you deposit 100$ each month into an account earning 8% interest compounded monthly. How much will you have in the account in 15 years
You would have approximately $448.68 in the account after 15 years.
To calculate the amount in the account after 15 years, compounded monthly at 8% interest, you can use the formula for compound interest:A=P×(1+r/n)^ntWhere:
A is the future value of the investment,
P is the principal amount (initial deposit),
r is the annual interest rate (as a decimal),
n is the number of times interest is compounded per year, and
t is the time the money is invested for in years.
Here,
P=100,r=0.08,n=12 (compounded monthly), and t=15 years.
A=100×(1+0.08/12)^12×15
A=100×(1+0.08/12)^180
A=100×(1+120.08)^180
A=100×(1+0.08/12)^180
A≈100×(1.00666667)^180
A≈100×4.48678
A≈448.678
Complete question:
you deposit 100$ each month into an account earning 8% interest compounded monthly. How much will you have in the account in 15 years?
Simplify the expression 1/√(1-cos^2 x) . Remember cos x= 1/csc x
How do you subtract mixed numbers
A rectangular wall has a length of 12 ft and a width of 8 ft. The wall has two rectangular windows. Each window has a width of 3 ft and a height of 5 ft. Andrea chooses a point on the wall at random to test a new paint color. What is the probability she could choose a point on a window? Enter your answer, as a decimal rounded to the nearest hundredth, in the box. P(choosing a point on a window) = The figure shows two rectangles inside a larger rectangle. The two smaller rectangles each have a length of 3 feet and a width of 5 feet. The larger rectangle has a length of 12 feet and a height of 8 feet.
Answer:
the frst guy is right go dude your rock i love bing suportive!!
Step-by-step explanation:
25 percent of the workers are on third shift.there are 33 workers on third shift. how many workers are there total?
A spinner is to be used during a probability experiment. The spinner is separated into all congruent sections of which 8 sections are orange, 4 sections are yellow, and 2 sections are green. What is the probability written in simplest form that the spinner will NOT stop on a green section during the first spin?
[tex] |\Omega|=14\\
|A|=12\\\\
P(A)=\dfrac{12}{14}=\dfrac{6}{7}\approx86\% [/tex]
krista bought 6 gallons of gasoline and paid $6.89. to the nearest tenth of a cent, what is the price of gasoline per gallon
The price per gallon of gasoline is the cost of one gallon of gasoline which can be obtained by dividing the cost by the number gasoline purchased. Hence, the price per gallon of gasoline ls $1.15
Amount of gasoline purchased = 6 gallons
Total cost = $6.89
The price per gallon of gasoline can be calculated thus :
Total cost of gasoline ÷ Amount of gasoline purchasedPrice per gallon = $6.89 ÷ 6 = $1.148
Therefore, the price per gallon of gasoline ls $1.15 (rounded to the nearest tenth)
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Solve.
2x^2 + x - 1 = 2
A 1,2
B No real solutions
C 1,-3/2
D x = (-1 plus minus 3) over 2
[tex]2x^2+x-1=2\ \ \ |-2\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\ \ |-3\\2x=-3\ \ \ |:2\\x=-\frac{3}{2}\\\\x-1=0\ \ \ |+1\\x=1[/tex]
Answer: C 1, -3/2
Plzzz help
what is the mean for the data set 582, 505, 548, 578, 511, 506, 521, 546, 570. express your answer as a decimal to the nearest tenth
Which is greater 17/20 or 22/25
What is the length of the altitude of the equilateral triangle below?
the actual right answer is c.
ANSWER
The length of the altitude is [tex]3\sqrt{3}[/tex] units
EXPLANATION
The altitude of a triangle is the vertical height of the triangle.
From the diagram the altitude is [tex]a[/tex]
Method 1: We can use Pythagoras theorem to find [tex]a[/tex]
[tex]6^2=a^2+3^2[/tex]
[tex]6^2-3^2=a^2[/tex]
[tex]36-9=a^2[/tex]
[tex]27=a^2[/tex]
We take the square root of both sides,
[tex]\sqrt{27}=a[/tex]
[tex]\sqrt{9\times3}=a[/tex]
[tex]\sqrt{9} \times \sqrt{3}=a[/tex]
[tex]3\sqrt{3}=a[/tex]
Method 2 Using Trigonometry
[tex]sin(60\degree)=\frac{a}{6}[/tex]
[tex]6sin(60\degree)=a[/tex]
[tex]a=6\times \frac{\sqrt{3}} {2}[/tex]
[tex]a=3\sqrt{3}[/tex]
What series of transformations map triangle △ABC onto △EDF to prove that ABC≅EDF ?
translation 3 units up then a reflection across x-axis
translation 3 units down then a reflection across y-axis
translation 3 units down then a reflection across x-axis
translation 3 units up then a reflection across y-axis
Answer:
translation 3 units down then a reflection across x-axis
Step-by-step explanation:
A translation is a kind of rigid motion . It trace a function that maps an object a particular distance.A reflection is a kind of rigid motion . It is mainly a flips of a shape across the line of reflection.In the given figure, we can see that Δ ABC is vertically 3 units away from the x axis .
So we translate Δ ABC by 3 units down and then reflect it across x axis to get ΔDEF.
Janet's gross salary is $2400 per month, what is her gross yearly salary
Extra Credit (3 points): Try this with actual dough (playdoh, homemade dough, clay). Form a cube. Consider the cross sections that are formed when you slice into the cube as described. Draw each slice and describe the resulting cross section. A slice through the center, parallel to a side. A slice that cuts through the left top edge and the right bottom edge. A slice that cuts across a corner through three sides of the cube. Describe in a paragraph your observations and reflections.
PLEASE ANSWER CORRECTLY ASAP:
Solve this system of equations:
y = x2 – 3x + 12
y = –2x + 14
Substitute the values of x, –1 and 2, into either original equation to solve for the values of y.
What are the solutions of the system of equations?
One solution is (–1, __ )
The second solution (2, ___)
Answer:
3
Step-by-step explanation:
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bloomingdale's marks up mink coats $3000.this represents a 50% markup on cost. What's the cost of coats
Bloomingdale's marks up mink coats [tex]\[/tex]3000. The mink coats cost [tex]\[/tex]6000.
Cost, in the context of pricing and business, refers to the amount of money or resources required to produce or acquire a product or service. It contains several expenses associated with manufacturing, production, materials, labor, overhead costs, and other costs incurred in the process.
Let's assume the cost of the mink coats is represented by the variable "C".
According to the given information, Bloomingdale marks up the mink coats by [tex]\[/tex]3000, which represents a 50[tex]\%[/tex] markup on the cost.
A 50[tex]\%[/tex] markup means the markup amount is 50[tex]\%[/tex] of the cost. In other words, the markup amount is 0.5C.
Let's set up the equation to represent this information,
C + 0.5C = Cost + Markup
1.5C = Cost + [tex]\[/tex]3000
Since the markup is $3000, we can write the equation as,
1.5C = C + [tex]\[/tex]3000
To find the cost of the coats, it is needed to solve for C.
1.5C - C = C - C + [tex]\[/tex]3000
0.5C = [tex]\[/tex]3000
Next, let's isolate C by dividing both sides of the equation by 0.5,
[tex]\frac{0.5C}{ 0.5}[/tex] = [tex]\frac{3000}{0.5}[/tex]
C = [tex]\[/tex]6000
Therefore, the cost of the mink coats is [tex]\[/tex]6000.
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Identify the number that does not belong explain why. 50.1 (repeating)- 50/2 -50.1 and the square root of 50
Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week.
Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime.
Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours.
Part C: Evan earned $510 in 1 week. How many hours (regular plus overtime) did he work? Show your work.
What is the experimental probability of the arrow stopping over section 2?
Out of 40 coins, 16 are dimes. Half of the remaining coins are quarters and the rest are pennies and nickels. There are 2 nickels for every penny. How many pennies are there?
Answer:
Option (B) is correct, 4 pennies.
the map shown is scale of 1:50 000
1) measure and state in centimeters the distance on the map from L to M
2) Calculate the actual distance in kilometers from L to M
3) The actual distance two points is 4.5 km calculate the number of centimeters that should be used to represent the distance one the map
The measure of L to M on the map is 5.8 cm . The actual distance in kilometers is 2.9km and the drawing distance corresponding to 4.5km is 9 cm.
1.)
The distance between points L and M in the drawing is 5.8 cm
2.)
Using the scale given
1 : 500001cm on the map represents 50,000 cm on ground
1 cm = 50000
5.8 cm = x cm
x = 5.8 × 50000
x = 290000 cm
converting to kilometers:
100000 cm = 1 km
290000/100000
= 2.9 km
Hence, the distance in kilometers is 2.9 km.
3.)
Given an actual distance of 4.5 km
4.5 km = 450000 cm
1 cm = 50000 cm
x cm = 450000
50000x = 450000
x = 450000/50000
x = 9 cm
Please help I don't understand, if you can please show work, thank you
what is the difference between theoretical and experimental probability
Barney has a balance of $780 on a credit card with an APR of 31.3%, compounded monthly. About how much will he save in interest over the course of a year if he transfers his balance to a credit card with an APR of 19.1%, compounded monthly? (Assume that Barney will make no payments or new purchases during the year, and ignore any possible late-payment fees.)
Answer:
Barney will save about $119.66.
Step-by-step explanation:
The compound interest formula is:
A=[tex]p(1+\frac{r}{n})^{nt}[/tex]
Case 1:
when p = 780
r = 0.313
n = 12
t = 1
Putting the values in formula:
[tex]780(1+\frac{0.313}{12})^{12}[/tex]
A = [tex]1.36204\times780=1062.39[/tex]dollars
Interest accured = [tex]1062.39-780=282.39[/tex] dollars
Case 2:
when p = 780
r = 0.191
n = 12
t = 1
Putting the values in formula:
[tex]780(1+\frac{0.191}{12})^{12}[/tex]
A = [tex]1.20863\times780=942.73[/tex]dollars
Interest accured = [tex]942.73-780=162.73[/tex] dollars
Now difference in interest in both cases = [tex]282.39-162.73=119.66[/tex] dollars
Hence, Barney will save about $119.66.
A plumber charges $100 to come to a house and $95 dollars per hour that he is there. If the total cost of the plumber’s visit to a house was $385, how many hours was the plumber working at the house?
If point N is translated 6 units to the left and 5 units down, what are the coordinates of N'?
Answer:
(-6, -5)
Step-by-step explanation:
Let the position of point N (0,0)
As we know in a graph, a graph consist of horizontal and vertical lines.
The horizontal line, known as x axis, consist of negative numbers on the left side of number line and positive numbers on right side of number line separated by 0.
Similarly, the vertical line , also know as y axis consist of negative numbers on the below side of number line and positive numbers on above side of number line separated by 0.
If we translate point N 6 units to left from origin, then the x coordinate is -6
Similarly, if we translate 5 units to down, than y coordinate is -5
Hence, the coordinates are (-6,-5)
suppose the probability that a US resident has traveled to Canada is 0.18 to Mexico is 0.09 and to both countries is 0.04 what's the probability that an American chosen at random has travel to either Canada or Mexico
Inez and Felicia had three days to read a book. Inez read 40 pages the first day, 60 pages the second day, and 125 pages the third day. Felicia read the same book, but she read an equal number of pages each of the three days. How many pages did Felicia read each day?
HELP!
What is Jacobson's conjecture?
How to do probibility
In order to solve a probability question, start by defining the sample space, which is the set of all possible outcomes in the game.
How to come up with probability ?
To calculate the probability of someone landing on an even number and a primary color in a game or situation, you need to specify the range of numbers and the set of colors that someone can land on.
Determine which outcomes are favorable for your event. In this case, you want someone to land on an even number and a primary color. So, the favorable outcomes would be even numbers (2, 4, 6) and primary colors (red, blue, yellow).
Calculate the probability of landing on an even number and landing on a primary color separately.
Probability of landing on an even number:
There are 3 even numbers out of 6 possible outcomes, so the probability is 3/6 or 1/2.
Probability of landing on a primary color:
There are 3 primary colors out of 6 possible outcomes, so the probability is 3/6 or 1/2.