
If f(x) = 2x, then f '(x) =
- 2x
x
X-2
Answer:
Step-by-step explanation:
if f(x)=2x then f’(x)=dy/dx=2
Oddly that is not one of the choices shown, but the constant 2 is the derivative of 2x.
Pls help!!
Which year had the highest month of car sales?
A. 2004
B. 2005
C. neither
Answer:
Number A
Step-by-step explanation:
Hope this helps.
In the year 2004, the highest month of car sales happened.
The correct option is A.
What is graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
Given:
There is a graph that represents the number of car sales in a month for two different years.
By comparing, the both function graphs,
we get,
In 2004, car sales are higher in 7-5 = 2 months more than in year of 2005.
That means,
In 2004, the highest month of car sales happened.
Therefore, the required year is 2004.
To learn more about the graph;
https://brainly.com/question/23680294
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Can someone please give me the answer I will mark u brilliant as soon as it pops up.
Answer:
340 ft
Step-by-step explanation:
I think the answer you are looking for is 340 ft²!
Work shown in photo!
WILL GIVE BRAINLST
hAVE A GOOD DAY
Answer:
4/25 and >
Step-by-step explanation:
Solve for b:
2b = 36
Answer:
b = 18
Step-by-step explanation:
1st step is isolating b by moving 2 to the other side. When you move a number the the other side it flips (from + to - or × to ÷). The 2 in this question is being multiplied my b (no sign means multiply) so when you move it to the other side it becomes 36/2 or 18
Steps:
2b=36
b=36/2
b=18
Answer:
b=18
Step-by-step explanation:
2b=36
Divide both sides by 2
b=36/2
then divide 36 by 2 to get 18
have a great day ^_^
what 5+5 = XD is it 25
Answer:
10
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!
a line has a slope of -6 and includes the points (g,-8) and (0,-2). What is the value of g?
Answer:
Step-by-step explanation:
Equation for line of slope -6 that passes through (0,-2):
y+2 = -6(x-0)
y = -6x - 2
Plug in (g,-8) and solve for g:
-8 = -6g - 2
g = 1
The area of the hexagonal base is 58 square inches.
The height is 6.25 inches.
What is the volume the hexagonal prism? cubic inches
Do not round the height or the answer.
Answer:
362.5 in^3
Step-by-step explanation:
V = (face [surface] area)(height)
V = 58(6.25) = 362.5
if = {2,12,19,23,29} and b={2,23,34,40,45} then what is A∩B
9514 1404 393
Answer:
A∩B = {2, 23}
Step-by-step explanation:
The intersection of two sets is the list of elements common to both.
2 is found in both
12, 19 are only in set A
23 is found in both
29 is only in set A
34, 40, 45 are only in set B
The intersection of the two sets is {2, 23}.
Solve equation: 5(10^x+2)=60
Answer:
x = 1
Step-by-step explanation:
[tex]5(10^x+2)=60 \\ \\ 10^x+2= \frac{60}{5} \\ \\ 10^x+2= 12 \\ \\ {10}^{x} = 12 - 2\\ \\ {10}^{x} = {10} \\ \\ {10}^{x} = {10}^{1} \\ \\ x = 1[/tex]
what's 2+2
spent 1 hr 9 mins on this question so far, literally shaking and crying rn, will give first answer brainliest, no need for explanation as that would take too long
Help! I’m beggin you. Last question.
Answer:
x=40°
y=50°
there you go buddy
I will mark you BRAINLIST please help with all 3 and show work on a paper please I need this thank you !!
-4x + 5y = 12. Value of y when x equals -13
Answer:
y = -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-4x + 5y = 12
x = -13
Step 2: Solve for y
Substitute in x: -4(-13) + 5y = 12Multiply: 52 + 5y = 12[Subtraction Property of Equality] Isolate y term: 5y = -40[Division Property of Equality] Isolate y: y = -8Answer:
-8
Step-by-step explanation:
-4x + 5y =12
-4(-13) + 5y =12
52 + 5y =12
5y= -52 + 12
5y/5 = -40/5
y= -8
What is the area of the trapezoid if h = 5 cm,
b. = 6 cm, and b, = 8 cm?
A. 16.5 square cm
B. 19 square cm
C. 35 square cm
D. 40 square cm
HELP ME PLS ASAP PLS PLZ PLZ
Answer:
C) 35 square cm
Step-by-step explanation:
(6+8)/2=7
7x5=35
Michael is saving to buy his senior ring. The base cost of the ring is $280 plus any upgrades he wants to purchase. If he saves $35 each month, which solution represents how many months, x, it will take Michael before he can purchase his ring?
Answer:
8
Step-by-step explanation:
280/35=x
This is only for the base cost.
You can also right this as:
35(X)=280 and solve for x
35(X)=280
/35 /35
x=8
Hope this helps, good luck!
The solution that represents how many months, x, it will take Michael before he can purchase his ring is "x ≥ 8". The correct answer would be option (B)
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
It will take Michael 8 months or more to save enough money to buy his senior ring. We know this because the inequality "x ≥ 8" means "x is greater than or equal to 8".
In other words, x can be equal to 8 or any number greater than 8.
So if Michael saves $35 each month, it will take him at least 8 months to save $280.
Hence, the solution is "x ≥ 8".
Learn more about the inequalities here:
brainly.com/question/20383699
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The question seems incompleted, the complete question would be as:
Michael is saving to buy his senior ring. The base cost of the ring is $280 plus any upgrades he wants to purchase. If he saves $35 each month, which solution represents how many months, x, it will take Michael before he can purchase his ring?
A. x > 8
B. x≥8
C. x<8
D. x ≤8
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Answer:
lol?????????????????"!?!?!?!?!?!?
Step-by-step explanation:
Answer:
SKSKSKSKSKSKSKSKSKSKSKSKSKS
The 1st,12th and the last term of an AP are 4,31.5 and 376.5 respectively. Determine the number of terms in series
Answer: 150
Step-by-step explanation:
To solve arithmetic progression, the nth term is calculated using the formula = a + (n - 1)d
From the question,
First term = a = 4
12th term = 31.5
We need to get the common difference which will be:
Since 12th term = 31.5
a + (n - 1)d = 31.5
a + (12 - 1)d = 31.5
a + 11d = 31.5
Recall that a = 4
4 + 11d = 31.5.
11d = 31.5 - 4
11d = 27.5
d = 27.5 / 11
d = 2.5
Since last term is 376.5, the number of terms in it will be calculated as:
a + (n - 1)d = 376.5
4 + (n - 1)2.5 = 376.5
4 + 2.5n - 2.5 = 376.5
2.5n = 376.5 - 4 + 2.5
2.5n = 375
n = 375 / 2.5
n = 150
The number of terms in the series is 150.
What is the area of this figure in square meters?
Answer:
the answer is 76 ........
Plzzz help. Giving everything.
Answer:
d. 260. is the answer.
1. Isaiah and Ron work together on their
math homework. Isaiah says that 3(x + 3) is
equivalent to 3x + 9. Ron says that the two
expressions are not equivalent. Sketch a model
of each expression to show who is correct.
Answer:
Step-by-step explanation:
They are equivalent. Use the distributive property.
3(x+3)
the 3 on the outside of the parenthesis is multiplied by the variable(the letter) and thenthe constant(number) inside the parenthesis.
makes and equivalent equation 3x+9
Find the slope of the line. y 8 (10,6) 6 4 2 (4, 1.2) 4 6 8 10 x slope =
Answer:
The slope is 0.8
Step-by-step explanation:
Given
[tex](x_1,y_1) = (10,6)[/tex]
[tex](x_2,y_2) = (4,1.2)[/tex]
Required
The slope (m)
The slope (m) is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{1.2 - 6}{4 - 10}[/tex]
[tex]m = \frac{-4.8}{-6}[/tex]
[tex]m = 0.8[/tex]