Answer:
43.407 years
Step-by-step explanation:
Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take for Zoe's account to reach $7,000?
We are asked to find time t in a compound interest formula
The formula is given as:
t = log(A/P) / n[log(1 + r/n)]
A = Total amount = $7000
P = Principal = $600
n = number of times interest is compounded = Quarterly =4
r = Interest rate = 5.7% = 0.057
Hence,
t = log(7000/600) /4[log (1 + 0.057/4)]
t = 43.407 years
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each club
member must select for the club to meet the goals?
Answer:
The correct answer is 10n ≥ 470.
Step-by-step explanation:
Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.
They already collected 30 canned goods, therefore we can subtract this quantity from out goal.
500 - 30 = 470
Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.
Hope this helps! :D
Please answer!!!!
Express (x + 9)2 as a trinomial in standard form.
Answer:
x² +18x +81
Step-by-step explanation:
(a+b)²=a²+b²+2ab
(x+9)² = x²+9²+2*x*9= x² +18x +81
Help pleaseeeeeeeeeeee
Answer:
a
Step-by-step explanation:
determine the x-intercepts of the function. check all that appy
Answer:
the answer to that is =(-2,0) , because when you draw your graph you can see where the curve touches, the x axis on -2 and 0.
Answer:
(- 2, 0 ) and (0, 0 )
Step-by-step explanation:
The x- intercepts are where the graph intersects with the x- axis.
Here, there are 2 points where the graph crosses the x- axis, that is
(- 2, 0 ) and (0, 0 )
Carlos and Ana were asked to find an explicit formula for the sequence -10,-4,2,8,...−10,−4,2,8,...Minus, 10, comma, minus, 4, comma, 2, comma, 8, comma, point, point, point, where the first term should be f(1)f(1)f, left parenthesis, 1, right parenthesis. Carlos said the formula is f(n)=-10+6nf(n)=−10+6nf, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 6, n. Ana said the formula is f(n)=-10+6(n-1)f(n)=−10+6(n−1)f, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 6, left parenthesis, n, minus, 1, right parenthesis. Which one of them is right?
Answer:
Ana is correct
Step-by-step explanation:
Given
[tex]Sequence:\ -10, -4, 2,8[/tex]
[tex]Carlos; f(n) = -10 + 6n[/tex]
[tex]Ana; f(n) = -10 + 6(n-1)[/tex]
Required
Determine who is right?
To do this, we simply test each sequence.
For Carlos:
When n = 1
[tex]f(1) = -10 + 6 * 1 = -10 + 6 = -4[/tex]
When n = 2
[tex]f(2) = -10 + 6 * 2 = -10 + 12 = 2[/tex]
This is incorrect because the first and second term of the sequence are -10 and -4 not -4 and 2
For Ana:
When n = 1
[tex]f(1) = -10 + 6(1-1) = -10 + 6*0 = -10 + 0 = -10[/tex]
When n = 2
[tex]f(2) = -10 + 6(2-1) = -10 + 6*1 = -10 + 6 = -4[/tex]
When n=3
[tex]f(3) = -10 + 6(3-1) = -10 + 6*2 = -10 + 12 = 2[/tex]
When n = 4
[tex]f(4) = -10 + 6(4-1) = -10 + 6*3 = -10 + 18 = 8[/tex]
This is correct.
Hence, Ana is correct
Answer:
Ana is right
Step-by-step explanation:
Mark the other person brainliest they did really good!
what is the nth term of the arith metic sequence 10,16,22,28,......?
Answer:
nth term = 6n + 4 where n = no. of terms.
I hope it will be useful.
Answer:
[tex]a_{n}[/tex] = 6n + 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 16 - 10 = 6, then
[tex]a_{n}[/tex] = 10 + 6(n - 1) = 10 + 6n - 6 = 6n + 4
PLEASE PLEASE HELP I WILL GIVE BRAINALIST AND EXTRA POINTS
What is the square root of 100,000,000
Answer:
I think 10,000
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
The dimensions of a tin box are 4m * 3.5 m * 3m. If 25 such boxes are to be made. Find the area of the tin sheet required.
Answer:
1750 m²
Step-by-step explanation:
Dimension of tin box = 4m * 3.5 m * 3m
Length, l = 4 ; width, W = 3.5 ; height, h = 3
Total Surface area= 2(lw * lh * wh)
= 2((4*3.5) + (3.5*3) + (3.5 * 3))
= 70 m³
Area required to make 25 ;
25 * 70m³
= 1750 m³
The ratio of lions to tigers is
Salma used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy: Two irregular quadrilaterals ABCD and EFGH are drawn. EFGH is the photocopy of design ABCD. AB measures 15 meters, DC measures 17 meters. No dimensions are shown on EFGH. The ratio of AD:EH is 1:2. What is the length, in meters, of side GH on the photocopied image? 15 17 30 34
Answer:
The answer is 34
Step-by-step explanation:
The ratio of AD:EH is 1:2, so therefore the other line segments have the same ratio. Using this logic, we see that DC is equal to 17 m, and we need to find GH. All we do now is double the measurement of DC since the ratio of the two shapes is 1:2.
Therefore, 17 * 2 = 34
Answer:
34
Step-by-step explanation:
hope this helps
Choose all of the equations for which x=2 is a solution.
Can someone help explain this to me!!! Been stuck on it for a while!!!
Answer:
Step-by-step explanation:
in the formula given. Asin(Bx) the A does mean Amplitude and the Bx is how fast the function repeats... and b/c sin is a function of pi (π) then if we want it to repeat every 2 of x then.. we do need to know the units of X .... but.. here it's just a number.. so we have to add the pi part.. b/c sin repeats every 2pi.... sooo....we are told that it's supposed to have an Amplitude of 3.... just how tall is the highest peak of the sin wave... so that's A = 3 .. and to repeat each time x gets to a multiple of 2.. like 2,4,6, ... ect.
so we have to add the pi part... so that each time x gets to 2 .. the function starts over. :/ this sounds confusing to me.. even as I explain it.. :/
A=3 B=π I'm sure that didn't help much :D ask a question i'll check back
Bill, Phil and Jenny are siblings. Bill is twice as old as Phil. Jenny is two years younger than Bill. Currently, their dad is twice as old
as the sun of their ages. In nine years, their dad's age will be equal to the sum of his three kids' ages at that time. What is Jenny's
current age?
Answer:
as below
Step-by-step explanation:
current ages
Bill is 8
Jenny is 6
and Phil is 4
the dad is 36
9514 1404 393
Answer:
6
Step-by-step explanation:
Let p, b, j, d represent the ages of Phil, Bill, Jenny, and Dad. We are given the relations ...
b = 2p
j = b -2
2(p +b +j) = d
(p+9) +(b+9) +(j+9) = d+9
_____
Solving the last equation for d, we get ...
(p +b +j) +18 = d
Substituting for the sum of p, b, j in the third equation, we have ...
2(d -18) = d
d = 36 . . . . . . . . add 36-d
Substituting for b and j in the third equation, we get ...
2(p +(2p) +(2p-2)) = 36 . . . . . uses b=2p in the 2nd equation
10p -4 = 36 . . . . . . . . . . . . . . . collect terms
p = 40/10 = 4 . . . . . . add 4; divide by 10
b = 2p = 8
j = b -2 = 6
Jenny's current age is 6.
_____
All of the ages are ...
Bill: 8; Jenny: 6; Phil: 4; Dad: 36
The graph shows a system consisting of a linear equation and a
quadratic equation.
8
What is the solution to the system?
7
6
5
(3, 7)
4
3
(-1, 3) and (3, 7)
2
3 and 7
1
-1 and 3
-3-2
1
2
3
4
5
-3
-4
-5
1 2
3
4
5
7
9
Next
Answer:
(-1,3) and (3,7)
Step-by-step explanation:
The solution to the system can be obtained from the points where the linear equation crosses the quadratic model
We have this at the points;
(-1,3) and (3,7)
help me please i need help
Answer:
its blurry for me sorry
Step-by-step explanation:
The price of a DVD is $24.00 plus %8 sales tax. What is the sales tax on this DVD in dollars and cents
Answer:
Sales tax is $1.92 or 192 cents.
I hope this helps! Have an awesome day!
answer all of the questions please
Answer:
Domain (-2,3)
Range (-10, 20)
Function: Definitely
Step-by-step explanation: So check it right. Starting with Domain how far do our values go in the x direction positive and negative in this case the farthest to the left is -2 and to the right is 3. For range same thing but now we look at the y axis -10 is lowest and 20 is the highest. Open circles don't affect our domains or range but they are important for determining functions. This is a function because going up and down the graph vertically at any points doesn't collide with any point more than once. If the open circle were closed then this would not be a function but in this case it is a function.
Simplify.
−3+80÷8−5⋅(−1) plz help
Answer:
18
Step-by-step explanation:
-3 + 80 ÷ 8 -5 · (-1) ⇒ -3 + 10 + 5 ⇒ 18
!!! Please help me out. precalc math. will report if answer is n/a
Answer:
x intercept = (3,0)
vertical asymptote = 2
Step-by-step explanation:
IMPORTANT!!!
It's blank 2 first then blank 1, don't get it mixed up!
An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. What is the probability that the sun of the dots is 7 or 11
Answer:
4 /9
Step-by-step explanation:
Given that :
Number of faces on a number cube = 6
Sample space for two number faces = 6² = 36
Probability that sum of a roll is 7 or 11:
Probability = number required outcome / Total possible outcomes
Number of Required outcome = number of 7's + number of 11's
Number of 7's = 6
Number of 11's = 2
Total = 8
Total possible outcomes = 6² =36
P(sum of 7 or 11 ) = 8 /36 = 4 /9
a football was selling for 35% off the original price. the original price was $50. what is the sale price of the football?
Answer:
Concept: Mathematical Analysis
Original: 50 usd Markdown: 30% Hence 50 × 0.30 =15 usdSo the sale price is 35 usdPlz help me! I really appreciate it
Answer:
The equation y = [tex]-\frac{8}{7}[/tex] x - 7 represents a line perpendicular to the given line
Step-by-step explanation:
The product of the slopes of the perpendicular lines is -1, which means if the slope of one line is m, then the slope of the perpendicular line to it is [tex]\frac{-1}{m}[/tex] (negative reciprocal)
The slope of the equation ax + by = c is [tex]\frac{-a}{b}[/tex], where a, b, c are constantThe slope of the equation y = m x + b is mLet us solve the question
∵ The equation of the given line is 7x - 8y = 16
∴ a = 7 and b = -8
→ Use the rule above to find the slope of it
∵ The slope of the given line = [tex]\frac{-7}{-8}[/tex]
∴ The slope of the given line = [tex]\frac{7}{8}[/tex]
To find the slope of the perpendicular line to it reciprocal the fraction and change its sign
∴ The slope of the perpendicular line = [tex]-\frac{8}{7}[/tex]
→ Look at the answer to find the equation which has this slope
∴ The equation of the perpendicular line is y = [tex]-\frac{8}{7}[/tex] x - 7
it's this a function
9,-2 4 , 3 8 ,10 -4 ,8
Answer:
Yes it is because non of the numbers in the domain repeat.
Step-by-step explanation:
Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
x cubed (RootIndex 3 StartRoot y EndRoot)
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 27 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 24 Baseline (RootIndex 3 StartRoot y EndRoot)
Answer:
Answer is D
Step-by-step explanation:
On Edge 2020
In how many years the simple interest on ₹2000 is less than the simple interest on ₹33000 at 5% by ₹50?
[Irrelevant answers will be reported]
Answer:
0.0322580
Step-by-step explanation:
Simple interest : principal * rate * time
(simple interest on 33000) - (Simple interest on 2000) = 50
Let Time = t
2000 * 0.05 * t = 100t
(33000 * 0.05 * t) = 1650t
1650t - 100t = 50
1550t = 50
t = 50 / 1550
t = 0.0322580
3) Graph by making a
table.
y=x
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]y = x[/tex]
Required
Plot the graph
First, we need to make a table.
To do this, we assume values for x
When [tex]x = 1[/tex]
[tex]y = x = 1[/tex]
[tex](x_1,y_1) = (1,1)[/tex]
When [tex]x = 2[/tex]
[tex]y = x = 2[/tex]
[tex](x_2,y_2) = (2,2)[/tex]
When [tex]x = 3[/tex]
[tex]y = x = 3[/tex]
[tex](x_3,y_3) = (3,3)[/tex]
When [tex]x = 4[/tex]
[tex]y = x = 4[/tex]
[tex](x_4,y_4) = (4,4)[/tex]
So, the table is:
[tex]x || 1 || 2 || 3 || 4[/tex]
[tex]y || 1 || 2 || 3 || 4[/tex]
See attachment for graph
enlist education system found in Nepal
Answer:
Education in Nepal was long based on home-schooling and gurukulas.[citation needed] The first formal school (Durbar School), established by Jung Bahadur Rana in 1853, was intended for the elite. The birth of Nepalese democracy in 1951 opened its classrooms to a more diverse population.[citation needed] Education in Nepal from the primary school to the university level has been modeled from the very inception on the Indian system, which is in turn the legacy of the old British Raj.[1]
Step-by-step explanation:
Mark as brainliest
Follow me
5
X-2
2
3
{x+1
I need help
Answer:
is this a question or we suppose to slice it or what
Answer:
− 218 x − 223
Step-by-step explanation:
jackie won tickets playing the bowling ball game at a local arcade