Answer:
$1.46
Step-by-step explanation:
We can use the principal of compound interest to solve this with the formula:
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
where P = initial principal
r = interest rate
n = number of times applied per time period
t = time periods elapsed
In this specific case, P = 0.55, r = 0.05, n = 1, and t =20
[tex]0.55(1+\frac{0.05}{1})^{1*20} = 0.55(1.05)^{20} = 0.55(2.65) = 1.46[/tex]
Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as
R = {(a, b): b = a + 1} is reflexive, symmetric or transitive.
Answer:
The answer is R is neither reflexive, nor symmetric, nor
transitive.
Step-by-step explanation:
Let A = {1, 2, 3, 4, 5, 6}.
A relation R is defined on set A as:
R = {(a, b): b = a + 1}
R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}
We can find (a, a) ∉ R, where a ∈ A.
For instance,
(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R
R is not reflexive.
It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.
R is not symmetric.
Now, (1, 2), (2, 3) ∈ R
But, (1, 3) ∉ R
R is not transitive
Thus, R is neither reflexive, nor symmetric, nor transitive.
there are only r red counters and g green counters in a bag. a counter is taken at random from the bag. the probability that the counter is green is 4/9. the counter is put back in the bag. 4 more red counters and 2 more green counters are put in the bag. the probability that the counter is green is 10/23. find the number of red counters and the number of green counters that were in the bag originally.
Answer:
35 : 28
Step-by-step explanation:
Check the attachment.
What is the distance between the points (7,4) and (4,4)
[tex]\text{Given that,}\\\\(x_1,y_1) = (7,4)~ \text{and}~ (x_2,y_2)=(4,4)\\\\\text{Distance,}~ d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{(7-4)^2+(4-4)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{3^2}\\\\~~~~~~~~~~~~~~~~=3[/tex]
What is the order from least to greatest 1/5 1/10 0.5
Answer:
1/10
1/5
0.5
Explanation:
1/10 = 0.1
1/5 = 0.2
$52 lunch; 2.5% tax what is the answer
Answer:
$53.30
Step-by-step explanation:
2.5% of 52 is 1.3
1.3 + 52 = 53.30
hope this helped :)
Answer:
$53.30
Step-by-step explanation:
Cost of lunch : $52
Tax : 2.5%
Divide the tax (2.5%) by 100
2.5 ÷ 100 = 0.025
Multiply 0.025 by the cost of the lunch ($52) to get the sales tax.
52 × 0.025 = 1.3
Now, add 1.5 (sales tax) with 52 (cost of lunch).
52 + 1.3 = 53.30
So, the total cost of the lunch + tax is $53.30.
Hope this helped !
Help I need answer now
X=?
Answer:
0.6
Step-by-step explanation:
I used 30 60 90 triangle.
Given that y is inversely proportional to ( x + 7) and that y = 5 when x = 2,express y in terms of x..... Please help
Answer:
like if it's rere it's ree duh awsee a
What is the slope of the given line? (Use only whole numbers or fractions to answer)
What is the y-intercept of the given line? (Put your answer as the y-intercept point with no spaces)
Answer:
answer is -1/2
have a nice day
The figure shows the dimensions of a room. How much carpet is needed to cover its floor? 15 ft 10 ft
Answer:
150 ft² of carpet is needed
Step-by-step explanation:
Dimensions of the floor :
15 ft (length)10 ft (width)∴ Area of carpet required = Area of floor
Area of floor
length x width15 ft x 10 ft150 ft² of carpet is neededArea:-
Length×widthLB15(10)150ft^2Pythagorean Theorem. Show your work.
Step-by-step explanation:
First you do 2 squared plus 5 squared since it is A and B
2² + 5² = 29
Then you square root 29
which is 5.385164807 or 5.4 when you round
help please will mark brainliest
Answer: 450
Step-by-step explanation:
What are souloutions to (x+9)^2=49
Select three ratios that are equivalent to 7:6,
Answer: 12:14 21:18 42:36
Carter says that 0.08 is equivalent to 8/10. Describe and correct Carter's error
Answer:
Step-by-step explanation:
If we divide 8 by 10, we get 8/10, which reduces to 4/5 or 0.8. Carter misplaced his decimal point.
please help I can't find the mean
Answer:
add all and devide by the amount of numbers so in this case 0+5+6+7+7 devided by 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
0 + 5 + 6 + 7 + 7 = 25
25/5 = 5
Which quadratic equation is equivalent itto * (x - 4) ^ 2 - (x - 4) - 6 = 0 ?
Answer:
[tex]x2 - 9x + 14 = 0[/tex]
Step-by-step explanation:
x2 - 9x + 14 = 0
Please help me ASP! Could anyone tell me what 3 x what gets me to 90?
Answer:
3*30 = 90
Step-by-step explanation:
3*30 = 90
Share OMR 120 in the ratio 1.5 : 0.5
Answer:
90:30 is the answer
only if we use over 2
PLEASE HELP QUICKKKK I GIVE BRAINLYIST PLEASEE
Answer:
7
Step-by-step explanation:
As you can see, each time (let's say n) increases by 1, it divides by 1/2. So from a1 to a2, you get 28/2 or 14, then from a2 to a3, 14/2 or 7.
7 being your answer.
Answer:
7Step-by-step explanation:
Given the recursive formula.
[tex]a_1=28\\a_n=1/2a_{n-1}[/tex]Use it to determine the value of te third term.
[tex]a_3=1/2a_2=1/2(1/2a_1) = 1/4a_1=1/4(28) = 7[/tex]PLEASE HELP WILL GIVE BRAINLIEST!!!!
Drag and drop the angle pairs to correctly match their
description
vertical angles
complementary
angles
supplementary
angles
adjacent angles
that are neither
complementary nor
supplementary
What are you dragging so I can help?
The length of a rectangle is 7 cm greater than its width. The area of the rectangle is 260 cm². This situation can be expressed by the equation w^2+7w−260=0.
What is the width of the rectangle? Remember that a measurement can only be positive.
Enter your answer in the box.
Answer:
I think the answer is 15 but I am not sure hoping this helps good luck
Answer:
its 13
Step-by-step explanation:
Find the x- and y-intercepts of the equation - 4x + 2y = 20
Answer:
y-intercept: 20
x-intercept: 5
Step-by-step explanation:
First, you want to rearrange the equation to make y on one side
2y=20-4x
Next, the y-intercept is 20.
Then to find the x-intercept, you have to make the equation equal to 0.
20-4x=0
Now, you solve for x.
20-4x=0
-4x=-20
-x=5
x=5
The x-intercept is 5.
Please help l just don’t understand new topic
How much food can this container hold? Express your answer in terms of it. 277 in. 3 in. 9 in. 187 in 3 811 in. Ort in. 3 00
AGHHH HELP
Answer:
27 pi in^3
Step-by-step explanation:
volume of the cone
= 1/3 x pi x r^2 x h
= 1/3 x pi x(3)^2 x (9)
= 27 pi in^3
PLEASE HELP!!! I WILL GIVE BRAINLIEST!!! AND NO LINKS PLEASE!!!!!
Answer:
To get the discount for the 5 pound bag of apples, we must first note the following:
The original price of the apples, which in this case it is 2.99
Also we must note the sale price for the apples which is 1.59
to get the discount for apples we must then create an equation based on the above information,
Discount for A= original price -sale price
Discount for A=2.99-1.59
Discount for A=1.40
Part 1 Answer is 1.40 which is the discount for apples at Handy Dandy Grocery.
Part 2
To get the discount for oranges we follow the same steps.
Discount for R= Original price for R -sale price for R
Discount for R=3.99-2.59
Discount for R=1.40
In conclusion, for both part one and part two we can derive a formula based on the apples and orange and say discount in both cases is arrived by the following:
D=Op-Sp. ( d= discount, Or= original price, Sp= sale price.)
Answer:
I'm not certain I understand what is being requested. Please see the attached explanation for two different approaches.
Step-by-step explanation:
See attachment.
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
The answer would be team D as their range is 24.
Step-by-step explanation:
Team A: range of 27
Team B: Range of 32
Team C: Range of 27
Team D: Range of 24
Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.
Instructions: Find the measure of the indicated angle to the nearest degree.
Answer:
first question = 57 degrees
second question = 27 degrees
Step-by-step explanation:
use trigonometry and SOH CAH TOA
then rearrange to find the value of x
using the power of -1
Explain the difference between a polygon that is regular and a polygon that is not regular
Regular polygons have equal sides
Irregular polygons have unequal sides
Answer:
regular polygons have sides and interior angles that are the same and irregular polygons have sides and interior angles that are different
Step-by-step explanation:
Solve algebraically for x: -2/3(x+12)+2/3x=-5/4x+2 pls explain
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]\dfrac{-2}{3} (x+12)+\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Start out by simplifying the distributive property on the left hand side.
[tex]\implies \dfrac{-2x}{3} + \dfrac{(-24)}{3} +\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Combine like terms on the left hand side.
[tex]\implies x\huge\text{(}\dfrac{-2}{3} + \dfrac{2}{3}\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
Simplify the left hand side.
[tex]\implies x\huge\text{(}0\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
[tex]\implies x\huge\text{(}0\huge\text{)} - 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies0- 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies-8 =\dfrac{-5x}{4} +2[/tex]
Subtract 2 both sides.
[tex]\implies-8 -2 =\dfrac{-5x}{4} +2 - 2[/tex]
[tex]\implies-10 =\dfrac{-5x}{4}[/tex]
Use cross multiplication.
[tex]\implies-10 \times 4 =-5x[/tex]
[tex]\implies-40 =-5x[/tex]
Divide -5 both sides.
[tex]\implies \dfrac{-40}{-5} =\dfrac{-5x}{-5}[/tex]
[tex]\implies 8=x[/tex]
Thus, the value of x is 8.
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]-\dfrac23(x+12)+\dfrac23x=-\dfrac54x+2[/tex]
Multiply both sides by 3:
[tex]\implies -2(x+12)+2x=-\dfrac{15}{4}x+6[/tex]
Multiply both sides by 4:
[tex]\implies -8(x+12)+8x=-15x+24[/tex]
Expand brackets:
[tex]\implies -8x-96+8x=-15x+24[/tex]
Combine like terms:
[tex]\implies -96=-15x+24[/tex]
Add 15x to both sides:
[tex]\implies 15x-96=24[/tex]
Add 96 to both sides:
[tex]\implies 15x=120[/tex]
Divide both sides by 15:
[tex]\implies x=8[/tex]