Answer:
2961.63
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.12/100
r = 0.0212 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 2,500.00(1 + 0.0212/12)(12)(8)
A = 2,500.00(1 + 0.001766667)(96)
A = $2,961.63
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $2,500.00 at a rate of 2.12% per year compounded 12 times per year over 8 years is $2,961.63.
Answer:
I=$424
Step-by-step explanation:
I=PRT
I=2500×8×0.0212
I=$424
Which of the following is the product of the rational expression shown below 2/x+2•5/3x
Answer:
[tex]\frac{16}{3}[/tex]x
Step-by-step explanation:
2/x = 6/3x
6/3x + 10/3x = 16/3x
Answer:
10/(3x^2+3x)
Step-by-step explanation:
1 pts
Your school is having a drawing to give away two prizes to students with
perfect attendance. There are ten total students with perfect attendance in
the drawing and you and your best friend are two of those ten. What is the
probability that you and your friend would win the two prizes that your
school is giving away?
Answer:
20% im guessing bc they are out of ten people
find the solution of the system of equations
Answer:
( -2 , 1 )
Step-by-step explanation:
••••••••
sorry no explanation for today
Find the area of the following figure. Assume that all lines that appear to be parallel are parallel. Round to the nearest tenth if necessary.
Answer:
466in³
Step-by-step explanation:
Cut the figure in to two rectangles and one triangle. Draw an imaginary line like I did in the photo. Then solve the area of each one. First to solve the area of a, or the largest rectangle, multiply 29 by 10. You will get 290. Next, solve the area of b, or the small rectangle. Multiply 7 by 16, and you will get 112. Then, solve the area of the triangle. To get the length of the base of the triangle, subtract 10 and 7 from 25. The base length is 8. Solve the area of the triangle by multiplying 8 by 16 and then dividing by two. The area is 64. Finally, add all the areas. 290+112+64= 466. The area of the figure is 466in³.
phil worked 5 days more than jill. together they worked 25 days. how many days did each work?
Two variables are said to interact when ____. a. the two variables are differentially affected by a third variable b. both variables produce a change in the subjects' scores c. both variables are equally influenced by a third factor d. the effect of one independent variable depends on the levels of the second variable
Answer:
a.) the effect of one independent variable depends on the levels of the second variable
Step-by-step explanation:
In regression, an interaction effect comes to play whenever the effect that an independent variable has on a dependent variable changes, as regards to value(s) of other independent variables( one or more variables). The variables that give interaction effect as a result of interaction with each other is reffered to as "interacting variables" For instance, in a research whereby how "Male gender versus female gender" and their " dieting B and dieting D" influence their " weight loss" There would be interaction effect in a situation where by a " female gender" that operate on " diet B" shed more weight compare with " male gender" that operate on " diet B". It should be noted that two variables are said to interact when the effect of one independent variable depends on the levels of the second variable
A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10
square feet. What is the unit rate of ounces per square feet?
A)0.48
B)21
C)48
D) 2.08
Answer:
48(c)
Step-by-step explanation:
4.8=48 as move 10 will change 4.8 as 48Find the surface area of the Triangular prism.
A = bh
A = 1/2(bh)
Answer:
Surface area of triangular prism =1/2(bh)
=1/2(3*4)
=6
The perimeter of a triangle is 61 in. The shortest side is 8 in. less than the longest side. The middle side is 19 in. less than the combined lengths of the shortest and longest sides. Find the lengths of the three sides.
Answer:
since the lengths are consecutive odd numbers and the perimeter of the triangle is 51cms. Let x be the unknown length.
so 3x=51 ; x=17 . now the sides can be 15cms, 17cms, 19cms.
check Add them up it is 51cms which is the perimeter and the consecutive odd numbers
Liam and Michael are going to play video games this afternoon. Together, they have 38 video games. If they decide to randomly choose two video games, what is the probability that the two they choose will consist of each of their favorite video games? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The probability that the Liam and Michael are 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.
Liam and Michael are going to play video games this afternoon.
Then, Liam going to play video games = 38
Michael going to play video games = 2
In 38 video games and 2 video games are exactly what Liam and Michael need.
So,
We can write,
Probability = [tex]\frac{2C_{2} }{38C_{2} }[/tex]
As only one case is possible,
That is, [tex]2C_{2}[/tex] = 1
Probability = 1/(38!/(38-2)!2!)
= 1/(38!/36!2!)
=( 2! * 36! )/38!
= (2! * 36! )/38!*37!*36!
= 2!/38!37!
= 1/19!37!
= 1/703
= 0.001422
Rounding to nearest million ( 5 decimal )
Required probability = 0.001422
Therefore,
The probability 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.
To learn more about information visit Probability :
brainly.com/question/28730701
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Jon is taking a 625 mile trip, on the first day he drove 183 miles. How many more miles does he need to drive???
Answer:
442
Step-by-step explanation:
624-183= 442 he needs to drive 442 miles more
Type your answer into the box.
240 people are going to a charity event.
3/5 of the guests have ordered chicken for their meals.
Of the remaining guests, 12.5% have ordered gluten-free meals
How many people haven't ordered their meals yet?
Answer:
84 people
Step-by-step explanation:
if the submarine travels 518 kilometers in 14 hours, how many kilometers does the submarine travel in 1 hour
Answer:
37 km
Step-by-step explanation:
Answer:
37kph
Step-by-step explanation:
518/14=37
After basketball practice, 8 players equally shared 3 large bottles of water. What fraction of a bottle did each player get?
2. A bag contains 3 red, 4 white, and 5 blue marbles. Jason begins removing marbles from the bag at
random, one at a time. What is the maximum number of marbles he must remove to be sure that the bag
consist at least 1 marble of each colour?
(a) 1
b) 2
(c) 4
(d) 10
Answer:
c
the total number of marbles are 12 and there are 3 colours so you divide 12 by 3
A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of machines made. If X machines are made, then the unit cost is given by the function C(x)=0.7x^2-462x+88218 .
What is the minimum unit cost?
Answer:
$11988
Step-by-step explanation:
Given that,
The unit cost is given by :
[tex]C(x)=0.7x^2-462x+88218[/tex]
We need to find the minimum unit cost.
For minimum cost,
Put [tex]\dfrac{dC}{dx}=0[/tex]
So,
[tex]\dfrac{d}{dx}(0.7x^2-462x+88218)=0\\\\1.4x-462=0\\\\x=\dfrac{462}{1.4}\\\\x=330[/tex]
Put x = 330 in equation (1).
[tex]C(330)=0.7(330)^2-462(330)+88218\\\\=\$11988[/tex]
So, the minimum unit cost is equal to $11988.
Plz help if correct ill give Brainlyest
Answer:
x=21
Step-by-step explanation:
x=(16.8 * 2.5) /2=21
I really need help and this answered ASAP. thank you and sorry.
At the Cardinal corner Bookstore, three notebooks and two pens cost $6.50, while eight notebooks and four pens cost $16.00. What is the total cost for one notebook and one pen?
9514 1404 393
Answer:
$2.50
Step-by-step explanation:
The question asks for the total cost of a notebook and pen together. We don't need to find their individual costs in order to answer the question.
Sometimes we get bored solving systems of equations in the usual ways. For this question, let's try this.
The first equation has one more notebook than pens. The second equation has 4 more notebooks than pens. If we subtract 4 times the first equation from the second, we should have equal numbers of notebooks and pens.
(8n +4p) -4(3n +2p) = (16.00) -4(6.50)
-4n -4p = -10.00 . . . . . . . . . . . simplify
n + p = -10.00/-4 = 2.50 . . . . divide by the coefficient of (n+p)
The total cost for one notebook and one pen is $2.50.
__
Additional comment
The first equation has 1 more notebook than 2 (n+p) combinations, telling us that a notebook costs $6.50 -2(2.50) = $1.50. Then the pen is $2.50 -1.50 = $1.00.
One could solve for the costs of a notebook (n) and a pen (p) individually, then add them together to answer the question. We judge that to be more work.
Rewrite the expression by combining like terms.
8y^2 + 7xy – 2y^2 - 5xy + 2x
6y²+2xy+2x
Step-by-step explanation:
8y²-2y²=6y²
7xy-5xy= 2xy
2x=2x
Please this is due in 10 minutes i need help.
Answer: B. V=(1/2)(4)(1.5)(6)
Step-by-step explanation:
The formula for Volume of triangular prism:
V=bh
b=the triangle (area of a triangle)
h=height of the triangular prism
V=bh
V=(1/2)(4)(1.5)(6)
Hope this helps!! :)
Please let me know if you have any questions
Help plz if your good at finding the area of the compound figure plz help if you don’t know the answer your not needed but if you do plz help
Answer:
96cm^2
Step-by-step explanation:
We can divide it into two rectangles: 7x8 and 10x(12-8), arriving at the solution of 7cm*8cm + 10cm*4cm = 56cm^2 + 40cm^2 = 96cm^2
We can also divide it into two rectangles: 12x7 + (12-8)x(10-7), arriving at 12cm*7cm + 4cm*3cm = 84cm^2 + 12cm^2 = 96cm^2
We could also divide it to one big rectangle and one "negative" rectangle of 10x12 and -8x(10-7), arriving at 10cm*12cm - 8cm*3cm = 120cm^2 - 24cm^2 = 96cm^2
y=x^2+14x+3
what’s (x,y)
Answer:
(-7, -46)
Step-by-step explanation:
if S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.
You can try to show this by induction:
• According to the given closed form, we have [tex]S_1=3\times2^{1-1}+2(-1)^1=3-2=1[/tex], which agrees with the initial value S₁ = 1.
• Assume the closed form is correct for all n up to n = k. In particular, we assume
[tex]S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}[/tex]
and
[tex]S_k=3\times2^{k-1}+2(-1)^k[/tex]
We want to then use this assumption to show the closed form is correct for n = k + 1, or
[tex]S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}[/tex]
From the given recurrence, we know
[tex]S_{k+1}=S_k+2S_{k-1}[/tex]
so that
[tex]S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)[/tex]
[tex]S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}[/tex]
[tex]S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)[/tex]
[tex]S_{k+1}=3\times2^k-2(-1)^k[/tex]
[tex]S_{k+1}=3\times2^k+2(-1)(-1)^k[/tex]
[tex]\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}[/tex]
which is what we needed. QED
1
Type the correct answer in the box.
5 units
2 units
2 units
3 units
2 units
The area of the figure is
square units
Reset
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Answer:
Is there any more information to this so I can try and help
Can someone help me daughter I just wanna see who helps her
Answer:
Yes.
Step-by-step explanation:
The total amount needed is the amount per teacher x the volume of the water bottles.
16 x 9 = 144
since one gallon is 128 ounces,
144/128 = 1.125 = 1 1/8
Since 1 1/8 is less than 1 1/2, there is enough water.
which of the following is written as a rational function
Answer:
f(x)=x-5/3x
Step-by-step explanation:
Let A and B be two events. Suppose the probabilities P(A) = 0.5, P(
A and B) = 0.2
and P((AUB)') = 0.4. What is P(B)?
Answer:
[tex]P(B) = 0.3[/tex]
Step-by-step explanation:
We use the following formula for Venn probabilities to solve this question.
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
P((AUB)') = 0.4
This means that:
[tex]P(A \cup B) = 1 - P(A \cup B)' = 1 - 0.4 = 0.6[/tex]
We also have that:
[tex]P(A) = 0.5, P(A \cap B) = 0.2[/tex]
What is P(B)?
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]0.6 = 0.5 + P(B) - 0.2[/tex]
[tex]0.3 + P(B) = 0.6[/tex]
[tex]P(B) = 0.3[/tex]
can someone help me with these plz
solve 2x^2+3x-2 when x=5
Answer:
63
Step-by-step explanation:
2(5)²+3(5)-2
50+15-2
using bodmas
65-2
63
Answer:
63
Step-by-step explanation:
Rachel received 27 cents in change after purchasing a pet gerbil. How many different combinations of coins could she have received from the store clerk? Make a list of all the possibilities. Use the space below to write all of the possibilities. One has been done for you.
Answer:
gfddgjjjffdbbshshhshshshhshhbsbdbddbdvbd