Given :
Reggie deposited $1,000 into an account that earns 5% compound interest monthly.
To Find :
Worth of money after 10 years.
Solution :
We know, final amount is given by :
[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]
Here, P = initial balance
r = interest rate
n = number of times interest applied per time period
t = number of time period
Putting all given values in above equation, we get :
[tex]A=1000(1+\dfrac{0.05}{12})^{12\times 10}\\\\A =\$1647.01[/tex]
Therefore, money in his account after 10 years is $1647.01 .
Hence, this is the required solution.
PLS HELP ASAP IM TAKING A EXAM
4/15 as a decimal rounded to the nearest hundredth
Answer:
Step-by-step explanation:
I needed points ⬛️⬛️
Joanna spent 16 minutes working out on six different equipment at A gym calculate the time taken by Joanna to work out on each equipment
Answer:
2.67 minutes or 2 2/3 minutes
Step-by-step explanation:
To find the amount of time she spent on each you would divide the time by amount
16 / 6 = 2.6666...
Rounded = 2.7 minutes
Is it possible for a logarithm to equal a negative number and why?
The only numbers you can plug into a logarithm are positive numbers not equal to 1. Negative numbers, and the number 0, aren’t acceptable arguments to plug into a logarithm, but why?
The reason has more to do with the base of the logarithm than with the argument of the logarithm. To understand why, we have to understand that logarithms are actually exponents. The base of a logarithm is also the base of a power function.
When you have a power function with base 0, the result of that power function is always going to be 0. In other words, there’s no exponent you can put on 0 that won’t give you back a value of 0. Or, put a different way, 0 raised to anything is always still 0. In the same way, 1 raised to anything is always still 1.
If you raise a negative number to a positive number that’s not an integer, but instead a fraction or a decimal, you might end up with a negative number underneath a square root. And as you know, unless we’re getting into imaginary numbers, we can’t deal with a negative number underneath a square root.
So 0, 1, and every negative number presents a potential problem as the base of a power function. And if those numbers can’t reliably be the base of a power function, then they also can’t reliably be the base of a logarithm.
For that reason, we only allow positive numbers other than 1 as the base of the logarithm. Then what we know is that, if the base of our power function is positive, it doesn’t matter what exponent we put on that base (it could be a positive number, a negative number, of 0), that power function is going to come out as a positive number.
So in summary, because the base can only be a positive number, that means the argument of the logarithm can only be a positive number. Which means that in order to protect our bases, we have to only allow positive arguments inside the logarithm.
Hope this helps!
No ,it is not possible for a logarithm to equal a negative number.
What is logarithm?A logarithmic is the power to which a number must be raised in order to get some other number.
For example, the logarithm base b of a number n is the number x that when b is raised to [tex]x^{th}[/tex] power, the resulting value in n i.e.
[tex]log_{b}n = x[/tex] ⇔ [tex]b^{x} =n[/tex]
No, it is possible for a logarithm to equal a negative number because logarithm function [tex]log_{a}(b) = n[/tex] is the inverse of the exponent function [tex]a^{n} =b[/tex] where the base a>0. Since, the base a raised to any exponent n is positive, the number b must be positive.
The logarithm of a negative number b is undefined.
Hence, it is not possible for a logarithm to equal a negative number.
Learn more about logarithm here:
https://brainly.com/question/3181916
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please help im stuck and i dont have time
Answer:
a. [tex]3x^{2} \\\\[/tex]
b. [tex]5x+1[/tex]
Step-by-step explanation:
A backyard is 40.5 feet long and 25 feet wide. In order to install a pool, the yard needs to be reduced by a scale of One-third. What is the area of the reduced yard?
Answer:
112.5
Step-by-step explanation:
plz mark me brainlest if its correct lol
Answer:
112.5
Step-by-step explanation:
(Checked and correct)
Three angles are in the ratio 2 : 3 : 5 The smallest angle is 50 degrees Work out the sizes of the other two angles
Please be in-depth about it I’m so stupid
Answer:
Step-by-step explanation:
Let angles are 2x,3x,5x
So given 2x=50
X=25.
3x=3×25=75.
5x=5×25=125.
Can someone help me?
x will equal 30...set them equal to each other and solve from there
Bloomingdales pays $56 for a handbag. The markup is 25%. What is the markup? What is the selling price.
Answer:
the markup is 11.2 the original selling price was 44.8
Step-by-step explanation:
25 percent of 44.8 is 11.2 and 44.8 plus 11.2 is 56.
so 11.2 markup and 44.8 selling price
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What is the coefficient of the second term in this expression?
mn3+n+1+5k2
Answer:
0
Step-by-step explanation:
Answer:
Step-by-step explanation:
rip
M is the midpoint of CD. C is located at (-2,12) and D is located at (4,6). If g is a two digit number that has the x coordinate of M as it's tens digit and the y coordinate of M as its ones digit, what is the value of g?
Answer:
If we know that [tex]x = 1[/tex] and [tex]y = 9[/tex], the value of [tex]g[/tex] is 19.
Step-by-step explanation:
Let [tex]C(x,y) =(-2,12)[/tex] and [tex]D(x,y) =(4,6)[/tex], from Analytical Geometry and Linear Algebra we have that midpoint of CD is determined by:
[tex]M(x,y) = \frac{1}{2}\cdot C(x,y)+\frac{1}{2}\cdot D(x,y)[/tex] (Eq. 1)
[tex]M(x,y) = \frac{1}{2}\cdot (-2,12)+\frac{1}{2}\cdot (4,6)[/tex]
[tex]M(x,y) = (-1,6)+(2,3)[/tex]
[tex]M(x,y) =(-1+2,6+3)[/tex]
[tex]M(x,y)= (1,9)[/tex]
If we know that [tex]x = 1[/tex] and [tex]y = 9[/tex], the value of [tex]g[/tex] is 19.
I need help on this
Answer:
1/12, 1/10
Step-by-step explanation:
P(Bead bracelet and red shoes) - 3/3 x 2 x 2
3/12=1/4 for bead bracelet
Red shoes - 1/3
Total probability for P(Bead bracelet and red shoes=1/4 x 1/3=1/12
P(Elastic bracelet and black shoes)
2/3 x 2 x 2
2/12=1/6 for elastic bracelet
Black shoes - 3/5
Total probablility for P(Elastic bracelet and black shoes)=1/6 x 3/5=3/10=1/10
Hope I helped!
1 (-2,2) Write the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-2, 2). * (4 Points)
Answer:
y = -5x - 8
Step-by-step explanation:
Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.
[tex]\frac{y2 - y1 }{x2 - x1}[/tex]
Now plug in your points
[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]
Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.
Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept
2 = -5(-2) + b (b represents the y-intercept)
2 = 10 + b (subtract 10 from both sides)
-8 = b
The perpendicular line looks like this y = -5x - 8
Hope this helps ya! Keep smiling!
you are setting the combination on a four digit lock. you want to use the numbers 6241 but dont care what order they are in
4 Doug has been wondering where the 24 hours in a day goes. On Monday, he spent of the day sleeping, 3 of the day in school, and of the day at soccer practice. How much time was left for other activities?
Answer:
Time left for other activities = 7/24 hours
Step-by-step explanation:
The complete question is "Sam has been wondering where the 24 hours in a day goes. On Monday, he spent 1/3 of the day sleeping, 1/4 of the day in school, and 1/8 of the day at soccer practice. How much time was left for other activities?"
Spent 1/3 of the day sleeping,
Spent 1/4 of the day in school
Spent 1/8 of the day at soccer practice.
Time consumed for all these activities = (1/3+1/4+1/8)
Time consumed for all these activities = (8+6+3)/24
Time consumed for all these activities = 17/24
Time left for other activities = (1 - 17)/24
Time left for other activities = (24-17)/24
Time left for other activities = 7/24
5x+3−3x−5
I only asked this question if anyone needs to ask, so they don't have to.
Answer:
2x-2
Step-by-step explanation:
Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise? Sara would earn $______ for that week.
Answer: Sara would earn $478 for that week
Step-by-step explanation:
1. Sara's weekly salaries is $400, and she gets 6.5% on sales at her work.
2. In order to find how much she would get from the commission of $1200 worth of merchandise they sold, we need to find the 6.5% of 1200
Step 1: Our output value is 1200.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 1200=100%.
Step 4: Similarly, x=6.5%.
Step 5: This results in a pair of simple equations:
1200=100%(1).
x=6.5%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have
[tex]\frac{1200}{x} = \frac{100}{6.5}[/tex]
Step 7: Again, the reciprocal of both sides gives
[tex]\frac{x}{1200} =\frac{6.5}{100}[/tex]
⇒[tex]x=78[/tex]
Therefore, 6.5% of $1200 is $78
3. you would then need to add 400 + 78 and you get a total of $478
7x + 8 − 3x = −6 + 10
Answer:
x=-1
Step-by-step explanation:
7x + 8 − 3x = −6 + 10
4x+8=4
4x=4-8
4x=-4
x=-4/4
x=-1
Please mark Brainliest!!! Hope I helped!
Answer:x=-1
Step-by-step explanation:
A submarine dives below surface, heading downward in three moves. If each move downward was 25 1/2 feet, where is the submarine after it is finished diving?
Answer:
The submarine would be 76 1/2 feet underwater after it is finished diving
Step-by-step explanation:
Multiply 25 1/2 (the amount of feet traveled down each move) by 3 ( the amount of moves it goes downward) to get 76 1/2 feet.
A hotel has a budget of $16,000 to buy 84 new mattresses. Each mattress costs $209. The hotel manager says, "Since 80 × $200 = $16,000, I can stay within the budget." Part A Use the drop-down box to tell whether the manager's reasoning is logical. The hotel manager's reasoning Choose... logical. Part B Use the drop-down boxes to explain why the manager's reasoning is or is not logical. Since the manager rounded 84 to 80 and $209 to $200, she found an Choose... . So, the actual total cost is Choose... $16,000.
Answer:
One
Step-by-step explanation:
Una cesta de frutas tiene 888 plátanos, 333 naranjas, 555 manzanas y 666 kiwis.
For cada 333 kiwis hay 444 \_\_\_\_____\_, \_, \_, \_.
Escoge 1 respuesta:
Escoge 1 respuesta:
Answer:
plátanos
Step-by-step explanation:
si por cada 666 kiwis hay 888 plátanos, divides todo por 2, y te da 333 kiwis ⇒ 444 plátanos
1. What is the probability of an odd outcome?
2. What is the probability of an outcome less than 6?
Answer:
1. 50%
2.[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
1. The way to approach the probability of rolling an odd number is to start with the total numbers. Therefore, each dice has three even sides and three odd sides. Mathematically - 50% chance of landing on the odd number.
2. You have 'P' which represents probability. "N" which is the given ratio of the number of outcome. (NP) total number of the possible outcome.
P = N / NP
Dice has 6 faces. I.E. 1,2,3,4,5,6
= 6
NP, therefore, is the total number of possible outcome.
Faces less than 6. (1,2,4, and 5)
N = 5
P = N / NP = [tex]\frac{5}{6}[/tex] ; it can't be reduced.
In
\Delta
Δ
ABC
ABC
,
\angle A
∠A
measures exactly
88
88
o, and
\angle B
∠B
measures greater than
51
51
o. Which of the following best describes the measure of
\angle C
∠C
?
Answer:
Step-by-step explanation:
I will NEVER fly delta again after the incident of 1992!!!! DISGUSTONG
4y-9+9. Please help!!!
Answer:
Step-by-step explanation:
4y-9+9= 4y since the 9's cancel each other out.
Round 3.582307 to the nearest thousandth
Answer:
3.582
Step-by-step explanation:
Find the number in the thousandth place 2 and look one place to the right for the rounding digit 3 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
3.582
Hope this helps!! Please consider marking brainliest!!
Jedi donated bottles of alcohol.If 201 of boxes are filled with 42 bottles of alcohol how many bottles of alcohol were donated?
Answer:
8,442 bottles of alchohol were donated.
Step-by-step explanation:
201×42= 8,442
4 x _ = 10
also help me with this plz answer it don't say look it up or use hint
Answer:
2.5
Step-by-step explanation:
4 x _ = 10
_ = 10/4
_ = 2.5
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Linda made $180 for 12 hours of work.
At the same rate, how many hours would she have to work to make $135?
Answer:
I believe its 9 hours.
Step-by-step explanation:
Divide 180 by 12 to get 15
So Linda makes 15 dollars an hour
Then divide 135 by 15 to get 9
Linda would need to work 9 hours to get $135
Answer:$255
Step-by-step explanation:
The booster club will sell raffle tickets to raise money for new band uniforms. The total cost of the uniforms is $16,272. Each ticket will raise $12. What is the minimum number of tickets that the booster club needs to sell to buy the new band uniforms?
Answer: 1,356 tickets
12x=16,272
divide by 12 on both sides
12x÷12=16,272÷12
x=16,272÷12
x=1,356
I hope this is good enough:
Plz help! (picture below) Will mark brainliest or correct one!
You mean like graph? Yeah.
Write in Function form
[tex]\frac{y-3}{x-6}=2\\y-3=2(x-6)\\y=2(x-6)+3\\y=2x-12+3\\y=2x-9[/tex]
So (y-3/x-6)=2 does represent "line"
[tex]\frac{y-6}{x-4}=5[/tex]
multiply x-4 all side.
[tex]y-6=5(x-4)[/tex]
Notice how the equation is similar to "Tangent" so it's clearly a line.
About reasoning, No idea how to explain but this might help...
Whenever you get rid of the fraction part, it'll leave only y-f(a)=f'(a)(x-a) which is a Tangent Line (It explains it.)
And when you simplify in Function Form, you'll get an exact linear function "[tex]y=mx+b[/tex]"
NEED HELP ASAP!!!
Choose an equation for the line that is parallel to the given line and passes through the given point for questions 1 and 2.
1. y = 5x + 10; (2, 14) (1 point)
A.) y=-x+4
B.) y=-x-4
5
C.) y=5x - 68
D.) y=5x + 4
Answer D
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
