Answer:
the time period is 9 years
Step-by-step explanation:
The computation of the number of years is as follows:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
$49,000 = $38,000 × (1 + 0.03)^number of years
$49,000 ÷ $38,000 = 1.03^number of years
tlog(1.03) = log($49 ÷ $38)
Now apply the log formula in calculator or in excel
t = log(49 ÷ 38) / log(1.03)
= 8.6
= 9 years
Hence, the time period is 9 years
if k(x)=x²-4 find k(2x)
1 -4
2-x²
3-2x²-4
4-4x²-4
Answer:
4. 4x² - 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
k(x) = x² - 4
k(2x) is x = 2x
Step 2: Evaluate
Substitute in x: k(2x) = (2x)² - 4Exponents: k(2x) = 4x² - 4For history class, Joe spent 2 hours writing a 4-page report on ancient Egypt. This weekend, he needs to write a 12-page report on the Roman Empire.
If he writes at the same rate, how long will it take Joe to write his report?
Answer:
2hours/4pages
2/4=1/2
1/2=x/12
cross multiply
12=2x
divide by 2 both sides
6=x
6 hours
Answer:
the answer is 6
Step-by-step explanation:
5
Mo spends of his pocket money on a present for his sister.
He gives of his pocket money to charity.
What fraction of his pocket money does he have left?
You may use the fraction strip to help you.
love shot
Step-by-step explanation:
1x24 minus 1 and that is good
hope it helps
The temperature on Sunday was 45 degrees. The next day the temperature dropped by 13 degrees. What is the temperature the next day" *
Answer:
The answer is 32 degrees
Step-by-step explanation:
45 minus 13 equals 32
1. (a) Let A = 1, 3, 5, 7 and B = X : X is the first three multiple of 7 . Find (A−B).
(b) Find the remainder when f (x)=3x^3 −11x−48 is divided by x−1 .
(c) Let f (x)= x3 , g(x)= x+5. Find (f •g)(x)
(d) Find the derivative of y = 3+ x^2+ x^3y^3.
Answer:
a) A-B = { 1 , 3, 5 }
b) The remainder is 50
c) f + g)(x) = x⁴+ 5x³
d) [tex]\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}[/tex]
Step-by-step explanation:
Step(I):-
1) a)
Let A = { 1, 3, 5, 7 } and B = { 7 , 14 , 21 }
A - B = {1,3,5,7} - { 7,14,21}
A - B = { 1 , 3, 5}
b)
Given f (x)=3x³−11x−48
x-1 ) 3 x³ - 11x -48 (- 3x²-3x -2
-3x³ +3x²
3x²-11x-48
-3x²+9x
2x -48
-2x +2
50
The remainder is 50
c) Given f(x) = x³ and g(x) = x + 5
(f. g)(x) = f(x) .g(x) = x³ . (x+5) = x³(x) + 5 x³ = x⁴+ 5x³
d)
Given function y = 3 + x²+x³y³ ...(I)
By using derivative formulas
y = xⁿ
[tex]\frac{dy}{dx} = n x^{n-1}[/tex]
Apply d/dx ( UV) = U V¹ + V U¹
Differentiating equation (I) with respective to 'x' , we get
[tex]\frac{dy}{dx} = 0 + 2x + ( x^3 3y^2(\frac{dy}{dx} )+ y^3(3x^2))[/tex]
[tex]\frac{dy}{dx} - ( x^3 3y^2(\frac{dy}{dx} )= 2x- y^3(3x^2))[/tex]
[tex]\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}[/tex]
Using the binomial theorem, expand the expression (4 + y) to the power of 4
Answer:
When raised to the power of 4, the binomial (4 + y) expands to:
[tex]y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]
Step-by-step explanation:
[tex](4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]
I give 20! Find the surface area. And without explanation please, I don’t have enough time.
Answer:
816 cm²
Step-by-step explanation:
Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.
✔️Surface area of the larger rectangular prism:
Area = L*W*H = 20*5*6 = 600 cm²
✔️surface area of the smaller rectangular prism:
Area = L*W*H = 12*4*6 = 288 cm²
✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.
Area = L*W = 12*6 = 72 cm²
Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².
What investment/savings options has the greatest risk?
Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?
Which one is it? GCF(greatest common factor) LCM (least common multiple).
Answer:
GCF
Step-by-step explanation:
Answer: The largest number of snack bags she could make is 5
Step-by-step explanation:
20/5=4 apples
35/5=7 crackers
In each bag she will place 4 apples and 7 crackers
Find the solution to the system
5x+4y=-34 and y=3x
Answer:
x = -2 ; y = -6
Step-by-step explanation:
Let y = 3x be eqn.1
So putting eqn.1 in 5x + 4y = -34 gives ,
[tex]5x + 4y = - 34[/tex]
[tex] = > 5x + 4(3x) = - 34[/tex]
[tex] = > 5x + 12x = - 34[/tex]
[tex] = > 17x = - 34[/tex]
[tex] = > x = \frac{ - 34}{17} = - 2[/tex]
Putting the value of x in eqn.1 gives :-
[tex]y = 3x = 3 \times ( - 2) = - 6[/tex]
if I have a 15 gallon tank what percentage is in tank if it only takes 12 gallons to fill it
Step-by-step explanation:
12/15 * (100%)
= 4/5 * (100%)
= 4 * 20%
= 80%
Please gimme brainliest
is 1/3, 7/21 proportion
Answer:
1/3
Step-by-step explanation:
de acuerdo con la siguiente figura calcula el ancho del río y la distancia del árbol a la lancha.
What is the slope of the line containing the ordered pairs (5,-3) and (-2,-3)
Answer:
0
Step-by-step explanation:
Use the slope formula: m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{-3+3}{-2-5}=\frac{0}{-7} =0[/tex]
The slope of the line is 0.
Type the correct answer In each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 - 4i
Equation B (x + yi) - (-6 + 14i) = 18 + 2i
In equation A, x =
and y =
In equation B, r =
and y =
9514 1404 393
Answer:
A: x = -1 and y = 3
B: x = 12 and y = 16
Step-by-step explanation:
In each case, you can add the opposite of the constant to find the variable.
Equation A
(x +yi) +(4 -7i) = (3 -4i)
(x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides
x +yi = (3 -4) +(-4-(-7))i = -1 +3i
x = -1 and y = 3
__
Equation B
(x +yi) -(-6 +14i) = (18 +2i)
(x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides
x + yi = (18 -6) +(2 +14)i = 12 +16i
x = 12 and y = 16
Answer:
In equation A: x=-1 and y=3
In equation B: x=12 and y=16
Step-by-step explanation:
Three friends are participating in a
charity run. Joy ran 6.8 miles, Simón ran
5.5 miles, and Kita has run 8.4 miles.
Part A
Complete the bar diagram to find the
total distance the friends have run.
Part B
If each friend ran the same distance of
the charity run, how many miles would
each friend run? Complete the bar
diagram to help you
Part C
It took Simón 33 minutes to run
5.5 miles. Did he run faster or slower
than 1 mile every 5 minutes? How can
you tell?
Answer:
Part A. 20.7
Part B. 6.9, 6.9, 6.9
Part C. Slower. 33/5.5= 6. 6 minutes is greater than 5 minutes so Simon ran slower than 1 mile every 5 minutes.
Step-by-step explanation:
55% means 55 out of 100. Write 55% as a fraction in simplest form. Is it 55/100 plz give me an explanation.
PLEASE HELP ME THIS IS URGENT!! THIS IS ACC MATHEMATICS!! Please I need to turn this in
Help pleasseeeee!!!!!!
Answer:
i think C sorry if wrong
i need help with this please
Answer:
31/8
Step-by-step explanation:
A supervisor records the repair cost for 17 randomly selected VCRs. A sample mean of $68.83 and standard deviation of $12.17 are subsequently computed. Determine the 80% confidence interval for the mean repair cost for the VCRs. Assume the population is approximately normal.
Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
27
Step-by-step explanation:
im smart
which one of these is a rational number
A. square root of 9/2
B. square root of 13/16
C. square root of 34
D. square root of 49
A motocross ramp is 16 feet tall and 24 feet long what is the slope of the ramp
How to I write 1 2/3 as an improper fraction help ASAP
When performing a Translation to a segment. What will be the change between the pre-image and the image? (HELP I need this done by 5 Minutes.)
Sandra rode her bike 9 1/3 miles on Monday and 6 4/5 miles on Tuesday how many miles did Sandra walk in both days
Answer:
2 8/15
Step-by-step explanation:
Complete the table by using your knowledge of the formula for simple interest.
Answer:
that look hard
Step-by-step explanation:
thx for helping me get smart and learing my math ava :D
Answer:
NICEE
Step-by-step explanation:
PLZ ANSWER IF U KNOW THE ANSWER
Answer:
AEF
Step-by-step explanation:
NOT B
Molly shared a spool of ribbon with 12 people. Each person received 3 feet of ribbon. Which equation can she use to find
r, the number of feet of ribbon that her spool originally had?
Answer: R/12=3
Step-by-step explanation: This is because / = divide so since we need to divide then multiply its better you go with /
Answer:D
Step-by-step explanation: