Calc how much interest you would earn on a deposit of $8500 at 2.75%,
compounded annually, for a term of 4 years?
9514 1404 393
Answer:
$974.28
Step-by-step explanation:
The formula for the account balance is ...
A = P(1 +r)^t
Subtracting the principal gives the amount of interest.
I = P((1 +r)^t -1)
i = $8500(1.0275^4 -1) ≈ $974.28
You would earn $974.28 in interest over that time period.
Jonathan wants to the new baseball game for his game console. The game costs $45.99. If sales tax is 6%, write an equation to find the total cost of the game, represented as P.
Answer:
45.99*1.06=P
Step-by-step explanation:
In the table, the relation (x, y) is not a function if the missing value of x is ___
Answer:
6 is a answer
Step-by-step explanation:
if it is x 3+3 is equal to 6
if it is 10+10 is equal to 20
Which equation in standard form has a graph that passes through the point (5, −2) and has a slope of 72 ?
A. 7x − 2y = 35
A. 7x − 2y = 35
B. 7x − 2y = 39
B. 7x − 2y = 39
C. 7x − 2y = −31
C. 7x − 2y = −31
D. 7x − 2y = −24
D. 7x − 2y = −24
Given:
Consider the graph passes through the point (5, −2) and has a slope of [tex]\dfrac{7}{2}[/tex].
To find:
The equation of graph in standard form.
Solution:
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope and [tex](x_1,y_1)[/tex] is the point lies on the line.
Slope is [tex]\dfrac{7}{2}[/tex] and graph passes through (5,-2), so the equation of line is
[tex]y-(-2)=\dfrac{7}{2}(x-5)[/tex]
[tex]y+2=\dfrac{7}{2}(x-5)[/tex]
Multiply both sides by 2.
[tex]2(y+2)=7(x-5)[/tex]
[tex]2y+4=7x-35[/tex]
[tex]4+35=7x-2y[/tex]
[tex]39=7x-2y[/tex]
The required equation is [tex]7x-2y=39[/tex].
Therefore, the correct option is B.
One year, the population of a city was 130,000. Several years later it was 135,200.
Find the percent increase.
Answer:
Increase in percent = 4%
Step-by-step explanation:
Given:
Present population = 130,000
Future population = 135,200
Find:
Increase in percent
Computation:
Increase in population = Future population - Present population
Increase in population = 135,200 - 130,000
Increase in population = 5,200
Increase in percent = [Increase in population / Present population]100
Increase in percent = [5,200/130,000] 100
Increase in percent = 4%
To celebrate the first day of school, Reagan brought in a tray of caramel brownies and walnut brownies. The tray had a total of 20 brownies, of which 10% were caramel. How many caramel brownies did Reagan bring?
Answer:
18 I think
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Reagan brought 2 caramel brownies.
Solve using a proportion.
[tex]\frac{?}{20}[/tex]=[tex]\frac{10}{100}[/tex]
You're trying to find how many brownies he brought were caramel. We know Reagan brought a total of 20 brownies. Therefore since you don't know how many caramel brownies he brought, the fraction would be ?/20. Next, you know he brought brownies in which 10% were caramel. In proportions, the denominator would be 100% since that is the total percentage. Therefore, the proportion would be 10%/100%. Now we just have to cross multiply.
Proportion:
[tex]\frac{?}{20}[/tex]=[tex]\frac{10}{100}[/tex]
10 x 20 = 200
200/100= 2
Thus, Reagan brought 2 caramel brownies.
What is the value of a in the right triangle shown below?
15
12
O aſ
O Q=3
Oa=9
O G = 81
6)
A grill at a barbeque restaurant will be used to cook chicken logs that are 1.25 pounds each and racks of ribs that
are 7 pounds each. No more than 110 pounds of chicken legs and racks of ribs will be cooked on the grill. Which
inequality represents all possible combinations of x, the number of chicken legs that will be cooked on the grill,
and y, the number of racks of ribs that will also be cooked?
A) 1.25x + 7y s 110
B) 1.25x + 7y > 110
C) 7x +1.25y< 110
D) 7x + 1.25y > 110
Answer:
A. [tex] 1.25x + 7y \le 110 [/tex]
Step-by-step explanation:
No more than 110 lb total will be grilled. That means that the amount of meat that will be grilled is equal to or less than 110 lb.
[tex]total~weight \le 110[/tex]
The total weight is made up of the weight of the chicken legs plus the weight of the racks of ribs.
1 chicken leg weighs 1.25 lb.
x chicken legs weigh 1.25x.
1 rack of ribs weighs 7 lb.
y racks of ribs weight 7y.
The total weight of the meat is
1.25x + 7y.
That weigh must be less than or equal to 110 lb.
[tex] 1.25x + 7y \le 110 [/tex]
Answer: A. [tex] 1.25x + 7y \le 110 [/tex]
Answer:
A is the answer
Step-by-step explanation:
1.25 per every Chicken leg
Chicken leg=x
7 per every Rack of ribs
Rack of ribs= y
1.25x+7y<110
How many solutions does the equation 1/5(20x-25)=4x-5 have?
Answer:
Infinitely many solutions
Step-by-step explanation:
we need to simplify the equations
1/5(20x-25)=4x-5
distribute the 1/5
4x-5=4x-5
+5 to each side
4x=4x
divide each side by 4
x=x
since x=x there are infinitely many solutions.
Answer:
no real solutions
Step-by-step explanation:
1/5(20x-25)=4x-5
1/5(20-25)=4-5
1/5(-5)=1
-1=1
pls answer What are the values of [tex](-2)^4[/tex] and [tex]-2^4[/tex] ?
Answer:
-16
Step-by-step explanation:
please help i’ll mark brainliest
Answer:
b
Step-by-step explanation:
its a straigt line thats what linear means (line)
x-3y=-15 standard form to slope-intercept form
A line has the equation y =1/3 x - 5.
Find the equation of a
perpendicular line passing through
(3,2).
rewrite number with expression with the power of 10
8,000,000,000
Answer:
8 × 10^9
Step-by-step explanation:
hope it's helpful
Answer:
8 × 10⁹
Step-by-step explanation:
8 × 10⁹
How about this simply thing ....
Answer:
RP=16
Step-by-step explanation:
In a parallelogram, the intersection point of the diagonals represents the midpoint of each diagonal. Knowing this, we can say that RS=SP.
If RS=8, then SP=8.
RP is equal to RS + SP, and 8+8 is 16.
I hope this helps! Please comment if you have any questions :)
find the slope between the points (5,6) and (9,6)
Answer:
the slope is m=0
Step-by-step explanation:
when I put it in the graph and slope calculator I got 0
Answer:0
Step-by-step explanation:
The slope equation is y2-y1/x2-x1 so it would look like this: 6-6/5-9. If you simplify, the slope equals 0
The sum of two consecutive even integers is -170. Find these numbers.
PLEASE HELP THIS IS DUE AT 11:59PM IS 11:16!HELP HELP
Answer:
Step-by-step explanation:
-127.5 +( -42.5) i really hope this helped im sorry-
Can anyone give me a poem about tolerance
Answer: See explanation
Step-by-step explanation:
Tolerance
OH, TOLERANCE!
Imagine a world filled with various attributes of tolerance
The somewhat cheaply expensive substance
Exuding from the spirit of acceptance
Giving the assurance of living and interaction
Oh, tolerance!
Imagine the impending disaster or menace
Evidence of living in this world without tolerance
If we could reminisce the possible chaos of its absence
Then acknowledge the need to seek for its protection
Oh, tolerance!
Imagine a city filled with the fragrance of tolerance
The acquiescence of human coexistence
The aura of the essence of our existence
In a city of unity and strength
Oh, tolerance!
Remedy for our shortcomings and ignorance
Enhancing strength and resilience
Giving us evidence and endurance
To forge ahead and be hopeful that we can make progress
Oh, tolerance!
Antidote to our offences and weaknesses
Exuberance and mistakes
The consciousness that you are with us
Gives us reason to accommodate all and sundry
Oh, tolerance!
You romance our ego
Showing us reasons that we are not perfect
The remembrance of your tenets
Increases our stimulus for acceptance and coexistence
Oh, tolerance!
HELP ASAPPPPPPPP 25 POINTS
Answer:
g(x) = x² + 4x + 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 2, 1 ), thus
y = a(x + 2)² + 1
To find a substitute (0, 5) ← y- intercept into the equation
5 = a (0 + 2)² + 1 ( subtract 1 from both sides )
4 = 4a ( divide both sides by 4 )
a = 1
g(x) = (x + 2)² + 1 ← in vertex form
Expand parenthesis and simplify
g(x) = x² + 4x + 4 + 1, then
g(x) = x² + 4x + 5 ← in standard form
On neatly scaled axes, graph and then write an equation in terms of u and y for the distance Leslie travels. Let I represent time in seconds and y represent distance in meters. Then do the same for Kristin and Erie using the same set of axes.
Leslie: y= 2x
Kristin: y= 2/5x + 8
Erie: y= 5/4x + 6
For the graph, find attached below. Thanks and if you could mark me as brainliest.
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Answer:
y = x - 1
Step-by-step explanation:
Slope intercept form is y = mx + b
m is the slope and b is the y-intercept so it would be:
y = x -1 but u don't have to write 1x just x will do
Answer:
y = x - 1Step-by-step explanation:
slope intercept form
y = mx + bwhere m = 1
y-intercept = b = -1
therefore:
y = x - 1please help find the volume of the sphere and show work
Answer:
1436.76
Step-by-step explanation:
I think so
Answer: V≈1436.76
[tex]V=\frac{4}{3} \pi r^3[/tex]
4/3×π=4.1887902047863909846168578443727
r=7
7^3=343
4.1887902047863909846168578443727×343=1,436.7550402417321077235822406198
1,436.7550402417321077235822406198=1436.76
I hope this is good enough:
PLEASE HELP ASAP:(....
Answer:
A
Step-by-step explanation:
7 x 1/3 = 7/3
The Population in Corpus Christi in 1970 was 204,525. The population in 2002 was 276,877. Create an
exponential equation and find out what the population will be in 2017?
When solving for b round it to the 4 decimals to use in the Equation. WHAT WILL BE THE POPULATION IN
2017?
Answer:
The population is 2017 is 291,254
Step-by-step explanation:
The exponential equation will be in the form
P = I( 1 + r)^t
where P is the present population
I is the population initially at 1970
r is the annual growth percentage
t is the number of years since 1970
So for 2002, we have
r in this case will be 2002-1970 = 32
277,877 = 204,525(1 + r)^32
(1 + r)^32 = 1.3586
1 + r = 1.0096
r = 1.0096-1
r = 0.0096
So the growth percentage is 0.96% annually
So the population in 2017 where t will be 2017-1970 = 37 will be
P = 204,525(1 + 0.0096)^37
P = 204,525(1.0096)^37
P = 291,254
Tiana's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 50 espressos in all, 60% of which were single-shot. How many single-shot espressos did the cafe sell?
Answer:
I am pretty sure its 43.48%
Solve the inequality 5x-6<=2+(3x-4)
Answer:
x =< 2
Step-by-step explanation:
5x - 6 =< 2 + (3x - 4)
5x - 6 =< 2 + 3x - 4
5x - 3x =< 2 - 4 + 6
2x =< 4
x =< 2
please help me solve this as soon as possible.
Answer:because they are both interscting DUUUUUUUUHHHHHHH
Step-by-step explanation:
what is the missing part
Answer: the missing part is 45
suppose: the missing part is x
we use Thales theorem:
[tex]\frac{x}{18}=\frac{20}{8}\\\\=> x = \frac{20.18}{8}=45[/tex]
Step-by-step explanation:
use thales theorem to solve this question
Aluminium has a density of 2900 kg/mº. A construction company
need four cubic metres of aluminium.
Calculate the mass of the aluminium needed.
Answer:
11600kg
Step-by-step explanation:
Given parameters:
Density of aluminium = 2900kg/m³
Volume needed = 4m³
Unknown:
Mass of the aluminum needed = ?
Solution:
Density is the mass per unit volume of a substance.
Mathematically;
Density = [tex]\frac{mass}{volume}[/tex]
Mass = density x volume
Now, insert the parameters and solve;
Mass = 2900 x 4 = 11600kg
Every year on November 1, the Stablo family plants a tree. This tradition has happened for generations and the first tree the family planted is now 183 years old. Two of the trees were planted in their backyard; one is an apple tree and the other is a maple tree. The maple tree is older than 100, but was not the first tree planted. On November 1 of this year, the age of the maple tree is fifteen times the age of the apple tree.
On November 1 of some year from now, the age of the maple tree will be eleven times the age of the apple tree. How old are the trees that year?
Answer:
Apple- 14 Maple- 154
Step-by-step explanation
Since 11 x n - n is equal to a number that ends in 10, 20 etc. and the number has to be a multiple of 11 for the maple tree, and the difference has to stay the same throughout two all we need to find is 15 x n = a number that is divisable by 10. 15 x 10 = 150 so that's the age of the trees this year, and the difference between the trees is 140 so it corresponds with our rule. and the multiple of 11 that the difference is 140 is 11 x 14 = 154 and 154 - 11 = 140. Therefore the apple tree is 14 years old and the maple tree is 154 years old.