Answer:
The answer is "$238".
Step-by-step explanation:
Current worth[tex]= \$ 17,000[/tex]
depreciates by [tex]\frac{1}{2}[/tex] in 3 years.
time= 19 years
depreciates rate=?
Using formula:
[tex]\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}[/tex]
[tex]\to A_t=A_0(1-\frac{r}{100})^t[/tex]
calculates depreciate value in 3 year [tex]= \frac{1}{2} \times 17,000[/tex]
[tex]= 8,500[/tex]
so,
[tex]A_t=8,500\\\\A_0=17,000\\\\t=3\ years[/tex]
[tex]\to A_t=A_0(1-\frac{r}{100})^t\\\\\to 8,500= 17,000(1-\frac{r}{100})^3\\\\\to \frac{8,500}{17,000}= (1-\frac{r}{100})^3\\\\\to \frac{1}{2}= (1-\frac{r}{100})^3\\\\\to (\frac{1}{2})^{\frac{1}{3}}= (1-\frac{r}{100})\\\\\to 0.793700526 = (1-\frac{r}{100})\\\\\to \frac{r}{100} = (1-0.793700526)\\\\\to \frac{r}{100} = (1-0.8)\\\\\to r= 0.2 \times 100 \\\\\to r= 20 \%[/tex]
depreciates rate= 20%
[tex]\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}[/tex]
[tex]= \$ 17,000 (1- \frac{20}{100})^{19}\\\\= \$ 17,000 (1-0.2)^{19}\\\\= \$ 17,000 (0.8)^{19}\\\\= \$ 17,000 \times 0.014\\\\= \$ 238[/tex]
Answer:
200
Step-by-step explanation:
Halving Formula:
y=a\left(\frac{1}{2}\right)^{\frac{t}{h}}
y=a(
2
1
)
h
t
a=17000\hspace{40px}h=3\hspace{40px}t=19
a=17000h=3t=19
h is the halving time
\text{Plug in:}
Plug in:
y=17000\left(\frac{1}{2}\right)^{\frac{19}{3}}
y=17000(
2
1
)
3
19
y=210.826702215
y=210.826702215
y\approx 200
y≈200
Joquan's brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold 9900 worth of shoes. How much was his commission
Answer:
His commission was $247.50
Step-by-step explanation:
Percentage
Joquan's brother earns a 2.5% commission on the amount he sells.
Last week, he sold $9,900 worth of shoes, thus his commission will be calculated as follows:
2.5% of $9,900 = 2.5 *$9,900 / 100 = $247.50
His commission was $247.50
hallar la medida del angulo "y"
Answer: y = 11.25
Step-by-step explanation:
Mi espanol es terrible :l
Todos los angulos terminaran acompletando 90° grados
Entonces hagamos una ecuacion
3y + 4y + y = 90
8y = 90
Divide por 8
y = 11.25
Esta parte no es necesaria
Para ver si es verdad hagamos el math
3(11.25) = 33.75
4(11.25) = 45
y = 11.25
33.75 + 45 + 11.25 = 90
Joshua goes to a local farmers market and see sinuses apples $9.80 per 10 pound bag which is a unit rate of the price per pound
Answer:
$0.98
Step-by-step explanation:
Given data
Cost of sinuses apples = $9.8 for 10 pound
We want to find the cost per pound
Hence
if 10 pounds cost $9.8
1 pound will cost x
cross multiply
x= 9.8/10
x= $0.98
Hence a pound will cost $0.98
Find x.
2x + 40
3x
4x
X + 50
x= [?]
I
Enter
Answer:
[tex]x = 27[/tex]
Step-by-step explanation:
A shape exterior angles add up to 360.
All of these angles are exterior angles so we can add up all of them to and set it equal to 360 to find x.
[tex]3x + 4x + 2x + 40 + x + 50[/tex]
[tex]10x + 90 = 360[/tex]
[tex]10x = 270[/tex]
[tex]x = 27[/tex]
Erika write the following word expression on the board: The quotient of 24 and k. Write an algebraic expression for the word expressions. THEN evaluate (solve) the expression for k = 3
Answer:
a) x=24/k
b) x=24/3
x=8
Step-by-step explanation:
Quotient meant division and you are trying to find the quotient (x) so you divide 24 by 3 to get 8
1.Write 0.50 as a fraction
2.Is 7.199 greater than or less than 7.104
3.Solve: 3x (4+1) - 5 =
Answer:
1) 50/100
2)greater
3)10
Answer:
Step-by-step explanation:
1) 0.50=50/100=5/10=1/2
2) 7.199>7.104 (greater than)
3) 3x(4+1)-5=3(5)-5=15-5=10
What is a number that when you multiply it by 3 and subtract 2 from the product, you get 37?
Step-by-step explanation:
3n -2 =37
3n = 39
n = 13
hope this helps
If f(x) = 3x - 15, what is f(4)?
A. 3
B. -3
c. 12
D. -8
Answer:
B. -3
Step-by-step explanation:
f(x) = 3x - 15
f(4) means x=4, so you want to plug 4 into the equation.
f(4) = 3(4) - 15
f(4) = 12 - 15
f(4) = -3
Answer:
B
Step-by-step explanation:
f(4) has the same meaning (for this question ) as x = 4
Let x = 4
f(4) = 3*4 - 15
f(4) = 12 - 15
f(4) = - 3
B
HELP I WILL GIVE BRAINLIEST
Write an equation using slope intercept form when m=4 and b=12
Answer:
y = 4x + 12
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
since you're given the values for m and b, all you need to do is plug those into the equation for slope-intercept form.
plug in 4 for m.
y = mx + b ⇒ y = 4x + b
plug in 12 for b.
y = 4x + b ⇒ y = 4x + 12
it doesn't matter which one you plug in first as long as you plug the value in for the correct variable.
the equation of your line in slope-intercept form is y = 4x + 12. i hope this helps! have a great day <3
2. Which of the following is the correct interpretation of confidence interval? (circle one)
a. If the same experimental process is done on many samples, with a given percentage certainty,
the population parameter will fall within a calculated range.
b. When many different processes are done on the same sample, with a given percentage certainty,
the population parameter will fall within a calculated range.
c. If the same experimental process is done on many samples, with a given percentage certainty,
each sample will determine its own calculated range with a given percentage certainty
3. In a certain study, a population parameter is predicted to be in the interval (42, 60) at a 95% confidence
level. What is a reasonable confidence interval if the confidence level is adjusted to 98%
Explain your answer.
Solving One-Step Equations
Compute:
x = 10 = 8
Answer:
x = 2
Step-by-step explanation:
x = 10 = 8 | Given expression
x = 2 | Subtraction property of equality (Subtract 8 from 10.)
7x - 8 = 41 what does x equal to
Answer:
7
Step-by-step explanation:
41+8=49 49/7=7
Answer:
Step-by-step explanation:
7x-8=41, add 8 to both sides
7x=49, divide both sides by 7
x=7
Victoria is going to invest in an account paying an interest rate of 1.5% compounded quarterly. How much would Victoria need to invest, to the nearest hundred dollars, for the value of the account to reach $3,300 in 13 years?
Answer: P = 2716.3448786 or about 2700
Step-by-step explanation:
The amount that need to invest, to the nearest hundred dollar is to be considered as the 2,700.
Calculation of the amount:Since
The interest rate be like = 1.5% = 1.5% / 4 = 0.38%
The time period = 13 * 4 = 52
The future value = $3,300
The PMT is = $0
Now the following formula is used;
So,
= -PV(RATE,NPER,PMT,FV,TYPE)
After applying it, the present value should be $2,700
Learn more about rate here: https://brainly.com/question/24546293
Name
Date
8. The graph below represents the number of containers and liters of water
contained in the containers. What is the constant of proportionality?
60
Water (liters)
10 15 20
Number of Containers
25
I
I
9. The graph below represents the number of mennte that
What is the range of the function y-e*+1 graphed below?
