Answer:
The accumulated amount would be $4,353.56
Step-by-step explanation:
r= 0.08
A= 3, 200(1+0.08)^4
= 3,200(1.08)^4
= $4,353.56
Given g(x)=−x−2, solve for x when g(x) =0
Answer:
anser is 2x nark me as brainlest please
Graph attached
g(0)=0-2=-2thanks for any help!
Answer:
the answer is c
Step-by-step explanation:
Help please asap and thank you
Answer:
x: 2.25 in
y: 6 in
Step-by-step explanation:
For value of x:
[tex]\tt \frac{x}{9in} =\frac{3in}{12in}[/tex]
Cross-multiply,
[tex]\tt x=2.25in[/tex]
Now, for the value of y:
[tex]\tt \frac{y}{9in} =\frac{8in}{12in}[/tex]
Cross-multiply,
[tex]\tt y=6in[/tex]
Evaluate each expression.
8/7 + 4/7
Answer:
1 4/7
Step-by-step explanation:
8/7 + 4/7 = 12/7. Simplified = 1 4/7
Answer:
1 5/7
Step-by-step explanation:
8+4=12
7 goes into 12 one time.
1 5/7
The first four terms of an arithmetic sequence are: a, a + d, a + 2d, a + 3d. The first
four terms of another sequence are: A, Ar, Ar2, Ar3, where r 6= 1. The eight terms
satisfy:
a + A = 27 (1)
(a + d) + (Ar) = 27 (2)
(a + 2d) + (Ar2) = 39 (3)
(a + 3d) + (Ar3) = 87 (4)
By using the substitution a = 27 − A, or otherwise, find the all eight terms
The first eight terms of the sequence are 27, 27, 39, 87, 117.378, 147.755, 178.132 and 208.509.
Determination of a given set of successive values of a sequence
By (1) we have that [tex]a = 27 - A[/tex], and we simplify the system of equations as follows:
[tex](27-A)+d + A\cdot r = 27[/tex]
[tex]d + (r-1)\cdot A = 0[/tex] (2b)
[tex](27-A) +2\cdot d + A\cdot r^{2} = 39[/tex]
[tex]2\cdot d + (r^{2}-1)\cdot A = 12[/tex] (3b)
[tex](27-A) +3\cdot d + A\cdot r^{3} = 87[/tex]
[tex]3\cdot d + (r^{3}-1)\cdot A = 60[/tex] (4b)
By (2b), we simplify the system of equations once again:
[tex]2\cdot (1-r)\cdot A+(r^{2}-1)\cdot A = 12[/tex]
[tex][2\cdot (1-r)+(r^{2}-1)]\cdot A = 12[/tex] (3c)
[tex]3\cdot (1-r)\cdot A + (r^{3}-1)\cdot A = 60[/tex]
[tex][3\cdot (1-r) + (r^{3}-1)]\cdot A = 60[/tex] (4c)
And by equalising (3c) and (4c) we have an expression in terms of [tex]r[/tex]:
[tex]\frac{12}{[2\cdot (1-r)+(r^{2}-1)]} = \frac{60}{[3\cdot (1-r)+(r^{3}-1)]}[/tex]
[tex]12\cdot [3\cdot (1-r)+(r^{3}-1)] = 60\cdot [2\cdot (1-r) + (r^{2}-1)][/tex]
[tex]36\cdot (1-r) +12\cdot (r^{3}-1) = 120\cdot (1-r)+60\cdot (r^{2}-1)[/tex]
[tex]84\cdot (1-r) +60\cdot (r^{2}-1)-12\cdot (r^{3}-1) = 0[/tex]
[tex]84-84\cdot r +60\cdot r^{2}-60-12\cdot r^{3}-12 = 0[/tex]
[tex]-12\cdot r^{3}+60\cdot r^{2}-84\cdot r +2 = 0[/tex] (5)
The roots of this third order polynomial are: [tex]r_{1} \approx 0.0242[/tex], [tex]r_{2} = 2.488 + i\,0.831[/tex] and [tex]r_{3} \approx 2.488-i\,0.831[/tex]. Since [tex]r[/tex] must be a real number, then [tex]r \approx 0.0242[/tex].
