Answer:
Annuity.
Step-by-step explanation:
A sequence of payment made at equal time period is called an annuity.
Basically, annuity can be calculated using the compound interest formula. It is given by the mathematical expression;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Additionally, the time period between each payment is called payment period.
The term of an annuity refers to the time from the beginning of the first payment made by an individual to the end of the last payment period.
11. A man is buying a lot which measures 7,860 square meters. How many
hectares of land is he buying?
A. 78,600 hectares
B. 0.7860 hectare
C. 786,000 hectare
D. 0.07860 hectare
Answer:
C. 786,000 hectare
Step-by-step explanation:
This question can be solved by proportions, using conversion of units.
Each hectare has 10 000 square meters.
So 7,860 square meters is equal to:
7,860*10000 = 786,000 hectares
The answer is given by option C.
Please help!!!!!
(50 points)
Answer:Hope this helps
Step-by-step explanation:
what is the equation in slope-intercept form, of the line prependicular to y= -3/5x +6 that passes through the point with coordinants (12,25)
Answer:
y=5/3x+5
Step-by-step explanation:
change slope in equation given to the negative reciprocal since the line is perpendicular:
-3/5 to 5/3
put values into point slope form y-y1=m(x-x1)
y1 = y in the point given, which is 25
m = slope, which is 5/3
x1 = x in point given, which is 12
y-25=5/3(x-12)
then solve for slope intercept form y=mx+b to get
y=5/3x+5
Three of the vertices of square ABCD are located at A(0,3), B(4,0), and C(7,4).
Determine the area of square ABCD.
Answer:
The area of the square ABCD is 25 square units
Step-by-step explanation:
The square ABCD has three of its vertices at A(0,3), B(4,0), and C(7,4). The fourth vertex has been also plotted in the image attached below.
The area of the square is
[tex]A = a^2[/tex]
Where a is the length of any of the square's sides. We only have to find the distance from any two consecutive vertices, for example, A(0,3), B(4,0):
[tex]a=\sqrt{(4-0)^2+(0-3)^2}[/tex]
[tex]a=\sqrt{16+9}=\sqrt{25}=5[/tex]
a = 5
Calculating the distance between any other pair of consecutive vertices would yield the same result. The area is now calculated:
[tex]A = 5^2 = 25[/tex]
The area of the square ABCD is 25 square units
2^3 - (12 divide 6) + 8
Find the 5th term in the sequence described by 3n - 2. (1 point)
O 13
O 17
07
0-13
Answer:
It's 13
Step-by-step explanation:
the fifth term is n. do 3*5=15 and then subtract 2 to get 13!
(03.02)
Which of the following is a factor of 48x2 − 26x + 3? (1 point)
Select one:
a. 8x − 3
b. 12x − 1
c. 4x − 3
d. None of the above
Answer:
A
Step-by-step explanation:
48x^2-8x-18x=3
8x(6x-1)-3(6x-1)
(8x-3)(6x-1)
8x-3
Answer:
Step-by-step explanation:
48x2 - 26x + 3
48x2 - 18x - 8x + 3
6x( 8x - 3) - 1(8x - 3)
(8x - 3) and (6x - 1) are the factors
Option A is the correct answer
Polygon LMNPQ is shown on the coordinate grid. What is the preempted of polygon LMNPQ
The question is incomplete. Here is the complete question.
Polygon LMNPQ is shown on the coordinate grid. What is the perimeter of polygon LMNPQ?
A. [tex]2+12\sqrt{2}[/tex] units
B. [tex]7+2\sqrt{2}[/tex] units
C. [tex]10+4\sqrt{2}[/tex] units
D. [tex]12+2\sqrt{2}[/tex] units
E. [tex]12+4\sqrt{2}[/tex] units
Answer: E. [tex]12+4\sqrt{2}[/tex] units
Step-by-step explanation: Perimeter of a figure is the sum of all of its sides.
The polygon is drawn on a plane. The distance between a pair of points will give that side its measure.
