Answer:
By the end of the first year Dara will have $903.125 in his account.
Step-by-step explanation:
Since this a compounded interest formula, it means that the amount invested grows exponentially overtime. In order to calculate the total of money over a period of time we must use the following formula:
M(t) = M(0)*(1 + r/n)^(n*t)
Where M(t) is the amount of money in "t" years, M(0) is the amount invested, r is the anual interest rate, n is the compound period over a year and t is the time elapsed in years.
In this problem the amount is compounded half-yearly, this means that for every year that passes the money is compounded twice, therefore n is equal to 2. Applying the data from the problem to the formula, we have:
M(1) = 800*(1 + 0.125/2)^(2*1)
M(1) = 800*(1.0625)^(2)
M(1) = 800*(1.0625)^(2) =903.125
By the end of the first year Dara will have $903.125 in his account.
1. Last Wednesday, students could choose ham or turkey sandwiches for
lunch. The cafeteria made 34 turkey sandwiches and 51 hamn
sandwiches. What percentage of the sandwiches were turkey.
2. Will bought cupcakes for his sister's birthday party, 60 cupcakes had
sprinkles on top. The other 20 cupcakes did not have sprinkles. What
percentage of the cupcakes had sprinkles?
3. At Gary's Swimwear, there are eo bikini styles and 20 other types of
swimsuit. What percentage of the swimsuit styles are bikinis?
4. 6 out of the 30 employees at the sports shop are part-time employees,
What percentage of the employees at the sports shop work part-time
5. At an amusement park, 334 out of 835 tickets sold were discount
tickets, What percentage of the tickets were discount tickets?
Answer:
47%
Step-by-step explanation:
47 + 53 = 100, so 1 = 1%. 47 * 1 = 47, so it equals 47%.
Answer:
1. 40% 2. 75% 4. 20% 5. 40%
Step-by-step explanation:
1. 34/84 * 100 = 40%
2. 60/80 * 100 = 75%
4. 6/30 * 100 = 20%
5. 334/835 * 100 = 40%
Number 3 is not specific
Find the quotient: 8,441 ÷ 21 = ________. a. 400 r 12 b. 400 r 20 c. 401 r 12 d. 400 r 20
Answer:
Step-by-step explanation:
8441/21= 401 r 20
Which answer is it? A B C D
Answer:
answer:
I think the answer is B
Answer:
Hello!
Step-by-step explanation:
D is incorrect because the number in trees don't change, especially at a park.
C is incorrect because the identical beads can change.
B is incorrect because playing baseball doesn't really prove the constant rate of change.
The answer is A
Find composite function
Answer:
1 / (99 - 40x).
Step-by-step explanation:
The whole of g(x) is input to f(x), so:
we replace the x in f(x) by g(x).
f(g(x)) = 1 / [8(12 - 5x) + 3]
= 1 /( 96 - 40x + 3)
= 1 / (99 - 40x).
Which ordered pair is a solution to the system of linear equations?
2x + 3y= 6
-3x + 5y = 10
(0.2)
(2.0)
(3.2)
(2.3)
HELP
Answer:
Step 1: Substitute the value of x into the equation
x= 3-3/2y
-3x+5y=10
Step 2: Solve the equation
-3(3-3/2y)+5y=10
Step 3: Substitute the value of y into the equation
Y=2
Step 4: Solve the equation
X=3-3/2×2 = X=0
Answer: (0,2)
what is this answer plz
Answer:
THE 2 ONE
Step-by-step explanation:
Someone please help me
Answer:y= 4x+2
Step-by-step explanation:
Simplify the square root of 7 divided by square root 27
Each year, Alex gets a raise of 8% plus an additional $100. In 2011, Alex’s annual
salary was $47,563.84. (a) What will Alex’s salary be in 2013? (Round your answer to the nearest cent.) (b) What was Alex’s salary in 2009? (c) From the two options below, which deal will give Alex the higher salary after 4 years? • Take the salary scale from part b.
• In January 2010, get a raise of 8%, and in January of 2011, get a raise of 8.15%, and in the next two years, get raises of 8.30% and 8.45%, respectively.
Answer: .......................
Step-by-step explanation:
What is the perimeter of this shape?
Answer:
87 feet
Step-by-step explanation:
Two of the sides here are unknown. The one on the leftmost side is equal to 9, since on the other side it also has a length of 9 feet. The section on the top right has a length of 30-9-9=12 units. Adding all of these values together now, you get a total perimeter of:
30+9+12+9+9+9+9=87 feet
Hope this helps!
Answer:
The perimeter of this shape is 87 ft.
Step-by-step explanation:
Given that all side lengths are added together in order to find perimeter. So the perimeter is :
[tex]perimeter = 9 + 9 + 9 + 12 + 9 + 30 + 9[/tex]
[tex]perimeter = 45 + 30 + 12[/tex]
[tex]perimeter = 87 \: feet[/tex]
A company plans to scale it's logo and place it on a billboard so that drivers and pedestrians can see it easily from the ground the original logo is a square with sides of 1.25 inches after scaling the local must have a perimeter of 32 feet this action is called blank and the scale factor is blank
Answer:
enlargment and 6.4 feet per inch
Step-by-step explanation:
i got it right on mine
The blank words are:
Enlargement and 6.4.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
A company plans to scale its logo and place it on a billboard so that drivers and pedestrians can see it easily from the ground.
The original logo is a square with sides of 1.25 inches.
After scaling,
the local must have a perimeter of 32 feet.
This action is called enlargement,
and the scale factor is,
= (32/4) / 1.25
= 8 / 1.25
= 6.4.
Therefore, the scale factor is 6.4.
To learn more about the scale factor;
https://brainly.com/question/29464385
#SPJ2
The probability of an event is 3:5. What is this probability expressed as a decimal ?
Answer:
.6
Step-by-step explanation:
Ratios are just another way of writing fractions. 3:5 is just 3/5 which is .6 or 60%
Annalise earns $4 an hour walking pets in her neighborhood. She evaluates the expression 4h, where h represents the number of hours, to find the amount she earns. Can any number be substituted for h?Expain.
Answer:
Yes any number can be substituted for h
Step-by-step explanation:
The term 'h' is an independent variable any number can be substituted for h, so long as the number represents the hours worked
So if she walks pets for 8 hours
Her pay is 4*8= $32
A shipping manager weighed a random sample from a shipment of 90 boxes and made the dot plot. Which interval of weights has the greatest number of boxes?
Answer:
The interval with the most amount of dots has the greatest number of boxes.
Step-by-step explanation:
Because each dot represents equal number of box(es), the interval with the most number of dots has the greatest number of boxes.
Distance between -13,10 and -7,2
The right answer is 10 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Solve for z.
3 + 9z = –7 + 10z
z =
So the value of z is 10.
look at the attached picture
Hope it will help you
Good luck on your assignment
Need a bit of help with this question:
Firstly let's find hypotenuse(let it will be "n" of smaller triangle
Let use Pythagorean theorem
[tex]a^{2} + {b}^{2} = {n}^{2} \\ {20}^{2} + {10}^{2} = {n}^{2} \\ n = \sqrt{500} [/tex]
Now we need to find hypotenuse(x) of bigger triangle
[tex] {c}^{2} + {n}^{2} = {x}^{2} \\ {9}^{2} + { \sqrt{500} }^{2} = {x}^{2} \\ x = \sqrt{581} [/tex]
The value of x must be rounded to 1 DP, so
[tex] \sqrt{581} = 24.1039... \\ \sqrt{581} \simeq \: 24.1[/tex]
Answer: x=24.1
Serious answers only I’m giving 20 points away to whoever can help me with real explanation and I will mark you Brainiest
Answer:
1.3
Step-by-step explanation:
BC is the distance between B and C.
BC = x − (-0.4)
BC = x + 0.4
AB is the distance between A and B.
AB = -0.4 − (-1.25)
AB = -0.4 + 1.25
AB = 0.85
Substitute into the equation.
BC = 2AB
x + 0.4 = 2(0.85)
x + 0.4 = 1.7
x = 1.3
Answer:
x=1.3
Step-by-step explanation:
AB=(-0.4-(-1.25))=1.25-0.40=0.85
BC=2AB=2×0.85=1.70
x=-0.4+1.7=1.3
What is the surface area of the figure below?
A 12 ft?
B 36 ft?
C 54 ft?
D 90 ft2
Answer:
D
Step-by-step explanation:
6 times 3 times 4 plus 3 times 3 times 2
Answer:
D. 90 ft squared
Step-by-step explanation:
A= 2wl + 2lh + 2hw
A = 18 + 36 + 36
=90
Which one belong doesn't? Which angle does not belong with the other three? Explain your reasoning. Please help, thank you.
a) -90 degrees b) 450 degrees
c) 90 degrees d) -270 degrees
Answer:
450 degrees
Step-by-step explanation:
There is no angle that can possibly be 450 degrees. Angles go as far a 360 degrees and then stop.
There are 80 coins of $5 in the purse. These coins constitute 20 % of its total
coins. How many coins are there in the purse?
Answer:
320 coins I think
Step-by-step explanation:
What is the mean of the data set below? Round to the nearest tenth when necessary.19, 21, 41, 35, 43, 57
What is m wtv in degrees
We have been given image of a circle. We are asked to find the measure of angle WTV.
We know that measure of an inscribed angle is half the measure of intercepted arc.
We can see that angle WTV is inscribed angle to arc WV. So measure of angle WTV will be half the measure of arc WV.
[tex]\angle WTV=\frac{1}{2}\widehat{WV}[/tex]
[tex]\angle WTV=\frac{1}{2}\cdot 90^{\circ}[/tex]
[tex]\angle WTV=45^{\circ}[/tex]
Therefore, the measure of angle WTV is 45 degrees and 2nd option is the correct choice.
Solve for m. –8m = 3 − 9m m =
Answer:
m=3
Step-by-step explanation:
–8m = 3 − 9m
-8+9m = 3
m = 3
What is the value of 3-(-2)?
Answer:
5
Step-by-step explanation:
3 - (-2)
Subtracting a negative is adding
3+2
5
Answer:
It's positive 1
Step-by-step explanation:
Because I'm saying goat
Please help me to solve this question.
Answer:
A=266CM
Step-by-step explanation:
p=2l + 2w l=2x+1 w=x+5
66=2[2x+1] + 2{x+5] l=2x9 + 1 w=9+5
66=4x+2 + 2x+10 l=18+1 w=14
66=6x+12 l=19
66-12=6x
54=6x A=L x W
x=9 A=19 x 14
A=266CM
The first three terms of a Fibonacci sequence are n 3n 4n find the sixth term I FB the sequence
Answer:
18nStep-by-step explanation:
In the Fibonacci sequence In mathematics, the Fibonacci numbers, commonly denoted [tex]Fn[/tex], form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1.
Given data
First term= n
second term = 3n
third term = 4n
According to Fibonacci sequence the fourth term is
[tex]F4= F2 + F3\\F4=3n+ 4n= 7n[/tex]
the Fifth term is
[tex]F5= f3 + f4\\f5= 4n+7n= 11n[/tex]
hence the sixth term is
[tex]F6= F4+F5\\ F6= 7n+11n= 18n[/tex]
Jacob and Isaac decided to run to the basketball court after school. The basketball court is 514 miles from school. The boys run at a pace of 338 miles per hour. Enter the length of time, in hours, that it will take the boys to arrive at the basketball court.
Answer:
1.5 hours
Step-by-step explanation:
Divide 514 by 338 to get 1.5207 and round it to 1.5 because we are working with time
5. Dos edificios distan entre si 150 metros. Desde un punto que está entre los dos edificios, vemos
que las visuales a los puntos más altos de estos forman con la horizontal ángulos de 35° y 20
¿Cuál es la altura de los edificios, si sabemos que los dos miden lo mismo?
Answer:
35.92 m
Step-by-step explanation:
To have a better comprehension of the problem, we can draw it as in the image attached.
If we use the tangent relation in both triangles, we have:
tangent(35) = h/x
tangent(20) = h/(150-x)
From the first equation, we have:
x = h/tangent(35) = h/0.7
From the second equation, we have:
0.364 = h / (150 - h/0.7)
54.6 - 0.52h = h
1.52h = 54.6
h = 35.92 m
Find the slope
Use this form for example:y=Mx+b
Answer:
Line: y = Mx + b, passes (0, 1) => M*0 + b = 1 => b = 1
Line: y = Mx + 1, pass (2, 4) => 2M + 1 = 4 => M =3/2
=> Line: y = (3/2)x + 1
Hope this helps!
:)