Answer: C
Step-by-step explanation:
a loan of 38000 is made of 3% interest, compounded annualy. after how many years will the amount due reach 49000 or more
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
What is the quotient of 4/5 divided by 17/9
Answer:
0.42352941176
Step-by-step explanation:
hope this helps
The value of quotient will be 0.42.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
''4/5 divided by 17/9''
Now,
Since, The expression is,
''4/5 divided by 17/9''
Hence, After solving we get;
⇒ 4/5 ÷ 17/9
⇒ 4/5 × 9/17
⇒ 36/85
⇒ 0.42
Thus, The value of quotient = 0.42
Learn more about the divide visit:
brainly.com/question/844312
#SPJ2
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]
Which sets of angles sum to 180
Answer:
All of them
Step-by-step explanation:
Please help
9/5= ?÷?
19/28=?÷?
1 3/5=?÷?
the “/“ sign means division, what kind of question even is this.
9/5= 9÷5
19/28=19÷28
So for the last one, we can turn it into an improper fraction which is:
8/5 = 8÷5
Picture attached - Two Column Proof - NEED HELP PLS PLS PLS WILL MARK BRAINLIEST
Answer:
hmm its would be o
Step-by-step explanation:
its O
to sacrifice my own life for pakistan
Answer:
yes.
Step-by-step explanation:
r these just free points?
If you guess what my name is you get brainliest
A. John
B. Cam
C. Daniel
D. Dickface
E. Seth
F. Taylor
G. Anna.
H. Beth
I. Nerd face.
Answer:
Taylor???????????........
Answer:
I. Nerd Face
Step-by-step explanation:
I need asap!!!brainliest for best answer
Answer:
D
Step-by-step explanation:
the answer is D ok so u see how she jsbdjdbd
please help me with this one :(
Answer:
I can assure you, that this is not that hard. but. I will help you with one of them.
Step-by-step explanation:
audience-look it up in the dictionary
it's basically a crowd of people.
sebtence- I listened to the audio of the audio book.
Starting with 2, and i count by 8s until I reach 82, and 82 is the Nth number, what is the value of N?
Answer:
11 is N
Step-by-step explanation:
Since we know the first answer is 2, we can subtract 82 by 2. Afterwards we can divide by 8 since we are counting by 8s, this gets me 10. 10 + the first number is 11
The population of a certain country since 1990 can be approximated by f(t)=0.008t2+2.1t+175 where f(t) is the population in millions and t represents the number of years since 1990. Find the average rate of change in the country's population between 1990 and 2010. Round to 1 decimal place.
Answer:
[tex]\frac{f(20)-f(0)}{20-0} = \frac{220.2-175}{20} = 2.26[/tex]
Step-by-step explanation:
as with all functions f(t), the average rate of change on [a.b] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
HELP PLSPLSPLS WHOEVER GETS RIGHT GETS BRANNIEST !!! PLS HELP FAST!!!!!!!!!!!
Answer:
Your answer is going to be 34/7.
Step-by-step explanation:
In order to solve this problem, you are going to have to work backward. In the first part, you are trying to see what subtracted with 59/7 after you find that you add 22/7 to it. then subtract 30/7 from the sum. This gives you your answer.
59/7-19/7
40/7+22/7
64/7-30/7
34/7
HELP!!! ASAP MARKING BRAINLIEST!!!
Answer:
it's the first one. I hope you get a good grade
Please can someone help me please
It is attached
Find the slope of the line graphed below.
Answer:
-3/2 I believe is the answer,
Step-by-step explanation:
Notice that the (left to right) line is going down, indicating it is negative.
Now do rise over run. Rise Is up and down, so 3, and run is left and right so 2, -3/2 is your answer, Correct me if I am wrong
What is the quotient of 1414 divided by 32 and written in a mixed fraction
Answer:
44 3/16
Step-by-step explanation:
1414 ÷ 32 = 44.1875
[tex]44\frac{3}{16}[/tex] is 44.1875 as a mixed fraction.
Hope this helps!
If you need work let me know!
in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is the value of b, if c=13, a=12?
Answer:
5
Step-by-step explanation:
a=12 (height)
c=13 (hypotenous)
b=? (base)
By using Pythagoras theorm
We have, hypotenous sq=base sq+height sq
Let b =base SO, base sq=hypotenous Sq-height Sq
=>base Sq =13sq-12sq
Base Sq =169-144
Base Sq =25
Base =5 (shifting the sq)....
Hope it's helpful
How many solutions does this equation have?
-3n = -4n + 7
Answer:
just one: 7 you isolate the numbers by doing -3n + 4n = 7, and u get n = 7
Answer:
2
Step-by-step explanation:
my soulstinos were Solution 1)
3
n
+
7
=
−
1
3
n
+
7
−
7
=
−
1
−
7
3
n
+
0
=
−
8
3
n
=
−
8
3
n
3
=
−
8
3
3
n
3
=
−
8
3
n
=
−
8
3
Solution 2)
3
n
+
7
=
1
3
n
+
7
−
7
=
1
−
7
3
n
+
0
=
−
6
3
n
=
−
6
3
n
3
=
−
6
3
3
n
3
=
−
2
n
=
−
2
The solution is:
n
=
−
8
3
and
n
=
−
2
write the first 5 composite numbers?
Answer:
4, 6, 8, 9, 10, 12, 14, 15, 16
Step-by-step explanation:
"The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table. Note that the number 1 is a special case which is considered to be neither composite nor prime."
hope this helps :)
An airport limo service charges riders a fixed charge of $15 plus
$4.00 per mile. How many miles must a rider go to have an
average cost per mile of $4.60?
Given:
An airport limo service charges riders a fixed charge of $15 plus $4.00 per mile.
To find:
Distance in miles must a rider go to have an average cost per mile of $4.60.
Solution:
Let x be the number of miles the rider travel.
Total charges = Fixed charges + Variable charges
According to the question,
Fixed charges = $15
Variable charges = $4x
So, total charges
[tex]T=15+4x[/tex]
Divide the total charges by number of miles to get the cost per mile.
[tex]\text{Cost per mile}=\dfrac{15+4x}{x}[/tex]
Average cost per mile is $4.60.
[tex]4.60=\dfrac{15+4x}{x}[/tex]
[tex]4.60x=15+4x[/tex]
[tex]4.60x-4x=15[/tex]
[tex]0.60x=15[/tex]
Divide both sides by 0.60.
[tex]x=\dfrac{15}{0.60}[/tex]
[tex]x=25[/tex]
Therefore, the required number of miles is 25.
f(x) = x^2 + 2x – 4
f(3) = ?
Answer:
11
Step-by-step explanation:
f(3)=(3)^2+2(3)-4
f(3)=9+2(3)-4
f(3)=9+6-4
f(3)=15-4
f(3)=11
Need help on this one please and thank you
Answer:
64x64x64=262,144
Step-by-step explanation: mark as brainest plsssssssssssssss
good monke good monke dog
Answer:
very inspirational thanks
Step-by-step explanation:
Answer:
monke
Step-by-step explanation:
please help me im very behind
Answer:
I think its d. a13=23
Plz correct me If I am wrong
Step-by-step explanation:
How do I turn 93.75 into a fraction? :)
Answer:
Say it out loud like 93/and 75 hundrenths you count the denominators place and since it has two you say hundrenths.
Answer:
93 3/4
Step-by-step explanation:
93.75 = 93.75/1
93.75/1 × 100/100 = 9375/100
9375 ÷ 25 / 100 ÷ 25 = 37/54
93 3/4
93.75 = 93 3/4
Please help I need the answer
Answer:
Please check the attached graph.
The point of intersection will be: (x, y) = (15, -2)The solution will be:
(x, y) = (15, -2)Hence, option (B) is correct.
Step-by-step explanation:
Please note that the point of intersection is the solution of the two lines on a coordinate plane.Given the system of equation
[tex]\begin{bmatrix}y=\frac{2}{3}x-12\\ y=2x-32\end{bmatrix}[/tex]
Please check the attached graph,
The red line is representing the equation [tex]y\:=\:\frac{2}{3}x-12[/tex]The blue line is representing the equation [tex]y\ =\ 2x-32[/tex]From the attached graph, it is clear that both the lines meet at the point (15, -2).
In other words,
at x = 15, y = -2
Thus, the point of intersection will be: (x, y) = (15, -2)
We already know that the point of intersection is the solution of the two lines on a coordinate plane.
Therefore, the solution will be:
(x, y) = (15, -2)
Hence, option (B) is correct.
What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.
Answer:
x576 567 871 12 135 35l4367 89
Answer:
210cm
Step-by-step explanation:
54+66+30+42+18=210cm^2
Can someone help me with this question
Y’all know this anything about this?
We are given:
Parallelogram CDEF∠C = 13x - 10∠D = 5x + 10To Find: ∠E
Concept Used:
Adjacent angles of a Parallelogram are SupplementaryFinding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
__________________________________________________________
Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
__________________________________________________________
Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°