Answer:
£6911 is the smallest amount Cynthia should invest to get £8000 after three years
Step-by-step explanation:
lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year
Amount expected after three years when compounded annually = A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911
Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years
choose the correct classification of 2x+10^2-x^3
a) third degree trinomial
b) fourth degree trinomial
c) sixTh degree polynomial
d) first degree binomial
can some one plss help me??
Answer:
a) third degree trinomial
Step-by-step explanation:
The degree of a polynomial is the same as the degree of the term of the polynomial with the highest degree. The degree of a term is the sum of all the exponents of the variables of the term. Remember that a variable such as x, or y, or z has degree 1.
Now we look at the degree of each term:
2x: degree 1 (since x is the same as x^1)
10x^2: degree 2
-x^3: degree 3
The term with highest degree is the last term which has degree 3, so the degree of the polynomial is 3.
The polynomial has 3 terms, so it is a trinomial.
Answer: a) third degree trinomial
One of the sides of a parallelogram has the length of 5 in. can the lengths of the diagonals be: 4 in and 6 in?
PLEASE PROVIDE AN EXPLANATION
Answer:
Yes, the diagonals could be 6 and 7 in. In a parallelogram, only the opposite sides of the parallelogram are congruent.
Step-by-step explanation:
In a parallelogram, the diagonals bisect each other, so you can set the labeled segments equal to one another and then solve for . \displaystyle 20 - 3x = 2x - 4 \rightarrow 24 = 5x \rightarrow 4.8 = x. Then, substitute 4.8 for in each labeled segment to get a total of 11.2 for the diagonal length.
Solve for x. Enter your answer in interval
notation using grouping symbols.
x2 + x < 20
Answer:
x<18
Step-by-step explanation:
2+x<20
Answer:
(-5, 4)
Step-by-step explanation:
x^2 + x < 20 can be rewritten as a quadratic in standard form: x^2 + x - 20 < 0. Recognize that the graph of x^2 + x - 20 is that of a parabola that opens up. Because the y-intercept (0, -20) is below the x-axis, we know for certain tht the graph intersects the x-axis in two places. Our job is to determine the two horizontal intercepts, which in turn determine the solution set.
x^2 + x - 20 = 0 factors as follows: (x + 5)(x - 4) = 0, whose roots are -5 and 4.
These two roots form 3 intervals: (-infinity, -5), (-5, 4) and (4, infinity). We now must identify on which intervals x^2 + x - 20 is less than 0 (that is, on which intervals the graph is below the x-axis). Choose three test values for x: the first could be -6 (which is in the set (-infinity, -5) ); x^2 + x - 20 is + there, and so the graph is above the x-axis and x^2 + x - 20 is positive. Reject this.
Next, test x = 0; x^2 + x - 20 is negative there, meaning that x^2 + x - 20 < 0 and that x^2 + x < 20. Thus, the solution is (-5, 4). It can be shown that x^2 + x - 20 is positive again for x-values within the interval (4, infinity).
Evaluating
plsssss help its easy!!!!!
(one question)
wrong answer for points=banned
Answer:
First that's a quiz. Lol
Step-by-step explanation:
It is the 2'nd answer.
Your Welcome.
Can someone please help me! Thank youuuu!
Answer:
d
Step-by-step explanation:
please help ._. i’ll give brainliest-
Answer:
it equals .85 hope this helps!
Step-by-step explanation:
Identify the coefficients in the expression -3h + 3 - 5 + h
Answer:
-3, and 1
Step-by-step explanation:
-3 is the coefficient of h 1 is the co efficient of h
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
The third one
Step-by-step explanation:
Answer:
the 3rd option
Step-by-step explanation:
because im smert
A store manager combines 2 lb of trail mix that contains some cashew nuts with 30 lb
of trail mix that is 20% cashews. The result is a trail mix that is 25% cashews. What is the concentration of cashews in the first mixture?
Answer:
100%
Step-by-step explanation:
Let p = percent of cashews in first mix
2p = lb. of cashews in first mix
30(.20) = 6 = lb. of cashews in second mix
32(.25) = 8 = lb. of cashews in the combined mix
So,
lb. of cashews in first mix + lb. of cashews in second mix = lb. of cashews in the combined mix
2p + 6 = 8
2p = 2
p = 1 = 100%
Answer:
100%
Step-by-step explanation:
I solved it and it was correct lol
Which of the following best represents the dependent quantities in the graph below?
A. 2, 20, 4, 40
B. 2, 4, 6, 8
C. 20, 40, 60, 80
D. 10, 20, 30, 40, 50
Answer:
C
Step-by-step explanation:
Dependent quantity = y-value
Mr. Wade took his family on an 8-hour boat trip. During the trip, the boat used 48 gallons of gasoline. The boat used the same number of gallons each hour. At what rate did the boat use gasoline?
Answer:
6 gallons of gas an hour
Step-by-step explanation:
pls mark brainliest if correct
Answer:
6 gallons used per hour
Step-by-step explanation:
you would divide 48 by 8 because Mr. Wade used 48 after 8 hours.
What is the missing term?
-4.-12.x
12.-4 .
2x
?
2.2
3х
+1
Answer:
Step-by-step explanation:
The question is not displaying correctly.
4x·3x = 12x²
12 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold? as a mixed number as a mixed
Answer:
2.4 or 12/5 or 2 2/5
Step-by-step explanation:
Joni sold 376 tickets for the school play. Student tickets cost $4 and adult tickets cost $7. Joni’s sales totaled $2080.
Which system of equations below will determine then number of adult tickets, a, and the number of student tickets, s, that Joni sold?
Answer:
(4s+7a) 376=2080
Step-by-step explanation:
(4s+7a) 376=2080
What is a improper fraction and a mixed multiplication
Answer:
Step-by-step explanation:
An improper fraction is a fraction that the numerator is greater than the denominator. As for a mixed fraction, that is a whole number with a fraction next to it.
Kareem and Lena each open a savings account today. Kareem opened his account starting amount of $370, and he's going to put a $95 per month. Lena opened her account with the starting amount of $850, and she's going to put in $35 per month. let x be the number of months after today.
a- for each amount write an expression for the amount of money in the account after x months
b-write an equation to show into accounts would have the same amount of money
Answer:
D= It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.
Step-by-step explanation:
I WILL GIBE BRAINLEST
Liz created this table to show the ratio of red pencils to green pencils in her box. Identify the ratios that are equivalent to the ratio of red pencils to green pencils in Liz’s table. Red Pencils Green Pencils 2 6 4 12 6 18 8 24
Answer:
2:6
Step-by-step explanation:
I honestly don't know at all if this is correct or if I even get the question but what I did to get 2:6 was- for the reds which was 2, 4, 6, 8 it was +2 and for green which was 6, 12, 12, 24 was +6 which in the end gave me 2:6
please condense and/or solve and show work. log8(x+1)-log base 8 of x=log base 8 of 7
Answer:
x=1/6
Step-by-step explanation:
since the base is the same, condense the equation
from log m base a=log n base n, m=n
) Which of the following is the correct equation of a vertical line that contains (5, 6)?
Answer:
[tex]y = {x}^{2} - 11x + 30[/tex]
y=x+5
4x+y=20
show work
Answer:
(3,8)
Step-by-step explanation:
Step-by-step explanation:
put value of y in equation 2
4x + (x + 5) =20
open the brackets
5x + 5 = 20
5x = 20 - 5
5x = 15
x = 15/3
x = 5
putting value of x in y we get
y = 10
GOOD LUCK FOR THE FUTURE! :)
Can y’all please help me
Answer:
Rly lazy man.....
Step-by-step explanation:
1/2*l*w is the area of triangle, plug in values...
1/2*4.5*6.6
14.85 square feet is the area
Answer:
A=14.85
Step-by-step explanation:
[tex]A=\frac{ab}{2}[/tex]
"ab' are the lengths of the sides
[tex]A=\frac{(4.5)(6.6)}{2} \\\\A=\frac{29.7}{2} \\\\A=14.85[/tex]
Hope this helped and answered your question! Have a great day/night!
In ΔJKL, the measure of ∠L=90°, KL = 11 feet, and JK = 32 feet. Find the measure of ∠J to the nearest tenth of a degree.
Answer: J = 20.1
Step-by-step explanation:
sin J = hypotenuse/opposite = 11/32
Sin J =11/32
J=sin-1(11/32)
J= 20.1055
NEED HELP WHAT IS THE SLOPE!!
Answer:2/3
Step-by-step explanation:
Slope is 2/3
Can somebody plz help solve this word problem using a equation or showing a way how u got the answer thx :3
WILL MARK BRAINLIEST WHOEVER ANSWERS THIS FIRST :DD!!
Answer:
598 possibly because you multiply 46 x 13
Solve problem using substitution
a = 3b + 1
5b - 2a = 1
Find the perimeter of the triangle NET
(29 points!!!)Enter the correct answer.
in the rectangle ABCD, BD =96. What is the length of ED?
Diagram not drawn to scale.
Numeric answer only Do NOT include units (degrees, inches, feet, etc).
Answer:
48
Step-by-step explanation:
Do 96/2=48
i need help
38 = 15 + n
Answer:
n=23
Step-by-step explanation:
38=15+n
step 1 subtract each side by 15
23=n
n is equal to 23
hope this helps :)
Answer:
n=23
Step-by-step explanation:
38-15=23 you gotta subtract
Find the area of the given rectangle.
Answer:
3x^2+10x-48
Step-by-step explanation:
(3x-8)(x+6)
3x*x+18x-8x-48
3x^2+10x-48
Answer:
C
Step-by-step explanation:
(x - 7.49 = 87.3) what does the variable x=
Answer:
x= 94.79
Step-by-step explanation:
x= 87.3+7.59
x= 94.79