5
4
3
2
1 +
--5
-4
-2-11
1 2 3
4 5
9 9 9 9
y > 0
Ny CD
yal
Answer:
2
Step-by-step explanation:
What is 4x^3 over 5 to the power of 2
Answer:
what does ^3 mean i fg *i am going to edit my answer
Step-by-step explanation:
Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. The following expression shows the amount of money that will be in the account x weeks after Mason opens it.
165.85 + 20.5x
How much money will be in the account after 10 weeks?
After 10 weeks, there will be $
in the account.
Answer:
370.85
Step-by-step explanation:
Six more than twice a number is greater than negative fourteen. Solve the inequality for the unknown number
Answer:
Step-by-step explanation:
2x+6 > -14
Subtract 6 from both sides
2x > -20
Divide both sides by 2
x > -10
The solution of the inequality 2x + 6 > - 14 will be greater than the negative 10.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Six more than twice a number is greater than negative fourteen.
Let x be the number. Then the equation will be
2x + 6 > - 14
Simplify the inequality, then the value of x will be
2x > - 20
x > - 10
The solution of the inequality 2x + 6 > - 14 will be greater than the negative 10.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
I need answer ASAP: You are running a fuel economy study. One of the cars you find is blue. It can travel 40 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 22 2/5 miles on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on of gasoline?
Answer:
Blue: 32.4 mpg
Red: 28 mpg
The Blue car will travel farther on a gallon of gasoline
Step-by-step explanation:
Blue: 40.5/1.25=32.4 mpg
Red: (22 2/5)/(4/5) =22.4/0.8=28 mpg
i need help pls!!!!!!!!
Solve for x
(5x-1) 8x
Consider the quadratic expression given below.
4x^2 + 8x -60
Factor the following expression completely.
Find the area of the figure.
Simplify 3x^2y^3•x^4y
Answer:
Step-by-step explanation:
3x²y³·x⁴y = 3x²x⁴y³y = 3x²⁺⁴y³⁺¹ = 3x⁶y⁴
Can you help me on quadratic formulas?
I take it as you want to learn about the formula.
The quadratic formula is a formula where you can solve x for any quadratic equation in form ax^2+bx+c=0.
The formula is x= [tex]\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex].
The +- means + or - for the 2 solution in each equation.
*All above information is what you need to know about the quadratic formula and solve for answer, but I will go a step further in my answer to prove the quadratic formula always work.
[tex]0=ax^2+bx+c[/tex]
[tex]0=(ax+\frac{b}{2})^2-\frac{b^2}{4}+c[/tex] (This step is completing the square)
[tex](ax+\frac{b}{2})^2=\frac{b^2}{4}-c[/tex]
[tex](2ax+b)^2=b^2-4ac[/tex]
[tex]2ax+b=+or-\sqrt{b^2-4ac}[/tex]
[tex]2ax=-b+ or -\sqrt{b^2-4ac}[/tex]
[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]
This is my way of proving this formula although there are many other ways to do it too, if there is any questions, feel free to ask me in the comment :-).
Paul plans to buy a movie that has a regular price of $19.99. It is on sale for 25% off, but Paul will have to pay 6% sales tax. Which is the MOST reasonable estimate of the total cost of the movie including tax?
A $14:00
B $15:00
C $16:00
D $17:00
Answer:
$16.00
Step-by-step explanation:
19.99 x .75 = 14.9925
14.9925 x 1.06 = 17.89205
1/2 gallon of apple cider is $2.80. What is the price per ounce ?
Answer:
35 cents
Step-by-step explanation:
If this answer helped you then please consider liking this and marking it as brainliest :)
Y - 0.8x = 0.5
5y - 2.5 = 4x
*Substitution
ANSWER CORRECTLY WITH SHOWN WORK, PLEASE AND HURRY!!
Answer:
[tex]y=\frac{5+8x}{10} , x=x[/tex]
Step-by-step explanation:
y-0.8x=0.5
y*10-0.8x*10=0.5*10
10y-8x=5
10y-8x+8x=5+8x
10y/10=5/10+8x/10
y=5+8x/10
5*5+8x/10-2.5
8x+5/2-2.5=4x
y=5+8x/10, x=x
whats is x − 2 /3 = 1 5 /6??