A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?
Answer:
14.4
Step-by-step explanation:
Given that :
Principal = 4000
Interest (r) = 6.25% compounded annually
Calculate time, t, if final amount A = 9600
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
9600 = 4000(1 + 0.0625)^t
9600 = 4000(1.0625)^t
9600/4000 = 1.0625^t
2.4 = 1.0625^t
Take the log of both sides
0.3802112 = 0.0263289t
t = 0.3802112/0.0263289
t = 14.440811
t = 14.4 ( nearest tenth)
if p = x(3x+5) - 28, then p is divisible by which of the following expressions?
Answer:
o p is factorable by 3x - 7, and x + 4
Step-by-step explanation:
Let's factor it:
[tex]p = x(3x + 5) - 28\\p = 3x^2 + 5x - 28\\p = (3x - 7)(x + 4)[/tex]
So p is factorable by 3x - 7 and x + 4
Need help with this one will mark brainliest
Answer:
Pretty sure it the 1st one
NEED HELP ASAP!!!! 15POINTS!
Factor k^2 - 81.
(k + 9)(k + 9)
(k - 9)(k - 9)
(k - 9)(k + 9)
Answer:
(k +9)(k - 9)
Step-by-step explanation:
a² - b² = (a + b)(a -b)
k² - 81 = k² - 9²
= (k +9)(k - 9)
4 times a number less than 7 times the same number is 24. Find the number.
Answer:
the number is 1
Step-by-step explanation:
4(7n-n)=24
28n-4n=24
24n=24
n=1
How many solutions does this equation have?
1/2 + 4x = - x + 2
Answer:
4
Step-by-step explanation:
..............................
Rewrite the equation y-31x= 93 as a function of x?
Pls answer quick pls.
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios.
Which table shows the same data?
Answer:
d
Step-by-step explanation:
if it takes 42 strokes to fill up 3/5 of line of typing , how many more strokes will it take to complete the line?
Answer:
28 more strokesStep-by-step explanation:
42 strokes = 3/5 of line
Divide both by 3/5
42 : 3/5 strokes = 1 line42*5/3 strokes = 1 line70 strokes = 1 line70 - 42 = 28 more strokes to complete the line
For exercises 16-18 , trace each figure and draw its rotated image
True or false: if the graph of an equation CANNOT be intersected in more than one place by a vertical line, then it is NOT a function.
Select one:
A. true
B. false
Answer:
FALSE
Step-by-step explanation:
You DON'T want a graph to be intersected by a vertical line more than once. It's called the vertical line test and is VERY useful. If it can only be intersected once, it IS A FUNCTION.
You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether they are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion?
a) Your results are significant; one's willingness to wear masks is not independent of one's age. b)Your results are significant; one's willingness to wear masks is independent of one's age.
c)Your results are not significant; one's willingness to wear masks is independent of one's age.
d) Your results are not significant; one's willingness to wear masks is not independent of one's age.
Answer:
The statistical conclusion is:
a) Your results are significant; one's willingness to wear masks is not independent of one's age.
Step-by-step explanation:
From this experiment,
The null hypothesis is established as:
H 0 = one's willingness to wear masks is independent of one's age.
The alternate hypothesis is established as:
H 1 = one's willingness to wear masks is not independent of one's age.
In statistics, if the absolute value of the test statistic is greater than the critical value, we declare statistical significance and reject the null hypothesis.
Since the test statistic = 16.5, which is higher than the critical value of 7.82, this establishes statistical significance. Thus, the null hypothesis is rejected.
Therefore, the statistical conclusion is that one's willingness to wear masks is not independent of one's age.
Question 17 (5 points)
A pet sitter charges $20 for supplies and $10 per hour of service. The equation
C = 10n + 20 describes the total cost that she would charge for n of hours of service. If a client is
charged $50 for her service, for how many hours did she babysit his dog?
2
3
7
520
Answer:
The pet sitter babysat his dog for 3 hours.
Step-by-step explanation:
You know that a pet sitter charges $ 20 for supplies and $ 10 per hour of service, represented by the equation C = 10*n + 20, which describes the total cost she would charge for n hours of service.
The pet sitter charges a customer $ 50 for his service, so C has a value of $ 50.
Replacing:
50=10*n+20
Solving:
50 - 20= 10*n +20 -20
30= 10*n
30÷10= n
3= n
The pet sitter babysat his dog for 3 hours.
for what value of 0 is cos^-1(sqrt2/2)=0?
The value of theta is pi/4
[tex]\arccos \left(\frac{\sqrt{2}}{2}\right)= \theta[/tex]
here the value of the,
What is the value of the arccos(sqrt2/2)?The value of the arccos(sqrt2/2) is,
[tex]\arccos \left(\frac{\sqrt{2}}{2}\right)=\frac{\pi }{4}[/tex]
Therefore the value of theta is pi/4
So the second option is correct.
To learn more about the trigonometric function visit:
https://brainly.com/question/24349828
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what does the dot (.) stand for in math
Answer:
The dot is called a decimal. Its what separates the whole number and the fraction of the number.
Step-by-step explanation:
For example, 0.5 is saying half, or 50 out of 100.
Need help with algebra homework, and pls show me how u got the answers.
Answer:
mathaway
Step-by-step explanation:
you should use Mathaway it helps with algebra and shows step to step
Answer:
نرظ ثثؤ ٦8٨
Step-by-step explanation:
ظننتت تربية
You have $125 in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answer: 10x=y
Step-by-step explanation:
So if you subtract 170-125 you get 50. If you divide 50 by the 5 weeks you geat 10. So there is ten dollars a week going into the bank account.
Carrie has 18 pens. Carrie has 2 more than 4
times the number of pens that Patricia has.
Exactly how many pens does Patricia have?
Answer: ( sorry I misread the problem)
I'm not sure what I'm supposed to be multiplying with
but I'll try my best
subtract 2 with 18 and divide 4 with the remaining
18 -2 = 16
then it is 16/4= 4
Pat has a total of 4pens
Solve for x , if x + 47 = -23 .
x =
Answer:
-70
Step-by-step explanation:
subtract 47 from both sides to get
x = -23 - 47
Answer:
Step-by-step explanation:
x + 47=-23
x + 47 - 47=-23 - 47
x=-70
Solve this simultaneous e
x + y = 26
3x + y = 56
Answer:
x= 15 and y= 11
Step-by-step explanation:
The goal here is to solve
x + y =26 and
3x + y =56 for the variables x and y.
First, let's work on your first equation, x + y =26
After this initial survey of the equations, the system of equations we'll set out to solve is:
x+y = 26 and 3x+y = 56
Let's start by solving x+y = 26 for the variable x.
Move the y to the right hand side by subtracting y from both sides, like this:
From the left hand side:
y - y = 0
The answer is x
From the right hand side:
The answer is 26-y
Now, the equation reads:
x = 26-y
To isolate the x, we have to divide both sides of the equation by the other variables
around the x on the left side of the equation.
and this is the final solution to your equation.
Next, let's solve 3x+y = 56 for the variable y.
Move the 3x to the right hand side by subtracting 3x from both sides, like this:
From the left hand side:
3x - 3x = 0
The answer is y
From the right hand side:
The answer is 56-3x
Now, the equation reads:
y = 56-3x
To isolate the y, we have to divide both sides of the equation by the other variables
around the y on the left side of the equation.
and this is the final solution to your equation.
Now, plug the earlier result, x=26-y, in for x everywhere it occurs in
y=56-3x.
This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.
26-y evaluates to 26-y
Multiply 3 by 26-y
we multiply 3 by each term in 26-y term by term.
This is the distributive property of multiplication.