By (4c) we have the value of [tex]A[/tex]:
[tex]A = \frac{60}{3\cdot (1-0.0242)+(0.0242^{3}-1)}[/tex]
[tex]A \approx 31.130[/tex]
By (2b) we find the value of [tex]d[/tex]:
[tex]d = (1-0.0242)\cdot 31.130[/tex]
[tex]d = 30.377[/tex]
And by (1) we find the value of [tex]a[/tex]:
[tex]a = 27-A[/tex]
[tex]a = 27-31.130[/tex]
[tex]a = -4.13[/tex]
The first eight terms are calculated below:
[tex]n_{1} = 27[/tex]
[tex]n_{2} = 27[/tex]
[tex]n_{3} = 39[/tex]
[tex]n_{4} = 87[/tex]
[tex]n_{5} = [-4.13 + 4\cdot (30.377)]+(31.130)\cdot (0.0242)^{4} = 117.378[/tex]
[tex]n_{6} = [-4.13+5\cdot (30.377)+(31.130)\cdot (0.0242)^{5}] = 147.755[/tex]
[tex]n_{7} = [-4.13+6\cdot (30.377)\cdot (31.130)\cdot (0.0242)^{6}] = 178.132[/tex]
[tex]n_{8} = [-4.13+7\cdot (30.377)\cdot (31.130)\cdot (0.0242)^{7}] = 208.509[/tex]
The first eight terms of the sequence are 27, 27, 39, 87, 117.378, 147.755, 178.132 and 208.509. [tex]\blacksquare[/tex]
RemarkThe statement present typing mistakes and is poorly formatted. Correct form is shown below:
The first four terms of an arithmetic sequence are: [tex]a[/tex], [tex]a + d[/tex], [tex]a + 2\cdot d[/tex], [tex]a + 3d[/tex]. The first four terms of another sequence are: [tex]A[/tex], [tex]A\cdot r[/tex], [tex]A\cdot r^{2}[/tex], [tex]A\cdot r^{3}[/tex]. The eight terms satisfy:
[tex]a + A = 27[/tex] (1)
[tex](a+d)+A\cdot r = 27[/tex] (2)
[tex](a + 2\cdot d) + A\cdot r^{2} = 39[/tex] (3)
[tex](a + 3\cdot d) + A\cdot r^{3} = 87[/tex] (4)
By using the substitution [tex]a = 27-A[/tex], or otherwise, find the all eight terms.
To learn more on sequences, we kindly invite to check this verified question: https://brainly.com/question/21961097
Please show me how to solve the problem
Answer:
(3x+1)
Step-by-step explanation:
So i start by the little 2 and then the 3 and then 19x +6
A certain tree was 5 1/3 feet tall when it was first planted. A few years later, the tree is 4 times as tall as it was when it was first planted. How much has the tree grown since it was first planted?
Answer:
21 1/3 ft.
Step-by-step explanation:
5 1/3= original height
4 times the growth
5 1/3 times 4=
Answer: 21 1/3 ft. tall
How do credit cards work? (Own words)
a credit card it like a short term loan and you a a certain amount of credit on it than you have to pay back how ever much credit you used to the credit card company
Step-by-step explanation:
ok im a 100 percent sure but ill give it a shot
Write a numerical expression to represent "the difference of 336 and 240 divided
by 8." Then evaluate your expression.
(Don’t ask for a picture)
Answer:
306
Step-by-step explanation:
Eddie bought a book of sports stories. It was 25% off the original price of $15. How much did he pay?
Answer:
11.5
Step-by-step explanation:
basically just take 25% off of 15!! hope this helps!!
solve for x to the nearest tenth
I WILL MARK BRAINLIEST.
Need some help pleas
Answer:
80%
Step-by-step explanation:
If you divide 52 by 65 you will get a decimal, then multiply by 100% to get the equivalent.
52/65 = 0.8
0.8 x 100 = 80%
Find the domain and range of this relation? (Assume there are arrows at both ends of the relation.)
Answer:
Domain: ( -∞ , ∞ )
Range: ( -∞ , 4 ]
Step-by-step explanation:
Hi there!
The domain tells us the possible x-values of a function. Because there are arrows at the end of each side, it means the graph is travelling infinitely to both the left and the right side. This means the the domain is all real numbers, meaning that for any value of x, there is a real value for y.
( -∞ , ∞ )
The range tells us the possible y-values of a function. Both sides of the graph are travelling infinitely downwards, starting from 4.
( -∞ , 4 ]
I hope this helps!
NEED KOPO ASAP
1. What is the equivalent statement of a converse?
A. Conditional
B. Inverse
C. Conclusion
D. Contrapositive
Answer:
the answer is B.Inverse
Economists assume people behave rationally, which means that people
A.
always understand the consequences of their decisions.
B.
do not intentionally make decisions that make themselves worse off.
C.
never make a mistake.
D.
have the necessary information to always make correct decisions.
