Answer:
1,897.19
Step-by-step explanation:
Answer: $ 1959.66
A = Accumulated Amount
P = Principle / first contribution ($10)
PMT = Regular contributions / additional money added to investment) ($10)
r = Interest rate (9% / 0.09)
n = compounding frequency per year (12 = monthly, 4 = quarterly, 2 = semi-annually, 1 = annually ) (12)
t = number of years (10)
Plug the numbers into this formula and your calculator should get 1959.66
Formula: A = P (1 + r/n) + PMT (1+r/n) to the power of nt -1
(r/n)
5x + y = 9
3x + 2y = 4
Solve with elimination method
Answer:
x=2 y=-1
Step-by-step explanation:
multiply the top equation by negative 2. then it is -7=-14
then you dive and find out that x=2 and plug it inot the equation and solve for x 10+?=9 which is -1
Answer:
x=2
y=-1
Step-by-step explanation:
make it so that you can cancel out the y
to do this multiply the top equation by 2
10x+2y=18
3x+2y=4
subtract to get rid of 2y
7x=14
x=2
substitute the x into one equation
3(2)+2y=4
6+2y=4
2y=-2
y=-1
Dan invests £11125 into his bank account. He receives 3.3% per year simple interest. How much will Dan have after 4 years?
Answer:
£11564.54
Step-by-step explanation:
Here is a list of ages (years) of children in a room: 2, 6, 5, 9, 6, 7, 2 State the median.
...................................................................................................................................................................
Answer:
stan stray kids periodt
What is the y-intercept?
Answer:
the y intercept is where the line crosses the y axis
A 75 inch pipe is cut into two peices. One peice is two times the length of the other find the length of the shorter pipe
Paula is making candles for her school's craft fair. She uses 12.8 ounces of beeswax for each candle. If she uses 358.4 ounces of beeswax in all, how many candles does Paula make?
Write the exponent for the expression.
1/8 x 1/8
Answer:
[tex]8^{-2}[/tex]
Step-by-step explanation:
[tex]2^{-2} = 1/4[/tex]
So:
[tex]8^{-2} = 1/8*1/8[/tex]
Evaluate the algebraic expression 1.5t -7.2 for each given value 6 -5
Answer:
1.8 ; - 14.7
Step-by-step explanation:
Evaluate the algebraic expression 1.5t -7.2 for each given value 6 ; -5
For each of values 6 and - 5 ;
Substitute the values for t in the expression ; 1.5t - 7.2
Substituting 6 for t:
1.5(6) - 7.2
9 - 7.2
= 1.8
Substituting -5 for t:
1.5(-5) - 7.2
-7.5 - 7.2
= - 14.7
If the supplement of <1 is 32º less than the measure of <1, what is m<1? a 1060 b 74o c 61o d 29o
Answer:
a. 106 degrees
Step-by-step explanation:
m=measure of angle 1; m-32 degrees=measure of supplement
m+(m-32 degrees)=180 degrees Add 32 degrees to each side.
2m=212 degrees Divide each side by 2
m=106 degrees ANSWER: The measure of angle 1 is 106 degrees
CHECK:
106+(106-32)=180
106+74=180
180=180
\left(6x10^2\right)\div \left(3x10^{-5}\right)
Answer:
[tex]\frac{6\times 10^2}{3\times 10^{-5}}[/tex] = 2 x 10⁷
Step-by-step explanation:
Given expression is [tex]\frac{6\times 10^2}{3\times 10^{-5}}[/tex]
The given expression is simplified as follows;
[tex]\frac{6\times 10^2}{3\times 10^{-5}} = (\frac{6}{3} )\times 10^{2-(-5)}\\\\(\frac{6}{3} )\times 10^{2-(-5)} = (\frac{6}{3} )\times 10^{2+5}\\\\(\frac{6}{3} )\times 10^{2+5} = 2 \ \times \ 10^7[/tex]
Therefore, the result of the given expression is 2 x 10⁷
how do you figure out what type of solution it is when their are 2 ordered pairs
Answer:
To figure out if an ordered pair is a solution to an equation, you could perform a test. Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.
Step-by-step explanation:
Amanda bill and Hong since a total of 80 text messages during the weekend bill sent eight more messages than Amanda Hong sent two times as many messages as Amanda how many messages did they each send
Answer:
amanda: 18
Hong: 36
Bill: 26
Step-by-step explanation:
a+b+h=80
b=8+a
H=2A
a+8+a+2a=80
4a+8=80
a=18
A total of 25 students sign up to be hosts on Parent's Night. Teams of 3 students greet parents. How many students cannot be on a team?
Answer:
1
Step-by-step explanation:
Because 6 x 4 is 24 and 25 - 24 is 1
Please help me answer this question. There’s a picture attached.
this is isosceles triangle, so side AB and BC are the same !
9x-8 = 28
9x=36
x=4
Answer:
probably 4 since the sides are the same
Step-by-step explanation:
9x-8=28
28+8=36
9x=36
36÷9=4
x=4
You deliver flowers to an office building. You enter at ground level and go down 4 floors to make the first delivery! Then you go up 6 floors to make the second delivery. Write down integer that represent how you return to ground level.
Answer:
-2
Step-by-step explanation:
you went to floor -4 in the begining, then went up 6 floors to floor 2
-4+6=2
so now you have to go down 2 floors making it negative
no your answer is -2
5) The probability that a typist makes 0, 1, 2, 3, 4, or 5 mistakes on a page are, respectively
0.09, 0.11, 0.24, 0.21, 0.17, 0.05. What is the probability that the typist makes three or more
mistakes mistakes on a page.
Answer:
0.43
Step-by-step explanation:
Formatting the Given data into a probability distribution table :
X : ____ 0 __ 1 ___ 2 ____ 3 _____ 4 ____ 5
P(x) : _0.09_0.11 _ 0.24 _0.21 ___ 0.17 __ 0.05
Probability of making 3 or more mistakes :
P(x ≥ 3) = P(x = 3) + P(x = 4) + P(x = 5)
P(x ≥ 3) = 0.21 + 0.17 + 0.05
P(x ≥ 3) = 0.43
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not existTo solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not exist
Answer:
the answerv is D
Step-by-step explanation:
Please I need this ASAP! A couple needs to get a loan of $5,000 and has to choose between three options. • Option A: 2 1/4% compounded quarterly (every 3 monins) o Option B: 3% compounded every 4 months o Option C: 4 1/2% compounded semi-annually If they make no payments for 5 years, which option will give them the least amount owed after 5 years? Use a mathematical model for each option to explain your choice.
Therefore, option A will result in the least amount owed after 5 years.
What is percent?Percent is a way of expressing a number as a fraction of 100. The symbol used for percent is "%". For example, 50% is equivalent to 50/100 or 0.5. Percentages are commonly used to express rates, ratios, and changes in quantity over time.
Here,
To determine which option will result in the least amount owed after 5 years, we need to calculate the total amount owed for each option at the end of the 5-year period. We can use the formula A=P(1+r/n)^(nt) to calculate the total amount owed, where A is the final amount owed, P is the principal (in this case $5,000), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time period in years.
Option A: 2 1/4% compounded quarterly (every 3 months)
The annual interest rate is 2.25%. Since interest is compounded quarterly, n=4. The time period is 5 years, so t=5. Plugging these values into the formula, we get:
A = [tex]5000(1+0.0225/4)^{(4*5)}[/tex]
= $5,827.05
Option B: 3% compounded every 4 months
The annual interest rate is also 3%, but interest is compounded every 4 months. To calculate the effective interest rate per year, we need to convert the compounding period to years. Since there are 3 compounding periods per year (4 months each), the effective annual interest rate is:
(1+0.03/3)³ - 1 = 0.0304 or 3.04%
Using the formula with these values, we get:
A = 5000(1+0.0304)⁵
= $6,079.28
Option C: 4 1/2% compounded semi-annually
The annual interest rate is 4.5%. Since interest is compounded semi-annually (twice per year), n=2. Plugging in the values, we get:
A = [tex]5000(1+0.045/2)x^{(2*5) }[/tex]
= $6,200.92
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Can someone please help
18 • 1 and 18 = ?
help
Answer: 18 = 36.
Step-by-step explanation: (18x1) + 18 = 36
SOMEONE PLEASE ANSWER 3 ITS DUE IN 3 MINUTES!! WHOEVER ANSWERS GETS BRAINLIEST
Answer:
9:10
Step-by-step explanation:
74 is the buccaneers, and 35+45=80
so the ratio is 74:80
simplify to 36:40
then to 18:20
then to 9:10
The ratio of cars to trucks in a parking lot is 2:5. If there are 254 cars, how many trucks are in the lot? What is the answer plz
Answer:
635 trucks
Step-by-step explanation:
So first e know the ratio is 2:5
The amount of cars are 254
So the 2 in the ratio which represents cars is 254
So w can make that as A ratio
2:254
The 5 is known but the actual amount is unknown so we can make that x
5:x
Now we gotta make them equal to each other
2:254=5:x
Turn into fraction
2/254=5/x
Cross multiply (proportion)
2x=1270
Solve
x=635
So 635 trucks
In one day a store sold 3/4 as many DVDs as Blu-Ray discs. The total number of DVDs and Blu-Ray discs sold that was 406. How many DVDs were sold
Answer:
283.2
Step-by-step explanation:
The number of DVDs will be 304.5.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that In one day a store sold 3/4 as many DVDs as Blu-Ray discs. The total number of DVDs and Blu-Ray discs sold was 406.
The number of the DVDs will be calculated as below:-
Number = 406 x ( 3 / 4).
Number = 304.5
Therefore, the number of DVDs will be 304.5.
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Please help I'm so confused
Answer:
the quotient is 805. the remainder is 5.
Step-by-step explanation:
when you multiply the 8 you put the number you multiplied on top. The first one is 80 and then 5. You have a 5 left over which makes that the remainder
Answer:
1. is 85.625
2. is .625
so you divide 685 and you know nothing multiplied by 8 will equal 685 so the remainder is 685
A certain car can travel 28.45 miles with one gallon of gasoline. The gasoline tank can hold
11.5 gallons. How many miles can this car travel on a full tank of gas? SHOW YOUR WORK!
Answer:
Answer:
327.175 miles
Step-by-step explanation:
Step one:
given data
A car can travel 28.45 miles with one gallon of gasoline
We want to find how far the car can go with 11.5 gallons
Step two:
if 1 gallon can go 28.45 miles
then 11.5gallons will go x miles
cross multiply we have
1x= 28.45*11.5
x=327.175 miles
4.) Fill in the table to show a proportional relationship and then identify the
constant of proportionality for the cost to the number of yoga classes. In
the answer box, please list the constant of proportionality.
Answer/Step-by-step explanation:
✔️Number of Yoga classes = x
Cost ($) = y
Constant of proportionality (k) = y/x
Using the pair form the table of values given, (4, 60), find the constant of proportionality:
✅k = 60/4 = 15
Equation that represents the relationship between x and y is:
y = 15x
✔️Let's complete the table.
✅When number of yoga classes (x) = 2:
Substitute x = 2 into y = 15x
Thus,
y = 15*2 = 30
That is, 2 Yoga classes will cost $30
✅When number of yoga classes (x) = 6:
Substitute x = 6 into y = 15x
Thus,
y = 15*6 = 90
That is, 6 Yoga classes will cost $90
✅When number of yoga classes (x) = 8:
Substitute x = 8 into y = 15x
Thus,
y = 15*8 = 30
That is, 8 Yoga classes will cost $120
What type of number is this: 5 3/4?
Answer:
it’s mixed number
Step-by-step explanation:
Answer:
It is a Mixed number!
Step-by-step explanation:
Find three consecutive integers such that the sum of the first and twice the second is 68 minus three times the third.
Answer:
x=9.5
Step-by-step explanation:
x+2(x+1)=68-3(x+3)
x+2x+2=68-3x-9
3x+2=68=59-3x
6x=57
x=9.5
How many different triangles can you make if you are given three lengths for sides?
Answer:
The lesson Triangle Construction discussed how to make a triangle given three side lengths. As you discovered, as long as two of the lengths added up to be greater than the third, they would form a unique triangle (only one triangle could be formed).
Step-by-step explanation:
Can you give a picture of what you're talking about so I can help? lol.