Distance of two points is calculated as
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
Segment MN:
Coordinates: M (2,4) and N (5,8)
[tex]d=\sqrt{(5-2)^{2}+(8-4)^{2}}[/tex]
d = 5
Segment ML:
Coordinates: M (2,4) and L (4,2)
[tex]d=\sqrt{(2-4)^{2}+(4-2)^{2}}[/tex]
[tex]d=2\sqrt{2}[/tex]
Segment NP:
Coordinates: N (5,8) and P (8,4)
[tex]d=\sqrt{(5-8)^{2}+(8-4)^{2}}[/tex]
d = 5
Segment PQ:
Coordinates: P (8,4) and Q (6,2)
[tex]d=\sqrt{(8-6)^{2}+(4-2)^{2}}[/tex]
[tex]d=2\sqrt{2}[/tex]
Segment LQ:
Coordinates: L (4,2) and Q (6,2)
[tex]d=\sqrt{(6-4)^{2}+(2-2)^{2}}[/tex]
d = 2
Calculating perimeter (P):
P = MN + ML + NP + PQ + LQ
P = [tex]5+2\sqrt{2}+5+2\sqrt{2}+2[/tex]
P = [tex]12+4\sqrt{2}[/tex]
Perimeter of polygon LMNPQ is [tex]12+4\sqrt{2}[/tex] units
2) An $80 text book was on sale for $49.60 at the used book store. By what percent did the book decrease in price?
The answer fam is......... 38%
Answer: 38%
Step-by-step explanation:
80x0.62=49.60
which values are solutions to the inequality below? check all that apply √x < 5
A.) 1296
B.) 17
C.) 22
D.) 36
E.) -2
F.) 77
Answer:
B); C).
Step-by-step explanation:
1) if sqrt(x)<5, then x∈(0:25);
2) if x∈(0;25), then the values 17; 22 are correct
From a distance of 43 feet from the base of a building the angle of elevation to the top of the
building is 64º. Estimate the height of the building to the nearest foot.
A) 21 feet
B) 39 feet
C) 88 feet
D) 19 feet
Answer: B 39 ft I think
Step-by-step explanation:
2. The ratio of pretzels to peanuts in a trail mix is 4:9.
At the same rate if there are 80 pretzels how many
peanuts are there?
Answer:
170 peanuts I believe
Step-by-step explanation:
just did mental math, not sure if it's the right way
‼️‼️‼️‼️‼️‼️‼️‼️HELPPPPPPPP NOWWWW and any other questions on my page recently ill mark you brainliest
Answer:
A) t(x)=948(0.955)^x
Step-by-step explanation:
The key term here is decreases by. This means there's going to be exponential decay. The exponential decay factor, r, in this case, will be r=1-0.045=0.955 and we also know this is exponential decay because r<1. The only possible option that works is A because when x=0 the result should be $948 because only 0 years have passed!
5
Explain
why 36% is
less than 3/8
Ales read 1/3 of a book Monday. 28 pages Tuesday . still has 1/3 left to read. how many pages in book
Answer:
there are 84 pages in the book.
Step-by-step explanation:
let's call the pages in the book b.
1/3b + 1/3b + 28 = b
2/3b + 28 = b
subtract 2/3b from both sides of the equation
2/3b - 2/3b + 28 = b - 2/3b
28 = b - 2/3b
28 = b/3
multiply both sides of the equation by 3
28 * 3 = b/3 * 3
28 * 3 = b
84 = b
Answer:
The book has 84 pages
Step-by-step explanation:
Equations
Let's make:
x = number of pages of the book
Alex read 1/3x of the book on Monday, 28 pages on Tuesday, and still has 1/3x left to read. The sum of all these portions add up to the number of pages of the book, thus:
[tex]\displaystyle \frac{x}{3}+28+\frac{x}{3}=x[/tex]
Multiplying by 3:
[tex]x+84+x=3x[/tex]
Simplifying:
x = 84
The book has 84 pages
If, at the end of two years, a savings account has a balance of $1,172.60, and the interest rate is compounded monthly at 3.2%, then what is the original amount deposited two years ago?
