Tom was saving $3000 for a trip. He initially deposited $200 in a savings account and then deposited a fixed amount every month in the account for the next 5 months. Then he received a check in the mail. The check was three times as much as the total amount he had saved so far. When he deposited the check in his savings account, he had $200 more than he needed. What was the fixed amount he deposited in the savings account during the 5 months?
Answers
4(200 + 5x) = 3200. I came up with this because it says he started with 200 and added a fixed amount every month for 5 months (5x). If the check was 3 times the amount he already had saved, then he has 4 times what he started with.
His goal was $3000, but he has $200 more than that, so $3200 would be the amount he has.
I have attached the work showing how to solve for x, the amount he depositors each month.
Related Questions
if tyrone works 40 hours per week and has no other sources of income what is his total monthly cash inflow
Answers
[tex]18 \times 40 = 720[/tex]
[tex]720 \times 4 = 2880[/tex]
[tex]2880 - 1800 = 1080[/tex]
~~
Answer : B
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
Find the values of a b and c for which the quadratic equation ax^2+bx+c=0 has the solutions -3 and 1
Answers
.. a(x +3)(x -1) = 0
.. a(x^2 +2x -3) = 0
The quadratic
.. ax^2 +bx +c = 0 will have solutions -3 and 1 for ...
.. a ≠ 0
.. b = 2a
.. c = -3a
The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?
Answers
one number = x
the other number = 3x
Given that the sum of these two number is 44.
x + 3x = 44
4x = 44
x = 44 ÷ 4
x = 11
x = 11
3x = 11 x 3 = 33
The two numbers are 11 and 33
x = larger number
y = smaller number
Set up equations:
[tex]x + y = 44[/tex]
[tex]3y = x[/tex]
Solve by substituting. I will use the x already given to us (in second equation) to substitute in 1st equation (x = 3y):
[tex]3y + y = 44[/tex]
[tex]4y = 44[/tex]
[tex]y = 11[/tex]
Plug it back into 2nd equation to solve for x:
[tex]3y = x[/tex]
[tex]3(11) = x = 33[/tex]
So, our two values are: x = 33 and y = 11.
We can check, x + y = 33 + 11 does equal 44 and 33 times is 3 times larger than 11. So, the initial criteria work out and we are right.
If the two equal sides of an isosceles triangle are 2 cm long, find the length of the third side thatmaximizes the area of the triangle.
Answers
Area = (1/2)(2 cm)²×sin(β)
This will be a maximum for β = 90°. The corresponding length of the third side is
2√2 cm
≈ 2.2828 cm
2x+5y=-6 , wht is the x intercept, what is the y intercept
Answers
The x-intercept is (-3,0) and the y-intercept is (0,-6/5).
Explanation:The x-intercept is the point where the line crosses the x-axis. To find the x-intercept, we set y=0 and solve for x. In the equation 2x+5y=-6, we substitute 0 for y and solve for x:
2x + 5(0) = -6
2x = -6
x = -3
So, the x-intercept is the point (-3,0).
The y-intercept is the point where the line crosses the y-axis. To find the y-intercept, we set x=0 and solve for y. In the equation 2x+5y=-6, we substitute 0 for x and solve for y:
2(0) + 5y = -6
5y = -6
y = -6/5
So, the y-intercept is the point (0,-6/5).
solve x=4+(4x-4)^(1/2)
Answers
First, we rewrite the expression:
x = 4 + (4x-4) ^ (1/2)
x = 2 (2+ (x-1) ^ (1/2))
x = 4 + 2 (x-1) ^ (1/2)
From here we get a solution for x = 10
To check it we substitute x = 10 in the expression:
10 = 4 + 2 (10-1) ^ (1/2)
10 = 4 + 2 (9) ^ (1/2)
10 = 4 + 2 (3)
10 = 4 + 6
10 = 10
Answer:
The solution is:
x = 10
Answer: Option B
x = 10
Step-by-step explanation:
just did it on edge
martin paid $120 towards his $2400 credit card bill. what percentage did he pay
Answers
120/2400*100/1 =120/24 =5%
Find the percentages. 15m is what percent of 60m; 3m; 30m; 1.5 km?
Answers
25% of 60m
500% of 3m
50% of 30m
1000% of 1.5m
Here are the calculations to find the percentages:
1. [tex]15\text{m}$ is what percent of $60\text{m}?[/tex]
[tex]\frac{15\text{m}}{60\text{m}} \times 100\% = \frac{1}{4} \times 100\% = 25\%[/tex]
2. [tex]15\text{m}$ is what percent of $3\text{m}?[/tex]
[tex]\frac{15\text{m}}{3\text{m}} \times 100\% = 5 \times 100\% = 500\%[/tex]
3. [tex]15\text{m}$ is what percent of $30\text{m}?[/tex]
[tex]\frac{15\text{m}}{30\text{m}} \times 100\% = \frac{1}{2} \times 100\% = 50\%[/tex]
4. [tex]15\text{m}$ is what percent of $1.5\text{km}?[/tex]
[tex]1.5\text{km} = 1500\text{m}[/tex]
[tex]\frac{15\text{m}}{1500\text{m}} \times 100\% = \frac{1}{100} \times 100\% = 1\%[/tex]
Therefore, the percentages are:
1. [tex]15\text{m}$ is $25\%$ of $60\text{m}[/tex]
2.[tex]15\text{m}$ is $500\%$ of $3\text{m}[/tex]
3. [tex]15\text{m}$ is $50\%$ of $30\text{m}[/tex]
4. [tex]15\text{m}$ is $1\%$ of $1.5\text{km}[/tex]
Assume that the weights of all packages of a certain brand of cookies are normally distributed with a mean of 32 ounces and a standard deviation of 0.3 ounce. find the probability that the mean weight, x¯, of a random sample of 20 packages of this brand of cookies will be between 31.8 and 31.9 ounces.
Answers
Peyton has two pizzas each Pizza is cut into 10 equal slices she and her friends eat 14 slices what part of the pizzas did they eat write your answer as a decimal please help
Answers
14/20 <---Fraction eaten over total
7/10 <---Fraction reduced to tenths
0.7 <---is a decimal equal to 7/10
What is the equation for 5n+7=21
Answers
5n = 14
14 / 5 = 2.8
N = 2.8
Hope I helped!
Let me know if you need anything else!
~ Zoe (Rank:'Genius')
To start, you must first isolate the 5n term so that you can solve for the variable of n.
To do this, subtract 7 from both sides:
5n+7=21
-7 -7
5n=14
Now, divide both sides by 5 to isolate the n term:
5n/5=14/5
You should get a result of n=14/5
Therefore, your final answer should be n=14/5.
To check if the answer is correct, simply plug 14/5 for the variable n in the original equation. If you get a correct mathematical statement when you simplify, the value is correct:
n=14/5
5(14/5)+7=21
14+7=21
21=21
Therefore, n=14/5 is correct.
Hope this helps and have a marvelous day! :)
how do you write 6 less than the product of 3 and a number X?
Answers
Charlie reads quickly. He reads 1 and 3 seventh pages every 2 third minutes. Charlie reads at a constant rate. How many pages does charlie read per minute?
Answers
Charlies reads 15/7, or 2 1/7, page per minute.
Hope this helps a bit.
15% of the toddlers in a preschool class drink water with their lunch. How many toddlers
are in the class if 3 toddlers drink water with their lunch?
(a) Draw a model for the situation (if you prefer to use a 100-grid model or ratio table
model, that’s fine too!) and label the “part,” “whole,” and “percent.”
Answers
15x = 300
x = 300/15
x = 20 kids
Push technology is also known as _____.
simulcast
Webcasting
connectivity
data-driven decision-making
Answers
WEBCASTING
According to wikipedia ,
push technology is is a style of Internet-based communication where the request for a given transaction is initiated by the publisher or central server.
A webcast is a media presentation distributed over the Internet using streaming media technology to distribute a single content source to many simultaneous listeners/viewers.
How many times bigger is 7 billion than 700 million
Answers
7,000,000,000/700,000,000=10
A cylinder has a radius of 4x+2 and a height of 5x+4. Which polynomial in standard form best describes the total volume of the cylinder. Use the formula V=pir^2h for the volume of a cylinder.
Answers
Answer and how you get then answer
Answers
= (480/540 -1)*100%
≈ -11.11%
The number of calories in a child's meal was reduced about 11%.
Leo multiplied all numbers from 1 to 11 and wrote the answer on the board. During the break three digits were erased 39,9...6,8... ... . What are the erased digits?
Answers
The erased digits are 1, 0, 0.
guy finds how car his house is several locations and makes the table shown how much farther away from guy's house is the library than the cafe?
Answers
Searches related to Elon sat on the dock with his fishing rod, when suddenly he felt the rod being pulled down! He reeled in his catch, causing it to ascend at a constant rate of 0.10, point, 1 meters per second. When it reached the water's surface after 35 seconds, Elon found it was only an old shoe. Graph the shoe's altitude (in meters relative to the water's surface) as a function of time (in seconds).
Answers
We first graph the point where his catch reached the surface, (35, 0). Since it travels upward at a constant rate, the graph will be linear. We also need to know where it starts (what depth it is at when he begins reeling it in). We can use the formula d=rt as a template for our function. d would be distance (in our case, depth), r is the rate (speed) and t is the amount of time.
To find how far the catch had to travel to reach the surface, we set up our equation as:
d = 0.1(35)
This will tell us how much distance it traveled in 35 seconds. 0.1(35)=3.5, so the catch started 3.5m under water. It then travels up at 0.1 m per second.
what term has to be added to x^2-3x to be a trinomial 3/2 9/4 6 9
Answers
The given expression is:
[tex] x^{2} -3x[/tex]
The formula of [tex] (a-b)^{2} [/tex] is [tex] a^{2} -2ab+ b^{2} [/tex]
Re-writing the given expression:
[tex] x^{2} - 2(x)( \frac{3}{2}) [/tex]
So, we have the square of first term and twice the product of first and second term. What is missing is the square of second term.
