Answer:
The compounded annually account will earn more interest over 10 years
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
P is the original valuer is the rate in decimalt is the timeThe rule of the compounded interest is A = P[tex](1+\frac{r}{n})^{nt}[/tex], where
A is the new valueP is the original valuer is the rate in decimaln is the number of periodst is the timeThe interest I = A - P
∵ Each account start with $200
∴ P = 200
∵ They have an interest rate of 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∵ One account earns simple interest and the other is compounded
annually
∴ n = 1 ⇒ compounded annually
∵ The time is 10 years
∴ t = 10
→ Substitute these values in the two rules above
∵ I = 200(0.05)(10)
∴ I = 100
∴ The simple interest = $100
∵ I = A - P
∵ A = 200[tex](1+\frac{0.05}{1})^{1(10)}[/tex]
∴ A = 325.7789254
∵ I = 325.7789254 - 200
∴ I = 125.7789254
∴ The compounded interest = $125.7789254
∵ The simple interest is $100
∵ The compounded interest is $125.7789254
∵ $125.7789254 > $100
∴ The compounded annually account will earn more interest
over 10 years
Which equations have the variable term isolated to one side of the equals sign, and the constant isolated to the other
side, for the equation 1/5 x +1/3 = 1/2x + 8/3 ? Select all that apply
1. 1/5x-7/3=-1/2
2. 7/10x=7/3
3. -7/3=-7/10x
4. x=-5/2x+35/3
5. 0=-7/10x+7/3
Answer:
7/10x =7/3
-7/3 =-7/10x
This is the answer cause I just took the test and these were the right answers.
WHICH ONE DO I PICK?
CAN SOMEONE PLEASE HELP! I WILL MARK BRIANLIEST
Answer:
yes is is proportional
x=ydivided by 3.5
Step-by-step explanation:
Answer: multiplying by 3.5
Step-by-step explanation: because if you divide 7 by 2 you will 3.5
help please i need help.
Answer: y=4x-4? yall i love algebra but I was trying to find the intercept and the points diidtn mathc up
Step-by-step explanation:
you are playing a game you lose 4.8 points lose another 7.6 points and then win 2.5 points what is the overall change in your score?
Answer:
9.9
Step-by-step explanation:
Fists you have to choose a number, ex. 20. Then subtract 4.8 from 20 equalling 15.2, then subtract 7.2 from 15.2, which equals 7.6, then add 2.5 and get 10.1. When you have that final number you must subtract it from the starting number to find the change, 20 - 10.2 = 9.9
Select "Rational" or "Irrational" to classify each number
Answer:
rational
Step-by-step explanation:
I'm coochie man
(b) A solid metal cone has radius 1.65 cm and slant height 4.70 cm.
Calculate the volume of the cone.
Answer:
13.4
Step-by-step explanation:
πr2h
3
Answer:
12.5
Step-by-step explanation:
use pythag to find perpendicular height
then from that your answer should be 4.40cm
i'll mark u as brainliest
Answer:
y=x+40
Step-by-step explanation:
Better?
Answer: y = x + 40 (for the sake of this problem it’s y = 1x + 40)
calculate slope using y2-y1 / x2-x1
(2, 42) (3, 43)
43-42/3-2 = 1/1 so slope is 1
plug in a point to find b
y = x + b
42 = 2 + b
b = 40
y=x+40 final answer
Diego has $12 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $84 and begins spending $3 per week on supplies for her art class. Is there a week when they have the same amount of money? How much do they have at that time?
After_______weeks both Diego and Lin will have_____dollars
Answer:
$72
Step-by-step explanation:
Answer:
After ten weeks both diego and lin will have 57 dollars
Step-by-step explanation:
fp(x)=x2+2x-5 and g(x)=x-3, what is p(x) - 4(x)?
Answer:
1
Step-by-step explanation:
It's just 1
2 The outside temperature is -3°F and falling at a rate of 2 degrees per hour. What will the temperature be in 5 hours?
Answer:
-13
Explanation:
I did the math lol
What is the volume of a cylinder with a radius of 1.5 inches and a height of 19 inches? Use 3.14 for pi. Round your answer to the nearest hundredth.