Answer:
$1101
Step-by-step explanation:
Given data
A= $1,172.60
R= 3.2 = 0.032
t= 2
The expression for compound interest is
A= P(1+r)^t
Substitute
1172.60=P(1+0.032)^2
1172.60=P(1.032)^2
1172.60=P1.065
Divide both sides by 1.065
1172.60/1.065= P
P=$1101
Hence the original amount is $1101
Two geometric means are inserted between 6 and 384 so the four numbers form a geometric sequence. What are these two numbers?
Hint: an = a1 ( 0-1, where a, is the first term and r is the common ratio.
A. -24,96
B. -24, -96
C. 24,96
D. 22, 108
Answer:
A
Step-by-step explanation:
idc
Witch describes the slope of this line?
undefined
zero slope
negative slope
positive slope
Answer:
Undefined
Step-by-step explanation:
Given that V, W, and X are the midp oints of ASTU, what is the relationship between TX and XU?
A 2TX = XU
B. TX = 1/2XU
C. TX || XU
D. TX=XU
Please select the best answer from the choices provided
Answer:
the answer is D
Step-by-step explanation:
got it right on edg
21 miles equal how many feet
Answer:
110, 880 feet
Step-by-step explanation:
5,280 feet in one mile x 21 miles
Answer:
110, 880 feet
Step-by-step explanation:
What is the right answer for the ordered pairs?
Answer:
D. (2, -3) and E. (4,-1)
Step-by-step explanation:
In quadrant IV, the possible x-coordinate that can be gotten can only be positive, while the possible y-coordinate can only be a negative value. Thus, the coordinate pair we can get is a positive x-coory and a negative y-coordinate (x, -y).
Therefore, from the list of options given, the two ordered pairs that belong in Quadrant IV are D. (2, -3) and E. (4,-1)
Find the two solutions to the equation below.
(x – 3)(x − 2) = 0
Anyone know how to do it
Answer:
You have two brackets..divide them as
x-3=0 and x-2=0
so x=3, x=2
The solutions to the equation ( x – 3 )( x − 2 ) = 0 using factors equal to zero are x = 3 and x = 2.
To find the solutions to the equation ( x – 3 )( x − 2 ) = 0, we set each factor equal to zero and solve for x. This is because the product of two factors is equal to zero only if at least one of the factors is zero.
Setting ( x – 3 ) = 0:
x – 3 = 0
x = 3
Setting ( x − 2 ) = 0:
x − 2 = 0
x = 2
Therefore, the solutions to the equation ( x – 3 )( x − 2 ) = 0 are x = 3 and x = 2.
To know more about equation click here :
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(4x-20)° what is the value of x
Answer: 4(x−5)
Step-by-step explanation:
I think this is right. If it’s not Im sorry. But if it is hope this helps!
What is the absolute value I15I
Answer:
its 15
Step-by-step explanation:
What is the square root of nine
Answer: the square root of 9 is 3.
|-3/4+1/8|- (2/3+1/6)
Answer:
-5/24
Step-by-step explanation:
-3/4 = -6/8
-6/8 + 1/8 = -5/8
|-5/8| = 5/8
2/3 = 4/6
4/6 + 1/6 = 5/6
5/8 - 5/6 = 15/24 - 20/24
15/24 + (-20/24) = -5/24
What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?
Answer:
(6x^(3)+11x^(2)-19x+5)-:-(3x-2)
Step-by-step explanation:[tex]63+112+32+1[/tex]
for some reason it showed that but yeah hope this helps!
16, -6.4, 2.56, ..., 6th term
The 6th term of the sequence is
Answer:
the 6th term is = -0.16384
Step-by-step explanation:
Notice this is a geometric sequence with first term 16, and common ratio (-0.4)
Therefore the first 6 terms of the sequence are:
a1 = 16
a2 = 16 * (-0.4) = -6.4
a3 = -6.4 * (-0.4) = 2.56
a4 = 2.56 * (-0.4) = -1.024
a5 = -1.024 * (-0,4) = 0.4096
a6 = 0.4096 * (-0.4) = -0.16384
The the 6th term is = -0.16384
1). Solve for n n + 46 = 67
Help helps please help
Answer:
n=21
Step-by-step explanation:
Subtract 46 from both sides.
n+46−46=67−46
n=21
Answer:
n=21
Step-by-step explanation:
46-67=21
21=n
So the answer is 21.
Help! Please Help lol
