Your principal amount is $450 your interest rate is 6% and your time is 8 years what is your interest earned after eight years what is your new total amount earned after 8 years
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal= $450
Number of periods= 8 years
Interest rate= 6%
We will determine the interest earned and future value using simple interest and compound interest:
Simple interest:
I= P*r*t
I= 450*0.06*8= $216
Total Future Value= I + P
Total Future Value= 216 + 450= $666
Compound interest:
I= [P*(1+r)^t] - P
I= [450*(1.06^8)] - 450= $267.23
Total Future Value= P*(1+r)^t
Total Future Value= 450*1.06^8
Total Future Value= $717.23
Answer:
Step-by-step explanation:
6
Correct answers only please!
Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
A = $ 7,299.92
A = P + I where
P (principal) = $ 6,000.00
I (interest) = $ 1,299.92
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Why is -1 3/10 as an improper fraction -13/10? Wouldn’t it be -7/10 because -1 * 10 + 3 is -7/10?
Answer:
-13/10
Step-by-step explanation:
It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.
(x−4) (x-4) is subtracted from 10x
Answer:
18x - x^2 - 16
Step-by-step explanation:
10x - ((x - 4) (x - 4))
10x - (x - 4)^2
10x - (x^2 - 2x · 4 + 4^2)
10x - x^2 + 2x · 4 - 4^2
10x - x^2 + 8x - 16
(10x + 8x) - x^2 - 16
18x - x^2 - 16
A teacher spends $25.00 at a store for a pens and y notebooks. The store charges $2.50 for every pen and $5.00 for each notebook.
Which graph represents the situation
Answer:ok so yes the answer is the one you selected because 25.00 devided by 2.50 is 10 and 5 devided by 25 is 5 or you could go like 2.50 times 10 is 25 and 5 times 5 would be 25
Step-by-step explanation:10 pens to 5 notebooks
To the nearest tenth, which is the perimeter of △ABC
Answer:
My best guess is 24
Step-by-step explanation:
idk if this is right or not, but the triangle could be a 3 4 5 right triangle.
3 x 2 = 6
4 x 2 = 8
5 x 2 = 10.
6 + 8 + 10 = 24
this is the best answer i got. Don't know if it's going to help...
1) Identify the percent of change as an increase or a decrease and find the percent of change. 50 meals to 75 meals.
Answer:
increase of 50%
Step-by-step explanation:
its increasing cuz 75 is more than 50 and its 50% cuz 75-50 is 25 so you know it increased by 25 meals so you need to find what percent 25 is of 50 and 25 is 50% of 50
Answer:
50%
Step-by-step explanation:
half of 50 is the same as 50% of 50
so...
25 = 50% of 50
therefore...
50 + 25 is the same as 50 + 50%
hope this helps
Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away. Zhang leaves the store when aaron starts riding his bike, and he rides his bike toward aaron along the same road at 2 mi/h. How many hours will pass before they meet?.
2 hours will pass before they meet.
"Information available from the question"
In the question:
Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away.
Zhang leaves the store when Aaron starts riding his bike, and he rides his bike toward Aaron along the same road at 2 mi/h.
Now, According to the question:
Total distance = 20mi
Aaron starts riding a bike at a rate of = 3mi/h
Zhang rides his bike toward Aaron along the same road at = 2mi/h
Let y be the number of hours for them to meet.
The expression is given as
3y + 2y = 20
solving for y, we have
5y = 20
y = 20/5
y = 4hrs
Therefore, 2 hours will pass before they meet.
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\(\frac{z+5.1}{2}\) = 0.6
Answer:
z= -3.9Step-by-step explanation:
\(\frac{z+5.1}{2}=0.6 \\\\\mathrm{Multiply\:both\:sides\:by\:}2\\\frac{2\left(z+5.1\right)}{2}=0.6\cdot \:2\\\\Simplify\\z+5.1=1.2\\\\\mathrm{Subtract\:}5.1\mathrm{\:from\:both\:sides}\\z+5.1-5.1=1.2-5.1\\\\Simplify\\z=-3.9\)
Write an equation of proportionality: Sue traveled 1200 miles in 4 hours. *
Answer:
1200 ÷ 4 = 300
Step-by-step explanation:
I need help fast please
About 8% of canada is covered in fresh water
the area of canada is approximately 9,970,000km
a calculate the area covered in fresh water
b how much of canada is not covered in fresh water
23%of canada is covered in tundra estamaite tundra covered area
thanks
Answer:
797600km, 9172400 km, 2293100 km
Step-by-step explanation:
a. to find the amount of canada covered in fresh water, multiply 9970000 by 0.08 to get 797600km
b. the amount not covered by fresh water is 9970000-797600 which equals 9172400 km
c. multiply area of canada by 0.23 which is 2293100 km
just in case you might want to double check the zeros to make sure i did it right
Answer:
a. 797,600 km²
b. 9,172,400 km²
c. 2,293,100 km²
Step-by-step explanation:
To find a percent of a number, multiply the percent by the number. First, change the percent into a decimal number by moving the decimal point of the percent 2 places to the left. For example, 42% = 0.42; 7% = 0.07
Part a.
8% of 9,970,000 km²
Step 1. Multiply the percent by the number
8% of 9,970,000 km² = 8% × 9,970,000 km²
Step 2. Change the percent into a decimal number by moving the decimal point of the percent 2 places left.
8% of 9,970,000 km² = 8% × 9,970,000 km² = 0.08 × 9,970,000 km²
Step 3. Use a calculator or long division to do the multiplication.
0.08 × 9,970,000 km² = 797,600 km²
Answer: a. area covered in fresh water is 797,600 km²
Part b.
Subtract the area of part a. from the total area of Canada.
9,970,000 km² - 797,600 km² = 9,172,400 km²
Answer: b. area not covered in fresh water is 9,172,400 km²
Part c.
Tundra is 23% of total area.
23% of 9,970,000 km²
Step 1. Multiply the percent by the number
23% of 9,970,000 km² = 23% × 9,970,000 km²
Step 2. Change the percent into a decimal number by moving the decimal point of the percent 2 places left.
23% of 9,970,000 km² = 23% × 9,970,000 km² = 0.23 × 9,970,000 km²
Step 3. Use a calculator or long division to do the multiplication.
0.23 × 9,970,000 km² = 2,293,100 km²
Answer: a. area covered in tundra is 2,293,100 km²
9. If m ABZ = m_ZBC Then Ray BZ is called А Z B с MLABZ + m_ZBC = M LABC O Adjacent Congruent Midpoint Angle Bisector Oline segment BZ Clear selec
What number will be multiplied to give -100 and be added to give 8
Answer:
? whats the number your multiplying by
Step-by-step explanation:
Answer:
-12.5
Step-by-step explanation:
Hope it helps
FOLLOW MY ACCOUNT PLS PLS
What is the decimal multiplier to increase by 6. 1%?
Answer: 1.061
Step-by-step explanation:
1). Based on conditions, formulate: 1+6.1%
2). Then convert to a decimal: 1.061
A:B is equivalent to 11:5.
Answer:
yeeeeee
Step-by-step explanation:
NEED HELP URGENT! WILL GIVE BRAINLEST!!__
Ken has a six sided die. He rolls the die, and if the result is not even, he rolls the die
one more time. Find the probability that he ends up with an even number.
Answer:
1/2
Step-by-step explanation:
The first time he rolls the dice, he has a 1/2 chance of getting an even number, since half the numbers are even. The second time he rolls, that probability doesn't change, because it doesn't depend on the first roll. If the question was asking, what is the chance he rolls evens twice, the answer would be 1/4 because the 1/2 probability would be multiplied by 2, but in this case, the probability won't change.
Solve for x; Then find the length of PM AND OM
Answer:
\(x=12\), PM = 27, OM = 54
Step-by-step explanation:
To find x, we can notice that MP is similar to OP. Therefore, we can create an equation:
\(2x+3=4x-21\)
\(2x-4x=-21-3\)
\(-2x=-24\)
\(x=12\)
To solve for PM, we can plug in x from \(2x+3\):
\(2(12)+3\)
= 27
To solve for OM, we will need to add OP and PM values and plug in x:
\(4x-21+2x+3\)
Plug in x:
\(4(12)-21+2(12)+3\)
= 54
factorise:
a) 2y^3-4y^2-2y+4
b) 2x^2+7x+3
Answer:
b) 2x^2 + 7x + 3
= 2x^2 + 6x + 1x + 3
= 2x(x + 3) + 1(x + 3)
= (2x + 1) (x + 3)
Need help please show work
Answer:
Add the lengths:
5x - 16 + 2x - 4 = 7x - 20
Find the value of x.
(3x - 2)°
(10x - 11)
(3x + 1)
X=
Uh yes I’m sorry I am just trying to get answers
How do I graph this???
Answer:
See the image for answer.
Step-by-step explanation:
I solved this on my calculate. Hope this helps!!!
Determine the coefficients of the complex exponential Fourier series of the following signals: (i) x(t) = 1 + cos(2t) + cos(8t + π/2) (ii) x(t) = 2 sin(t) + 3 cos(3t+ π/3)
The complex exponential Fourier series of a signal can be determined by computing the coefficients A₀ and Aₙ.
For (i), the complex exponential Fourier series is given by:
X(ω) = A₀ + ∑[Ancos(nωt + φn) ], where
A₀ = 1/2
Aₙ = (1/2)[cos(2nπ/8) + cos(2nπ/8 + π/2)]
For (ii), the complex exponential Fourier series is given by:
X(ω) = A₀ + ∑[Ancos(nωt + φn) ], where
A₀ = 1
Aₙ = (2/2)[sin(nπ/3) + 3cos(nπ/3 + π/3)]
In conclusion, the complex exponential Fourier series of a signal can be determined by computing the coefficients A₀ and Aₙ. This technique can be used to analyze any periodic signal or system and is invaluable in signal processing, communications, and control engineering.
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8x+y= -16
-3x+y= -5
Elimination Hard. Write the System of Equations in Section #5 on your lined paper.
Multiply one of the equations by a (-1), so that the coefficients in both equations will be opposites.
- Solve the System of Equations using Elimination.
Enter your answer as (___,___)
Answer:
dude i have the same question
Step-by-step explanation:
WHAT IS THE ANSWER
PLS, THIS WAS LATE DUE! BRAINLIST!
ANSWER THIS I NEED TO SUBMIT IT! IT WAS DUE MARCH 27!
The formula you will need in order to solve this question is \(2(wl+hl+hw)\)
Step 1: Consider the information that has been provided to you in the problem.
W = 4
L = 8
H = 6
Step 2: Substitute the width, length, and height into the formula provided.
2(4×8+6×8+6×4)
Step 3: Solve.
2(4×8+6×8+6×4) = 208
With that being said, the answer to your question is 208 cm.
IF YOU SOLVE THIS CORRECTLY WITH EXPLANATION U WILL GET BRAINILEST
-2r(8r+5)
Answer:
-16r^2 - 10r
Step-by-step explanation:
To simplify the expression -2r(8r+5), you can use the distributive property of multiplication over addition.
-2r(8r+5) = -2r * 8r - 2r * 5
First, let's simplify -2r * 8r:
-2r * 8r = -16r^2
Next, let's simplify -2r * 5:
-2r * 5 = -10r
Putting it all together, the simplified expression is:
-2r(8r+5) = -16r^2 - 10r
.
Charlie has 6 more quarters than dimes in a jar and a total of $9.20. Which system of
equations can be used to determine the number of each type of coin Charlie has if
q=the number of quarters and d = the number of dimes?
Answer:
Addition.
Step-by-step explanation:
you can just use that to figure out how many coins he has. he has a 1.75 add 9.20 and i think thats your answer
Find the component form of u v given the lengths of u and v and the angles that u and v make with the positive x-axis. u = 5, u = 9 v = 1, v = 5
The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:
\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)
where |v| is the magnitude of the vector component and theta is the angle of the vector.
Using the magnitude and angle given for vector u we can write its component form :
\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)
Doing the same for v
\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)
Now adding both vector together
\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)
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yeah i’m really not sure what the answer is to this one
Equations with Fractions
Can someone please show me how to work this question out. Im really stuck. Thanks.
\(\cfrac{1}{2}(1-x)-\cfrac{1}{3}(2+x)+\cfrac{1}{4}(3-x)=1 \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{1}{2}(1-x)-\cfrac{1}{3}(2+x)+\cfrac{1}{4}(3-x) \right)~~ = ~~12(1)} \\\\\\ 6(1-x)-4(2+x)+3(3-x)=12\implies 6-6x-8-4x+9-3x=12 \\\\\\ 7-13x=12\implies 7=13x+12\implies -5=13x\implies \cfrac{-5}{13}=x\)
Which of the following is not a solution to sin x − cos 2x = 0 on the interval [0, 2π)? A. pi over 6
B. pi over 2
C. 5 times pi over 6
C. 3 times pi over 2
None of the given options (A, B, C, or D) is a solution to sin x − cos 2x = 0 on the interval [0, 2π).
What is solution of a trigonometric equation ?The solution of any trigonometric equation represents the value of the parameter which satisfies the given equation. The solution should lie within a given range and it should have the same value as ±π .
To find the solutions to sin x − cos 2x = 0 on the interval [0, 2π), we can start by using the identity cos 2x = 1 - 2sin² x, which gives:
sin x - (1 - 2sin² x) = 0
Simplifying this equation, we get:
2sin² x - sin x + 1 = 0
We can solve this quadratic equation using the quadratic formula:
sin x = [1 ± √(1 - 8)] / 4
sin x = [1 ± √(-7)] / 4
Since the square root of a negative number is not a real number, this equation has no real solutions. Therefore, none of the given options (A, B, C, or D) is a solution to sin x − cos 2x = 0 on the interval [0, 2π).
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