Answer:
[tex]x {}^{2} + 5x + 6 \\ {x}^{2} + 3x + 2x + 6 \\ x(x + 3) + 2(x + 3) \\ (x + 3) (x + 2)\\ \\ ( {x}^{2} + x - 6) \\ {x}^{2} + 3x - 2x - 6 \\ x(x + 3) - 2(x + 3) \\ (x - 2)(x + 3) \\ \\ {x}^{2} - 9 \\ (x - 3)(x + 3) \\ \\ the \: hcf \: = (x + 3)[/tex]
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
A. b ≤ -3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
C
Step-by-step explanation:
Solve for x in ½ logx64 = 3
(A)
2
(B)
1
(C)
4
(D)
3
Answer:
A
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] = n logx
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3
[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3
[tex]log_{x}[/tex] 8 = 3
8 = x³
2³ = x³ , then
x = 2
Monica deposits $300 into a savings account that pays a simple interest rate of 3.9%. Paul deposits 400$ into a savings account that pays a simple interest rate of 3.2%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
Answer:
For Monica : Principle = $300 rate : 3.4% time 1 yr
Simple interest = Prt/100 = 300*3.4*1/100 = 1020/100= $ 10.2
For Paul : Principle = $400 rate : 2.8% time 1 yr
Simple interest = Prt/100 = 400*2.8*1/100 = 1120/100= $ 11.2
Step-by-step explanation:
answer this 1 question
Answer:
I have attached my answer below.
Step-by-step explanation:
Not sure if its correct or not. Hope this helps!!
What is the absolute value of - 2 2/3
Answer:
2 2/3
Step-by-step explanation:
absolute value means the distance between a number and 0 so therefore the absolute value s 2 2/3
Elizabeth invested $970 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded daily. Matthew invested $970 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded continuously. After 8 years, how much more money would Matthew have in his account than Elizabeth, to the nearest dollar?
Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
Continuous compounding:
[tex]A(t) = Pe^{rt}[/tex]
The parameters are:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.For both of them:
Investment of $970, hence [tex]P = 970[/tex]Invested for 8 years, hence [tex]t = 8[/tex]Elizabeth:
Compounded daily, hence [tex]n = 365[/tex].Rate, as a percent, of [tex]6\frac{5}{8} = 6 + \frac{5}{8} = 6.625[/tex], hence [tex]r = 0.06625[/tex].Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]
[tex]A(8) = 1648[/tex]
Matthew:
Rate, as a percent, of [tex]6\frac{3}{4} = 6 + \frac{3}{4} = 6.75[/tex], hence [tex]r = 0.0675[/tex].Then:
[tex]A(t) = Pe^{rt}[/tex]
[tex]A(8) = 970e^{0.0675(8)}[/tex]
[tex]A(8) = 1665[/tex]
The difference is:
1665 - 1648 = 17
Hence, Matthew would have $17 more than Elizabeth in his account.
A similar problem is given at https://brainly.com/question/24507395
What is the missing divisor?
966 divided by ?=161
Answer: its 6
Step-by-step explanation: just divide 966 by 161 and the answer would be 6
Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.a.Ron will meet his monthly goal of exactly $4,123 for retirement.b.Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.c.Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.d.Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.
Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
What is Compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given monthly income of Ron is $3,142.23
Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.
Total amount he contribute in 40 years paying 5.5% compounded monthly is given by
interest rate(r) = 0.055/12
time period = 40 years = 480 months
Principal amount = $314.223
Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]
Substitute, we get,
= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]
Thus, future value is $547074.681009.
After retirement his monthly income when he has $547074.681009 amount.
P = (A.i/2)/(1-(1+i/12)⁻ⁿ)
Putting values, we get,
P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰
P = $3763.25
He will receive a monthly income of $3763.25.
But given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.
So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74
Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
For more references on Compound interest, click;
https://brainly.com/question/14295570
#SPJ5
From a box of 120 mangoes, Brent sold 60%. How many mangoes were left?
Given:-
From a box of 120 mangoes, Brent sold 60%.To Find :-
How many mangoes are left .Solution :-
According to the question, box has 120 mangoes . The number of mangoes he sold will be ,
[tex]\longrightarrow[/tex] n(sold) = 60% of 120
[tex]\longrightarrow[/tex] n(sold) = 60/100 × 120
[tex]\longrightarrow[/tex] n(sold) = 3/5 × 120
[tex]\longrightarrow[/tex] n(sold) = 72
Hence the number of mangoes left will be ,
[tex]\longrightarrow[/tex] n(left) = 120 - 72
[tex]\longrightarrow[/tex] n(left) = 48
Hence the number of mangoes left is 48.
A phone is regularly priced at $350. If you get it on sale for 15% off, how much do you pay?
help me it would be nice if you could help me
Answer: B (x=1)
The x-axis shows all the zeros (solutions).
If you were trying to find the slope and the equation of the line, you would go y/x for the slope.
While, b is the y axis, which is 3 in this case.
And the slope is 3/1, which is rise over run (y/x)
Linear equations: y = mx+b
Quadratic equation: ax^{2}+bx+c
(Not going to go in much more depth)
The equation of this line is y = 3x + 1
Which function has the smallest y-intercept value?
A
у
4
4
h(x)
2.
X
- 2
2.
4
+2
4
OB.
(x) =
= 2 + 10
A linear function, f, with an x-intercept of 3 and a y-Intercept of 6.
OC.
OD.
х
1
2
3
4
g(x)
1
-4
-9
-14
Answer:
Could you... put it normally?
Step-by-step explanation:
It's kinda confusing to read, so much understand
What is 5261.436 rounded to the nearest thousand?
Answer:
5261.436 would be the answer
si el examen tenia 44 puntos y saque 40 ¿Que nota tengo?
Answer:
90%
Step-by-step explanation:
A machine cuts a strip of carpet into 2 pieces. the length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (A, 13.5 B, 14 C, 20 D, 28) meters and the total length of the carpet is (A- 25.5, B- 26, C- 32, D- 40) meters
Answer:
The answer to the is 28 and 40! hope this helps love
find the missing triangle measurements. I WILL GIVE BRAINLIEST! PLEASE
Answer:
ABC= 60
DCE= 65
DEF= 105
Step-by-step explanation:
Answer:
60°; 65°; 115°Step-by-step explanation:
ΔABC is equilateral since all sides marked as congruent. Therefore:
m∠ABC = 60°ΔCDE is isosceles since two sides marked as congruent:
m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°∠DEF forms a linear pair with ∠DEC, so they sum to 180°:
m∠DEF = 180° - 65° = 115°(2x-1) (x+3)
Expand
Answer:
2x^2+5x-3
Step-by-step explanation:
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
answer..............................
Answer:
yes
Step-by-step explanation:
Evaluate. 12⋅(1/4+1/3)2+2/3 enter your answer as a mixed number
Answer:
14 2/3
Step-by-step explanation:
i took the test
I need the answer if you know write with explination if you don't know don't answer
Answer:
ABD ≅ ACD and PQS ≅ PRS
Step-by-step explanation:
For ABD ≅ ACD;
AB = AC = 3.5
BD = CD = 2.5
AD ≅ AD by reflexive
Since all 3 sides are congruent, SSS can be used
For PQS ≅ PRS
PQ≅PR by given
QS≅RS by given
PS≅PS by reflexive property
Since all 3 sides are congruent, SSS can be used and they are congruent
At the produce store you can buy 5 bags of bananas for $23.15 . How much would it cost if you were to buy 6 bags?
Answer: $26.16
Step-by-step explanation:
23.15 / 5 = 4.63
4.63 x 6 = $26.16
Find the values of x and y, and z
Answer:
z = 15
y = 8
x = 7
Step-by-step explanation:
All of the angles added together equal 180.
4z + 4z + 4z = 180
z = 15
3y - 1 = 23 ( all sides equal each other because all angles equal each other )
y = 8
2x + 9 = 23 ( similar to how I found y )
x = 7
I hope this helps!!
Anna wants to bake $2\frac{1}{2}$ dozen cookies for a party. However, the recipe she has only makes a dozen cookies. If the original recipe calls for $1\frac{1}{4}$ cups of sugar, how many cups of sugar does she need to make the cookies for her party?
Sin x= cos y show that x+y=90
Answer:
just do sinx and cos y equal when x=y= multiple of pie by 4
Step-by-step explanation:
pie by 4 plus pie by 4 = 90
If I helped please mark brainliest it means a lot to my progression! <3 Thanks!
plzz help me no link plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Zara ate 50 almonds last week
Step-by-step explanation:
part to whole ratio is 50 : 100
150 divided by 2 is 75
100 divided by 50 is equal to 2
Zara ate 50 almonds last week
pls mark brainliest if this helped :)
Wayne took his family out to dinner. The cost of the food was $42.50. Wayne decided to give a 30% tip because of excellent service. The tax was 4% of the cost of the food. What was the total amount the meal cost him?
Answer:
$56.29
Step-by-step explanation:
i need help with how to reason it
Answer:
X=80
Step-by-step explanation:
As 100⁰ is Opposite to B and AD and EH Are PARALLEL so B=100⁰
180-100
=80⁰
MARK ME BRAINLIESTwhere the mathematicians at ☺️
Answer:
C.
Step-by-step explanation:
It is correct because the line on the graph goes up (increases) then it goes back down (decreases)
Answer:
The graph increases, then decreases
Step-by-step explanation:
The graph goes up, showing it increases, then drops down, showing it decreases.
Hope this helps!
Plzzz help I’ll give u 30 pts
Answer: number 4 is +(positive) because the exponent is even.
Number 5 is -(negative) because the exponent is odd.
Step-by-step explanation:
7) Solution:
→ (2)³
→ 2 × 2 × 2 {Expanded form}
→ +8
Ans: Positive
4) Solution:
→ (-6)⁴
→ -6 × -6 × -6 × -6
→ +1296
Ans: Positive
5) Solution:
→ (-3)⁷
→ -3 × -3 × -3 × -3 × -3 × -3 × -3
→ -2187
Ans: Negative
write a linear function
Answer:
The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.
Step-by-step explanation: