Answer:
Annual deposit= $4,699.46
Step-by-step explanation:
Giving the following information:
Future value (FV)= $25,000
Number of periods (n)= 5 years
Interest rate (i)= 3.1% = 0.031
To calculate the annual deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (25,000*0.031) / [(1.031^5) - 1]
A= $4,699.46
if 1 case of 500 20oz. cups cost 48.38 how much does one cup cost (show all work)
Answer:
Step-by-step explanation:
if 500 cups costs 48.38
than one cup will cost
48.38/500=0.096 cents per cup
hey guys please help me solve this math question
Step-by-step explanation:
When x = -2, x + 2 = (-2) + 2 = 0.
Answer:
0........
Step-by-step explanation:
x= -2
-2+2= 0
HELP!! ASAP!!
Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?
Answer:
the drawing would be 2 inches
Step-by-step explanation:
A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours longer than the train. How many hours does each travel? What equation would represent the total distance traveled by both the train and the truck? [Hint: Remember the distance traveled formula d = rt.]
Answer:
6-hours
D = C + T
Step-by-step explanation:
The following equations represent the total distance travelled by each vehicle, the truck (C) and the Train (T) where x is the amount of time travelling in hours...
C = 45x
T = 60x
Since the truck traveled 2 hours longer than the train we can add this value to the variable x in the truck's distance equation and then make both equations equal one another to calculate the number of hours before they cover the same distance...
45(x+2) = 60x ... distribute 45 evenly
45x + 90 = 60x ... subtract 45x from both sides
90 = 15x ... divide both sides by 15
6 = x
Finally, we can see that both vehicles would have traveled the same distance at the 6-hour mark. Now to calculate the total distance traveled (D) we can use the following equation...
D = C + T
-9 less than or equal to -6 add 15 to both sides
Blake burns 4 1 2calories in 2 3of a minute riding his bike. What is Blake’s unit rate?
Answer:
(4 1/2) / (2/3) =
(9/2) / (2/3) =
9/2 * 3/2 =
27/4 =
6 3/4 (or 6.75) calories per minute
Step-by-step explanation:
**due soon, pls help!**
Which expression is equivalent to (8x - 6) – (5x-4)?
A. 13x - 10
C. 3x - 10
B. 13x-2
D. 3x-2
Hey,
Answer : 3x-2
Here is the solution;
[tex](8x - 6) - (5x - 4) \\ = (8x - 6) + ( - 5x + 4) \\ = 3x - 2[/tex]
Good luck :)
Which equation best represents the data shown in the scatter plot below?
Answer:
y=3/2x+3
Step-by-step explanation:
Answer:
y=3/2x+3
Step-by-step explanation:
If g(x) = 3(x − 2), find the value of x if g(x) = 6.
A. 12
B. 2.6
C. 8
D. 4
what is x − 2 y − 2 = 0 in slope intercepct form?
Answer:
y=1/2x-1
Step-by-step explanation:
hope this helps
The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It cost the school $300 to pay the referees for the game. The school wants to make a profit on the game, and 75 people attended. This is represented by the system:
5x+3y>300
x+y=75
Which of the following points is a solution to the system?
a. (25,70)
b. (30,45)
c. (20,15)
d. (40,35)
Answer:
b.
Step-by-step explanation:
5*30+3*45>300
150+135
30+45=75
Answer:
B)
Step-by-step explanation:
30, 45
Marco need to buy some dog food at the nearest store six bags of dog food cost $25.50 how much would Marcos bag of five bags of dog food
Answer:
Five bags of dog food costs $21.25.
Step-by-step explanation:
We can solve using proportions.
[tex] \frac{6 \: bags}{25.50 \: dollars} = \frac{5 \: bags}{x} \\ \\ \frac{127.5}{6} = \frac{6x}{6} \\ \\ 21.25 = x \\ 21.25 \: dollars = x[/tex]
Find the number that belongs in the green box.
Round your answer to the nearest tenth.
I think answer is the 10.
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
How much was the tip in dollars?
How much was the tip as a percentage of the bill?
Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
How much was the tip in dollars? $7.77
How much was the tip as a percentage of the bill? 18.5%
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25 1.How much money did Bruce spend in all? 2. How much change did he get back?
Answer:
1. $13.7
2. $6.3
Step-by-step explanation:
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25
1. How much money did Bruce spend in all?
$7.50 + $3.95 + $2.25
=$13.7
2. How much change did he get back?
= $20 - $13.7
= $6.3
I have $5 I want to get 2 things of beads to get one package it is $2.85 would I have enough to buy 2 packages of beads?
9x=-9
pls help asap
Planes A and B are shown.
If a new line, p, is drawn parallel to line I, which
statement is true?
n
VI A
Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
Line p must be drawn so that it can lie in the same
plane as linel.
O Line p must be drawn in the same plane as line n.
m
Answer: C: Line p must be drawn so that it can lie in the same plane as line l
Step-by-step explanation: edge 2020
Line p must be drawn so that it can lie in the same plane as line l.
Option C is correct.
What is Coordinate Geometry?One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.
As per the given data:
A new line, p, is drawn parallel to line I.
We have to find that which of the statements from the given options in the question are true.
It was discovered that the specified set of lines consisted of plane A having line m and plane B having line n. Lines m and n are orthogonal to one another.
The new line l has been created parallel to line p in accordance with the planes. It has been possible for line p to cross the plane B. Line l has therefore also been intersecting plane B.
The line p has been drawn such that it is on the same plane as the line l since a line cannot cross its own plane. Option C is right as a result.
Hence, Line p must be drawn so that it can lie in the same plane as line l.
To learn more about Coordinate Geometry, click:
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There are 159 students to be grouped in math teams. Each team is to have the same number of students. Can each team have 3, 4, 5 or 6 students?
Answer:
3 students for each team
Step-by-step explanation:
Answer:
Each team can have 3 students.
Step-by-step explanation:
159 students grouped in three's = 159/3=53
The same thing goes for if they were grouped in 4's, 5's, or 6's.
159/4=39.75 159/5=31.8 159/6=26.5
And since you cant divide single students into splits objects, 3 is
the only solution that works.
Hope this helps. :)
can I please have help
Answer:
15a+12ac+6ab
Step-by-step explanation:
3a(5 + 4c + 2b)
5*3a = 15a
4c*3a = 12ac
2b*3a = 6ab
Help me classify the triangles by its sides and measuring its angles :)
Answer:
Triangle 1: Isosceles obtuse
Triangle 2: Right scalene
Step-by-step explanation:
Isosceles triangles have two congruent sides and two congruent angles. Triangle one fits this description because the double markers on sides AC and AB indicate that the two sides are congruent.
Obtuse triangles have an angle that is larger than 90 degrees. Triangle one fits this description as indicated by angle A. If it were a right angle, it would have a square symbol (as shown in triangle 2). The other two angles are obviously smaller, and they would be acute angles.
Right triangles have an angle that is exactly 90 degrees. Right triangles will have a square to indicate that it has this measurement.
Scalene triangles have three different measurements for its sides and its angles.
Question: What is the number of the parking space covered by the car?
Answer:
93
Step-by-step explanation:
15 3/8+756-
What is the answer
Answer: 771 3/8
Step-by-step explanation:
15 3/8+756
we can apply the assosiative propery and do 15+756+3/8
so 15+756= 771
so finally you do 771+3/8=771 3/8
In a bag of keys, there are 14 silver keys, 7 black keys, 10 copper keys, and 4 painted keys of various colors. One key is drawn out
at random. What is the probability that the key that is drawn is silver or copper?
Answer:
D. 24/35
Step-by-step explanation:
Step one:
Given
Sample space
14 silver keys,
7 black keys,
10 copper keys, and
4 painted keys of various colors
Sample size= 14+7+10+4= 35
in probability "or" means that we need to add events.
Hence, the probability that the key that is drawn is silver
= 14/35
the probability that the key that is drawn is copper
=10/35
Step two:
The probability that the key that is drawn is silver or copper
14/35+10/35
=14+10/35
24/35
I need to k ow the answer pls show work
If ∠1 ≅ ∠2 ≅ ∠3, ∠4 ≅ ∠5, and m∠4 = m∠3 + 10°, What is m∠5?
Answer: 60° is the right answer
Step-by-step explanation:
The ratio of North American butterflies to South American butterflies at a butterfly park is 6:2. What is the ratio of North American butterflies to ALL butterflies?
Answer:
6:8
Step-by-step explanation:
From the above question, we are told that:
The ratio of North American butterflies to South American butterflies at a butterfly park is 6:2.
The sum of the proportion = 6 + 2 = 8
The ratio of North American butterflies to ALL butterflies is given as :
6 : 8
Solve A= Iw for I.
I need help please
Answer:
After solving the given formula for l, we get
l = A/w
Step-by-step explanation:
Given formula is:
A = lw
The given formula is the formula for area of a rectangle.
Solving for a particular variable means that the variable has to be isolated on one side of the equation.
In order to solve,
Dividing both sides by w
[tex]\frac{A}{w} = \frac{lw}{w}\\l = \frac{A}{w}[/tex]
Hence,
After solving the given formula for l, we get
l = A/w
WILL GIVE BRAINLIEST ! A marble is picked at random.Without putting the first marble back,a second marble is picked at random find the probability that the fist marble picked is green and the second marble is picked red write your result as a percentage
Step-by-step explanation:
The percentage is 1/2 * 2/5 = 1/5 = 20%.
The probability that the first marble picked is green, and the second marble is picked red is 20%
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Given that, there are six marbles in total, 3 are green, 2 are red and one is brown,
we need to find the probability that the first marble picked is green, and the second marble is picked red,
So, P(E) = favorable outcome / total outcome
Therefore, the probability that the first marble picked is green, and the second marble is picked red = 3/6 x 2/5 = 6/30 = 1/5 = 20%
Hence, the probability that the first marble picked is green, and the second marble is picked red is 20%
Learn more about probability click;
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several perople form groups with four people in each group. write an expression for the number of groups formed by p people. how many groups are formedif there are 28 people
Answer:
a) an expression for the number of groups formed by p people
number of groups formed = [tex]\frac{p}{4}[/tex]
b) How many groups are formed if there are 28 people
number of groups formed = [tex]\frac{p}{4}[/tex]
=28÷4
= 7
Answer: 7 groups
HOPE THIS WILL HELP :)