Answer:
The opposite number is 2 and the distance is 4.
Step-by-step explanation:
When investing money in a bank account, in which situation will you have the most money in your account at the end of three years?
Compounded semiannually
Compounded yearly
Compounded quarterly
Compounded monthly
Answer:
continuously is the most, and what is actually done at the banks...
as for your answer:
Compounded monthly
Step-by-step explanation:
When investing money in a bank account, you will have the most money in your account at the end of three years when compounded monthly.
What is compound interest?Compound interest is the interest you earn on interest.
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
Where,
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
To check in which situation we will earn the most money in end of three years, we calculate the final amount in each situation keeping other variables constant.
Let
P = 5000
r = 5%
t = 3 years
When compounded annually,
[tex]A = 5000(1 + 0.05)^{3} = 5788.125[/tex]
When compounded semiannually,
[tex]A = 5000(1 + 0.025)^{6} = 5798.467[/tex]
When compounded quarterly,
[tex]A = 5000(1 + 0.0125)^{12} = 5803.772[/tex]
When compounded monthly,
[tex]A = 5000(1 + 0.0125)^{12} = 5807.361[/tex]
Thus, it can be said that you have the most money in your account at the end of three years when compounded monthly.
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May anyone help me please and thank you
Answer:
Step-by-step explanation:
: v
Answer:
(x + 10)² = 4
Step-by-step explanation:
Given
2x² + 192 = - 40x ( add 40x to both sides )
2x² + 40x + 192 = 0 ( subtract 192 from both sides )
2x² + 40x = - 192 ( divide through by 2 )
x² + 20x =- 96
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(10)x + 100 = - 96 + 100
(x + 10)² = 4
6. 792 = *
A. (7 x 10) + (3 x 4) + (2 x 1)
B. (7 x 11) + (3 x 3) + (2 x 1)
C. (7 x 11) + (3 x 4) + (2 x 1)
D. (7 x 10) + (3 x 3) + (2 x 1)
Answer:
D. (7×10) + (3×3) + (2×1)
Step-by-step explanation:
(7×10)=70 + (3×3)=9 + (2×1)=2
=70+9+2
=792
Name the property: i) (-15) X (-56)
ii) (-72) X 26 = 26 X (-72)
iii) [8 X (-46)] X 32 = 8 X [(-46)] X 32]
iv) (-15) X 105 = [(-15) X (100 +5)] = [(-15) X100] + [(-15) X 5]
Answer:
Open in answr appOpen_in_app
(i)
15
7
=
30
x
⇒x=
15
7×30
=14
(ii)
3
x
=
18
12
⇒x=
18
12×3
=2
(iii)
x
30
=
24
45
⇒x=
45
30×24
=16
(iv)
16
8
=
x
25
⇒x=
8
25×16
=50
Step-by-step explanation:
yeah
Pls help me this is due tomorrow
Step-by-step explanation:
Claim: There's 14 Goats and 9 Chickens!!
Data:
Working with the Provided Information.
Let the Number of goats be x
let the Number of Chickens be y
x + y = 23..... (i)
Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.
The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y
4x + 2y = 74 .....(ii)
BRINGING BOTH EQUATIONS TOGETHER.
x + y = 23
4x + 2y = 74
From Eqn i
x= 23 - y
Substitute into eqn ii
4(23 - y ) + 2y = 74
92 - 4y + 2y = 74
92 - 2y = 74
2y = 92 - 74
2y = 18
y= 9.
Substitute y into any of the eqns to get x
x + y = 23
x + 9=23
x = 23 - 9
x = 14
This simply proves that there are 14 Goats and 9 Chickens!!!.
HAVE A GREAT DAY!
the distance of a point P(x, y) from the origin O(0, 0) is given by OP=__
Answer:-
[tex]\boxed{\sf \sqrt{x^2+y^2}}[/tex]
Explanation:-
P(x,y)O(0,0)We know distance formula
[tex]\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
[tex]\\ \sf\longmapsto OP=\sqrt{(0-x)^2+(0-y)^2}[/tex]
[tex]\\ \sf\longmapsto OP=\sqrt{(-x)^2+(-y)^2}[/tex]
[tex]\\ \sf\longmapsto OP=\sqrt{x^2+y^2}[/tex]
(a + b)2 = 1a2 + 2ab + 1b2
(a + b)3 = 1a3 + 3a2b + 3ab2 + 1b3
How are binomial expansions related to Pascal’s triangle?
The Pascal triangle terms and binomial are related by the binomial theorem fomrula:
The row of the Pascal triangle is the same as
where n is the same as the row of the Pascal triangle.
For example,
.
is the same as the 2nd row of the Pascal triangle.
.
Also know the leading coefficient and last term degree will be the nth row of the Pascal triangle.
The first term, a will be 1 less than the previous terms and the second term, b will be 1 more than the previous terms. For example, look at
.
Another example is
.
The third row of Pascal Triangle
.
.
Pascal's triangle provides a systematic way to determine the coefficients of binomial expansions, making it a valuable tool in algebra and combinatorics.
Binomial expansions are directly related to Pascal's triangle.
Pascal's triangle is a triangular arrangement of numbers in which each number is the sum of the two numbers directly above it. The first and last numbers in each row of Pascal's triangle are always 1.
The coefficients of the terms in a binomial expansion correspond to the numbers in Pascal's triangle. Each row of Pascal's triangle represents the coefficients of the corresponding power of the binomial.
For example, in the expansion of (a + b)², the coefficients are 1, 2, and 1. These coefficients can be found in the third row of Pascal's triangle: 1, 2, 1. Similarly, in the expansion of (a + b)³, the coefficients are 1, 3, 3, and 1, which can be found in the fourth row of Pascal's triangle: 1, 3, 3, 1.
In summary, Pascal's triangle provides a systematic way to determine the coefficients of binomial expansions, making it a valuable tool in algebra and combinatorics.
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Correct answer gets 5 stars and brainliest
Answer:
Step-by-step explanation:
C(3 , -2) & D (7, -8)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]CD = \sqrt{(7-3)^{2}+(-8-(-2))^{2}}\\\\=\sqrt{(7-3)^{2}+(-8+2)^{2}}\\\\=\sqrt{(4)^{2}+(-6)^{2}}\\\\=\sqrt{16+36}\\\\=\sqrt{52}\\\\[/tex]
≈ 7.2 units
B
16 m
A
С
20 m -
Find the area of AABC.
[?] ml
Enter
Answer:
A = 60 m^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 (20)*6
A = 60 m^2
help asap------------
Answer:
the real is -19
the imaginary is -24 (or -24i depending on what the computer is looking for as an answer)
Step-by-step explanation:
Find the distance across the lake. Assume the triangles are similar.
Answer:
202.5
Step-by-step explanation:
[tex]\frac{L}{45}[/tex] = [tex]\frac{90}{20}[/tex] → [tex]\frac{L}{45}[/tex] = [tex]\frac{9}{2}[/tex]
9 x 45 = 405 → 2L=405
L=[tex]\frac{405}{2}[/tex] → L = 202.5
Suppose there are approximately 220 calories in 3 servings of a particular brand of cereal and 362 calories in 5 servings of the same cereal. Find the rate of change.
Answer:
.93 calories per serving
Step-by-step explanation:
220 ÷ 3 = 73.3333333 calories per serving
3 ÷ 220 = 0.0136363636
362 ÷ 5 = 72.4
5 ÷ 362 = 0.0138121547
73.3333333 - 72.4 = 0.9333333 = around .93
Help pls
You add the same amount of money to your savings each week. At week 5 you have $45. At week 12 you have $80. How much money do you have at week 20?
Answer: $120
First, create a function
x = number of weeky = amount of money in savingsa = amount of money added each weekb = the amount of money in savings at week 0[tex]\left \{ {{5a+b=45} \atop {12a+b=80}} \right.\\\\(5-12)a+(1-1)b=45-80\\\\-7a=-35\\\\a=\frac{-35}{-7} =5\\\\5a+b=45\\\\5(5)+b=45\\\\b=45-25=20[/tex]
Therefore, the function is y = 5x + 20
To find the amount of money at week 20, set x = 20 and solve:
[tex]y=5(20)+20=100+20=120[/tex]
Therefore, the answer is $120.
15men can complete a piece of work in25days. how many men should be added to complete the same work in15days.
Answer:
10 menStep-by-step explanation:
Amount of work done by 15 men is:
15 men *25 day = 15*25 man*daysSame work can be done by 25 men, in 15 days, so 10 more men should be added.
Any help is very much appreciated!! (:
Answer:
the third option
Step-by-step explanation:
the 5 pounds weight at birth is the starting value.
so, the function needs to have a constant part of at least +5.
and every month 0.5 pounds are added.
that is exactly the situating to use multiplication : weight gain per month times the number of months (plus the starting value of 5 pounds) delivers the weight after a certain number of months.
w = weight after t months
t = number of months measured
If f(x) = 2x - 4, then prove that, (f-1of)(x) is an identify function.
it's a optional mathematics Questions please solve him
Answer:
f(x)=2x-4
f(1)=2(1)-4
=2-4
f(1)=-2
Sam feels that students score better on math tests that take place on Fridays. The school provides Sam with the school math test average, but they cannot separate them by date taken. The school is too large for him to ask every student, so he randomly selects a sample of willing students' test scores after the next Friday's math test. He uses the method of hypothesis testing to compare the Friday scores against the true average of all scores. Frame the correct set of hypotheses for his research. Decide where the rejection region will lie.
Answer:
H0 : μ ≤ x
H1 : μ > x
The hypothesis :
The null hypothesis, H0 : μ ≤ x
The alternative hypothesis, uses the Friday score samples to compare the hypothesis ;
The alternative hypothesis, H1 : μ > 8
For then null, the mean scores is assumed to be the same, and has such mean of Friday's test score takes the value of the population.
Let the population mean value = x
The alternative hypothesis is the claim that the sampled mean gives a greater value than the population mean :
H1 : μ > x
3 pizzas cost $22.50,how much does 1 pizza cost?
Answer:
7.50
Step-by-step explanation:
Take the total cost and divide by the number of pizzas
22.50/ 3 pizzas
7.50 per pizza
[tex] \rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \frac{Cost \: \: of \: \: 3 \: \: pizzas }{Total \: \: pizzas }[/tex]
[tex]\rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \frac{22.50 }{3 } \\ [/tex]
[tex]\rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \cancel\frac{22.50 }{3 } \: \: ^{7.5} \\ [/tex]
[tex]\rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \: 7.5 [/tex]
Hence, the cost of 1 pizza is $7.5
GIVING BRAINLIEST Graph and solve the inequality y>-|x-5|-1
Answer:
First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.
For:
x
=
0
y
=
0
+
5
y
=
5
Or
(
0
,
5
)
For:
x
=
−
2
y
=
−
2
+
5
y
=
3
Or
(
−
2
,
3
)
We can now plot the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.
The boundary line will be solid because the inequality operator contains an "or equal to" clause.
graph{(x^2+(y-5)^2-0.125)((x+2)^2+(y-3)^2-0.125)(y-x-5)=0 [-20, 20, -10, 10]}
Now, we can shade the left side of the line.
graph{(y-x-5) >= 0 [-20, 20, -10, 10]}
Determine the y-intercept of the quadratic equation Y = x^2 - 4x + 8
9514 1404 393
Answer:
(0, 8)
Step-by-step explanation:
The y-value of the y-intercept is the function value when x=0. That is the constant in the equation, since x=0 will make all of the x-terms be zero.
y-intercept = 8
Please help! For any positive numbers a, b, and, with b≠1, log b(a/d)
Answer:
B
Step-by-step explanation:
when logarithms of the same base (the base in this case is 'b') are being subtracted, divide the arguments ( 'a' and 'd')
15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer. PLEASE HELP ITS RLLY IMPORTANT
Answer:
No
Step-by-step explanation:
The line of best fit should follow the correlation of the data and it should go through as many of the plotted data as possible.
The Data is showing a negative correlation but she has drawn on a positive correlation and it also only goes through 1 point.
Hope this helps :)
The shape is a parallelogram. CD=10cm, BD=7cm. Find it's area.
70
Step-by-step explanation:
here,
area of parallelogram =base ×height
so,
base is given 10 cm and height is given 7 cm
Now
base ×heights
10×7
70
The test statistic of z=2.93 is obtained when testing the claim that p≠0.523. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.01, should we reject H0 or should we fail to reject H0?
Answer:
Step-by-step explanation:
Confidence Level - "P" values
99% 2.58
Confidence Interval - "P" values
(0.5289 , 0.6097 )
Reference=0.523 Reject H0
The width of a rectangle measures (8x + 2) centimeters, and its length measures
(6x + 6) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
20x + 24
28x + 16
Submit Answer
O 8 + 14x
O 10x + 12
Answer:
(28x+16)cm
Step-by-step explanation:
2(8x+2)+2(6x+6)
16x+4+12x+12
28x+16
Perimeter = 2(Length + Breadth)
Perimeter = 2(6x + 6 + 8x + 2) cm
Perimeter = 2(14x + 8) cm
Perimeter = 28x + 16
CORRECT ANSWER IS OPTION B, 28x + 167.2b + 6.5 > 4.8b – 8.1
Answer:
[tex]7.2b+6.5>4.8b-8.1[/tex]
Multiply both sides by 10
[tex]72b+65>48b-81[/tex]
Subtract both sides by 65
[tex]72b>48b-146[/tex]
Subtract both sides by 48b
[tex]24b>-146[/tex]
Divide both sides by 24
[tex]b>-\frac{73}{12}[/tex]
OAmalOHopeO
If 65% of a number is 1105 what is 82% of the number
Answer:
1394
Step-by-step explanation:
Set up equation to find the number:
Variable n = number
65/100 = 1105/n
Cross multiply:
65 × n = 100 × 1105
65n = 110,500
n = 1700
Check your work:
1700 × 65%
Convert percentage into decimal:
1700 × 0.65
1105
Correct!
Find 82% of 1700:
Variable x = 82% of 1700
82/100 = x/1700
82 × 1700 = 100 × x
139,400 = 100x
1394 = x
Check your work:
1700 × 82%
1700 × 0.82
1394
Correct!
The 82% of the original number (1700) is approximately 1394.
Let's denote the original number as N. We know that 65% of N is equal to 1105. We can write this as:
65% of N = 0.65 * N = 1105
Now, to find the value of N, we can rearrange the equation to solve for N:
N = 1105 / 0.65
Now, calculate the value of N:
N ≈ 1700
So, the original number N is approximately 1700.
Next, we need to find 82% of this number. We can express this as:
82% of N = 0.82 * N
Now, substitute the value of N:
82% of 1700 = 0.82 * 1700
≈ 1394
Thus, 82% of the original number (1700) is approximately 1394.
To summarize, first, we found the value of the original number (N) using the given information that 65% of N is equal to 1105. Then, we calculated 82% of N, which turned out to be approximately 1394.
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WILL GIVE BRAINLIEST. Given: SLant Prism, m
Hi! I ran into a similar problem so i will try, but sorry if i get it wrong, so basically all you do i
Which geometric terms are modeled by the Eiffel Tower
What must be added to each term of the ratio 2:5 so that it maay be equal to 5:6
Please give explanation
9514 1404 393
Answer:
13
Step-by-step explanation:
Let n represent that number.
(2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator
6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)
12 +6n = 25 +5n . . . . . . . . . eliminate parentheses
n = 13 . . . . . . . . . . . subtract 5n+12
Adding 13 to each term will give 5/6.
__
Check
(2 +13)/(5 +13) = 15/18 = (3·5)/(3·6) = 5/6
_____
Alternate solution
The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.