Answer:
134.24 in³
Step-by-step explanation:
Use the formula for the volume of a cylinder, V = [tex]\pi[/tex]r²h
Plug in the radius, pi, and the height:
V = [tex]\pi[/tex]r²h
V = (3.14)(1.5²)(19)
V = 134.235
= 134.24 in³
So, the volume of the cylinder is 134.24 in³
Answer:
134.24 in³
Step-by-step explanation:
can anyone please help me
Find the equation of the line.
Use exact numbers.
Answer:
y=3/4x -2
Step-by-step explanation:
I know the last box has a plus sign in front of it but it's still -2 since the y- intercept is at -2. It's the same thing but I just wanted to make sure you knew that in the last box, you still put -2.
Sorry if what I just said above is confusing, i don't know how to explain it better...
Suppose 5,500 dollars is placed in a saving account how much money would be in the saving account after 5 years if the compound interest semiannually at a rate of 5% per year
Answer:
FV= $7,040.46
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $5,500
Number of periods (n)= 5*2= 10 semesters
Interest rate (i)= 0.05/2= 0.025
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1+i)^n
FV= 5,500*(1.025^10)
FV= $7,040.46
I NEED REAL HELP QUICKLY please
Answer:
hold on its its.............oh yeah 21
Answer:
b
Step-by-step explanation:
what is the equation of the line?
a. y= -1/2x+1/2
b. y= -2/1x+1
c. y= -1/2x+1
d. y= -2/1x+1/2
Answer:
A) y = -1/2x + 1/2
Step-by-step explanation:
Find the y-intercept(when x = 0), which is 1/2.
Find the slope: m = y2-y1 / x2-x1
I used points: (3, -1), (-3,2)
m = 2 - (-1) / -3 - 3
m = 3 / - 6
m = -1/2
plug this into the slope intercept form equation: y = mx + b
y = -1/2x + 1/2
One year ago, Lindsey deposited $250 into a savings account. Her balance is now $253. Two years ago, Jenn deposited $250 into a savings account. Her balance is now $257.50. Which account has the greater simple interest rate? Explain.
This is due at 2
Jenn's account has the greater simple interest rate
Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.
For Lindsey:
Lindsey simple interest was 1.2% annually
For Jenn:
Jenn simple interest was 1.5% annually
Therefore Jenn's account has the highest simple interest rate.
^^^^^^^^^^^^^^^^^^^^
"EamonnAdams1992"
Answer:
She has a higher interest rate
Step-by-step explanation:
Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.
Sample answer on edge ;)
The perimeter of an isosceles triangle is 15.6 cm. Find the lengths of its sides, if: The base is 3 cm smaller than a leg.
Answer:
The sides of the isosceles triangle are 3.2 cm, 6.2 cm and 6.2 cm
Step-by-step explanation:
The sides of an isosceles triangle are equal in length
Let the base be x cm
Since it is 3 cm smaller than a leg, the legs will be (x + 3) cm
To find the perimeter of a triangle, we add up the sides
x + x + 3 + x + 3 = 15.6
3x + 6 = 15.6
3x = 15.6 - 6
3x = 9.6
x = 9.6/3
x = 3.2 cm
So the base is 3 + 3.2 =6.2 cm
What is the inequality of this graph?
Answer: y < 3x -4
Step-by-step explanation:
We know two points of line: (0,-4) and (1,-1)
Therefore, we can find the slope: 3/1.
We know the y intercept.
Dashed line means the inequality is not apart of the region.
y < 3x-4
prove algebraically that n^2 -n is never an odd number when n>1
Answer:
See Below.
Step-by-step explanation:
We want to prove that:
[tex]n^2-n[/tex]
Is never an odd number when n>1.
We will have two cases. We can prove them for each case individually.
The Even Case: n is Even:
Let n be even. Then, we can rewrite n as:
[tex]n=2k[/tex]
Where k is any positive integer.
This is because twice of any integer is even, so n must be even.
Substitute this into our expression to acquire:
[tex]=(2k)^2-(2k)[/tex]
Square:
[tex]=4k^2-2k[/tex]
4 times anything is even. 2 times anything is also even. Therefore, our expression will stay even.
The Odd Case: n is Odd:
Let n be odd. Then we can rewrite n as:
[tex]n=2k-1[/tex]
Where k is any positive integer.
This is odd because twice of any number is even, but if subtracted by 1, it yields an odd number.