So, the complete expression for perfect square will be:
[tex] x^{2} -2(x)( \frac{3}{2})+ ( \frac{3}{2} )^{2} \\ \\ x^{2} -2(x)( \frac{3}{2})+ \frac{9}{4} [/tex]
Therefore, 9/4 should be added to the given expression to make it a perfect square.
Answer: The correct option is (B) [tex]\dfrac{9}{4}.[/tex]
Step-by-step explanation: We are given to find the term that has to be added to [tex]x^2-3x[/tex] to be a perfect trinomial.
Let, c denote the term to be added.
Then,
[tex]x^2-3x+c\\\\=x^2-2\times x\times \dfrac{3}{2}+c\\\\\\=x^2-2\times x\times \dfrac{3}{2}+\dfrac{9}{4}+c-\dfrac{9}{4}\\\\\\=\left(x-\dfrac{3}{2}\right)+c-\dfrac{9}{4}.[/tex]
Therefore, the given expression will be a perfect trinomial if
[tex]c-\dfrac{9}{4}=0\\\\\\\Rightarrow c=\dfrac{9}{4}.[/tex]
Thus, the required term to be added is [tex]\dfrac{9}{4}.[/tex]
Option (B) is CORRECT,
Use the following diagram to complete the required information. m∠ROS = 20 deg 15' 40", m∠SOT = 10 ° 12' 30" m∠ROT = 30 ° 27' 10" 31 ° 28' 10" 30 ° 28' 10"
Answers
Answer:
Third option 30° 28' 10"
Brainlist?
Step-by-step explanation:
m∠ROT, formed by adjacent angles m∠ROS (20° 15' 40") and m∠SOT (10° 12' 30"), measures 30° 28' 10" according to the Angle Addition Postulate.
Attached diagram.
To find the measure of angle ROT (m∠ROT), you can use the Angle Addition Postulate.
The Angle Addition Postulate states that the measure of an angle formed by two adjacent angles is equal to the sum of the measures of those two angles.
Here m∠ROS and m∠SOT as adjacent angles forming m∠ROT.
m∠ROS = 20 degrees 15 minutes 40 seconds
m∠SOT = 10 degrees 12 minutes 30 seconds
To find m∠ROT, add the measures of m∠ROS and m∠SOT:
m∠ROT = m∠ROS + m∠SOT
First, add the degrees, then the minutes, and finally the seconds separately:
Degrees: 20 degrees + 10 degrees = 30 degrees
Minutes: 15 minutes + 12 minutes = 27 minutes
Seconds: 40 seconds + 30 seconds = 70 seconds
Now, simplify the seconds by converting any excess seconds into minutes:
70 seconds = 1 minute and 10 seconds
Now, add the minutes to the total:
27 minutes + 1 minute = 28 minutes
So, m∠ROT is:
30 degrees 28 minutes 10 seconds
Therefore, the measure of the angle m∠ROT = 30 degrees 28 minutes 10 seconds.
learn more about angles here
brainly.com/question/30147425
#SPJ3
The above question is incomplete, the complete question is:
Use the following diagram to complete the required information. m∠ROS = 20 deg 15' 40", m∠SOT = 10 ° 12' 30"
m∠ROT =
30 ° 27' 10"
31 ° 28' 10"
30 ° 28' 10"
Attached diagram.
116=0.0625. Which calculation is NOT a way to find 1516?
Answers
1/16=0.0625
we know that
Multiply (0.0625) by 15 is a way to find (15/16)--------> 0.0625*15=0.9375
so
any operation that results in any other value is not a way to find (15/16)
Answer: 16 divided by 15
Step-by-step explanation:
I got it right.
If the sum of four consecutive odd integers is 208, what is the smallest of the four integers?
Answers
is possible to have a shape with different dimensions while having the same volume?
Answers
yes,
a cuboid with dimensions 2, 4, 8 has volume = 64 unit^3
a cube with side 4 has volume = 64 unit^3
so, they have different shapes but same volume
10 + 1 = a. dieciuno c. veintiuno b. once d. nueve
Answers
When searching for a lost animal, the search party often creates a circular area with a search radius. Two points of interest in the search are the last known locations the animal was sighted. The two points of interest in this case are the pet’s home, which is located at (-4,5), and the neighbor’s yard, located at (-9,10). If the pet’s home is the center of the circle and the neighbor's yard is on the circle, find the radius of the circle.
Answers
C----------> the center of a circle
C (-4,5)
A-----------> a point on the circle
A (-9,10)
we know that
the distance between point A and point C is the radius of the circle
A (-9,10) C (-4,5)
d=√[(y2-y1)²+(x2-x1)²]--------> √[(5-10)²+(-4+9)²]
=√[(-5)²+(5)²]------> √[(25)+(25)]---------> √50
d=7.07 units
r=d--------> r=7.07 units
the equation of a circle is
(x+4)²+(y-5)²=50
see the attached figure
the answer is
the radius of a circle is 7.07 units
5 plus 500% of 10 is the same as 110% of what number?
Answers
55÷110%=50
so 5 plus 500% of 10 is the same as 110% of 50
which quadrant is (8, -1) in (A) | (B) || (C) ||| (D) ||||
Answers
this would be the 4th quadrant.
the answer is D
see picture: