Answer: Neighborhood Bank - 0.65% interest, compounded weekly
Step-by-step explanation:
The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
Given that Gail has $5,500 that she wants to put in a new savings account.
Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
Thus, $5,500 x 0.65% = $35.75
$35.75 a day times 360 days = $12870
$12870 times 20 = $257,400.
$257,400 times 20 = $514800 (16.2mil)
Hence, The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.
Learn more about compound interest here:
https://brainly.com/question/1329401
#SPJ2
What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?
The equation of the line that passes through the point(1, 3) and is perpendicular to the line 2x + 3y = 15 is y = 3 / 2x + 3 / 2.
How to find the equation of a line perpendicular to another?The line passing through (1, 3) is perpendicular to the equation 2x+3y=15.
Therefore,
y = mx + b
where
m = slopeb = y-interceptHence,
3y = -2x + 15
y = -2 / 3 x + 5
For line to be perpendicular it must follow the following rules;
m₁m₂ = -1
m₁(-2 / 3) = -1
-2m₁ = -3
m₁ = 3 / 2
Therefore, the equation can be found as follows:
3 = 3 / 2(1) + b
3 = 3 / 2 + b
b = 3 - 3 / 2
b = 6 - 3 / 2
b = 3 / 2
Hence,
y = 3 / 2x + 3 / 2
learn more on equation of a line here: https://brainly.com/question/21511618
#SPJ2
How many different triangles can you make that have angels 60˚, 60˚, 60˚ ?
Answer:
Infinite
Step-by-step explanation:
A triangle that has all 60-degree angles is equilateral, which means that all side lengths are the same. However, there are infinite possibilities for the side lengths!
I hope this helped, please give brainliest if this is correct! Thank you!
Simply please will give brainlist to first correct answer
At a constant speed, a car travels 75 miles in 60 minutes. How far does the car travel in 18
minutes? If you get stuck, consider using the table.
your answer is
22.5
good luck :)
X-7=13 what does x equal
Answer: 20
Step-by-step explanation:
To answer these types of questions, you have to think about what number minus 7 would equal 13. You can find out by simply adding 13+7. Then check your answer.
20-17=13 is accurate
Tash conducted a survey of the students in her school.
From the results, Tash calculated that 60% of the
students go to school by bus.
Lian knows that 450 students go to school by bus.
How can she use the information to find the number of
students in the school?
Answer:
The total number of students in the school is 750. You can use algebraic equation to calculate the number of the students. Let x be the total number of students in the school. Hope this helps.
Who can answer this? .. if u dk it don’t comment thanks ♡︎ .
A shoe salesperson sold 20 pairs of shoes for $640. A brown pair of shoes sells for $30 and a black pair for $35. How many brown pairs were sold? A. 12 B. 14 C. 15 D. 8
Answer:
12 pairs
Step-by-step explanation:
Represent Brown with B and Black with A
So:
[tex]A + B = 20[/tex] --- Pairs sold
[tex]30B + 35A = 640[/tex] --- Amount
Required
Solve for B (the brown pairs)
Make A the subject in the first equation
[tex]A = 20 - B[/tex]
Substitute 20 - B for A in the second
[tex]30B + 35(20-B) = 640[/tex]
Open bracket
[tex]30B + 700 - 35B = 640[/tex]
Collect Like Terms
[tex]30B - 35B = 640 -700[/tex]
[tex]-5B = -60[/tex]
Divide both sides by -5
[tex]B = \frac{-60}{-5}[/tex]
[tex]B =12[/tex]
Good morning can y’all help me
Answer: The slope is -3
find the zeros of the function by factoring 3x^2+ 10x=8
Answer:
[tex]x=\frac{2}{3}, -4[/tex]
Step-by-step explanation:
hope this helps!
plplpl solve the answer
Given:
The expression is:
[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]
It can be rewritten as
[tex]=\sqrt[3]{\dfrac{(-8)\times (-8) \times (-8)}{9\times 9\times 9}}[/tex]
[tex]=\sqrt[3]{\dfrac{(-8)^3}{9^3}}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]=\sqrt[3]{\left(\dfrac{-8}{9}\right)^3}[/tex] [tex][\because \dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m][/tex]
[tex]=\dfrac{-8}{9}[/tex] [tex][\because \sqrt[n]{x^n}=x][/tex]
The value of given expression is [tex]\dfrac{-8}{9}[/tex].
Therefore, the correct option is b.
can someone help please
Answer:
A.
Step-by-step explanation:
If you divide the numerator and the denominator by 10, you get 5 over 10.
Answer:
A. 50/100
Step-by-step explanation:
10 goes into 100, 10 times. With that information all you have to is multiply 5 by 10 and you get 50!
I hope this helps, and have a great day! :)
fifteen more than twice a number is -23
Answer:
15+2x=-23
Step-by-step explanation:
Answer:
15+2x=-23
Step-by-step explanation:
2 questions,Neeed helpppp assssaaaappp!!!
Answer:
(i) (x + 3) is a factor of p(x)= x⁴ + 4x³ + 4x² + 4x + 3 and the remaining factors are (x + 1) and ( x² + 1).
(ii) (x + 1) is not a factor of p(x)= 2x⁴ - 5x² - 2 and the remainder is -5.
Step-by-step explanation:
(i) Given;
Polynomial, p(x)= x⁴ + 4x³ + 4x² + 4x + 3
Factor, = x + 3
x = -3
if (x + 3) is a factor of the polynomial, then p(-3) = 0
p(-3) = (-3)⁴ + 4(-3)³ + 4(-3)² + 4(-3) + 3
= 81 -108 + 36 - 12 + 3
= 0
(x + 3) is a factor of the given polynomial and the remainder is 0.
The remaining factors can be obtained as follows;
x³ + x² + x + 1
--------------------------------
x + 3 √x⁴ + 4x³ + 4x² + 4x + 3
- ( x⁴ + 3x³)
--------------------------------
x³ + 4x² + 4x + 3
-(x³ + 3x²)
----------------------------------
x² + 4x + 3
-(x² + 3x)
---------------------------------------
x + 3
-(x + 3)
---------------------------------------
0
Further divide x³ + x² + x + 1 by x + 1
x² + 1
---------------------
x + 1 √x³ + x² + x + 1
-(x³ + x²)
------------------------
x + 1
-( x + 1)
-----------------
0
Thus, the factors of x⁴ + 4x³ + 4x² + 4x + 3 = (x + 3)(x + 1)( x² + 1)
(ii) Given;
Polynomial, p(x)= 2x⁴ - 5x² - 2
Factor, = x + 1
x = -1
if (x + 1) is a factor of the polynomial, then p(-1) = 0
p(-1) = 2(-1)⁴ - 5(-1)² - 2
= 2 - 5 - 2
= -5
Thus, (x + 1) is not a factor of the given polynomial and the remainder is -5.
7x ( 3 x 4) = ( 7 x 3) x4
what property
Commutative
Identity
Associative
Distributive
i’ll give the brain thing
Howie works at a petting zoo. He fed a piglet 1/5 of a bottle of milk then gave 3/4 of what was left to the calf. How much of the bottle of milk did the calf drink
Answer:
[tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.
Step-by-step explanation:
Part of the bottle fed by the piglet = [tex]\frac{1}{5}[/tex]
Milk left in the bottle = 1 - [tex]\frac{1}{5}[/tex]
= [tex]\frac{5-1}{5}[/tex]
= [tex]\frac{4}{5}[/tex]
Milk drunk by the calf = [tex]\frac{3}{4}[/tex]th of the left part
= [tex]\frac{3}{4}\times \frac{4}{5}[/tex]
= [tex]\frac{3}{5}[/tex]th part of the bottle
Therefore, [tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.
I need help please and thank you !
Answer:
π(12x^3y^5z)^2
Step-by-step explanation:
I doubt your teacher would want you to evaluate the whole thing but if they do leave a comment
The diameter of the circle above is 8 cm. What is the circumference of the circle? (Use = 3.14.)
Answer:
i think it's 25.12.
Step-by-step explanation:
because you multiple 2x3.14×4
The cost of a car rental is $25 per day plus 22 per mile. You are on a daily budget of $90. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer: You can drive, at most, 2.95 miles per day.
x ≤ 2.95
Step-by-step explanation:
In a single day, you can spend at most $90
Then if C represents the cost of renting the car, then we will have the inequality:
C ≤ $90
Now let's find the equation for C.
We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:
C = $25 + x*$22.
We can now replace that in the inequality:
$25 + x*$22 ≤ $90
Now let's isolate the variable x
x*$22 ≤ $90 - $25
x*$22 ≤ $65
x ≤ $65/$22 = 2.95
x ≤ 2.95
You can drive at most, 2.95 miles per day.
To find other inequalities with the same solution we can start with the solution:
x ≤ 2.95
Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)
Let's multiply both sides by $10:
x*$10 ≤ 2.95*$10 = $29.5
x*$10 ≤ $29.5
Now let's add the same number in both sides, for example, $5.
x*$10 + $5 ≤ $29.5 + $5 = $34.5
x*$10 + $5 ≤ $34.5
We could write this problem as:
"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"
You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.
An episode of the television show, Legend of the Far Mountain, normally lasts 30 minutes and has 8 minutes of commercials. Tonight is the season finale, and the show will be 90 minutes long.
If the ratio of the show's length to the amount of commercial time is the same, how many minutes of commercials there will be during tonight's show?
Answer:
24
Step-by-step explanation:
If there will be 8 for 30
and it's 90 it mean it's just has more 30's
30 + 30+ 30=90
Pls help asap! Will give brainliest
Answer:
A and B and C
Step-by-step explanation:
Answer:
i think its B and C
Step-by-step explanation:
"Leo and Stan start to ride their bikes at the same time from the same point on a
circular track. If it takes Leo 36 seconds to complete on revolution around the
track and it takes Stan 40 seconds to make one revolution around the track, how
many minutes will it take for them to meet again at the starting point?
I need help?
Answer:
6 minutes
Step-by-step explanation:
Given
Leo = 36 sec / rev
Stan = 40 sec/rev
Required
Determine the time (in minutes) they'll meet again
We start by getting the multiples of 36 and 40 uptil we get a common multiple.
Leo: 36 = 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, .....
Stan: 40 = 40, 80, 120, 160, 200, 240, 280, 320, 360....
From above, the common multiple is:
Common Multiple = 360
This means that they'll meet at 360 seconds
Convert to minutes
360 sec = 360/60 mins
360 Seca = 6 mins
Hence,it will take them 6 minutes to meet again at the starting point
What value could you write in after 3x that would make the equation true for all values of x?
3x+12 = 3x+
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Identity property/ Associative Property
factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z
Part a)
Given the expression
[tex]54m^3n\:+\:81m^4n^2[/tex]
Apply exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn[/tex] ∵ [tex]m^4n^2=m^3mnn[/tex]
Rewrite 81 as 3 · 27
Rewrite 54 as 2 · 27
[tex]=2\cdot \:27m^3n+3\cdot \:27m^3mnn[/tex]
Factor out the common term: 27m³n
[tex]=27m^3n\left(2+3mn\right)[/tex]
Therefore,
[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)[/tex]
Part B)
Given the expression
[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z[/tex]
Apply exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z[/tex]
Rewrite as
[tex]=3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z[/tex]
Factor out common term 5y²x²z
[tex]=5y^2x^2z\left(3y+5x+7\right)[/tex]
Therefore,
[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)[/tex]
HELP! I need to know how much I got wrong! There are 23 questions on my test but the points are out of 5. When I finished the test, I got 3.26/5. How many wrong?
Answer:
8 wrong and 15 right if every question is the same points
Step-by-step explanation:
3.26/5 is 0.652
15/23 is 0.652 ish rounded
So I assume 8 wrong
Eight people went to a movie and three of them purchased a drink. Write an expression you could use to solve for the total cost if the tickets are $12 each and the drinks are $2.50 each.
Answer:
The expression : 12x + 2.50y
Total cost = $103.5
Step-by-step explanation:
The number of people that went to the movie = x
Number of people that bought drinks = y
Total cost = 12x + 2.50y
Eight people went to a movie and three of them purchased a drink
Total cost = 12 × 8 + 2.50 × 3
Total cost = 96 + 7.5
Total cost = $103.5
Identify the coefficient of the term -9c
1. C
2. -c
3. 9
4. -9
In 2010, there were 12.4 million citizens of a certain country diagnosed with diabetes. This number of cases represents an increase of about 396% over the number of cases in 1973. How many cases of diabetes were there in 1973?
Answer:
3,131,313
Step-by-step explanation:
Let X represent the number of cases with diabetes in 1973.
An increase of 396% in diabetes cases in 1973 would be;
12.4 million = 396/100 × X
12.4 million = 396X/100
Cross multiply
12.4 million × 100 = 396X
X = [(12.4 million × 100) / 396]
X = 3,131,313
Therefore, the number of diabetes cases in 1973 is 3,131,313 cases
Y varies with x. When y=39, x=3. Find the value of y when x=2
Answer:
[tex] \frac{39}{y} = \frac{3}{2} \\ y = \frac{39 \times 2}{3} \\ \boxed{y = 26}[/tex]
26 is the right answer.please help me ill give brainliest
Answer:
Ok so I think it might be multiplying or dividing
Step-by-step explanation:
My answer for multiplying is 6,732
My answer for dividing is 46.33333
Answer:
Step-by-step explanation:
There are 561 people.
When you divide by 12 you get 46 complete tables of 12
There are 9 people left over.
You can't round down. You must round up. These 9 people get a table all to themselves.
So you need 47 tables.