Answer:the answer is D
Step-by-step explanation:
it means to that they stay calmly to things
what is the sum of six hundred seven and two thousand, three hundred ninety three
Answer:
3000
Step-by-step explanation:
Convert them into numbers: 607 + 2393 = 3000.
Answer:
The answer is
→ 3,000 is the sum.
Step-by-step explanation:
Were being asked what is the sum of six hundred seven and two thousand, three hundred ninety three/607 and 2,393
Well if it's asking us for the sum, then we fore SURE have to use addition.
[tex]607+2,393=3,000[/tex]
Therefore, 3,000 is your answer to this question.
Hope this helped! :^)
(2,5) and (3,7)
slope: 2
what is the point slope form ?
what is the slope intercept form ?
Answer:
equation in slope intercept form: y = 2x +1
Step-by-step explanation:
given coordinates = (2,5) and (3,7)find slope,m = (y2 - y1) / (x2 - x1)= (7 - 5) / ( 3 - 2)
= 2
using the formula: y - y1= m( x - x1 ): y = 2x +1
equation in slope intercept form:
[tex]y = 2x +1[/tex]
given coordinates:
[tex](2,5) and (3,7)[/tex]
find slope,m:
[tex]\frac{y2 - y1}{x2-x1}= \frac{7-5}{3-2} = 2[/tex]
using the formula:
[tex] y - y1= m(x-x1) : y-5=2(x-2)[/tex]
[tex]y = 2x +1[/tex]
write the number 66,190,000 using the number word "million" and then round to one decimal place
Answer:
66,190,000 = 66.19 million
round to 66.2 million
Step-by-step explanation:
Michael bought $75 worth of shoes before the sales tax was added. His sales tax was $5.25. What was the tax rate?
Answer:
7%
Step-by-step explanation:
If x and y are real numbers then y(x + y) + x(x - y) simplifies to..........?
A triangle has a side length of 10 inches and a side length of 3 inches. What could be the length in inches of the third side of the triangle?
If a is 5, b is 4, and c is 3, them ab-bc is
Answer:
I believe the answer is 8
Step-by-step explanation:
5*4=20
4*3=12
20-12=8
Answer:
AB would be 9 and BC would be 7
Step-by-step explanation:
57 ÷ (9 + 3) – 8
who knows the anwser
Simplify the following math expression: 5+4(6-3)+4/2
Answer:
29
you have to solve the brackets first(6-3=3)
Then solve the division (4/2=2)
lastly the addition (5+4=9)
so we have 9×3=27
27+2=29.
Answer:
28
Step-by-step explanation:
math is not that hard just try a littile bit you will be good
I need help with this question
In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x) = 3x to obtain the graph of f(x) = 3-x + 1 + 5.
you are to create an open box from a single piece of cardboard. The cardboard is 10 inches by 12 inches. You are to cut out equal corners from each side of the box. Construct an equation for the volume of the box. What is the volume of the box if the piece you cut from the corner is 2 inches?
Check the picture below.
what if x = 2?
[tex]V=(2)[10-2(2)][12-2(2)]\implies V=2(6)(8)\implies V=96[/tex]
Evaluate 14 – 4 – 2h when p=1 and h=4.
Answer:
14 – 4 – 2h = 2
Step-by-step explanation:
14 – 4 – 2h
fill in 4 for h
14 - 4 - 2(4)
14 - 4 - 8
10 - 8
2
hope this helps!!
How could the partial strategy be applied to 2 digit by 2 digit multiplication problem?
The partial product method involves multiplying each digit of one number in turn with each digit of another where each digit keeps its place. (So the 2 in 23 would actually be 20.) For example, 23 x 42 would become (20 x 40) + (20 x 2) + (3 x 40) + (3 x 2).
➥ I hope I have been of great help, greetings! Atte: ღTheGirlSadღ1/4c - 1 + 1/4c ≥ 3
Answer please
Answer:
c ≥ 8
Step-by-step explanation:
1/4c − 1 + 1/4c ≥ 3
Step 1: Add 1/4 to 1/4, since they are on the same side of the equation
1/4 + 1/4c - 1 ≥ 3
1/4 + 1/4 = 1 + 1 / 4
= 2/4
= 1/2
Step 2: Put together the equation
1/2c - 1 ≥ 3
Step 3: Add 1 to both sides.
1/2c − 1 + 1 ≥ 3 + 1
1/2c ≥ 4
Step 4: Multiply both sides by 2.
2 × 1/2c ≥ 2 × 4
c ≥ 8
