Answer: 1 7/11
please mark as brainliest
Answer:
1 7/11
Step-by-step explanation:
Question
Tim has an investment account that compounds interest continuously at a rate of 1.6%. After 5 years, he has $2400 in the
account.
How much money did he initially place in the account?
Round your answer to the nearest dollar.
Answer:
$2215
Step-by-step explanation:
The formula for continuous compound interest is P(t) = P₀[tex]e^{rt}[/tex].
$2,400 = P₀e⁽¹⁻⁰¹⁶⁾⁽⁵⁾
Divide both sides by (e⁽¹⁻⁰¹⁶⁾⁽⁵⁾) to isolate the initial amount:
($2,400) ÷ e⁽¹⁻⁰¹⁶⁾⁽⁵⁾ = (P₀e⁽¹⁻⁰¹⁶⁾⁽⁵⁾) ÷ e⁽¹⁻⁰¹⁶⁾⁽⁵⁾
$2,400 ÷ e⁽¹⁻⁰¹⁶⁾⁽⁵⁾ = P₀
Solve:
$2,400 ÷ e⁽¹⁻⁰¹⁶⁾⁽⁵⁾ = $2215.48
P₀ = $2215.48
P₀ = $2215
Hope this helps!
30 POINTS! PLEASE GRAPH AND ANSWER THE QUESTION WILL MARK BRANLIEST
Answer:
Step-by-step explanation:
put a point on -5 and put a point on -4 then write the equation on the top to show what you did, name the points then put a point on -9
Answer:
x ≥ 1
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
−x ≤ −1
Divide each term in −x ≤ −1 by −1 and simplify.
x ≥ 1
Hope this helps! :)
A family went out to dinner and their meal cost $45.50. They left a 20% tip. How much tip did they leave?
Answer:
45.5*0.2 which is 9.1
Step-by-step explanation:
Hope this helps plz hit the crown :D
HELPPP ASAP!!!!!!! PLZZZ
Answer:
8/12
Step-by-step explanation:
Please help
Find the equation of this line
Write it in the form y=mx+b
Y=?
y=1/5x because it passes through the origin
Help please I’ll give brainliest!
Which of the following is equal to the absolute value of 7?
o the distance between 7 and zero on a number line
o the distance between -3 and -4 on a number line
o the distance between -7 and 7 on a number line
the distance between 1 and 7 on a number line
A digital clock shows hours and minutes. How many times between one minute after midnight and one minute before midnight does the clock show the same when it is read forwards or backwards (for example : 15:51)
Answer:
60 seconds make 1 minute,60 minute make 1 hours.
there is a graph with 36 possible outcomes. What is the probability of rolling a sum of 10 when rolling 2 number cubes.
A. 1/12
B. 1/9
C. 1/3
D. 5/12
Answer: A
Step-by-step explanation:
Answer:
A. 1/12
Step-by-step explanation:
Please help me out I’m lost
Given:
The function is
[tex]f(x)=2x^4-4x^3+20x-100[/tex]
To find:
The remainder if f(x) is divided by (x+11).
Solution:
According to the remainder theorem, if a function f(x) is divided by (x-c), then the remainder is f(c).
On comparing (x+11) and (x-c), we get c=-11.
Using remainder theorem, if a function f(x) is divided by (x+11), then the remainder is f(-11).
Putting x=-11 in the given function.
[tex]f(-11)=2(-11)^4-4(-11)^3+20(-11)-100[/tex]
[tex]f(-11)=29282+5324-220-100[/tex]
[tex]f(-11)=34606-320[/tex]
[tex]f(-11)=34286[/tex]
Therefore, the remainder is 34286 when f(x) is divided by (x+11).
- Isabel has a mother dog and her puppy that look
exactly alike. The puppy wcighs 6 pounds, and the
mother weighs 48 pounds. Assuming the two dogs are
similar, what is the scale factor of the dilation?
Answer:
8
Step-by-step explanation:
The area of a rectangle is greater than or equal to 154 square centimeters. The width of the rectangle is 12 centimeters and the length is x
centimeters. Select the possible value(s) of x.
Plz it’s a test LOLMDJSHS
Answer:
x ≤ 12.83
(Any number under or equal to 12.8333...)
Step-by-step explanation:
154 ≥ 12x
12.833.... ≥ x
x ≤ 12.83
A board 30 metres long is to be divided into 2pieces so that the larger piece is 3 metres longer than twice the shorter piece. How long will the pieces be?
Answer: 9 and 21
Step-by-step explanation:
board=30m
divide by 2 pieces
one piece, we call it a
b, the other piece is b= 2a+3
a+b=30
a+2a+3=30
3a=30-3
3a=27
a=9
b=21
Which of the
following equations can be used with x + y = 60 to solve for x and y
Answer:
What are "the following equations" supposed to be?
Step-by-step explanation:
:)
Sean tried to drink a slushy as fast as he could. He drank 5 milliliters of slushy each second and finished all
the slushy after 50 seconds.
Graph the relationship between the amount of slushy left in the cup (in milliters) and time (in seconds).
Answer:
graph like this:
Step-by-step explanation:
First, in 5 seconds, we know that he drinks 25 mL of slushy. We know this because 1 second is 5 mL, so 5 seconds is 25 mL. So, your graph should be going from the 5 second to 25 mL mark, then the 10 second and 50 mL mark, then the 15 mL and 75 mL mark, and so on.
is {(3,-2), (4,-2), (5,-2), (6,-2) a function
Answer:
yes
Step-by-step explanation:
This function is y=-2 which is a line that doesn't overlap.
Answer: Yes
Step-by-step explanation:
When you have these problems, you can know the answer by seeing if any of the x values are the same. If there are, it will only be a function if the y value is the same.
For example:
{(1,-2),(2,3),(1,-2),(3,4) would be a function because the x values of "1" have the same y value.
Another example:
{(1,-2),(1,3),(3,4),(4,5) would not be a function because the x values of "1" does not have the same y value
Hope this helps!
PLEASE HELP :) 20 POINTS FOR IT IF U JUST ANSWER LIKE IDK OR SUM IMMA REPORT
Answer:
BC = [tex] 1.8 [/tex]
Step-by-step explanation:
∆ABC is an equilateral ∆ because all three angles are equal. Therefore, all its sides would be equal also. This means AB = BC = AC
Thus, let's find the value of x.
[tex] \frac{7}{4}x - 1 = \frac{9}{3}x - 3 [/tex]
Collect like terms
[tex] \frac{7}{4}x - \frac{9}{3}x = 1 - 3 [/tex]
[tex] \frac{7x}{4} - 3x = -2 [/tex]
[tex] \frac{7x - 12x}{4} = -2 [/tex]
[tex] \frac{-5x}{4} = -2 [/tex]
Multiply both sides by 4
[tex] \frac{-5x}{4}*4 = -2*4 [/tex]
[tex] -5x = -8 [/tex]
Divide both sides by -5
[tex] x = \frac{8}{5} [/tex]
AB = BC = AC
Therefore,
BC = [tex] \frac{7}{4}x - 1 [/tex]
Plug in the value of x
BC = [tex] \frac{7}{4}*\frac{8}{5} - 1 [/tex]
BC = [tex] \frac{56}{20} - 1 [/tex]
BC = [tex] 2.8 - 1 [/tex]
BC = [tex] 1.8 [/tex]
Conjecture: Any negative number cubed is what?
Answer:
Also a negative number
Step-by-step explanation:
negative times negative is equal to positive, positive times negative is equal to negative
First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.
What is complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, b are real numbers and i is an imaginary number.
If x is a real number,
-x is a negative real number,
(-x)³=-(x³)
e.g.(-3)³=-(3³)= -27
(-½)³=-(½)³= -(1/8)
The cube of a negative number can be calculated in the same way as you calculate for the positive number.
First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.
Learn more about complex number
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Need help asap pllzzz will give brainliest
Answer:
d. $350.00
Step-by-step explanation:
A constant is a number that does not have any variables. The additional cost would depend on the number of persons at attendance so the cost would be $10.00p which is not the constant here. Thus, $350.00 is the only constant in this situation.
Zinnia and Ruby earn $58 per week for delivering pizzas. Zinnia worked for x weeks and earned an additional total bonus of $13. Ruby worked for y weeks. Which expression shows the total money, in dollars, that Zinnia and Ruby earned for delivering pizzas?
The following equations are set up for each person
Zinnia: 58x+13
Ruby: 58y
If you need the total of both the equation is:
58x+13+58y
Hopefully this helped :) Have a great day
Answer:
I believe your answer is D, 58x+13+58y.
Step-by-step explanation:
What is
22x22x22x22x22x22 as a power?
Answer:
22^6
Step-by-step explanation:
Answer:22^6
Step-by-step explanation:
because you have 22*22 6 times take the 6 twenty twos and make that an exponent of 6 you have the base of 22 you have the exponent of 6 so you have to power of 22 to the sixth
F(x)=(x-2)(x-6) Find the x-intercepts
If ris the radius of a circle and dis its diameter, which of the following is an
equivalent formula for the circumference C= 2?
Answer:
D is the answer.
Step-by-step explanation:
The equivalent formula for the circumference C is,
⇒ C = πd
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
r is the radius of a circle and d is its diameter,
We know that;
The circumference of circle is,
C = 2πr
Where, 'r' is radius of circle
Now, We know that;
⇒ r = d / 2
Hence, We get;
The equivalent formula for the circumference C is,
⇒ C = 2π × d/2
⇒ C = πd
Thus, The equivalent formula for the circumference C is,
⇒ C = πd
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What is 7/12 plus 1/4 simplest form
Answer:
i think its 1/3 sorry if im wrong
If you are solving the equation 1/(x-4)+1=14/(x+2) by factoring, which of the following equations would you use the zero product property on?
(x - 5)(x + 4) = 0
(x - 5)(x - 10) = 0
(x + 5)(x + 10) = 0
Answer:
The equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Step-by-step explanation:
We need to solve the equation [tex]\frac{1}{(x-4)}+1=\frac{14}{x+2}[/tex]
Solving the equation:
[tex]\frac{1}{(x-4)}+1=\frac{14}{x+2}\\\frac{1+(x-4)}{x-4}= \frac{14}{x+2}\\\frac{1+x-4}{x-4}= \frac{14}{x+2}\\\frac{x-3}{x-4}= \frac{14}{x+2}\\Cross\: Multiply\\(x-3)(x+2)=14(x-4)\\x(x+2)-3(x+2)=14x-56\\x^2+2x-3x-6=14x-56\\x^2-x-6-14x+56=0\\x^2-x-14x-6+50=0\\x^2-15x+50=0[/tex]
Now, we would factorise to find value of x
[tex]x^2-15x+50=0\\x^2-5x-10x+50=0\\x(x-5)-10(x-5)=0\\(x-5)(x-10)=0[/tex]
So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Answer:
So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Step-by-step explanation:
please help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
57
Step-by-step explanation:
Which of the following situations can be represented by the expression 7 + 12x ? Select two that apply.
Answer:
theres no situations or answers.
Step-by-step explanation:
Which of the following accurately shows the range of the function defined below? [3, infinity), [2,infinity), [3,6], (-infinity, infinity)
2,infinity
Hope this helps
Answer:[2,♾)
Step-by-step explanation:
Ms. Thomas buys a new computer for $659. She plans to pay it off in 8 monthly payments. If she pays the same amount each month, which is the best estimate of her monthly payments?
Answer:
$82.38
Step-by-step explanation:
What you have to do is divide. $659 divided by 8 equals 82.375 so then you round so then it will be money. This would equal $82.38. There you go. Hope that answered your question. Mark me brainliest please!
Classify √3
√3 means the nonnegative square root of 3
√ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.
We are given a number √ 3.
We need to classify the number.
First we can see that, this is the non negative square root of the number 3.
That is when we multiply √ 3 two times, we get the number 3.
Also, we can see that, it will be an irrational number as it will be non terminating and non repeating number.
That is it will be a real irrational number.
Therefore, we get that, √ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.
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