Multiply 3 and 26
1
3 × 26 = 78
Multiply 3 and -y
Multiply 1 and y
The y just gets copied along.
y
3 × -y = -3y
3*(26-y) evaluates to 78-3y
56 - 78 = -22
The answer is -22+3y
56-3*(26-y) evaluates to -22+3y
Move the 3y to the left hand side by subtracting 3y from both sides, like this:
From the left hand side:
y - 3y = -2y
The answer is -2y
From the right hand side:
3y - 3y = 0
The answer is -22
Now, the equation reads:
-2y = -22
To isolate the y, we have to divide both sides of the equation by the other variables
around the y on the left side of the equation.
The last step is to divide both sides of the equation by -2 like this:
To divide y by 1
The y just gets copied along in the numerator.
The answer is y
-2y ÷ -2 = y
-22 ÷ -2 = 11
The solution to your equation is:
y = 11
Lastly, to find the solution for x, we plug this answer for y into the earlier result that
x=26-y.
This gives x=26-(11). Now, simplify this.
26-(11) evaluates to 15
x= 15
So, the solutions to your equations are:
x= 15 and y= 11
Answer:
(15, 11 )
Step-by-step explanation:
Given the 2 equations
x + y = 26 → (1)
3x + y = 56 → (2)
Subtract (1) from (2) term by term to eliminate y, that is
2x = 30 ( divide both sides by 2 )
x = 15
Substitute x = 15 into either of the 2 equations and solve for y
Substituting into (1)
15 + y = 26 ( subtract 15 from both sides )
y = 11
solution is (15, 11 )
Help me out here pleaseeeeeeeeee
I WILL GIVE BRAINLIEST
Given the function: f(x)= 3x+6. What is the inverse function of f(x)?
The picture above provides the answer choices and the function given.
Answer:
Concept: Inverse Functions
We want the inverse of a root function which is x^1/2 Now we combine that result to get [tex] {f}^{ - 1} (x) = \frac{ { x }^{2} }{3} - 2[/tex]Rate brainlistPLEASE help it’s a multiple choice question i’ll mark u brainliest
In August, the Simons' water bill was $48. In September, it was $50. Calculate the percent increase and round to the nearest percent?
41%
400%
40%
4%
Answer:foooo
Step-by-step explanation:
I need help for this question, also please shhowthe working out.
Answer:
Her weekly wage is $1150.
Step-by-step explanation:
It is given that,
Grace spent 16% of her weekly wage on a new bookshelf that cost $184.
We need to find her weekly wage.
Let her weekly wage is x.
ATQ,
[tex]16\%\ of\ x=184\\\\x=\dfrac{184}{16\%}\\\\=\dfrac{184}{\dfrac{16}{100}}\\\\=\$1150[/tex]
So, her weekly wage is $1150.
Stacy invested $3400 at 18%
Answer:
So?
Step-by-step explanation:
please help ASAP please
2/3 is the answer becuase 72/6 = 12 12/6 = 2/3
Xavier Dupree deposited $1,400 in a new regular savings account that earns 6.5 percent
interest compounded monthly. He made no other deposits or withdrawals. What is the
amount
in the account after 9 months?
O $1,493.76
O $1,422.87
O 1,446.12
O $1,469.75
NEED HELP WIT DIS ASAP PLS ITS THE FINAL
Answer:
it's a or c
Step-by-step explanation:
Solve the equation. 4(x + 5) - 4 = 4
Answer: How to solve your question
Your question is
4
(
+
5
)
−
4
=
4
4(x+5)-4=4
4(x+5)−4=4
Solve
1
Distribute
4
(
+
5
)
−
4
=
4
{\color{#c92786}{4(x+5)}}-4=4
4(x+5)−4=4
4
+
2
0
−
4
=
4
{\color{#c92786}{4x+20}}-4=4
4x+20−4=4
2
Subtract the numbers
3
Subtract
1
6
16
16
from both sides of the equation
4. Simplify
5. Divide both sides of the equation by the same term
6. Simplify
Solution
=
−
3
Step-by-step explanation: I got this from a website but i hope this helps!!!!