We will substitute this into our expression to acquire:
[tex]=(2k-1)^2-(2k-1)[/tex]
Square:
[tex]=(4k^2-4k+1)+(-2k+1)[/tex]
Simplify:
[tex]=4k^2-6k+2[/tex]
4 times anything is even. 6 times anything is even. And anything even added to 2 will still be even.
Therefore:
[tex]n^2-n[/tex]
Will never be an odd number when n>1.
Which point below is not on the graph
A.)(-13, 7)
B.)(-35, 1)
C.)(11, 5)
D.)(27, 3)
Answer:
It is B
Step-by-step explanation:
Because their isnt a square root fpr 51
Suppose that f(x)=3x+1....
Answer:
3
Step-by-step explanation:
f(x) = 3x+1
f(x+h) = 3(x+h)+1 = 3x+3h+1
f(x+h) - f(x)= 3x+3h+1-3x-1 = 3h
3h/h=3
PLEASE HELP ASAP
Write the slope-intercept form of an equation of the line that passes through the
given point and is perpendicular to the graph of the equation..
(-3, -2), y = x + 2 .
Answer:
y=-x-5
Step-by-step explanation:
Assignment
Yeshi is making Pork fing. He has only 300g of pork
So he have to adjust the ro recipe.
500g pork
150g tomatoes
100g butter
120ml water
45g green chilli
8og onion.
a How much of each of the other ingredients
should he use to make pork fing
Answer / Step-by-step explanation:
500g - 300g = 200 {200 ÷ 500 = 0.4} ---- 300g pork
0.4 × 150g = 60g tomatoes
0.4 × 100g = 40g butter
0.4 × 120ml = 48ml water
0.4 × 45g = 18g green chilli
0.4 × 8og = 3.2og onion
Please help if you can Thank you so much!
Answer:
Answers in explanations, hope they're correct!
Step-by-step explanation:
12. You will be using 0 gallons of gas when traveling 0 miles.
13. 20 gallons
14. (2,6)
15. You will package 15 dozens of cupcakes after 5 hours
Answer:
12: 0 miles uses 0 gallons of gas
13: 20 gallons
14: (1,3)
15: it takes 5 hours to make 15 dozen cupcakes
Step-by-step explanation:
13) 4 gallons for every 100 so multiple by 5 for 500
Four friends do yardwork for their neighbors over the weekend, earning $\$15$, $\$20$, $\$25$, and $\$40$, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $\$40$ give to the others?
Answer:
$15
Step-by-step explanation:
Let A, B, C and D represent the four friends respectively.
Given the following data;
Amount earned by A = $15
Amount earned by B = $20
Amount earned by C = $25
Amount earned by D = $40
Total amount earned = 15 + 20 + 25 + 40
Total amount earned = $100
For an equal ration, each friend should be given;
Each earnings = total amount earned/number of friends
Substituting into the equation, we have;
Each earnings = 100/4
Each earnings = $25
Hence, for D with $40, would become;
D = $40 - $25
D = $15
Therefore, D would give A $10 and give B $5.
what would the value of X be on this one?
Answer:
i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51
Step-by-step explanation:
Jim biked 2 3/4
miles on Monday and then 3 5/8 miles on Tuesday. How many miles did he bike in
total?
Answer:2 3/4+ 3 5/8= 6 3/8
Step-by-step explanation:
2 3/4= 2 6/8+3 5/8=5 11/8=6 3/8
What is the x-intercept of the line?
Answer:
x- incept = 14
Step-by-step explanation:
Take any two points and find the slope.
(-94 , 24) & (-74 , 18)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ = \frac{18-24}{-74-[-94]}\\\\=\frac{18-24}{-74+94}\\\\=\frac{-6}{20}\\\\=\frac{-3}{10}\\[/tex]
(-94 , 24) and m = -3/10
Equation of the line:
[tex]y-y_{1}=m(x- x_{1})\\\\y - 24 =\frac{-3}{10}(x - [-94])\\\\y-24 =\frac{-3}{10}(x + 94)\\\\y-24=\frac{-3}{10}x + 94*\frac{-3}{10}\\\\y-24 = -0.3x- 28.2\\\\ y = -0.3x - 28.2 + 24\\\\ y = -0.3x - 4.2[/tex]
At x-intercept y = 0
0 = -0.3x - 4.2
4.2 = - 0.3x
4.2/-0.3 = x
14 = x
x- incept = 14